%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP028^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:23:37 AM UTC 2026
% Result : Theorem 127.22s 21.46s
% Output : CNFRefutation 21.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 354
% Syntax : Number of formulae : 6367 (2321 unt; 0 typ; 0 def)
% Number of atoms : 44112 (17808 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 81270 (14780 ~;11957 |; 162 &;52940 @)
% ( 0 <=>;1431 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 7435 (7435 >; 0 *; 0 +; 0 <<)
% Number of symbols : 324 ( 321 usr; 15 con; 0-6 aty)
% Number of variables : 21227 ( 620 ^;20475 !; 132 ?;21227 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_e,type,
e: $tType ).
thf(tp_produc169085773_a_a_e,type,
produc169085773_a_a_e: $tType ).
thf(tp_produc1691597095_set_a,type,
produc1691597095_set_a: $tType ).
thf(tp_produc1965228714_set_a,type,
produc1965228714_set_a: $tType ).
thf(tp_produc715398134_a_a_e,type,
produc715398134_a_a_e: $tType ).
thf(tp_set_Pr1710391469_a_a_e,type,
set_Pr1710391469_a_a_e: $tType ).
thf(tp_set_Pr204296108_a_a_e,type,
set_Pr204296108_a_a_e: $tType ).
thf(tp_set_Pr2045688071_set_a,type,
set_Pr2045688071_set_a: $tType ).
thf(tp_set_Pr305929312_set_a,type,
set_Pr305929312_set_a: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_a_e,type,
set_a_e: $tType ).
thf(tp_set_se821189730_a_a_e,type,
set_se821189730_a_a_e: $tType ).
thf(tp_set_set_a,type,
set_set_a: $tType ).
thf(tp_set_set_set_a,type,
set_set_set_a: $tType ).
thf(tp_a1,type,
a1: set_a ).
thf(tp_a2,type,
a2: set_a ).
thf(tp_a3,type,
a3: set_a ).
thf(tp_b1,type,
b1: a > e ).
thf(tp_b2,type,
b2: a > e ).
thf(tp_b3,type,
b3: a > e ).
thf(tp_bNF_Gr1872575811_a_a_e,type,
bNF_Gr1872575811_a_a_e: set_set_a > ( set_a > set_a ) > ( set_a > a > e ) > set_Pr204296108_a_a_e ).
thf(tp_bNF_Gr2072183031_a_a_e,type,
bNF_Gr2072183031_a_a_e: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e ).
thf(tp_bNF_fs1024561536_e_a_e,type,
bNF_fs1024561536_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(tp_bNF_pi1175744974_e_a_e,type,
bNF_pi1175744974_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > a > e ).
thf(tp_bNF_pi929741261_a_a_e,type,
bNF_pi929741261_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > set_a ).
thf(tp_bNF_sn375433437_a_a_e,type,
bNF_sn375433437_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(tp_c,type,
c: set_Pr204296108_a_a_e ).
thf(tp_collec1369693387_a_a_e,type,
collec1369693387_a_a_e: ( produc715398134_a_a_e > $o ) > set_Pr204296108_a_a_e ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_set_a,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(tp_converse_a_e_set_a,type,
converse_a_e_set_a: set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(tp_converse_set_a_a_e,type,
converse_set_a_a_e: set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(tp_domain_set_a_a_e,type,
domain_set_a_a_e: set_Pr204296108_a_a_e > set_set_a ).
thf(tp_finite33065488_a_a_e,type,
finite33065488_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(tp_finite_Fpow_a,type,
finite_Fpow_a: set_a > set_set_a ).
thf(tp_finite_Fpow_set_a,type,
finite_Fpow_set_a: set_set_a > set_set_set_a ).
thf(tp_fun_in_rel_set_a_a_e,type,
fun_in_rel_set_a_a_e: set_Pr204296108_a_a_e > set_a > ( a > e ) > $o ).
thf(tp_image_1149879910_e_a_e,type,
image_1149879910_e_a_e: ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e > set_a_e ).
thf(tp_image_1441218763_set_a,type,
image_1441218763_set_a: ( set_Pr204296108_a_a_e > set_set_a ) > set_se821189730_a_a_e > set_set_set_a ).
thf(tp_image_1875450791_set_a,type,
image_1875450791_set_a: ( produc715398134_a_a_e > produc1965228714_set_a ) > set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(tp_image_1930509541_set_a,type,
image_1930509541_set_a: ( set_a > set_set_a ) > set_set_a > set_set_set_a ).
thf(tp_image_1956910981_set_a,type,
image_1956910981_set_a: ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a ).
thf(tp_image_2101504031_set_a,type,
image_2101504031_set_a: ( produc169085773_a_a_e > produc1691597095_set_a ) > set_Pr1710391469_a_a_e > set_Pr2045688071_set_a ).
thf(tp_image_210900495_a_a_e,type,
image_210900495_a_a_e: ( set_a > produc715398134_a_a_e ) > set_set_a > set_Pr204296108_a_a_e ).
thf(tp_image_2116492353_a_e_a,type,
image_2116492353_a_e_a: ( produc715398134_a_a_e > a ) > set_Pr204296108_a_a_e > set_a ).
thf(tp_image_376979367_a_a_e,type,
image_376979367_a_a_e: ( produc1965228714_set_a > produc715398134_a_a_e ) > set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(tp_image_402591269_set_a,type,
image_402591269_set_a: ( set_set_a > set_a ) > set_set_set_a > set_set_a ).
thf(tp_image_625620211_a_a_e,type,
image_625620211_a_a_e: ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(tp_image_64240033_set_a,type,
image_64240033_set_a: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > set_set_a ).
thf(tp_image_a_a,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(tp_image_a_a_e,type,
image_a_a_e: ( a > a > e ) > set_a > set_a_e ).
thf(tp_image_a_e_a,type,
image_a_e_a: ( ( a > e ) > a ) > set_a_e > set_a ).
thf(tp_image_a_set_a,type,
image_a_set_a: ( a > set_a ) > set_a > set_set_a ).
thf(tp_image_a_set_set_a,type,
image_a_set_set_a: ( a > set_set_a ) > set_a > set_set_set_a ).
thf(tp_image_set_a_a,type,
image_set_a_a: ( set_a > a ) > set_set_a > set_a ).
thf(tp_image_set_a_a_e,type,
image_set_a_a_e: ( set_a > a > e ) > set_set_a > set_a_e ).
thf(tp_image_set_a_set_a,type,
image_set_a_set_a: ( set_a > set_a ) > set_set_a > set_set_a ).
thf(tp_image_set_set_a_a,type,
image_set_set_a_a: ( set_set_a > a ) > set_set_set_a > set_a ).
thf(tp_member1258382221_a_a_e,type,
member1258382221_a_a_e: produc715398134_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(tp_member1437121347_a_a_e,type,
member1437121347_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e > $o ).
thf(tp_member360729153_set_a,type,
member360729153_set_a: produc1965228714_set_a > set_Pr305929312_set_a > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_a_e,type,
member_a_e: ( a > e ) > set_a_e > $o ).
thf(tp_member_set_a,type,
member_set_a: set_a > set_set_a > $o ).
thf(tp_member_set_set_a,type,
member_set_set_a: set_set_a > set_set_set_a > $o ).
thf(tp_ord_le2103863998_set_a,type,
ord_le2103863998_set_a: set_set_set_a > set_set_set_a > $o ).
thf(tp_ord_le318720350_set_a,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(tp_ord_le700723212_a_a_e,type,
ord_le700723212_a_a_e: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(tp_ord_le802356416_set_a,type,
ord_le802356416_set_a: set_Pr305929312_set_a > set_Pr305929312_set_a > $o ).
thf(tp_ord_less_eq_o_set_a,type,
ord_less_eq_o_set_a: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_ord_less_eq_set_a_e,type,
ord_less_eq_set_a_e: set_a_e > set_a_e > $o ).
thf(tp_order_Greatest_set_a,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(tp_pow_Pr328302361_a_a_e,type,
pow_Pr328302361_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(tp_pow_a,type,
pow_a: set_a > set_set_a ).
thf(tp_pow_set_a,type,
pow_set_a: set_set_a > set_set_set_a ).
thf(tp_produc100464700_set_a,type,
produc100464700_set_a: produc1965228714_set_a > produc715398134_a_a_e ).
thf(tp_produc1040928388_a_a_e,type,
produc1040928388_a_a_e: produc715398134_a_a_e > set_a ).
thf(tp_produc1096319049_a_a_e,type,
produc1096319049_a_a_e: ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > set_Pr204296108_a_a_e ).
thf(tp_produc1134456688_a_a_e,type,
produc1134456688_a_a_e: set_a > ( a > e ) > produc715398134_a_a_e ).
thf(tp_produc1341862587_a_e_o,type,
produc1341862587_a_e_o: ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > $o ).
thf(tp_produc1443219402_e_a_e,type,
produc1443219402_e_a_e: ( set_a > set_a ) > ( ( a > e ) > a > e ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(tp_produc1620938593_set_a,type,
produc1620938593_set_a: ( set_a > ( a > e ) > set_set_a ) > produc715398134_a_a_e > set_set_a ).
thf(tp_produc1809800494_set_a,type,
produc1809800494_set_a: produc1965228714_set_a > set_a ).
thf(tp_produc317566658_a_a_e,type,
produc317566658_a_a_e: produc715398134_a_a_e > a > e ).
thf(tp_produc385678576_set_a,type,
produc385678576_set_a: produc1965228714_set_a > a > e ).
thf(tp_produc387505142_set_a,type,
produc387505142_set_a: ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc169085773_a_a_e > produc1691597095_set_a ).
thf(tp_produc479206876_set_a,type,
produc479206876_set_a: ( a > e ) > set_a > produc1965228714_set_a ).
thf(tp_produc755714512_a_a_e,type,
produc755714512_a_a_e: produc715398134_a_a_e > produc1965228714_set_a ).
thf(tp_produc952037978_a_e_o,type,
produc952037978_a_e_o: ( produc715398134_a_a_e > $o ) > set_a > ( a > e ) > $o ).
thf(tp_range_set_a_a_e,type,
range_set_a_a_e: set_Pr204296108_a_a_e > set_a_e ).
thf(tp_relcom658603713_e_a_e,type,
relcom658603713_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(tp_relcom779348378_a_a_e,type,
relcom779348378_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(tp_sK100_SY2567,type,
sK100_SY2567: set_Pr204296108_a_a_e > ( set_a > $o ) > set_a > a > e ).
thf(tp_sK101_SY2568,type,
sK101_SY2568: set_Pr204296108_a_a_e > ( ( a > e ) > $o ) > ( a > e ) > a > e ).
thf(tp_sK102_SY2509,type,
sK102_SY2509: set_a > ( a > e ) > ( ( a > e ) > set_a > $o ) > set_Pr204296108_a_a_e > set_a ).
thf(tp_sK103_SY2513,type,
sK103_SY2513: set_a > set_a > a ).
thf(tp_sK104_SY2514,type,
sK104_SY2514: set_set_a > set_set_a > set_a ).
thf(tp_sK105_SY2570,type,
sK105_SY2570: ( ( a > e ) > a > e ) > set_Pr204296108_a_a_e > ( set_a > set_a ) > produc715398134_a_a_e > a > e ).
thf(tp_sK106_SY2029,type,
sK106_SY2029: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK107_SY2522,type,
sK107_SY2522: set_set_a > set_set_a > set_a ).
thf(tp_sK108_SY2526,type,
sK108_SY2526: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK109_SV980,type,
sK109_SV980: ( $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK10_SY1930,type,
sK10_SY1930: set_set_a > set_set_a > set_a ).
thf(tp_sK110_SY2109,type,
sK110_SY2109: set_a > set_a > a ).
thf(tp_sK111_SY2529,type,
sK111_SY2529: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK112_SY2532,type,
sK112_SY2532: set_a > set_a > a ).
thf(tp_sK113_SY2547,type,
sK113_SY2547: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK114_SY2269,type,
sK114_SY2269: set_set_a > set_set_a > set_a ).
thf(tp_sK115_SY2572,type,
sK115_SY2572: set_Pr305929312_set_a > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > set_a ).
thf(tp_sK116_SV988,type,
sK116_SV988: set_a > ( $o > set_a ) > set_a > ( set_a > $o > set_a ) > $o ).
thf(tp_sK117_SV989,type,
sK117_SV989: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK118_SV990,type,
sK118_SV990: set_set_a > ( $o > set_a ) > set_set_a > ( set_set_a > $o > set_a ) > $o ).
thf(tp_sK119_SY2506,type,
sK119_SY2506: set_Pr204296108_a_a_e > ( set_set_a > set_a ) > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK11_SY1975,type,
sK11_SY1975: ( set_a > produc715398134_a_a_e ) > ( produc715398134_a_a_e > set_a ) > set_a ).
thf(tp_sK120_SV991,type,
sK120_SV991: produc715398134_a_a_e > produc715398134_a_a_e > a ).
thf(tp_sK121_SY2574,type,
sK121_SY2574: set_Pr204296108_a_a_e > ( ( a > e ) > set_a > $o ) > ( a > e ) > set_a > a > e ).
thf(tp_sK122_SV996,type,
sK122_SV996: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK123_SV998,type,
sK123_SV998: set_Pr204296108_a_a_e > set_a > ( a > e ) > ( a > e ) > a ).
thf(tp_sK124_SV1004,type,
sK124_SV1004: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK125_SY2546,type,
sK125_SY2546: set_Pr204296108_a_a_e > ( set_set_a > set_a ) > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK126_SV1009,type,
sK126_SV1009: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK127_SY2322,type,
sK127_SY2322: set_a > set_set_set_a > set_a > ( set_a > set_set_set_a ) > set_a ).
thf(tp_sK128_SY2328,type,
sK128_SY2328: set_a > set_a > set_a > ( set_a > set_a ) > set_a ).
thf(tp_sK129_SY1914,type,
sK129_SY1914: ( $o > set_a ) > ( $o > set_a ) > set_Pr204296108_a_a_e > ( ( $o > set_a ) > set_Pr204296108_a_a_e ) > $o > set_a ).
thf(tp_sK12_SY2010,type,
sK12_SY2010: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > set_a ).
thf(tp_sK130_SY1921,type,
sK130_SY1921: set_a > set_a > set_a > ( set_a > set_a ) > set_a ).
thf(tp_sK131_SY2365,type,
sK131_SY2365: set_set_a > set_set_a > set_set_a > ( set_set_a > set_set_a ) > set_set_a ).
thf(tp_sK132_SY1995,type,
sK132_SY1995: set_Pr204296108_a_a_e > set_a > set_a ).
thf(tp_sK133_SY2007,type,
sK133_SY2007: set_a > produc715398134_a_a_e > a > e ).
thf(tp_sK134_SY2032,type,
sK134_SY2032: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(tp_sK135_SY2386,type,
sK135_SY2386: set_a > set_set_a > set_a > ( set_a > set_set_a ) > set_a ).
thf(tp_sK136_SY2069,type,
sK136_SY2069: ( $o > set_a ) > ( $o > set_a ) > set_set_a > ( ( $o > set_a ) > set_set_a ) > $o > set_a ).
thf(tp_sK137_SY2406,type,
sK137_SY2406: set_set_set_a > set_a > set_set_set_a > ( set_set_set_a > set_a ) > set_set_set_a ).
thf(tp_sK138_SY2423,type,
sK138_SY2423: set_a > set_a > set_a > ( set_a > set_a ) > set_a ).
thf(tp_sK139_SY2427,type,
sK139_SY2427: set_set_a > set_a > set_set_a > ( set_set_a > set_a ) > set_set_a ).
thf(tp_sK13_SY2061,type,
sK13_SY2061: set_a > set_a > a ).
thf(tp_sK140_SY2170,type,
sK140_SY2170: ( $o > set_a ) > ( $o > set_a ) > set_set_set_a > ( ( $o > set_a ) > set_set_set_a ) > $o > set_a ).
thf(tp_sK141_SY2174,type,
sK141_SY2174: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(tp_sK142_SY2182,type,
sK142_SY2182: set_a > set_a > set_a > ( set_a > set_a ) > set_a ).
thf(tp_sK143_SY2448,type,
sK143_SY2448: ( $o > set_a ) > set_a > ( $o > set_a ) > ( ( $o > set_a ) > set_a ) > $o > set_a ).
thf(tp_sK144_SY2575,type,
sK144_SY2575: ( produc715398134_a_a_e > set_a ) > set_a > produc715398134_a_a_e ).
thf(tp_sK145_SY2465,type,
sK145_SY2465: set_set_a > set_set_set_a > set_set_a > ( set_set_a > set_set_set_a ) > set_set_a ).
thf(tp_sK146_SY2303,type,
sK146_SY2303: set_Pr204296108_a_a_e > set_a > a > e ).
thf(tp_sK147_SY2318,type,
sK147_SY2318: set_a > ( $o > set_a ) > set_a > ( set_a > $o > set_a ) > set_a ).
thf(tp_sK148_SY2577,type,
sK148_SY2577: ( set_a > set_set_set_a ) > set_a > set_set_set_a > set_a > set_a ).
thf(tp_sK149_SY2578,type,
sK149_SY2578: ( set_a > set_a ) > set_a > set_a > set_a > set_a ).
thf(tp_sK14_SY1497,type,
sK14_SY1497: produc715398134_a_a_e > ( produc715398134_a_a_e > $o ) > set_a ).
thf(tp_sK150_SY2331,type,
sK150_SY2331: set_set_a > ( $o > set_a ) > set_set_a > ( set_set_a > $o > set_a ) > set_set_a ).
thf(tp_sK151_SY2579,type,
sK151_SY2579: ( ( $o > set_a ) > set_Pr204296108_a_a_e ) > set_Pr204296108_a_a_e > ( $o > set_a ) > ( $o > set_a ) > $o > set_a ).
thf(tp_sK152_SY2580,type,
sK152_SY2580: ( set_a > set_a ) > set_a > set_a > set_a > set_a ).
thf(tp_sK153_SY2354,type,
sK153_SY2354: set_Pr204296108_a_a_e > set_a > ( a > e ) > set_a ).
thf(tp_sK154_SV1018,type,
sK154_SV1018: ( produc715398134_a_a_e > set_a ) > set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e > ( produc715398134_a_a_e > a > e ) > ( a > e ) > a ).
thf(tp_sK155_SY2359,type,
sK155_SY2359: ( set_a > set_set_a ) > set_set_set_a > set_set_a > set_set_a ).
thf(tp_sK156_SY2581,type,
sK156_SY2581: ( set_set_a > set_set_a ) > set_set_a > set_set_a > set_set_a > set_set_a ).
thf(tp_sK157_SY2367,type,
sK157_SY2367: ( set_a > set_a ) > set_set_a > set_set_a > set_set_a ).
thf(tp_sK158_SY2555,type,
sK158_SY2555: set_Pr204296108_a_a_e > ( set_a > ( a > e ) > $o ) > ( set_a > ( a > e ) > $o ) > set_a_e > set_set_a > set_a ).
thf(tp_sK159_SY2584,type,
sK159_SY2584: ( set_a > set_set_a ) > set_a > set_set_a > set_a > set_a ).
thf(tp_sK15_SY1516,type,
sK15_SY1516: produc715398134_a_a_e > ( produc715398134_a_a_e > $o ) > set_a ).
thf(tp_sK160_SY2393,type,
sK160_SY2393: ( produc715398134_a_a_e > set_a ) > set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK161_SY2585,type,
sK161_SY2585: ( ( $o > set_a ) > set_set_a ) > set_set_a > ( $o > set_a ) > ( $o > set_a ) > $o > set_a ).
thf(tp_sK162_SY2400,type,
sK162_SY2400: ( a > set_a ) > set_set_a > set_a > set_a ).
thf(tp_sK163_SY2586,type,
sK163_SY2586: ( set_set_set_a > set_a ) > set_set_set_a > set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK164_SY2114,type,
sK164_SY2114: ( a > e ) > produc715398134_a_a_e > set_a ).
thf(tp_sK165_SY2412,type,
sK165_SY2412: ( set_set_a > a ) > set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK166_SY2132,type,
sK166_SY2132: ( $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > ( ( $o > set_a ) > $o > set_a ) > $o > set_a ).
thf(tp_sK167_SY2587,type,
sK167_SY2587: ( set_a > set_a ) > set_a > set_a > set_a > set_a ).
thf(tp_sK168_SY2425,type,
sK168_SY2425: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(tp_sK169_SY2588,type,
sK169_SY2588: ( set_set_a > set_a ) > set_set_a > set_a > set_set_a > set_set_a ).
thf(tp_sK16_SY2143,type,
sK16_SY2143: set_a_e > set_a_e > a > e ).
thf(tp_sK170_SY2589,type,
sK170_SY2589: ( ( $o > set_a ) > set_set_set_a ) > set_set_set_a > ( $o > set_a ) > ( $o > set_a ) > $o > set_a ).
thf(tp_sK171_SY2433,type,
sK171_SY2433: ( set_a > a ) > set_a > set_set_a > set_set_a ).
thf(tp_sK172_SY2590,type,
sK172_SY2590: ( set_a > set_a ) > set_a > set_a > set_a > set_a ).
thf(tp_sK173_SV1023,type,
sK173_SV1023: ( set_a > set_a ) > set_a > set_set_a > set_a > ( set_a > a > e ) > ( a > e ) > a ).
thf(tp_sK174_SY2591,type,
sK174_SY2591: ( ( $o > set_a ) > set_a ) > ( $o > set_a ) > set_a > ( $o > set_a ) > $o > set_a ).
thf(tp_sK175_SY2457,type,
sK175_SY2457: set_Pr305929312_set_a > ( a > e ) > set_a > a > e ).
thf(tp_sK176_SY2459,type,
sK176_SY2459: ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK177_SY2461,type,
sK177_SY2461: ( a > a ) > set_a > set_a > set_a ).
thf(tp_sK178_SY2592,type,
sK178_SY2592: ( set_set_a > set_set_set_a ) > set_set_a > set_set_set_a > set_set_a > set_set_a ).
thf(tp_sK179_SY2475,type,
sK179_SY2475: ( a > set_set_a ) > set_set_set_a > set_a > set_a ).
thf(tp_sK17_SY2146,type,
sK17_SY2146: set_Pr305929312_set_a > set_Pr305929312_set_a > produc1965228714_set_a ).
thf(tp_sK180_SY2477,type,
sK180_SY2477: set_a > ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(tp_sK181_SY2484,type,
sK181_SY2484: ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK182_SY2318,type,
sK182_SY2318: set_a > ( $o > set_a ) > set_a > ( set_a > $o > set_a ) > set_a ).
thf(tp_sK183_SY2593,type,
sK183_SY2593: ( set_a > $o > set_a ) > set_a > ( $o > set_a ) > set_a > set_a ).
thf(tp_sK184_SY2331,type,
sK184_SY2331: set_set_a > ( $o > set_a ) > set_set_a > ( set_set_a > $o > set_a ) > set_set_a ).
thf(tp_sK185_SY2594,type,
sK185_SY2594: ( set_set_a > $o > set_a ) > set_set_a > ( $o > set_a ) > set_set_a > set_set_a ).
thf(tp_sK186_SY2114,type,
sK186_SY2114: ( a > e ) > produc715398134_a_a_e > set_a ).
thf(tp_sK187_SY2132,type,
sK187_SY2132: ( $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > ( ( $o > set_a ) > $o > set_a ) > $o > set_a ).
thf(tp_sK188_SY2597,type,
sK188_SY2597: ( ( $o > set_a ) > $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > $o > set_a ).
thf(tp_sK189_SY2477,type,
sK189_SY2477: set_a > ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(tp_sK18_SY2150,type,
sK18_SY2150: set_set_set_a > set_set_set_a > set_set_a ).
thf(tp_sK190_SY2600,type,
sK190_SY2600: ( set_a > $o > set_a ) > set_a > ( $o > set_a ) > set_a > set_a ).
thf(tp_sK191_SY2601,type,
sK191_SY2601: ( set_set_a > $o > set_a ) > set_set_a > ( $o > set_a ) > set_set_a > set_set_a ).
thf(tp_sK192_SV1046,type,
sK192_SV1046: produc715398134_a_a_e > produc715398134_a_a_e > a ).
thf(tp_sK193_SY2582,type,
sK193_SY2582: set_Pr204296108_a_a_e > set_a > a > e ).
thf(tp_sK194_SY2007,type,
sK194_SY2007: ( a > e ) > set_a > produc715398134_a_a_e > a > e ).
thf(tp_sK195_SY2583,type,
sK195_SY2583: set_Pr204296108_a_a_e > ( a > e ) > a > e ).
thf(tp_sK196_SY2596,type,
sK196_SY2596: set_set_a > ( set_a > ( a > e ) > $o ) > set_Pr204296108_a_a_e > ( set_a > ( a > e ) > $o ) > set_a_e > a > e ).
thf(tp_sK197_SY2114,type,
sK197_SY2114: set_a > ( a > e ) > produc715398134_a_a_e > set_a ).
thf(tp_sK198_SY2602,type,
sK198_SY2602: ( ( $o > set_a ) > $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > $o > set_a ).
thf(tp_sK199_SV1057,type,
sK199_SV1057: set_a > set_a > ( a > e ) > ( a > e ) > a ).
thf(tp_sK19_SY2267,type,
sK19_SY2267: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK1_SX0,type,
sK1_SX0: set_a ).
thf(tp_sK200_SY2174,type,
sK200_SY2174: set_a > set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(tp_sK201_SV1058,type,
sK201_SV1058: set_a > set_a > ( a > e ) > ( a > e ) > a ).
thf(tp_sK202_SY2472,type,
sK202_SY2472: set_a > ( produc715398134_a_a_e > set_a ) > ( set_a > $o ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK203_SY2303,type,
sK203_SY2303: ( a > e ) > set_Pr204296108_a_a_e > set_a > a > e ).
thf(tp_sK204_SY2595,type,
sK204_SY2595: set_Pr204296108_a_a_e > set_a > ( a > e ) > a > e ).
thf(tp_sK205_SY2603,type,
sK205_SY2603: produc715398134_a_a_e > ( produc715398134_a_a_e > set_a ) > set_a > produc715398134_a_a_e ).
thf(tp_sK206_SY2598,type,
sK206_SY2598: set_Pr305929312_set_a > ( a > e ) > set_a > set_a ).
thf(tp_sK207_SV1108,type,
sK207_SV1108: set_Pr204296108_a_a_e > set_a > ( a > e ) > ( a > e ) > a ).
thf(tp_sK208_SY2359,type,
sK208_SY2359: set_set_a > ( set_a > set_set_a ) > set_set_set_a > set_set_a > set_set_a ).
thf(tp_sK209_SY2367,type,
sK209_SY2367: set_set_a > ( set_a > set_a ) > set_set_a > set_set_a > set_set_a ).
thf(tp_sK20_SY2277,type,
sK20_SY2277: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK210_SY2393,type,
sK210_SY2393: produc715398134_a_a_e > ( produc715398134_a_a_e > set_a ) > set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK211_SY2400,type,
sK211_SY2400: set_a > ( a > set_a ) > set_set_a > set_a > set_a ).
thf(tp_sK212_SY2412,type,
sK212_SY2412: set_set_set_a > ( set_set_a > a ) > set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK213_SY2425,type,
sK213_SY2425: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(tp_sK214_SY2433,type,
sK214_SY2433: set_set_a > ( set_a > a ) > set_a > set_set_a > set_set_a ).
thf(tp_sK215_SY2459,type,
sK215_SY2459: set_set_set_a > ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK216_SY2461,type,
sK216_SY2461: set_a > ( a > a ) > set_a > set_a > set_a ).
thf(tp_sK217_SY2475,type,
sK217_SY2475: set_a > ( a > set_set_a ) > set_set_set_a > set_a > set_a ).
thf(tp_sK218_SY2484,type,
sK218_SY2484: set_set_set_a > ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK219_SV1119,type,
sK219_SV1119: set_Pr204296108_a_a_e > set_a > set_a > ( a > e ) > ( a > e ) > a ).
thf(tp_sK21_SY1878,type,
sK21_SY1878: set_Pr305929312_set_a > produc715398134_a_a_e > a > e ).
thf(tp_sK220_SY1995,type,
sK220_SY1995: ( a > e ) > set_a > set_Pr204296108_a_a_e > set_a > set_a ).
thf(tp_sK221_SY2032,type,
sK221_SY2032: set_a > ( a > e ) > set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(tp_sK222_SV1130,type,
sK222_SV1130: set_Pr305929312_set_a > set_a > set_a > ( a > e ) > ( a > e ) > a ).
thf(tp_sK223_SY2032,type,
sK223_SY2032: ( a > e ) > set_a > set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(tp_sK224_SY2605,type,
sK224_SY2605: set_Pr204296108_a_a_e > set_a > ( a > e ) > set_a > a > e ).
thf(tp_sK225_SY2606,type,
sK225_SY2606: set_Pr204296108_a_a_e > ( a > e ) > set_a > ( a > e ) > a > e ).
thf(tp_sK226_SY2607,type,
sK226_SY2607: set_Pr204296108_a_a_e > set_a > ( a > e ) > ( a > e ) > a > e ).
thf(tp_sK227_SY2354,type,
sK227_SY2354: ( a > e ) > set_a > set_Pr204296108_a_a_e > set_a > ( a > e ) > set_a ).
thf(tp_sK228_SY2457,type,
sK228_SY2457: set_a > ( a > e ) > set_Pr305929312_set_a > ( a > e ) > set_a > a > e ).
thf(tp_sK229_SY2354,type,
sK229_SY2354: ( a > e ) > set_a > set_Pr204296108_a_a_e > set_a > ( a > e ) > set_a ).
thf(tp_sK22_SY2320,type,
sK22_SY2320: set_a > ( produc715398134_a_a_e > a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK230_SY2457,type,
sK230_SY2457: ( a > e ) > set_a > set_Pr305929312_set_a > ( a > e ) > set_a > a > e ).
thf(tp_sK231_SY2608,type,
sK231_SY2608: set_Pr204296108_a_a_e > set_a > ( a > e ) > set_a > ( a > e ) > a > e ).
thf(tp_sK232_SY2609,type,
sK232_SY2609: set_Pr305929312_set_a > ( a > e ) > set_a > ( a > e ) > set_a > set_a ).
thf(tp_sK233_SY2610,type,
sK233_SY2610: set_Pr204296108_a_a_e > set_a > ( a > e ) > set_a > ( a > e ) > a > e ).
thf(tp_sK234_SY2611,type,
sK234_SY2611: set_Pr305929312_set_a > set_a > ( a > e ) > ( a > e ) > set_a > set_a ).
thf(tp_sK23_SY2324,type,
sK23_SY2324: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK24_SY2363,type,
sK24_SY2363: set_a > ( a > a ) > set_a > a ).
thf(tp_sK25_SV950,type,
sK25_SV950: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK26_SY2554,type,
sK26_SY2554: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > a > e ).
thf(tp_sK27_SY2376,type,
sK27_SY2376: set_set_a > ( set_a > set_a ) > set_set_a > set_a ).
thf(tp_sK28_SY2389,type,
sK28_SY2389: set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK29_SY2057,type,
sK29_SY2057: ( produc715398134_a_a_e > set_a ) > set_a > produc715398134_a_a_e ).
thf(tp_sK2_SX0,type,
sK2_SX0: produc715398134_a_a_e ).
thf(tp_sK30_SY2081,type,
sK30_SY2081: set_Pr204296108_a_a_e > set_a > a > e ).
thf(tp_sK31_SY2557,type,
sK31_SY2557: produc715398134_a_a_e > ( produc715398134_a_a_e > $o ) > a > e ).
thf(tp_sK32_SY2403,type,
sK32_SY2403: ( set_a > $o ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_a ).
thf(tp_sK33_SY2558,type,
sK33_SY2558: produc715398134_a_a_e > ( produc715398134_a_a_e > $o ) > a > e ).
thf(tp_sK34_SY2419,type,
sK34_SY2419: produc715398134_a_a_e > a > e ).
thf(tp_sK35_SY2175,type,
sK35_SY2175: ( produc715398134_a_a_e > set_a ) > set_a > produc715398134_a_a_e ).
thf(tp_sK36_SY1678,type,
sK36_SY1678: produc715398134_a_a_e > ( ( a > e ) > set_a > $o ) > set_a ).
thf(tp_sK37_SY2204,type,
sK37_SY2204: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(tp_sK38_SY2451,type,
sK38_SY2451: produc1965228714_set_a > set_a ).
thf(tp_sK39_SY1703,type,
sK39_SY1703: ( produc715398134_a_a_e > set_a ) > set_a ).
thf(tp_sK3_SX0,type,
sK3_SX0: set_a ).
thf(tp_sK40_SY2455,type,
sK40_SY2455: set_Pr204296108_a_a_e > ( set_a > produc715398134_a_a_e ) > set_set_a > set_a ).
thf(tp_sK41_SY2227,type,
sK41_SY2227: set_Pr204296108_a_a_e > set_a > a > e ).
thf(tp_sK42_SY2235,type,
sK42_SY2235: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(tp_sK43_SY2463,type,
sK43_SY2463: set_a_e > ( a > a > e ) > set_a > a ).
thf(tp_sK44_SY2468,type,
sK44_SY2468: set_set_a > ( a > set_a ) > set_a > a ).
thf(tp_sK45_SY2260,type,
sK45_SY2260: set_Pr204296108_a_a_e > produc1965228714_set_a > set_a ).
thf(tp_sK46_SY2480,type,
sK46_SY2480: set_a > ( set_a > a ) > set_set_a > set_a ).
thf(tp_sK47_SY2482,type,
sK47_SY2482: set_a > ( ( a > e ) > a ) > set_a_e > a > e ).
thf(tp_sK48_SY2308,type,
sK48_SY2308: ( a > set_a ) > set_set_a > set_a > set_a ).
thf(tp_sK49_SY2309,type,
sK49_SY2309: ( set_set_a > set_a ) > set_set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK4_SY1585,type,
sK4_SY1585: produc715398134_a_a_e > set_a ).
thf(tp_sK50_SY2316,type,
sK50_SY2316: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(tp_sK51_SY2561,type,
sK51_SY2561: set_Pr305929312_set_a > produc715398134_a_a_e > set_a ).
thf(tp_sK52_SY2337,type,
sK52_SY2337: set_a > set_set_a > ( set_a > set_a ) > set_set_a > set_a ).
thf(tp_sK53_SY2341,type,
sK53_SY2341: ( a > a ) > set_a > set_a > set_a ).
thf(tp_sK54_SY2344,type,
sK54_SY2344: set_a > set_Pr204296108_a_a_e > ( set_a > produc715398134_a_a_e ) > set_set_a > set_a ).
thf(tp_sK55_SY2371,type,
sK55_SY2371: ( set_a > set_a ) > set_set_a > set_set_a > set_set_a ).
thf(tp_sK56_SV960,type,
sK56_SV960: ( a > e ) > ( a > e ) > set_a > a ).
thf(tp_sK57_SY2002,type,
sK57_SY2002: set_a > set_a > a ).
thf(tp_sK58_SY2373,type,
sK58_SY2373: ( set_set_a > a ) > set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK59_SY2380,type,
sK59_SY2380: ( a > set_set_a ) > set_set_set_a > set_a > set_a ).
thf(tp_sK5_SY1699,type,
sK5_SY1699: produc1965228714_set_a > a > e ).
thf(tp_sK60_SY2055,type,
sK60_SY2055: set_set_a > set_set_a > set_a ).
thf(tp_sK61_SY2056,type,
sK61_SY2056: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK62_SY2392,type,
sK62_SY2392: produc715398134_a_a_e > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK63_SY2075,type,
sK63_SY2075: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK64_SY2409,type,
sK64_SY2409: ( set_a > a ) > set_a > set_set_a > set_set_a ).
thf(tp_sK65_SY2119,type,
sK65_SY2119: set_a > ( set_a > $o ) > set_a ).
thf(tp_sK66_SY2127,type,
sK66_SY2127: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK67_SY2416,type,
sK67_SY2416: ( produc715398134_a_a_e > set_a ) > set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK68_SY2185,type,
sK68_SY2185: set_set_a > set_set_a > set_a ).
thf(tp_sK69_SY2439,type,
sK69_SY2439: ( set_a > ( a > e ) > set_set_a ) > set_a > produc715398134_a_a_e > set_a ).
thf(tp_sK6_SY1754,type,
sK6_SY1754: produc715398134_a_a_e > set_a ).
thf(tp_sK70_SY2441,type,
sK70_SY2441: ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a > set_set_set_a ).
thf(tp_sK71_SY2562,type,
sK71_SY2562: produc715398134_a_a_e > ( ( a > e ) > set_a > $o ) > a > e ).
thf(tp_sK72_SY2445,type,
sK72_SY2445: ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > produc715398134_a_a_e > set_a ).
thf(tp_sK73_SY2209,type,
sK73_SY2209: set_a > set_a > a ).
thf(tp_sK74_SY2564,type,
sK74_SY2564: set_Pr204296108_a_a_e > produc1965228714_set_a > a > e ).
thf(tp_sK75_SY2474,type,
sK75_SY2474: produc715398134_a_a_e > set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK76_SY2481,type,
sK76_SY2481: ( set_a > set_set_a ) > set_set_set_a > set_set_a > set_set_a ).
thf(tp_sK77_SV962,type,
sK77_SV962: ( $o > set_a ) > ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK78_SY2313,type,
sK78_SY2313: set_a > ( set_a > $o ) > set_Pr204296108_a_a_e > set_a ).
thf(tp_sK79_SY2325,type,
sK79_SY2325: ( set_a > $o ) > set_a > ( a > a ) > set_a ).
thf(tp_sK7_SY1157,type,
sK7_SY1157: set_set_a > set_a ).
thf(tp_sK80_SY2326,type,
sK80_SY2326: ( a > a ) > ( set_a > $o ) > set_a > set_a ).
thf(tp_sK81_SY2346,type,
sK81_SY2346: set_set_set_a > ( set_Pr204296108_a_a_e > set_set_a ) > set_se821189730_a_a_e > set_Pr204296108_a_a_e ).
thf(tp_sK82_SY2347,type,
sK82_SY2347: set_a > ( a > a ) > set_a > a ).
thf(tp_sK83_SY2351,type,
sK83_SY2351: set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK84_SY2352,type,
sK84_SY2352: ( a > e ) > ( ( a > e ) > $o ) > set_Pr204296108_a_a_e > set_a ).
thf(tp_sK85_SY2368,type,
sK85_SY2368: set_a > ( set_a > a ) > set_set_a > set_a ).
thf(tp_sK86_SV965,type,
sK86_SV965: set_set_a > set_a > ( set_a > a > e ) > ( a > e ) > a ).
thf(tp_sK87_SY2515,type,
sK87_SY2515: set_Pr204296108_a_a_e > ( ( a > e ) > a > e ) > ( set_a > set_a ) > produc715398134_a_a_e > set_a ).
thf(tp_sK88_SY2401,type,
sK88_SY2401: ( set_set_a > $o ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a ).
thf(tp_sK89_SY2402,type,
sK89_SY2402: ( produc715398134_a_a_e > set_a ) > ( set_set_a > $o ) > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(tp_sK8_SY1634,type,
sK8_SY1634: set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(tp_sK90_SV967,type,
sK90_SV967: produc715398134_a_a_e > ( a > e ) > a ).
thf(tp_sK91_SV968,type,
sK91_SV968: ( $o > set_a ) > ( $o > set_a ) > ( ( $o > set_a ) > $o > set_a ) > ( $o > set_a ) > $o ).
thf(tp_sK92_SV969,type,
sK92_SV969: set_a > a > ( a > a > e ) > ( a > e ) > a ).
thf(tp_sK93_SY2565,type,
sK93_SY2565: set_a > ( set_a > ( a > e ) > set_set_a ) > produc715398134_a_a_e > a > e ).
thf(tp_sK94_SY2566,type,
sK94_SY2566: produc715398134_a_a_e > ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > a > e ).
thf(tp_sK95_SV973,type,
sK95_SV973: produc715398134_a_a_e > produc715398134_a_a_e > a ).
thf(tp_sK96_SY2285,type,
sK96_SY2285: ( set_a > $o ) > set_a > ( set_a > $o ) > set_a ).
thf(tp_sK97_SY2483,type,
sK97_SY2483: set_set_a > ( set_a > set_a ) > set_set_a > set_a ).
thf(tp_sK98_SY2485,type,
sK98_SY2485: set_Pr204296108_a_a_e > ( set_a > produc715398134_a_a_e ) > set_set_a > set_a ).
thf(tp_sK99_SY2489,type,
sK99_SY2489: ( a > e ) > set_a > ( set_a > ( a > e ) > $o ) > set_Pr305929312_set_a > a > e ).
thf(tp_sK9_SY2462,type,
sK9_SY2462: produc715398134_a_a_e > a > e ).
thf(tp_thesis,type,
thesis: $o ).
thf(tp_top_to144004695_set_a,type,
top_to144004695_set_a: set_Pr2045688071_set_a ).
thf(tp_top_to1601855068_a_a_e,type,
top_to1601855068_a_a_e: set_Pr204296108_a_a_e ).
thf(tp_top_to2000253225_a_e_o,type,
top_to2000253225_a_e_o: produc715398134_a_a_e > $o ).
thf(tp_top_to970499581_a_a_e,type,
top_to970499581_a_a_e: set_Pr1710391469_a_a_e ).
thf(tp_top_top_set_a,type,
top_top_set_a: set_a ).
thf(tp_top_top_set_a_o,type,
top_top_set_a_o: set_a > $o ).
thf(tp_top_top_set_set_a,type,
top_top_set_set_a: set_set_a ).
thf(1,axiom,
! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e,C2: a > e,G: produc715398134_a_a_e > a > e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( C2
= ( G @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ C2 ) @ ( bNF_Gr2072183031_a_a_e @ A @ F @ G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_image2__eqI) ).
thf(2,axiom,
! [B2: set_a,F: set_a > set_a,X3: set_a,C2: a > e,G: set_a > a > e,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( C2
= ( G @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ C2 ) @ ( bNF_Gr1872575811_a_a_e @ A @ F @ G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_image2__eqI) ).
thf(3,axiom,
! [Ac2: produc715398134_a_a_e,P2: set_a > set_a > $o,Q: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ Ac2 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ P2 @ Q ) ) ) )
=> ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ P2 @ Q @ Ac2 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_sndOp__in) ).
thf(4,axiom,
! [Ac2: produc715398134_a_a_e,P2: set_a > ( a > e ) > $o,Q: ( a > e ) > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ Ac2 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ P2 @ Q ) ) ) )
=> ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ P2 @ Q @ Ac2 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ P2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_fstOp__in) ).
thf(5,axiom,
( fun_in_rel_set_a_a_e
= ( ^ [R3: set_Pr204296108_a_a_e,X4: set_a,Y4: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X4 @ Y4 ) @ R3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_in__rel__def) ).
thf(6,axiom,
! [Z2: produc715398134_a_a_e,C2: set_a > ( a > e ) > set_Pr204296108_a_a_e,P: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ Z2 @ ( produc1096319049_a_a_e @ C2 @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( P
= ( produc1134456688_a_a_e @ X2 @ Y ) )
=> ~ ( member1258382221_a_a_e @ Z2 @ ( C2 @ X2 @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_mem__case__prodE) ).
thf(7,axiom,
! [Z2: set_a,C2: set_a > ( a > e ) > set_set_a,P: produc715398134_a_a_e] :
( ( member_set_a @ Z2 @ ( produc1620938593_set_a @ C2 @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( P
= ( produc1134456688_a_a_e @ X2 @ Y ) )
=> ~ ( member_set_a @ Z2 @ ( C2 @ X2 @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_mem__case__prodE) ).
thf(8,axiom,
( bNF_fs1024561536_e_a_e
= ( ^ [P4: set_a > ( a > e ) > $o,Q3: ( a > e ) > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Ac ) @ ( bNF_pi1175744974_e_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_fstOp__def) ).
thf(9,axiom,
! [X3: produc715398134_a_a_e,A: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ X3 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ A ) ) )
=> ( A @ ( produc1040928388_a_a_e @ X3 ) @ ( produc317566658_a_a_e @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_Product__Type_OCollect__case__prodD) ).
thf(10,axiom,
( bNF_sn375433437_a_a_e
= ( ^ [P4: set_a > set_a > $o,Q3: set_a > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) @ ( produc317566658_a_a_e @ Ac ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_sndOp__def) ).
thf(11,axiom,
! [X6: set_set_a,A: set_Pr204296108_a_a_e,Y7: set_a_e,P2: set_a > ( a > e ) > $o,Q: set_a > ( a > e ) > $o] :
( ( X6
= ( image_64240033_set_a @ produc1040928388_a_a_e @ A ) )
=> ( ( Y7
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ A ) )
=> ( ! [X2: set_a] :
( ( member_set_a @ X2 @ X6 )
=> ! [Xa2: a > e] :
( ( member_a_e @ Xa2 @ Y7 )
=> ( ( P2 @ X2 @ Xa2 )
=> ( Q @ X2 @ Xa2 ) ) ) )
=> ( ( ord_le700723212_a_a_e @ A @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ P2 ) ) )
=> ( ord_le700723212_a_a_e @ A @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ Q ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_Collect__split__mono__strong) ).
thf(12,axiom,
! [P2: ( a > e ) > set_a > $o,P: produc715398134_a_a_e] :
( ( P2 @ ( produc317566658_a_a_e @ P ) @ ( produc1040928388_a_a_e @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
~ ( P2 @ Y @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_exE__realizer_H) ).
thf(13,axiom,
( top_to2000253225_a_e_o
= ( ^ [X4: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X4 @ top_to1601855068_a_a_e ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_339_top__empty__eq) ).
thf(14,axiom,
( top_top_set_a_o
= ( ^ [X4: set_a] : ( member_set_a @ X4 @ top_top_set_set_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_top__empty__eq) ).
thf(15,axiom,
! [P2: set_a > ( a > e ) > $o,X3: set_a,Y3: a > e,A2: produc715398134_a_a_e] :
( ( P2 @ X3 @ Y3 )
=> ( ( A2
= ( produc1134456688_a_a_e @ X3 @ Y3 ) )
=> ( P2 @ ( produc1040928388_a_a_e @ A2 ) @ ( produc317566658_a_a_e @ A2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_BNF__Greatest__Fixpoint_Osubst__Pair) ).
thf(16,axiom,
! [P2: set_a > $o,P: set_a,Q: ( a > e ) > $o,Q2: a > e] :
( ( P2 @ P )
=> ( ( Q @ Q2 )
=> ( ( P2 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ P @ Q2 ) ) )
& ( Q @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ P @ Q2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_conjI__realizer) ).
thf(17,axiom,
! [P2: ( a > e ) > set_a > $o,Y3: a > e,X3: set_a] :
( ( P2 @ Y3 @ X3 )
=> ( P2 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_exI__realizer) ).
thf(18,axiom,
! [C2: produc715398134_a_a_e,F: set_a > set_a,G: ( a > e ) > a > e,R2: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ C2 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ F @ G ) @ R2 ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( C2
= ( produc1134456688_a_a_e @ ( F @ X2 ) @ ( G @ Y ) ) )
=> ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_prod__fun__imageE) ).
thf(19,axiom,
! [Prod: produc715398134_a_a_e] :
( Prod
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Prod ) @ ( produc317566658_a_a_e @ Prod ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_prod_Oexhaust__sel) ).
thf(20,axiom,
! [T2: produc715398134_a_a_e] :
( T2
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ T2 ) @ ( produc317566658_a_a_e @ T2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_surjective__pairing) ).
thf(21,axiom,
? [X2: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X2 @ top_to1601855068_a_a_e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_UNIV__witness) ).
thf(22,axiom,
? [X2: set_a] : ( member_set_a @ X2 @ top_top_set_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_UNIV__witness) ).
thf(23,axiom,
! [A: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X2 @ A )
=> ( top_to1601855068_a_a_e = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_UNIV__eq__I) ).
thf(24,axiom,
! [A: set_set_a] :
( ! [X2: set_a] : ( member_set_a @ X2 @ A )
=> ( top_top_set_set_a = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_UNIV__eq__I) ).
thf(25,axiom,
! [P: produc715398134_a_a_e,Q2: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ P )
= ( produc1040928388_a_a_e @ Q2 ) )
=> ( ( ( produc317566658_a_a_e @ P )
= ( produc317566658_a_a_e @ Q2 ) )
=> ( P = Q2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_prod__eqI) ).
thf(26,axiom,
! [Prod: produc715398134_a_a_e,Prod2: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ Prod )
= ( produc1040928388_a_a_e @ Prod2 ) )
& ( ( produc317566658_a_a_e @ Prod )
= ( produc317566658_a_a_e @ Prod2 ) ) )
=> ( Prod = Prod2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_prod_Oexpand) ).
thf(27,axiom,
( ( ^ [Y2: produc715398134_a_a_e,Z: produc715398134_a_a_e] : ( Y2 = Z ) )
= ( ^ [S3: produc715398134_a_a_e,T: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ S3 )
= ( produc1040928388_a_a_e @ T ) )
& ( ( produc317566658_a_a_e @ S3 )
= ( produc317566658_a_a_e @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_prod__eq__iff) ).
thf(28,axiom,
! [B2: a > e,P: produc715398134_a_a_e] :
( ( B2
= ( produc317566658_a_a_e @ P ) )
= ( ? [A3: set_a] :
( P
= ( produc1134456688_a_a_e @ A3 @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_eq__snd__iff) ).
thf(29,axiom,
! [X1: set_a,X22: a > e] :
( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) )
= X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_snd__conv) ).
thf(30,axiom,
! [X3: set_a,Y3: a > e,A2: a > e] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= A2 )
=> ( Y3 = A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_snd__eqD) ).
thf(31,axiom,
! [X3: produc715398134_a_a_e,Y3: set_a,Z2: a > e] :
( ( X3
= ( produc1134456688_a_a_e @ Y3 @ Z2 ) )
=> ( ( produc317566658_a_a_e @ X3 )
= Z2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_sndI) ).
thf(32,axiom,
! [A: set_a] : ( ord_less_eq_set_a @ A @ top_top_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_subset__UNIV) ).
thf(33,axiom,
! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ top_top_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_top__greatest) ).
thf(34,axiom,
! [A2: set_a] :
( ( ord_less_eq_set_a @ top_top_set_a @ A2 )
= ( A2 = top_top_set_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_top_Oextremum__unique) ).
thf(35,axiom,
! [A2: set_a] :
( ( ord_less_eq_set_a @ top_top_set_a @ A2 )
=> ( A2 = top_top_set_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_top_Oextremum__uniqueI) ).
thf(36,axiom,
! [F: produc715398134_a_a_e > set_a,G: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ( ( ( image_64240033_set_a @ G @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ( ( image_2101504031_set_a @ ( produc387505142_set_a @ F @ G ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_map__prod__surj) ).
thf(37,axiom,
! [F: produc715398134_a_a_e > set_a,Y3: set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ? [X2: produc715398134_a_a_e] :
( Y3
= ( F @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_surjD) ).
thf(38,axiom,
! [F: produc715398134_a_a_e > set_a,Y3: set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ~ ! [X2: produc715398134_a_a_e] :
( Y3
!= ( F @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_surjE) ).
thf(39,axiom,
! [G: produc715398134_a_a_e > set_a,F: set_a > produc715398134_a_a_e] :
( ! [X2: set_a] :
( ( G @ ( F @ X2 ) )
= X2 )
=> ( ( image_64240033_set_a @ G @ top_to1601855068_a_a_e )
= top_top_set_set_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_surjI) ).
thf(40,axiom,
! [F: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= ( ! [Y4: set_a] :
? [X4: produc715398134_a_a_e] :
( Y4
= ( F @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_surj__def) ).
thf(41,axiom,
! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ top_to1601855068_a_a_e ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_range__eqI) ).
thf(42,axiom,
! [F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e] : ( member_set_a @ ( F @ X3 ) @ ( image_64240033_set_a @ F @ top_to1601855068_a_a_e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_rangeI) ).
thf(43,axiom,
( ( image_64240033_set_a @ produc1040928388_a_a_e @ top_to1601855068_a_a_e )
= top_top_set_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_range__fst) ).
thf(44,axiom,
! [X3: produc715398134_a_a_e] :
( ( produc1809800494_set_a @ ( produc755714512_a_a_e @ X3 ) )
= ( produc1040928388_a_a_e @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_snd__swap) ).
thf(45,axiom,
! [X3: produc1965228714_set_a] :
( ( produc1040928388_a_a_e @ ( produc100464700_set_a @ X3 ) )
= ( produc1809800494_set_a @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_fst__swap) ).
thf(46,axiom,
! [Prod: produc715398134_a_a_e] :
( ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Prod ) @ ( produc317566658_a_a_e @ Prod ) )
= Prod ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_prod_Ocollapse) ).
thf(47,axiom,
! [F: set_a > set_a,G: ( a > e ) > a > e,X3: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ ( produc1443219402_e_a_e @ F @ G @ X3 ) )
= ( F @ ( produc1040928388_a_a_e @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_fst__map__prod) ).
thf(48,axiom,
! [F: set_a > set_a,G: ( a > e ) > a > e,A2: set_a,B2: a > e] :
( ( produc1443219402_e_a_e @ F @ G @ ( produc1134456688_a_a_e @ A2 @ B2 ) )
= ( produc1134456688_a_a_e @ ( F @ A2 ) @ ( G @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_map__prod__simp) ).
thf(49,axiom,
! [X3: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X3 @ top_to1601855068_a_a_e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_UNIV__I) ).
thf(50,axiom,
! [X3: set_a] : ( member_set_a @ X3 @ top_top_set_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_UNIV__I) ).
thf(51,axiom,
! [A2: set_a,B2: a > e,R2: set_Pr204296108_a_a_e,F: set_a > set_a,G: ( a > e ) > a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R2 )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( F @ A2 ) @ ( G @ B2 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ F @ G ) @ R2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_map__prod__imageI) ).
thf(52,axiom,
( produc755714512_a_a_e
= ( ^ [P3: produc715398134_a_a_e] : ( produc479206876_set_a @ ( produc317566658_a_a_e @ P3 ) @ ( produc1040928388_a_a_e @ P3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_prod_Oswap__def) ).
thf(53,axiom,
( produc100464700_set_a
= ( ^ [P3: produc1965228714_set_a] : ( produc1134456688_a_a_e @ ( produc1809800494_set_a @ P3 ) @ ( produc385678576_set_a @ P3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_prod_Oswap__def) ).
thf(54,axiom,
! [A2: set_a,B2: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ ( converse_a_e_set_a @ R ) )
=> ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_converseD) ).
thf(55,axiom,
! [A2: a > e,B2: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ ( converse_set_a_a_e @ R ) )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_converseD) ).
thf(56,axiom,
! [Yx: produc715398134_a_a_e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ Yx @ ( converse_a_e_set_a @ R ) )
=> ~ ! [X2: a > e,Y: set_a] :
( ( Yx
= ( produc1134456688_a_a_e @ Y @ X2 ) )
=> ~ ( member360729153_set_a @ ( produc479206876_set_a @ X2 @ Y ) @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_converseE) ).
thf(57,axiom,
! [Yx: produc1965228714_set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ Yx @ ( converse_set_a_a_e @ R ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( Yx
= ( produc479206876_set_a @ Y @ X2 ) )
=> ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_converseE) ).
thf(58,axiom,
! [A1: set_a,A22: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A1 @ A22 ) @ ( converse_a_e_set_a @ R ) )
=> ( member360729153_set_a @ ( produc479206876_set_a @ A22 @ A1 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_converse_Ocases) ).
thf(59,axiom,
! [A1: a > e,A22: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A1 @ A22 ) @ ( converse_set_a_a_e @ R ) )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A22 @ A1 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_converse_Ocases) ).
thf(60,axiom,
! [A1: set_a,A22: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A1 @ A22 ) @ ( converse_a_e_set_a @ R ) )
= ( ? [A3: a > e,B3: set_a] :
( ( A1 = B3 )
& ( A22 = A3 )
& ( member360729153_set_a @ ( produc479206876_set_a @ A3 @ B3 ) @ R ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_converse_Osimps) ).
thf(61,axiom,
! [A1: a > e,A22: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A1 @ A22 ) @ ( converse_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A1 = B3 )
& ( A22 = A3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_converse_Osimps) ).
thf(62,axiom,
! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ ( converse_set_a_a_e @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_converse_Ointros) ).
thf(63,axiom,
! [A2: a > e,B2: set_a,R: set_Pr305929312_set_a] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ R )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ ( converse_a_e_set_a @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_converse_Ointros) ).
thf(64,axiom,
! [X1: set_a,X22: a > e,R: set_Pr305929312_set_a,P2: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) @ ( converse_a_e_set_a @ R ) )
=> ( ! [A6: a > e,B6: set_a] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A6 @ B6 ) @ R )
=> ( P2 @ B6 @ A6 ) )
=> ( P2 @ X1 @ X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_converse_Oinducts) ).
thf(65,axiom,
! [X1: a > e,X22: set_a,R: set_Pr204296108_a_a_e,P2: ( a > e ) > set_a > $o] :
( ( member360729153_set_a @ ( produc479206876_set_a @ X1 @ X22 ) @ ( converse_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ B6 @ A6 ) )
=> ( P2 @ X1 @ X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_287_converse_Oinducts) ).
thf(66,axiom,
! [A2: set_a,B2: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ ( converse_a_e_set_a @ R ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_converse__iff) ).
thf(67,axiom,
! [A2: a > e,B2: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ ( converse_set_a_a_e @ R ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_converse__iff) ).
thf(68,axiom,
! [X3: set_a,Y3: a > e] :
( ( produc755714512_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= ( produc479206876_set_a @ Y3 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_swap__simp) ).
thf(69,axiom,
! [X3: a > e,Y3: set_a] :
( ( produc100464700_set_a @ ( produc479206876_set_a @ X3 @ Y3 ) )
= ( produc1134456688_a_a_e @ Y3 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_swap__simp) ).
thf(70,axiom,
! [Y3: set_a,X3: a > e,A: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ Y3 @ X3 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ A ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ X3 @ Y3 ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_pair__in__swap__image) ).
thf(71,axiom,
! [Y3: a > e,X3: set_a,A: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ Y3 @ X3 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ A ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_pair__in__swap__image) ).
thf(72,axiom,
! [X3: set_a,R: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ( member_set_a @ X3 @ ( domain_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ A6 ) )
=> ( P2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_Domain_Oinducts) ).
thf(73,axiom,
! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_Domain_ODomainI) ).
thf(74,axiom,
! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A2 = A3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_Domain_Osimps) ).
thf(75,axiom,
! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
=> ~ ! [B6: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B6 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_Domain_Ocases) ).
thf(76,axiom,
! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
= ( ? [Y4: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ Y4 ) @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_Domain__iff) ).
thf(77,axiom,
! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
=> ~ ! [B6: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B6 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_DomainE) ).
thf(78,axiom,
! [X3: a > e,R: set_Pr204296108_a_a_e,P2: ( a > e ) > $o] :
( ( member_a_e @ X3 @ ( range_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ B6 ) )
=> ( P2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_Range_Oinducts) ).
thf(79,axiom,
! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member_a_e @ B2 @ ( range_set_a_a_e @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_Range_Ointros) ).
thf(80,axiom,
! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A2 = B3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_Range_Osimps) ).
thf(81,axiom,
! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
=> ~ ! [A6: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ A2 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_Range_Ocases) ).
thf(82,axiom,
! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
= ( ? [Y4: set_a] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ Y4 @ A2 ) @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_Range__iff) ).
thf(83,axiom,
! [B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ B2 @ ( range_set_a_a_e @ R ) )
=> ~ ! [A6: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B2 ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_RangeE) ).
thf(84,axiom,
( domain_set_a_a_e
= ( image_64240033_set_a @ produc1040928388_a_a_e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_Domain__fst) ).
thf(85,axiom,
! [R2: set_Pr204296108_a_a_e] :
( ( image_64240033_set_a @ produc1040928388_a_a_e @ R2 )
= ( domain_set_a_a_e @ R2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_fst__eq__Domain) ).
thf(86,axiom,
! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( produc952037978_a_e_o @ F @ A2 @ B2 )
=> ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_curryE) ).
thf(87,axiom,
! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( produc952037978_a_e_o @ F @ A2 @ B2 )
=> ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_curryD) ).
thf(88,axiom,
! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) )
=> ( produc952037978_a_e_o @ F @ A2 @ B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_curryI) ).
thf(89,axiom,
( ord_less_eq_o_set_a
= ( ^ [X5: $o > set_a,Y6: $o > set_a] :
( ( ord_less_eq_set_a @ ( X5 @ $false ) @ ( Y6 @ $false ) )
& ( ord_less_eq_set_a @ ( X5 @ $true ) @ ( Y6 @ $true ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_le__rel__bool__arg__iff) ).
thf(90,axiom,
! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ( image_64240033_set_a @ F @ A )
= B )
=> ( ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( pow_Pr328302361_a_a_e @ A ) )
= ( pow_set_a @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_image__Pow__surj) ).
thf(91,axiom,
! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( pow_a @ A ) @ ( pow_a @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_Pow__mono) ).
thf(92,axiom,
! [A: set_a,B: set_a] :
( ( member_set_a @ A @ ( pow_a @ B ) )
=> ( ord_less_eq_set_a @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_PowD) ).
thf(93,axiom,
! [A: set_a] : ( member_set_a @ A @ ( pow_a @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_Pow__top) ).
thf(94,axiom,
! [A: set_a,B: set_a] :
( ( member_set_a @ A @ ( pow_a @ B ) )
= ( ord_less_eq_set_a @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_Pow__iff) ).
thf(95,axiom,
! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( member_set_a @ A @ ( pow_a @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_PowI) ).
thf(96,axiom,
! [R: set_a,S: a > e,R2: set_Pr204296108_a_a_e,S2: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ R @ S ) @ R2 )
=> ( ( S2 = S )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ R @ S2 ) @ R2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_ssubst__Pair__rhs) ).
thf(97,axiom,
! [R: set_Pr204296108_a_a_e,S: set_Pr204296108_a_a_e] :
( ! [X2: set_a,Y: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ S ) )
=> ( ord_le700723212_a_a_e @ R @ S ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_subrelI) ).
thf(98,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C3: produc715398134_a_a_e > set_a,D: produc715398134_a_a_e > set_a,Inf: set_set_a > set_a] :
( ( A = B )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ B )
=> ( ( C3 @ X2 )
= ( D @ X2 ) ) )
=> ( ( Inf @ ( image_64240033_set_a @ C3 @ A ) )
= ( Inf @ ( image_64240033_set_a @ D @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_Inf_OINF__cong) ).
thf(99,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C3: produc715398134_a_a_e > set_a,D: produc715398134_a_a_e > set_a,Sup: set_set_a > set_a] :
( ( A = B )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ B )
=> ( ( C3 @ X2 )
= ( D @ X2 ) ) )
=> ( ( Sup @ ( image_64240033_set_a @ C3 @ A ) )
= ( Sup @ ( image_64240033_set_a @ D @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_Sup_OSUP__cong) ).
thf(100,axiom,
! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
=> ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( pow_Pr328302361_a_a_e @ A ) ) @ ( pow_set_a @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_image__Pow__mono) ).
thf(101,axiom,
! [A: set_a,B: set_a,X3: a] :
( ( ( ord_less_eq_set_a @ A @ B )
| ( ord_less_eq_set_a @ B @ A ) )
=> ( ~ ( member_a @ X3 @ A )
=> ( ( member_a @ X3 @ B )
=> ( ord_less_eq_set_a @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_sub__which2) ).
thf(102,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ A @ B )
| ( ord_le700723212_a_a_e @ B @ A ) )
=> ( ~ ( member1258382221_a_a_e @ X3 @ A )
=> ( ( member1258382221_a_a_e @ X3 @ B )
=> ( ord_le700723212_a_a_e @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_250_sub__which2) ).
thf(103,axiom,
! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ( ord_le318720350_set_a @ A @ B )
| ( ord_le318720350_set_a @ B @ A ) )
=> ( ~ ( member_set_a @ X3 @ A )
=> ( ( member_set_a @ X3 @ B )
=> ( ord_le318720350_set_a @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_sub__which2) ).
thf(104,axiom,
! [A: set_a,B: set_a] :
( ( A != B )
=> ( ( ord_less_eq_set_a @ B @ A )
=> ? [X2: a] :
( ( member_a @ X2 @ A )
& ~ ( member_a @ X2 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_sets__not__eq) ).
thf(105,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ( A != B )
=> ( ( ord_le700723212_a_a_e @ B @ A )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ~ ( member1258382221_a_a_e @ X2 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_247_sets__not__eq) ).
thf(106,axiom,
! [A: set_set_a,B: set_set_a] :
( ( A != B )
=> ( ( ord_le318720350_set_a @ B @ A )
=> ? [X2: set_a] :
( ( member_set_a @ X2 @ A )
& ~ ( member_set_a @ X2 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_sets__not__eq) ).
thf(107,axiom,
! [A: set_a] : ( ord_less_eq_set_a @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_245_subset__self) ).
thf(108,axiom,
! [A: set_a,B: set_a] :
( ~ ( ord_less_eq_set_a @ A @ B )
=> ? [X2: a] :
( ( member_a @ X2 @ A )
& ~ ( member_a @ X2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_not__subseteq) ).
thf(109,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ A @ B )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ~ ( member1258382221_a_a_e @ X2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_243_not__subseteq) ).
thf(110,axiom,
! [A: set_set_a,B: set_set_a] :
( ~ ( ord_le318720350_set_a @ A @ B )
=> ? [X2: set_a] :
( ( member_set_a @ X2 @ A )
& ~ ( member_set_a @ X2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_not__subseteq) ).
thf(111,axiom,
! [A: set_a,B: set_a,X3: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ~ ( member_a @ X3 @ A )
=> ( ( member_a @ X3 @ B )
=> ( A != B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_proper__subset) ).
thf(112,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ~ ( member1258382221_a_a_e @ X3 @ A )
=> ( ( member1258382221_a_a_e @ X3 @ B )
=> ( A != B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_proper__subset) ).
thf(113,axiom,
! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ~ ( member_set_a @ X3 @ A )
=> ( ( member_set_a @ X3 @ B )
=> ( A != B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_proper__subset) ).
thf(114,axiom,
! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,B: set_Pr204296108_a_a_e,A2: produc715398134_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ( member1258382221_a_a_e @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_625620211_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_mem__in__image1) ).
thf(115,axiom,
! [A: set_set_a,F: set_a > produc715398134_a_a_e,B: set_Pr204296108_a_a_e,A2: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ( member_set_a @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_210900495_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_mem__in__image1) ).
thf(116,axiom,
! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,B: set_set_a,A2: produc715398134_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ( member1258382221_a_a_e @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_64240033_set_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_mem__in__image1) ).
thf(117,axiom,
! [A: set_set_a,F: set_a > set_a,B: set_set_a,A2: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ( member_set_a @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_set_a_set_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_mem__in__image1) ).
thf(118,axiom,
! [A2: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_625620211_a_a_e @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_mem__in__image2) ).
thf(119,axiom,
! [A2: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_64240033_set_a @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_mem__in__image2) ).
thf(120,axiom,
! [A2: set_a,A: set_set_a,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_210900495_a_a_e @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_mem__in__image2) ).
thf(121,axiom,
! [A2: set_a,A: set_set_a,F: set_a > set_a] :
( ( member_set_a @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_set_a_set_a @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_mem__in__image2) ).
thf(122,axiom,
! [B2: set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ( B2
= ( F @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_mem__in__image3) ).
thf(123,axiom,
! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ C2 @ A2 )
=> ( ord_less_eq_set_a @ C2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_ge__convert) ).
thf(124,axiom,
! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ A2 @ C2 )
=> ( ord_less_eq_set_a @ B2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_le__convert) ).
thf(125,axiom,
! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( finite_Fpow_a @ A ) @ ( finite_Fpow_a @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_Fpow__mono) ).
thf(126,axiom,
! [A: set_a,B: set_a,X3: a] :
( ( ( ord_less_eq_set_a @ A @ B )
| ( ord_less_eq_set_a @ B @ A ) )
=> ( ( member_a @ X3 @ A )
=> ( ~ ( member_a @ X3 @ B )
=> ( ord_less_eq_set_a @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_sub__which1) ).
thf(127,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ A @ B )
| ( ord_le700723212_a_a_e @ B @ A ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( ~ ( member1258382221_a_a_e @ X3 @ B )
=> ( ord_le700723212_a_a_e @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_sub__which1) ).
thf(128,axiom,
! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ( ord_le318720350_set_a @ A @ B )
| ( ord_le318720350_set_a @ B @ A ) )
=> ( ( member_set_a @ X3 @ A )
=> ( ~ ( member_set_a @ X3 @ B )
=> ( ord_le318720350_set_a @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_sub__which1) ).
thf(129,axiom,
! [A: set_a,B: set_a] :
( ( A = B )
=> ( ord_less_eq_set_a @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_eqsets__sub) ).
thf(130,axiom,
! [A: set_a,B: set_a] :
( ~ ( ord_less_eq_set_a @ A @ B )
=> ? [A6: a] :
( ( member_a @ A6 @ A )
& ~ ( member_a @ A6 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_not__sub) ).
thf(131,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ A @ B )
=> ? [A6: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ A6 @ A )
& ~ ( member1258382221_a_a_e @ A6 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_not__sub) ).
thf(132,axiom,
! [A: set_set_a,B: set_set_a] :
( ~ ( ord_le318720350_set_a @ A @ B )
=> ? [A6: set_a] :
( ( member_set_a @ A6 @ A )
& ~ ( member_set_a @ A6 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_not__sub) ).
thf(133,axiom,
! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
=> ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( finite33065488_a_a_e @ A ) ) @ ( finite_Fpow_set_a @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_image__Fpow__mono) ).
thf(134,axiom,
! [P2: produc715398134_a_a_e > $o,P: produc715398134_a_a_e] :
( ! [A6: set_a,B6: a > e] : ( P2 @ ( produc1134456688_a_a_e @ A6 @ B6 ) )
=> ( P2 @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_prod__cases) ).
thf(135,axiom,
! [A2: set_a,B2: a > e,A5: set_a,B5: a > e] :
( ( ( produc1134456688_a_a_e @ A2 @ B2 )
= ( produc1134456688_a_a_e @ A5 @ B5 ) )
=> ~ ( ( A2 = A5 )
=> ( B2 != B5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_Pair__inject) ).
thf(136,axiom,
! [Y3: produc715398134_a_a_e] :
~ ! [A6: set_a,B6: a > e] :
( Y3
!= ( produc1134456688_a_a_e @ A6 @ B6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_old_Oprod_Oexhaust) ).
thf(137,axiom,
! [P2: produc715398134_a_a_e > $o,Prod: produc715398134_a_a_e] :
( ! [A6: set_a,B6: a > e] : ( P2 @ ( produc1134456688_a_a_e @ A6 @ B6 ) )
=> ( P2 @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_old_Oprod_Oinducts) ).
thf(138,axiom,
! [P2: set_a > $o,X3: set_a,Q: set_a > $o] :
( ( P2 @ X3 )
=> ( ! [Y: set_a] :
( ( P2 @ Y )
=> ( ord_less_eq_set_a @ Y @ X3 ) )
=> ( ! [X2: set_a] :
( ( P2 @ X2 )
=> ( ! [Y5: set_a] :
( ( P2 @ Y5 )
=> ( ord_less_eq_set_a @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_Greatest_set_a @ P2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_GreatestI2__order) ).
thf(139,axiom,
! [P2: set_a > $o,X3: set_a] :
( ( P2 @ X3 )
=> ( ! [Y: set_a] :
( ( P2 @ Y )
=> ( ord_less_eq_set_a @ Y @ X3 ) )
=> ( ( order_Greatest_set_a @ P2 )
= X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_Greatest__equality) ).
thf(140,axiom,
! [F: a > a,A: set_a,P2: set_a > $o] :
( ( ! [B4: set_a] :
( ( ord_less_eq_set_a @ B4 @ ( image_a_a @ F @ A ) )
=> ( P2 @ B4 ) ) )
= ( ! [B4: set_a] :
( ( ord_less_eq_set_a @ B4 @ A )
=> ( P2 @ ( image_a_a @ F @ B4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_all__subset__image) ).
thf(141,axiom,
! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_set_a > $o] :
( ( ! [B4: set_set_a] :
( ( ord_le318720350_set_a @ B4 @ ( image_64240033_set_a @ F @ A ) )
=> ( P2 @ B4 ) ) )
= ( ! [B4: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B4 @ A )
=> ( P2 @ ( image_64240033_set_a @ F @ B4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_all__subset__image) ).
thf(142,axiom,
! [X3: produc715398134_a_a_e,Y3: set_a,Z2: a > e] :
( ( X3
= ( produc1134456688_a_a_e @ Y3 @ Z2 ) )
=> ( ( produc1040928388_a_a_e @ X3 )
= Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_fstI) ).
thf(143,axiom,
! [X3: set_a,Y3: a > e,A2: set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= A2 )
=> ( X3 = A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_fst__eqD) ).
thf(144,axiom,
! [X1: set_a,X22: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_fst__conv) ).
thf(145,axiom,
! [A2: set_a,P: produc715398134_a_a_e] :
( ( A2
= ( produc1040928388_a_a_e @ P ) )
= ( ? [B3: a > e] :
( P
= ( produc1134456688_a_a_e @ A2 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_eq__fst__iff) ).
thf(146,axiom,
! [A2: set_a,B2: a > e,A5: set_a,B5: a > e] :
( ( ( produc1134456688_a_a_e @ A2 @ B2 )
= ( produc1134456688_a_a_e @ A5 @ B5 ) )
= ( ( A2 = A5 )
& ( B2 = B5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_old_Oprod_Oinject) ).
thf(147,axiom,
! [X1: set_a,X22: a > e,Y1: set_a,Y22: a > e] :
( ( ( produc1134456688_a_a_e @ X1 @ X22 )
= ( produc1134456688_a_a_e @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_prod_Oinject) ).
thf(148,axiom,
! [A: set_a,B: set_a,X3: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( member_a @ X3 @ A )
=> ( member_a @ X3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_in__mono) ).
thf(149,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ X3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_in__mono) ).
thf(150,axiom,
! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( member_set_a @ X3 @ A )
=> ( member_set_a @ X3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_in__mono) ).
thf(151,axiom,
! [A: set_a,B: set_a,C2: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( member_a @ C2 @ A )
=> ( member_a @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_subsetD) ).
thf(152,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C2: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( member1258382221_a_a_e @ C2 @ A )
=> ( member1258382221_a_a_e @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_subsetD) ).
thf(153,axiom,
! [A: set_set_a,B: set_set_a,C2: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( member_set_a @ C2 @ A )
=> ( member_set_a @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_subsetD) ).
thf(154,axiom,
! [A: set_a,B: set_a] :
( ( A = B )
=> ~ ( ( ord_less_eq_set_a @ A @ B )
=> ~ ( ord_less_eq_set_a @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_equalityE) ).
thf(155,axiom,
( ord_less_eq_set_a
= ( ^ [A4: set_a,B4: set_a] :
! [X4: a] :
( ( member_a @ X4 @ A4 )
=> ( member_a @ X4 @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_subset__eq) ).
thf(156,axiom,
( ord_le700723212_a_a_e
= ( ^ [A4: set_Pr204296108_a_a_e,B4: set_Pr204296108_a_a_e] :
! [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A4 )
=> ( member1258382221_a_a_e @ X4 @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_subset__eq) ).
thf(157,axiom,
( ord_le318720350_set_a
= ( ^ [A4: set_set_a,B4: set_set_a] :
! [X4: set_a] :
( ( member_set_a @ X4 @ A4 )
=> ( member_set_a @ X4 @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_subset__eq) ).
thf(158,axiom,
! [A: set_a,B: set_a] :
( ( A = B )
=> ( ord_less_eq_set_a @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_equalityD2) ).
thf(159,axiom,
( ord_less_eq_set_a
= ( ^ [A4: set_a,B4: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_subset__iff) ).
thf(160,axiom,
( ord_le700723212_a_a_e
= ( ^ [A4: set_Pr204296108_a_a_e,B4: set_Pr204296108_a_a_e] :
! [T: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ T @ A4 )
=> ( member1258382221_a_a_e @ T @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_subset__iff) ).
thf(161,axiom,
( ord_le318720350_set_a
= ( ^ [A4: set_set_a,B4: set_set_a] :
! [T: set_a] :
( ( member_set_a @ T @ A4 )
=> ( member_set_a @ T @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_subset__iff) ).
thf(162,axiom,
! [P2: a > $o,Q: a > $o] :
( ! [X2: a] :
( ( P2 @ X2 )
=> ( Q @ X2 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P2 ) @ ( collect_a @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_Collect__mono) ).
thf(163,axiom,
! [A: set_a,B: set_a,C3: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( ord_less_eq_set_a @ B @ C3 )
=> ( ord_less_eq_set_a @ A @ C3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_subset__trans) ).
thf(164,axiom,
( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A4: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ A4 @ B4 )
& ( ord_less_eq_set_a @ B4 @ A4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_set__eq__subset) ).
thf(165,axiom,
! [P2: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P2 ) @ ( collect_a @ Q ) )
= ( ! [X4: a] :
( ( P2 @ X4 )
=> ( Q @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_Collect__mono__iff) ).
thf(166,axiom,
! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ ( F @ X3 ) @ ( image_625620211_a_a_e @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_imageI) ).
thf(167,axiom,
! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( member_set_a @ ( F @ X3 ) @ ( image_64240033_set_a @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_imageI) ).
thf(168,axiom,
! [X3: set_a,A: set_set_a,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ ( F @ X3 ) @ ( image_210900495_a_a_e @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_imageI) ).
thf(169,axiom,
! [X3: set_a,A: set_set_a,F: set_a > set_a] :
( ( member_set_a @ X3 @ A )
=> ( member_set_a @ ( F @ X3 ) @ ( image_set_a_set_a @ F @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_imageI) ).
thf(170,axiom,
! [Z2: set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( member_set_a @ Z2 @ ( image_64240033_set_a @ F @ A ) )
= ( ? [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A )
& ( Z2
= ( F @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_image__iff) ).
thf(171,axiom,
! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ? [X: set_a] :
( ( member_set_a @ X @ ( image_64240033_set_a @ F @ A ) )
& ( P2 @ X ) )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ( P2 @ ( F @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_bex__imageD) ).
thf(172,axiom,
! [M: set_Pr204296108_a_a_e,N: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,G: produc715398134_a_a_e > set_a] :
( ( M = N )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ N )
=> ( ( F @ X2 )
= ( G @ X2 ) ) )
=> ( ( image_64240033_set_a @ F @ M )
= ( image_64240033_set_a @ G @ N ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_image__cong) ).
thf(173,axiom,
! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ F @ A ) )
=> ( P2 @ X2 ) )
=> ! [X: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X @ A )
=> ( P2 @ ( F @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_ball__imageD) ).
thf(174,axiom,
! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,B2: produc715398134_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member1258382221_a_a_e @ B2 @ ( image_625620211_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_rev__image__eqI) ).
thf(175,axiom,
! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,B2: set_a,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_rev__image__eqI) ).
thf(176,axiom,
! [X3: set_a,A: set_set_a,B2: produc715398134_a_a_e,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member1258382221_a_a_e @ B2 @ ( image_210900495_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_rev__image__eqI) ).
thf(177,axiom,
! [X3: set_a,A: set_set_a,B2: set_a,F: set_a > set_a] :
( ( member_set_a @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_set_a_set_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_rev__image__eqI) ).
thf(178,axiom,
! [A: set_Pr204296108_a_a_e] :
( ( collec1369693387_a_a_e
@ ^ [X4: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X4 @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_Collect__mem__eq) ).
thf(179,axiom,
! [A: set_set_a] :
( ( collect_set_a
@ ^ [X4: set_a] : ( member_set_a @ X4 @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_Collect__mem__eq) ).
thf(180,axiom,
! [A2: produc715398134_a_a_e,P2: produc715398134_a_a_e > $o] :
( ( member1258382221_a_a_e @ A2 @ ( collec1369693387_a_a_e @ P2 ) )
= ( P2 @ A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_mem__Collect__eq) ).
thf(181,axiom,
! [A2: set_a,P2: set_a > $o] :
( ( member_set_a @ A2 @ ( collect_set_a @ P2 ) )
= ( P2 @ A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_mem__Collect__eq) ).
thf(182,axiom,
! [A2: set_a,F: set_a > set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_order__subst1) ).
thf(183,axiom,
! [A2: set_a,B2: set_a,F: set_a > set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_order__subst2) ).
thf(184,axiom,
! [A2: set_a,F: set_a > set_a,B2: set_a,C2: set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_ord__eq__le__subst) ).
thf(185,axiom,
! [A2: $o > set_a,F: ( $o > set_a ) > $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_ord__eq__le__subst) ).
thf(186,axiom,
! [A2: set_set_set_a,F: ( $o > set_a ) > set_set_set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_ord__eq__le__subst) ).
thf(187,axiom,
! [A2: set_set_a,F: ( $o > set_a ) > set_set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_ord__eq__le__subst) ).
thf(188,axiom,
! [A2: set_Pr204296108_a_a_e,F: ( $o > set_a ) > set_Pr204296108_a_a_e,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le700723212_a_a_e @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le700723212_a_a_e @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_ord__eq__le__subst) ).
thf(189,axiom,
! [A2: set_set_a,B2: set_set_a,F: set_set_a > $o > set_a,C2: $o > set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_ord__le__eq__subst) ).
thf(190,axiom,
! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_set_set_a,C2: set_set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_ord__le__eq__subst) ).
thf(191,axiom,
! [A2: $o > set_a,B2: $o > set_a,F: ( $o > set_a ) > set_a,C2: set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_ord__le__eq__subst) ).
thf(192,axiom,
! [A2: set_set_set_a,B2: set_set_set_a,F: set_set_set_a > set_a,C2: set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_set_a,Y: set_set_set_a] :
( ( ord_le2103863998_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_ord__le__eq__subst) ).
thf(193,axiom,
! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_ord__le__eq__subst) ).
thf(194,axiom,
! [A2: set_a,B2: set_a,F: set_a > $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_ord__le__eq__subst) ).
thf(195,axiom,
! [A2: set_a,B2: set_a,F: set_a > set_set_set_a,C2: set_set_set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_ord__le__eq__subst) ).
thf(196,axiom,
! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_a,C2: set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_ord__le__eq__subst) ).
thf(197,axiom,
! [A2: set_a,B2: set_a,F: set_a > set_set_a,C2: set_set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_ord__le__eq__subst) ).
thf(198,axiom,
! [A2: set_a,B2: set_a,F: set_a > set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_ord__le__eq__subst) ).
thf(199,axiom,
( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_a,Y4: set_a] :
( ( ord_less_eq_set_a @ X4 @ Y4 )
& ( ord_less_eq_set_a @ Y4 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_eq__iff) ).
thf(200,axiom,
( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [X4: $o > set_a,Y4: $o > set_a] :
( ( ord_less_eq_o_set_a @ X4 @ Y4 )
& ( ord_less_eq_o_set_a @ Y4 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_eq__iff) ).
thf(201,axiom,
( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_set_set_a,Y4: set_set_set_a] :
( ( ord_le2103863998_set_a @ X4 @ Y4 )
& ( ord_le2103863998_set_a @ Y4 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_eq__iff) ).
thf(202,axiom,
( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_set_a,Y4: set_set_a] :
( ( ord_le318720350_set_a @ X4 @ Y4 )
& ( ord_le318720350_set_a @ Y4 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_eq__iff) ).
thf(203,axiom,
( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [X4: set_Pr204296108_a_a_e,Y4: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X4 @ Y4 )
& ( ord_le700723212_a_a_e @ Y4 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_eq__iff) ).
thf(204,axiom,
! [X3: set_a,Y3: set_a] :
( ( ord_less_eq_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_antisym) ).
thf(205,axiom,
! [X3: $o > set_a,Y3: $o > set_a] :
( ( ord_less_eq_o_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_o_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_antisym) ).
thf(206,axiom,
! [X3: set_set_set_a,Y3: set_set_set_a] :
( ( ord_le2103863998_set_a @ X3 @ Y3 )
=> ( ( ord_le2103863998_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_antisym) ).
thf(207,axiom,
! [X3: set_set_a,Y3: set_set_a] :
( ( ord_le318720350_set_a @ X3 @ Y3 )
=> ( ( ord_le318720350_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_antisym) ).
thf(208,axiom,
! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X3 @ Y3 )
=> ( ( ord_le700723212_a_a_e @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_antisym) ).
thf(209,axiom,
! [X3: set_a,Y3: set_a] :
( ( X3 = Y3 )
=> ( ord_less_eq_set_a @ X3 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_eq__refl) ).
thf(210,axiom,
! [X3: $o > set_a,Y3: $o > set_a] :
( ( X3 = Y3 )
=> ( ord_less_eq_o_set_a @ X3 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_eq__refl) ).
thf(211,axiom,
! [X3: set_set_set_a,Y3: set_set_set_a] :
( ( X3 = Y3 )
=> ( ord_le2103863998_set_a @ X3 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_eq__refl) ).
thf(212,axiom,
! [X3: set_set_a,Y3: set_set_a] :
( ( X3 = Y3 )
=> ( ord_le318720350_set_a @ X3 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_eq__refl) ).
thf(213,axiom,
! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e] :
( ( X3 = Y3 )
=> ( ord_le700723212_a_a_e @ X3 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_eq__refl) ).
thf(214,axiom,
! [A2: set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_order_Otrans) ).
thf(215,axiom,
! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_order_Otrans) ).
thf(216,axiom,
! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_order_Otrans) ).
thf(217,axiom,
! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ord_le318720350_set_a @ B2 @ C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_order_Otrans) ).
thf(218,axiom,
! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_order_Otrans) ).
thf(219,axiom,
! [Y3: set_a,X3: set_a] :
( ( ord_less_eq_set_a @ Y3 @ X3 )
=> ( ( ord_less_eq_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_antisym__conv) ).
thf(220,axiom,
! [Y3: $o > set_a,X3: $o > set_a] :
( ( ord_less_eq_o_set_a @ Y3 @ X3 )
=> ( ( ord_less_eq_o_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_antisym__conv) ).
thf(221,axiom,
! [Y3: set_set_set_a,X3: set_set_set_a] :
( ( ord_le2103863998_set_a @ Y3 @ X3 )
=> ( ( ord_le2103863998_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_antisym__conv) ).
thf(222,axiom,
! [Y3: set_set_a,X3: set_set_a] :
( ( ord_le318720350_set_a @ Y3 @ X3 )
=> ( ( ord_le318720350_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_antisym__conv) ).
thf(223,axiom,
! [Y3: set_Pr204296108_a_a_e,X3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ Y3 @ X3 )
=> ( ( ord_le700723212_a_a_e @ X3 @ Y3 )
= ( X3 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_antisym__conv) ).
thf(224,axiom,
( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
& ( ord_less_eq_set_a @ B3 @ A3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_order__class_Oorder_Oeq__iff) ).
thf(225,axiom,
( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [A3: $o > set_a,B3: $o > set_a] :
( ( ord_less_eq_o_set_a @ A3 @ B3 )
& ( ord_less_eq_o_set_a @ B3 @ A3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_order__class_Oorder_Oeq__iff) ).
thf(226,axiom,
( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_set_a,B3: set_set_set_a] :
( ( ord_le2103863998_set_a @ A3 @ B3 )
& ( ord_le2103863998_set_a @ B3 @ A3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_order__class_Oorder_Oeq__iff) ).
thf(227,axiom,
( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_a,B3: set_set_a] :
( ( ord_le318720350_set_a @ A3 @ B3 )
& ( ord_le318720350_set_a @ B3 @ A3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_order__class_Oorder_Oeq__iff) ).
thf(228,axiom,
( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [A3: set_Pr204296108_a_a_e,B3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A3 @ B3 )
& ( ord_le700723212_a_a_e @ B3 @ A3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_order__class_Oorder_Oeq__iff) ).
thf(229,axiom,
! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_ord__eq__le__trans) ).
thf(230,axiom,
! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_ord__eq__le__trans) ).
thf(231,axiom,
! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( A2 = B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_ord__eq__le__trans) ).
thf(232,axiom,
! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( A2 = B2 )
=> ( ( ord_le318720350_set_a @ B2 @ C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_ord__eq__le__trans) ).
thf(233,axiom,
! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( A2 = B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_ord__eq__le__trans) ).
thf(234,axiom,
! [A2: set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_ord__le__eq__trans) ).
thf(235,axiom,
! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_ord__le__eq__trans) ).
thf(236,axiom,
! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_ord__le__eq__trans) ).
thf(237,axiom,
! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_ord__le__eq__trans) ).
thf(238,axiom,
! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_ord__le__eq__trans) ).
thf(239,axiom,
! [A2: set_a,B2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_order__class_Oorder_Oantisym) ).
thf(240,axiom,
! [A2: $o > set_a,B2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_order__class_Oorder_Oantisym) ).
thf(241,axiom,
! [A2: set_set_set_a,B2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_order__class_Oorder_Oantisym) ).
thf(242,axiom,
! [A2: set_set_a,B2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_order__class_Oorder_Oantisym) ).
thf(243,axiom,
! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_order__class_Oorder_Oantisym) ).
thf(244,axiom,
! [X3: set_a,Y3: set_a,Z2: set_a] :
( ( ord_less_eq_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_set_a @ Y3 @ Z2 )
=> ( ord_less_eq_set_a @ X3 @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_order__trans) ).
thf(245,axiom,
! [X3: $o > set_a,Y3: $o > set_a,Z2: $o > set_a] :
( ( ord_less_eq_o_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_o_set_a @ Y3 @ Z2 )
=> ( ord_less_eq_o_set_a @ X3 @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_order__trans) ).
thf(246,axiom,
! [X3: set_set_set_a,Y3: set_set_set_a,Z2: set_set_set_a] :
( ( ord_le2103863998_set_a @ X3 @ Y3 )
=> ( ( ord_le2103863998_set_a @ Y3 @ Z2 )
=> ( ord_le2103863998_set_a @ X3 @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_order__trans) ).
thf(247,axiom,
! [X3: set_set_a,Y3: set_set_a,Z2: set_set_a] :
( ( ord_le318720350_set_a @ X3 @ Y3 )
=> ( ( ord_le318720350_set_a @ Y3 @ Z2 )
=> ( ord_le318720350_set_a @ X3 @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_order__trans) ).
thf(248,axiom,
! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e,Z2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X3 @ Y3 )
=> ( ( ord_le700723212_a_a_e @ Y3 @ Z2 )
=> ( ord_le700723212_a_a_e @ X3 @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_order__trans) ).
thf(249,axiom,
! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_dual__order_Orefl) ).
thf(250,axiom,
! [A2: $o > set_a] : ( ord_less_eq_o_set_a @ A2 @ A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_dual__order_Orefl) ).
thf(251,axiom,
! [A2: set_set_set_a] : ( ord_le2103863998_set_a @ A2 @ A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_dual__order_Orefl) ).
thf(252,axiom,
! [A2: set_set_a] : ( ord_le318720350_set_a @ A2 @ A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_dual__order_Orefl) ).
thf(253,axiom,
! [A2: set_Pr204296108_a_a_e] : ( ord_le700723212_a_a_e @ A2 @ A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_dual__order_Orefl) ).
thf(254,axiom,
! [B2: set_a,A2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_set_a @ C2 @ B2 )
=> ( ord_less_eq_set_a @ C2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_dual__order_Otrans) ).
thf(255,axiom,
! [B2: $o > set_a,A2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_o_set_a @ C2 @ B2 )
=> ( ord_less_eq_o_set_a @ C2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_dual__order_Otrans) ).
thf(256,axiom,
! [B2: set_set_set_a,A2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( ( ord_le2103863998_set_a @ C2 @ B2 )
=> ( ord_le2103863998_set_a @ C2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_dual__order_Otrans) ).
thf(257,axiom,
! [B2: set_set_a,A2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( ( ord_le318720350_set_a @ C2 @ B2 )
=> ( ord_le318720350_set_a @ C2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_dual__order_Otrans) ).
thf(258,axiom,
! [B2: set_Pr204296108_a_a_e,A2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( ( ord_le700723212_a_a_e @ C2 @ B2 )
=> ( ord_le700723212_a_a_e @ C2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_dual__order_Otrans) ).
thf(259,axiom,
( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ B3 @ A3 )
& ( ord_less_eq_set_a @ A3 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_dual__order_Oeq__iff) ).
thf(260,axiom,
( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [A3: $o > set_a,B3: $o > set_a] :
( ( ord_less_eq_o_set_a @ B3 @ A3 )
& ( ord_less_eq_o_set_a @ A3 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_dual__order_Oeq__iff) ).
thf(261,axiom,
( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_set_a,B3: set_set_set_a] :
( ( ord_le2103863998_set_a @ B3 @ A3 )
& ( ord_le2103863998_set_a @ A3 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_dual__order_Oeq__iff) ).
thf(262,axiom,
( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_a,B3: set_set_a] :
( ( ord_le318720350_set_a @ B3 @ A3 )
& ( ord_le318720350_set_a @ A3 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_dual__order_Oeq__iff) ).
thf(263,axiom,
( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [A3: set_Pr204296108_a_a_e,B3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B3 @ A3 )
& ( ord_le700723212_a_a_e @ A3 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_dual__order_Oeq__iff) ).
thf(264,axiom,
! [B2: set_a,A2: set_a] :
( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_dual__order_Oantisym) ).
thf(265,axiom,
! [B2: $o > set_a,A2: $o > set_a] :
( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_dual__order_Oantisym) ).
thf(266,axiom,
! [B2: set_set_set_a,A2: set_set_set_a] :
( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_dual__order_Oantisym) ).
thf(267,axiom,
! [B2: set_set_a,A2: set_set_a] :
( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_dual__order_Oantisym) ).
thf(268,axiom,
! [B2: set_Pr204296108_a_a_e,A2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_dual__order_Oantisym) ).
thf(269,axiom,
! [P: produc715398134_a_a_e] :
? [X2: set_a,Y: a > e] :
( P
= ( produc1134456688_a_a_e @ X2 @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_PairE__lemma) ).
thf(270,axiom,
! [P: produc1965228714_set_a] :
? [X2: a > e,Y: set_a] :
( P
= ( produc479206876_set_a @ X2 @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_PairE__lemma) ).
thf(271,axiom,
! [B: set_set_set_a,F: set_set_a > set_set_a,A: set_set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1956910981_set_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_1956910981_set_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_subset__image__iff) ).
thf(272,axiom,
! [B: set_set_set_a,F: set_a > set_set_a,A: set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1930509541_set_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_1930509541_set_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_subset__image__iff) ).
thf(273,axiom,
! [B: set_set_a,F: set_set_a > set_a,A: set_set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_402591269_set_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_402591269_set_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_subset__image__iff) ).
thf(274,axiom,
! [B: set_set_set_a,F: a > set_set_a,A: set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_a_set_set_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_set_set_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_subset__image__iff) ).
thf(275,axiom,
! [B: set_set_a,F: set_a > set_a,A: set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_set_a_set_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_set_a_set_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_subset__image__iff) ).
thf(276,axiom,
! [B: set_a,F: set_set_a > a,A: set_set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_set_a_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_set_set_a_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_subset__image__iff) ).
thf(277,axiom,
! [B: set_set_a,F: a > set_a,A: set_a] :
( ( ord_le318720350_set_a @ B @ ( image_a_set_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_set_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_subset__image__iff) ).
thf(278,axiom,
! [B: set_a,F: set_a > a,A: set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_a_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_set_a_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_subset__image__iff) ).
thf(279,axiom,
! [B: set_set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ B @ ( image_64240033_set_a @ F @ A ) )
= ( ? [AA: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ AA @ A )
& ( B
= ( image_64240033_set_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_subset__image__iff) ).
thf(280,axiom,
! [B: set_a,F: a > a,A: set_a] :
( ( ord_less_eq_set_a @ B @ ( image_a_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_a @ F @ AA ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_subset__image__iff) ).
thf(281,axiom,
! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
= ( ! [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A )
=> ( member_set_a @ ( F @ X4 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_image__subset__iff) ).
thf(282,axiom,
! [F: set_Pr204296108_a_a_e > set_set_a,A: set_se821189730_a_a_e,B: set_set_set_a] :
( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ F @ A ) @ B )
= ( ! [X4: set_Pr204296108_a_a_e] :
( ( member1437121347_a_a_e @ X4 @ A )
=> ( member_set_set_a @ ( F @ X4 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_image__subset__iff) ).
thf(283,axiom,
! [F: set_a > set_a,A: set_set_a,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member_set_a @ ( F @ X4 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_image__subset__iff) ).
thf(284,axiom,
! [F: set_a > produc715398134_a_a_e,A: set_set_a,B: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member1258382221_a_a_e @ ( F @ X4 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_image__subset__iff) ).
thf(285,axiom,
! [F: a > a,A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ B )
= ( ! [X4: a] :
( ( member_a @ X4 @ A )
=> ( member_a @ ( F @ X4 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_image__subset__iff) ).
thf(286,axiom,
! [F: set_a > a,A: set_set_a,B: set_a] :
( ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member_a @ ( F @ X4 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_image__subset__iff) ).
thf(287,axiom,
! [B: set_set_set_a,F: set_set_a > set_set_a,A: set_set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1956910981_set_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_1956910981_set_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_subset__imageE) ).
thf(288,axiom,
! [B: set_set_set_a,F: set_a > set_set_a,A: set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1930509541_set_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_1930509541_set_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_subset__imageE) ).
thf(289,axiom,
! [B: set_set_a,F: set_set_a > set_a,A: set_set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_402591269_set_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_402591269_set_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_subset__imageE) ).
thf(290,axiom,
! [B: set_set_set_a,F: a > set_set_a,A: set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_a_set_set_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_set_set_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_subset__imageE) ).
thf(291,axiom,
! [B: set_set_a,F: set_a > set_a,A: set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_set_a_set_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_set_a_set_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_subset__imageE) ).
thf(292,axiom,
! [B: set_a,F: set_set_a > a,A: set_set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_set_a_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_set_set_a_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_subset__imageE) ).
thf(293,axiom,
! [B: set_set_a,F: a > set_a,A: set_a] :
( ( ord_le318720350_set_a @ B @ ( image_a_set_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_set_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_subset__imageE) ).
thf(294,axiom,
! [B: set_a,F: set_a > a,A: set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_a_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_set_a_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_subset__imageE) ).
thf(295,axiom,
! [B: set_set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ B @ ( image_64240033_set_a @ F @ A ) )
=> ~ ! [C: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ C @ A )
=> ( B
!= ( image_64240033_set_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_subset__imageE) ).
thf(296,axiom,
! [B: set_a,F: a > a,A: set_a] :
( ( ord_less_eq_set_a @ B @ ( image_a_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_a @ F @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_subset__imageE) ).
thf(297,axiom,
! [A: set_a_e,F: ( a > e ) > a,B: set_a] :
( ! [X2: a > e] :
( ( member_a_e @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_a_e_a @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_image__subsetI) ).
thf(298,axiom,
! [A: set_a,F: a > a > e,B: set_a_e] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a_e @ ( image_a_a_e @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_image__subsetI) ).
thf(299,axiom,
! [A: set_a,F: a > set_a,B: set_set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_a_set_a @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_image__subsetI) ).
thf(300,axiom,
! [A: set_a,F: a > a,B: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_image__subsetI) ).
thf(301,axiom,
! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_image__subsetI) ).
thf(302,axiom,
! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,B: set_set_a] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_image__subsetI) ).
thf(303,axiom,
! [A: set_set_a,F: set_a > produc715398134_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_image__subsetI) ).
thf(304,axiom,
! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > a,B: set_a] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_image__subsetI) ).
thf(305,axiom,
! [A: set_set_a,F: set_a > set_a,B: set_set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_image__subsetI) ).
thf(306,axiom,
! [A: set_set_a,F: set_a > a,B: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_image__subsetI) ).
thf(307,axiom,
! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > set_set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ F @ A ) @ ( image_1956910981_set_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_image__mono) ).
thf(308,axiom,
! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_402591269_set_a @ F @ A ) @ ( image_402591269_set_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_image__mono) ).
thf(309,axiom,
! [A: set_set_a,B: set_set_a,F: set_a > set_set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ F @ A ) @ ( image_1930509541_set_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_image__mono) ).
thf(310,axiom,
! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_set_set_a_a @ F @ A ) @ ( image_set_set_a_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_image__mono) ).
thf(311,axiom,
! [A: set_set_a,B: set_set_a,F: set_a > set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ ( image_set_a_set_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_image__mono) ).
thf(312,axiom,
! [A: set_a,B: set_a,F: a > set_set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_a_set_set_a @ F @ A ) @ ( image_a_set_set_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_image__mono) ).
thf(313,axiom,
! [A: set_set_a,B: set_set_a,F: set_a > a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ ( image_set_a_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_image__mono) ).
thf(314,axiom,
! [A: set_a,B: set_a,F: a > set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_a_set_a @ F @ A ) @ ( image_a_set_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_image__mono) ).
thf(315,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ ( image_64240033_set_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_image__mono) ).
thf(316,axiom,
! [A: set_a,B: set_a,F: a > a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ ( image_a_a @ F @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_image__mono) ).
thf(317,axiom,
! [X3: set_a] : ( ord_less_eq_set_a @ X3 @ X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_order__refl) ).
thf(318,axiom,
! [X3: $o > set_a] : ( ord_less_eq_o_set_a @ X3 @ X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_order__refl) ).
thf(319,axiom,
! [X3: set_set_set_a] : ( ord_le2103863998_set_a @ X3 @ X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_order__refl) ).
thf(320,axiom,
! [X3: set_set_a] : ( ord_le318720350_set_a @ X3 @ X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_order__refl) ).
thf(321,axiom,
! [X3: set_Pr204296108_a_a_e] : ( ord_le700723212_a_a_e @ X3 @ X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_order__refl) ).
thf(322,axiom,
! [B2: a > e,F: set_a > a > e,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_a_e @ B2 @ ( image_set_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_image__eqI) ).
thf(323,axiom,
! [B2: a,F: ( a > e ) > a,X3: a > e,A: set_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a_e @ X3 @ A )
=> ( member_a @ B2 @ ( image_a_e_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_image__eqI) ).
thf(324,axiom,
! [B2: a > e,F: a > a > e,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_a_e @ B2 @ ( image_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_image__eqI) ).
thf(325,axiom,
! [B2: set_a,F: a > set_a,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_a_set_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_image__eqI) ).
thf(326,axiom,
! [B2: a,F: set_a > a,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_a @ B2 @ ( image_set_a_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_image__eqI) ).
thf(327,axiom,
! [B2: a,F: a > a,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_a @ B2 @ ( image_a_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_image__eqI) ).
thf(328,axiom,
! [B2: produc715398134_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ B2 @ ( image_625620211_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_image__eqI) ).
thf(329,axiom,
! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_image__eqI) ).
thf(330,axiom,
! [B2: produc715398134_a_a_e,F: set_a > produc715398134_a_a_e,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ B2 @ ( image_210900495_a_a_e @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_image__eqI) ).
thf(331,axiom,
! [B2: set_a,F: set_a > set_a,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_set_a_set_a @ F @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_image__eqI) ).
thf(332,axiom,
! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( ord_less_eq_set_a @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_subset__antisym) ).
thf(333,axiom,
! [A: set_set_set_a,B: set_set_set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ( ord_le2103863998_set_a @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_subset__antisym) ).
thf(334,axiom,
! [A: set_set_a,B: set_set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( ord_le318720350_set_a @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_subset__antisym) ).
thf(335,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( ord_le700723212_a_a_e @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_subset__antisym) ).
thf(336,axiom,
! [A: set_a,B: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a @ X2 @ B ) )
=> ( ord_less_eq_set_a @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_subsetI) ).
thf(337,axiom,
! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ X2 @ B ) )
=> ( ord_le700723212_a_a_e @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_subsetI) ).
thf(338,axiom,
! [A: set_set_a,B: set_set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ X2 @ B ) )
=> ( ord_le318720350_set_a @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_subsetI) ).
thf(339,axiom,
! [A: set_set_set_a,B: set_set_set_a] :
( ! [X2: set_set_a] :
( ( member_set_set_a @ X2 @ A )
=> ( member_set_set_a @ X2 @ B ) )
=> ( ord_le2103863998_set_a @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_subsetI) ).
thf(340,axiom,
! [A: set_Pr305929312_set_a,B: set_Pr305929312_set_a] :
( ! [X2: produc1965228714_set_a] :
( ( member360729153_set_a @ X2 @ A )
=> ( member360729153_set_a @ X2 @ B ) )
=> ( ord_le802356416_set_a @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_subsetI) ).
thf(341,axiom,
! [A: set_a_e,B: set_a_e] :
( ! [X2: a > e] :
( ( member_a_e @ X2 @ A )
=> ( member_a_e @ X2 @ B ) )
=> ( ord_less_eq_set_a_e @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_subsetI) ).
thf(342,axiom,
member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a3 @ b3 ) @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__092_060open_062_Ia3_M_Ab3_J_A_092_060in_062_AC_092_060close_062) ).
thf(343,axiom,
member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a2 @ b2 ) @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9__092_060open_062_Ia2_M_Ab2_J_A_092_060in_062_AC_092_060close_062) ).
thf(344,axiom,
member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a1 @ b1 ) @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062_Ia1_M_Ab1_J_A_092_060in_062_AC_092_060close_062) ).
thf(345,axiom,
member_set_a @ a1 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_A_I1_J) ).
thf(346,axiom,
member_set_a @ a2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_A_I2_J) ).
thf(347,axiom,
member_set_a @ a3 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_A_I3_J) ).
thf(348,axiom,
( ( ord_less_eq_set_a @ a2 @ a3 )
| ( ord_less_eq_set_a @ a3 @ a2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062a2_A_092_060subseteq_062_Aa3_A_092_060or_062_Aa3_A_092_060subseteq_062_Aa2_092_060close_062) ).
thf(349,axiom,
( ( ord_less_eq_set_a @ a1 @ a3 )
| ( ord_less_eq_set_a @ a3 @ a1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062a1_A_092_060subseteq_062_Aa3_A_092_060or_062_Aa3_A_092_060subseteq_062_Aa1_092_060close_062) ).
thf(350,axiom,
( ( ord_less_eq_set_a @ a1 @ a2 )
| ( ord_less_eq_set_a @ a2 @ a1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062a1_A_092_060subseteq_062_Aa2_A_092_060or_062_Aa2_A_092_060subseteq_062_Aa1_092_060close_062) ).
thf(351,axiom,
? [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X2 )
& ( ord_less_eq_set_a @ a2 @ X2 )
& ( ord_less_eq_set_a @ a3 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062) ).
thf(352,axiom,
! [X: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X @ c )
=> ! [Xa: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ Xa @ c )
=> ( ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ X ) @ ( produc1040928388_a_a_e @ Xa ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ Xa ) @ ( produc1040928388_a_a_e @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060forall_062a_092_060in_062C_O_A_092_060forall_062b_092_060in_062C_O_Afst_Aa_A_092_060subseteq_062_Afst_Ab_A_092_060or_062_Afst_Ab_A_092_060subseteq_062_Afst_Aa_092_060close_062) ).
thf(353,axiom,
! [A7: set_a] :
( ( member_set_a @ A7 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ A7 )
=> ( ( ord_less_eq_set_a @ a2 @ A7 )
=> ( ( ord_less_eq_set_a @ a3 @ A7 )
=> thesis ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(354,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(355,negated_conjecture,
thesis = $false,
inference(negate_conjecture,[status(cth)],[354]) ).
thf(356,plain,
thesis = $false,
inference(unfold_def,[status(thm)],[355]) ).
thf(357,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e,C2: a > e,G: produc715398134_a_a_e > a > e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( C2
= ( G @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ C2 ) @ ( bNF_Gr2072183031_a_a_e @ A @ F @ G ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(358,plain,
( ( ! [B2: set_a,F: set_a > set_a,X3: set_a,C2: a > e,G: set_a > a > e,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( C2
= ( G @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ C2 ) @ ( bNF_Gr1872575811_a_a_e @ A @ F @ G ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(359,plain,
( ( ! [Ac2: produc715398134_a_a_e,P2: set_a > set_a > $o,Q: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ Ac2 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ P2 @ Q ) ) ) )
=> ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ P2 @ Q @ Ac2 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(360,plain,
( ( ! [Ac2: produc715398134_a_a_e,P2: set_a > ( a > e ) > $o,Q: ( a > e ) > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ Ac2 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ P2 @ Q ) ) ) )
=> ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ P2 @ Q @ Ac2 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ P2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(361,plain,
( ( fun_in_rel_set_a_a_e
= ( ^ [R3: set_Pr204296108_a_a_e,X4: set_a,Y4: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X4 @ Y4 ) @ R3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(362,plain,
( ( ! [Z2: produc715398134_a_a_e,C2: set_a > ( a > e ) > set_Pr204296108_a_a_e,P: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ Z2 @ ( produc1096319049_a_a_e @ C2 @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( P
= ( produc1134456688_a_a_e @ X2 @ Y ) )
=> ~ ( member1258382221_a_a_e @ Z2 @ ( C2 @ X2 @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(363,plain,
( ( ! [Z2: set_a,C2: set_a > ( a > e ) > set_set_a,P: produc715398134_a_a_e] :
( ( member_set_a @ Z2 @ ( produc1620938593_set_a @ C2 @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( P
= ( produc1134456688_a_a_e @ X2 @ Y ) )
=> ~ ( member_set_a @ Z2 @ ( C2 @ X2 @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(364,plain,
( ( bNF_fs1024561536_e_a_e
= ( ^ [P4: set_a > ( a > e ) > $o,Q3: ( a > e ) > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Ac ) @ ( bNF_pi1175744974_e_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(365,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ X3 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ A ) ) )
=> ( A @ ( produc1040928388_a_a_e @ X3 ) @ ( produc317566658_a_a_e @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(366,plain,
( ( bNF_sn375433437_a_a_e
= ( ^ [P4: set_a > set_a > $o,Q3: set_a > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) @ ( produc317566658_a_a_e @ Ac ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(367,plain,
( ( ! [X6: set_set_a,A: set_Pr204296108_a_a_e,Y7: set_a_e,P2: set_a > ( a > e ) > $o,Q: set_a > ( a > e ) > $o] :
( ( X6
= ( image_64240033_set_a @ produc1040928388_a_a_e @ A ) )
=> ( ( Y7
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ A ) )
=> ( ! [X2: set_a] :
( ( member_set_a @ X2 @ X6 )
=> ! [Xa2: a > e] :
( ( member_a_e @ Xa2 @ Y7 )
=> ( ( P2 @ X2 @ Xa2 )
=> ( Q @ X2 @ Xa2 ) ) ) )
=> ( ( ord_le700723212_a_a_e @ A @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ P2 ) ) )
=> ( ord_le700723212_a_a_e @ A @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ Q ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(368,plain,
( ( ! [P2: ( a > e ) > set_a > $o,P: produc715398134_a_a_e] :
( ( P2 @ ( produc317566658_a_a_e @ P ) @ ( produc1040928388_a_a_e @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
~ ( P2 @ Y @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(369,plain,
( ( top_to2000253225_a_e_o
= ( ^ [X4: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X4 @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(370,plain,
( ( top_top_set_a_o
= ( ^ [X4: set_a] : ( member_set_a @ X4 @ top_top_set_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(371,plain,
( ( ! [P2: set_a > ( a > e ) > $o,X3: set_a,Y3: a > e,A2: produc715398134_a_a_e] :
( ( P2 @ X3 @ Y3 )
=> ( ( A2
= ( produc1134456688_a_a_e @ X3 @ Y3 ) )
=> ( P2 @ ( produc1040928388_a_a_e @ A2 ) @ ( produc317566658_a_a_e @ A2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(372,plain,
( ( ! [P2: set_a > $o,P: set_a,Q: ( a > e ) > $o,Q2: a > e] :
( ( P2 @ P )
=> ( ( Q @ Q2 )
=> ( ( P2 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ P @ Q2 ) ) )
& ( Q @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ P @ Q2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(373,plain,
( ( ! [P2: ( a > e ) > set_a > $o,Y3: a > e,X3: set_a] :
( ( P2 @ Y3 @ X3 )
=> ( P2 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(374,plain,
( ( ! [C2: produc715398134_a_a_e,F: set_a > set_a,G: ( a > e ) > a > e,R2: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ C2 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ F @ G ) @ R2 ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( C2
= ( produc1134456688_a_a_e @ ( F @ X2 ) @ ( G @ Y ) ) )
=> ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(375,plain,
( ( ! [Prod: produc715398134_a_a_e] :
( Prod
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Prod ) @ ( produc317566658_a_a_e @ Prod ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(376,plain,
( ( ! [T2: produc715398134_a_a_e] :
( T2
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ T2 ) @ ( produc317566658_a_a_e @ T2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(377,plain,
( ( ? [X2: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X2 @ top_to1601855068_a_a_e ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(378,plain,
( ( ? [X2: set_a] : ( member_set_a @ X2 @ top_top_set_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(379,plain,
( ( ! [A: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X2 @ A )
=> ( top_to1601855068_a_a_e = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(380,plain,
( ( ! [A: set_set_a] :
( ! [X2: set_a] : ( member_set_a @ X2 @ A )
=> ( top_top_set_set_a = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(381,plain,
( ( ! [P: produc715398134_a_a_e,Q2: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ P )
= ( produc1040928388_a_a_e @ Q2 ) )
=> ( ( ( produc317566658_a_a_e @ P )
= ( produc317566658_a_a_e @ Q2 ) )
=> ( P = Q2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(382,plain,
( ( ! [Prod: produc715398134_a_a_e,Prod2: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ Prod )
= ( produc1040928388_a_a_e @ Prod2 ) )
& ( ( produc317566658_a_a_e @ Prod )
= ( produc317566658_a_a_e @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(383,plain,
( ( ( ^ [Y2: produc715398134_a_a_e,Z: produc715398134_a_a_e] : ( Y2 = Z ) )
= ( ^ [S3: produc715398134_a_a_e,T: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ S3 )
= ( produc1040928388_a_a_e @ T ) )
& ( ( produc317566658_a_a_e @ S3 )
= ( produc317566658_a_a_e @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(384,plain,
( ( ! [B2: a > e,P: produc715398134_a_a_e] :
( ( B2
= ( produc317566658_a_a_e @ P ) )
= ( ? [A3: set_a] :
( P
= ( produc1134456688_a_a_e @ A3 @ B2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(385,plain,
( ( ! [X1: set_a,X22: a > e] :
( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(386,plain,
( ( ! [X3: set_a,Y3: a > e,A2: a > e] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= A2 )
=> ( Y3 = A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(387,plain,
( ( ! [X3: produc715398134_a_a_e,Y3: set_a,Z2: a > e] :
( ( X3
= ( produc1134456688_a_a_e @ Y3 @ Z2 ) )
=> ( ( produc317566658_a_a_e @ X3 )
= Z2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(388,plain,
( ( ! [A: set_a] : ( ord_less_eq_set_a @ A @ top_top_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(389,plain,
( ( ! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ top_top_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(390,plain,
( ( ! [A2: set_a] :
( ( ord_less_eq_set_a @ top_top_set_a @ A2 )
= ( A2 = top_top_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(391,plain,
( ( ! [A2: set_a] :
( ( ord_less_eq_set_a @ top_top_set_a @ A2 )
=> ( A2 = top_top_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(392,plain,
( ( ! [F: produc715398134_a_a_e > set_a,G: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ( ( ( image_64240033_set_a @ G @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ( ( image_2101504031_set_a @ ( produc387505142_set_a @ F @ G ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(393,plain,
( ( ! [F: produc715398134_a_a_e > set_a,Y3: set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ? [X2: produc715398134_a_a_e] :
( Y3
= ( F @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(394,plain,
( ( ! [F: produc715398134_a_a_e > set_a,Y3: set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ~ ! [X2: produc715398134_a_a_e] :
( Y3
!= ( F @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(395,plain,
( ( ! [G: produc715398134_a_a_e > set_a,F: set_a > produc715398134_a_a_e] :
( ! [X2: set_a] :
( ( G @ ( F @ X2 ) )
= X2 )
=> ( ( image_64240033_set_a @ G @ top_to1601855068_a_a_e )
= top_top_set_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(396,plain,
( ( ! [F: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= ( ! [Y4: set_a] :
? [X4: produc715398134_a_a_e] :
( Y4
= ( F @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(397,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ top_to1601855068_a_a_e ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(398,plain,
( ( ! [F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e] : ( member_set_a @ ( F @ X3 ) @ ( image_64240033_set_a @ F @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(399,plain,
( ( ( image_64240033_set_a @ produc1040928388_a_a_e @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(400,plain,
( ( ! [X3: produc715398134_a_a_e] :
( ( produc1809800494_set_a @ ( produc755714512_a_a_e @ X3 ) )
= ( produc1040928388_a_a_e @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(401,plain,
( ( ! [X3: produc1965228714_set_a] :
( ( produc1040928388_a_a_e @ ( produc100464700_set_a @ X3 ) )
= ( produc1809800494_set_a @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(402,plain,
( ( ! [Prod: produc715398134_a_a_e] :
( ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Prod ) @ ( produc317566658_a_a_e @ Prod ) )
= Prod ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(403,plain,
( ( ! [F: set_a > set_a,G: ( a > e ) > a > e,X3: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ ( produc1443219402_e_a_e @ F @ G @ X3 ) )
= ( F @ ( produc1040928388_a_a_e @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(404,plain,
( ( ! [F: set_a > set_a,G: ( a > e ) > a > e,A2: set_a,B2: a > e] :
( ( produc1443219402_e_a_e @ F @ G @ ( produc1134456688_a_a_e @ A2 @ B2 ) )
= ( produc1134456688_a_a_e @ ( F @ A2 ) @ ( G @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(405,plain,
( ( ! [X3: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X3 @ top_to1601855068_a_a_e ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(406,plain,
( ( ! [X3: set_a] : ( member_set_a @ X3 @ top_top_set_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(407,plain,
( ( ! [A2: set_a,B2: a > e,R2: set_Pr204296108_a_a_e,F: set_a > set_a,G: ( a > e ) > a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R2 )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( F @ A2 ) @ ( G @ B2 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ F @ G ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(408,plain,
( ( produc755714512_a_a_e
= ( ^ [P3: produc715398134_a_a_e] : ( produc479206876_set_a @ ( produc317566658_a_a_e @ P3 ) @ ( produc1040928388_a_a_e @ P3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(409,plain,
( ( produc100464700_set_a
= ( ^ [P3: produc1965228714_set_a] : ( produc1134456688_a_a_e @ ( produc1809800494_set_a @ P3 ) @ ( produc385678576_set_a @ P3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(410,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ ( converse_a_e_set_a @ R ) )
=> ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(411,plain,
( ( ! [A2: a > e,B2: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ ( converse_set_a_a_e @ R ) )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(412,plain,
( ( ! [Yx: produc715398134_a_a_e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ Yx @ ( converse_a_e_set_a @ R ) )
=> ~ ! [X2: a > e,Y: set_a] :
( ( Yx
= ( produc1134456688_a_a_e @ Y @ X2 ) )
=> ~ ( member360729153_set_a @ ( produc479206876_set_a @ X2 @ Y ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(413,plain,
( ( ! [Yx: produc1965228714_set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ Yx @ ( converse_set_a_a_e @ R ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( Yx
= ( produc479206876_set_a @ Y @ X2 ) )
=> ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(414,plain,
( ( ! [A1: set_a,A22: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A1 @ A22 ) @ ( converse_a_e_set_a @ R ) )
=> ( member360729153_set_a @ ( produc479206876_set_a @ A22 @ A1 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(415,plain,
( ( ! [A1: a > e,A22: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A1 @ A22 ) @ ( converse_set_a_a_e @ R ) )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A22 @ A1 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(416,plain,
( ( ! [A1: set_a,A22: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A1 @ A22 ) @ ( converse_a_e_set_a @ R ) )
= ( ? [A3: a > e,B3: set_a] :
( ( A1 = B3 )
& ( A22 = A3 )
& ( member360729153_set_a @ ( produc479206876_set_a @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(417,plain,
( ( ! [A1: a > e,A22: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A1 @ A22 ) @ ( converse_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A1 = B3 )
& ( A22 = A3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(418,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ ( converse_set_a_a_e @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(419,plain,
( ( ! [A2: a > e,B2: set_a,R: set_Pr305929312_set_a] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ R )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ ( converse_a_e_set_a @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(420,plain,
( ( ! [X1: set_a,X22: a > e,R: set_Pr305929312_set_a,P2: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) @ ( converse_a_e_set_a @ R ) )
=> ( ! [A6: a > e,B6: set_a] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A6 @ B6 ) @ R )
=> ( P2 @ B6 @ A6 ) )
=> ( P2 @ X1 @ X22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(421,plain,
( ( ! [X1: a > e,X22: set_a,R: set_Pr204296108_a_a_e,P2: ( a > e ) > set_a > $o] :
( ( member360729153_set_a @ ( produc479206876_set_a @ X1 @ X22 ) @ ( converse_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ B6 @ A6 ) )
=> ( P2 @ X1 @ X22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(422,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ ( converse_a_e_set_a @ R ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(423,plain,
( ( ! [A2: a > e,B2: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ ( converse_set_a_a_e @ R ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(424,plain,
( ( ! [X3: set_a,Y3: a > e] :
( ( produc755714512_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= ( produc479206876_set_a @ Y3 @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(425,plain,
( ( ! [X3: a > e,Y3: set_a] :
( ( produc100464700_set_a @ ( produc479206876_set_a @ X3 @ Y3 ) )
= ( produc1134456688_a_a_e @ Y3 @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(426,plain,
( ( ! [Y3: set_a,X3: a > e,A: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ Y3 @ X3 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ A ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ X3 @ Y3 ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(427,plain,
( ( ! [Y3: a > e,X3: set_a,A: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ Y3 @ X3 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ A ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(428,plain,
( ( ! [X3: set_a,R: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ( member_set_a @ X3 @ ( domain_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ A6 ) )
=> ( P2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(429,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(430,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A2 = A3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(431,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
=> ~ ! [B6: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B6 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(432,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
= ( ? [Y4: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ Y4 ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(433,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
=> ~ ! [B6: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B6 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(434,plain,
( ( ! [X3: a > e,R: set_Pr204296108_a_a_e,P2: ( a > e ) > $o] :
( ( member_a_e @ X3 @ ( range_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ B6 ) )
=> ( P2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(435,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member_a_e @ B2 @ ( range_set_a_a_e @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(436,plain,
( ( ! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A2 = B3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(437,plain,
( ( ! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
=> ~ ! [A6: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ A2 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(438,plain,
( ( ! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
= ( ? [Y4: set_a] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ Y4 @ A2 ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(439,plain,
( ( ! [B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ B2 @ ( range_set_a_a_e @ R ) )
=> ~ ! [A6: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B2 ) @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(440,plain,
( ( domain_set_a_a_e
= ( image_64240033_set_a @ produc1040928388_a_a_e ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(441,plain,
( ( ! [R2: set_Pr204296108_a_a_e] :
( ( image_64240033_set_a @ produc1040928388_a_a_e @ R2 )
= ( domain_set_a_a_e @ R2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(442,plain,
( ( ! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( produc952037978_a_e_o @ F @ A2 @ B2 )
=> ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(443,plain,
( ( ! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( produc952037978_a_e_o @ F @ A2 @ B2 )
=> ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(444,plain,
( ( ! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) )
=> ( produc952037978_a_e_o @ F @ A2 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(445,plain,
( ( ord_less_eq_o_set_a
= ( ^ [X5: $o > set_a,Y6: $o > set_a] :
( ( ord_less_eq_set_a @ ( X5 @ $false ) @ ( Y6 @ $false ) )
& ( ord_less_eq_set_a @ ( X5 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(446,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ( image_64240033_set_a @ F @ A )
= B )
=> ( ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( pow_Pr328302361_a_a_e @ A ) )
= ( pow_set_a @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(447,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( pow_a @ A ) @ ( pow_a @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(448,plain,
( ( ! [A: set_a,B: set_a] :
( ( member_set_a @ A @ ( pow_a @ B ) )
=> ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(449,plain,
( ( ! [A: set_a] : ( member_set_a @ A @ ( pow_a @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(450,plain,
( ( ! [A: set_a,B: set_a] :
( ( member_set_a @ A @ ( pow_a @ B ) )
= ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(451,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( member_set_a @ A @ ( pow_a @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(452,plain,
( ( ! [R: set_a,S: a > e,R2: set_Pr204296108_a_a_e,S2: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ R @ S ) @ R2 )
=> ( ( S2 = S )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ R @ S2 ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(453,plain,
( ( ! [R: set_Pr204296108_a_a_e,S: set_Pr204296108_a_a_e] :
( ! [X2: set_a,Y: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ S ) )
=> ( ord_le700723212_a_a_e @ R @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(454,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C3: produc715398134_a_a_e > set_a,D: produc715398134_a_a_e > set_a,Inf: set_set_a > set_a] :
( ( A = B )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ B )
=> ( ( C3 @ X2 )
= ( D @ X2 ) ) )
=> ( ( Inf @ ( image_64240033_set_a @ C3 @ A ) )
= ( Inf @ ( image_64240033_set_a @ D @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(455,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C3: produc715398134_a_a_e > set_a,D: produc715398134_a_a_e > set_a,Sup: set_set_a > set_a] :
( ( A = B )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ B )
=> ( ( C3 @ X2 )
= ( D @ X2 ) ) )
=> ( ( Sup @ ( image_64240033_set_a @ C3 @ A ) )
= ( Sup @ ( image_64240033_set_a @ D @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(456,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
=> ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( pow_Pr328302361_a_a_e @ A ) ) @ ( pow_set_a @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(457,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ( ord_less_eq_set_a @ A @ B )
| ( ord_less_eq_set_a @ B @ A ) )
=> ( ~ ( member_a @ X3 @ A )
=> ( ( member_a @ X3 @ B )
=> ( ord_less_eq_set_a @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(458,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ A @ B )
| ( ord_le700723212_a_a_e @ B @ A ) )
=> ( ~ ( member1258382221_a_a_e @ X3 @ A )
=> ( ( member1258382221_a_a_e @ X3 @ B )
=> ( ord_le700723212_a_a_e @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(459,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ( ord_le318720350_set_a @ A @ B )
| ( ord_le318720350_set_a @ B @ A ) )
=> ( ~ ( member_set_a @ X3 @ A )
=> ( ( member_set_a @ X3 @ B )
=> ( ord_le318720350_set_a @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(460,plain,
( ( ! [A: set_a,B: set_a] :
( ( A != B )
=> ( ( ord_less_eq_set_a @ B @ A )
=> ? [X2: a] :
( ( member_a @ X2 @ A )
& ~ ( member_a @ X2 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(461,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ( A != B )
=> ( ( ord_le700723212_a_a_e @ B @ A )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ~ ( member1258382221_a_a_e @ X2 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(462,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ( A != B )
=> ( ( ord_le318720350_set_a @ B @ A )
=> ? [X2: set_a] :
( ( member_set_a @ X2 @ A )
& ~ ( member_set_a @ X2 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(463,plain,
( ( ! [A: set_a] : ( ord_less_eq_set_a @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(464,plain,
( ( ! [A: set_a,B: set_a] :
( ~ ( ord_less_eq_set_a @ A @ B )
=> ? [X2: a] :
( ( member_a @ X2 @ A )
& ~ ( member_a @ X2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(465,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ A @ B )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ~ ( member1258382221_a_a_e @ X2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(466,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ~ ( ord_le318720350_set_a @ A @ B )
=> ? [X2: set_a] :
( ( member_set_a @ X2 @ A )
& ~ ( member_set_a @ X2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(467,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ~ ( member_a @ X3 @ A )
=> ( ( member_a @ X3 @ B )
=> ( A != B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(468,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ~ ( member1258382221_a_a_e @ X3 @ A )
=> ( ( member1258382221_a_a_e @ X3 @ B )
=> ( A != B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(469,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ~ ( member_set_a @ X3 @ A )
=> ( ( member_set_a @ X3 @ B )
=> ( A != B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(470,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,B: set_Pr204296108_a_a_e,A2: produc715398134_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ( member1258382221_a_a_e @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_625620211_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(471,plain,
( ( ! [A: set_set_a,F: set_a > produc715398134_a_a_e,B: set_Pr204296108_a_a_e,A2: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ( member_set_a @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_210900495_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(472,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,B: set_set_a,A2: produc715398134_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ( member1258382221_a_a_e @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_64240033_set_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(473,plain,
( ( ! [A: set_set_a,F: set_a > set_a,B: set_set_a,A2: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ( member_set_a @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_set_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(474,plain,
( ( ! [A2: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_625620211_a_a_e @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(475,plain,
( ( ! [A2: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_64240033_set_a @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(476,plain,
( ( ! [A2: set_a,A: set_set_a,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_210900495_a_a_e @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(477,plain,
( ( ! [A2: set_a,A: set_set_a,F: set_a > set_a] :
( ( member_set_a @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_set_a_set_a @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(478,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ( B2
= ( F @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(479,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ C2 @ A2 )
=> ( ord_less_eq_set_a @ C2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(480,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ A2 @ C2 )
=> ( ord_less_eq_set_a @ B2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(481,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( finite_Fpow_a @ A ) @ ( finite_Fpow_a @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(482,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ( ord_less_eq_set_a @ A @ B )
| ( ord_less_eq_set_a @ B @ A ) )
=> ( ( member_a @ X3 @ A )
=> ( ~ ( member_a @ X3 @ B )
=> ( ord_less_eq_set_a @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(483,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ A @ B )
| ( ord_le700723212_a_a_e @ B @ A ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( ~ ( member1258382221_a_a_e @ X3 @ B )
=> ( ord_le700723212_a_a_e @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(484,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ( ord_le318720350_set_a @ A @ B )
| ( ord_le318720350_set_a @ B @ A ) )
=> ( ( member_set_a @ X3 @ A )
=> ( ~ ( member_set_a @ X3 @ B )
=> ( ord_le318720350_set_a @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(485,plain,
( ( ! [A: set_a,B: set_a] :
( ( A = B )
=> ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(486,plain,
( ( ! [A: set_a,B: set_a] :
( ~ ( ord_less_eq_set_a @ A @ B )
=> ? [A6: a] :
( ( member_a @ A6 @ A )
& ~ ( member_a @ A6 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(487,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ A @ B )
=> ? [A6: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ A6 @ A )
& ~ ( member1258382221_a_a_e @ A6 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(488,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ~ ( ord_le318720350_set_a @ A @ B )
=> ? [A6: set_a] :
( ( member_set_a @ A6 @ A )
& ~ ( member_set_a @ A6 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(489,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
=> ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( finite33065488_a_a_e @ A ) ) @ ( finite_Fpow_set_a @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(490,plain,
( ( ! [P2: produc715398134_a_a_e > $o,P: produc715398134_a_a_e] :
( ! [A6: set_a,B6: a > e] : ( P2 @ ( produc1134456688_a_a_e @ A6 @ B6 ) )
=> ( P2 @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(491,plain,
( ( ! [A2: set_a,B2: a > e,A5: set_a,B5: a > e] :
( ( ( produc1134456688_a_a_e @ A2 @ B2 )
= ( produc1134456688_a_a_e @ A5 @ B5 ) )
=> ~ ( ( A2 = A5 )
=> ( B2 != B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(492,plain,
( ( ! [Y3: produc715398134_a_a_e] :
~ ! [A6: set_a,B6: a > e] :
( Y3
!= ( produc1134456688_a_a_e @ A6 @ B6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(493,plain,
( ( ! [P2: produc715398134_a_a_e > $o,Prod: produc715398134_a_a_e] :
( ! [A6: set_a,B6: a > e] : ( P2 @ ( produc1134456688_a_a_e @ A6 @ B6 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(494,plain,
( ( ! [P2: set_a > $o,X3: set_a,Q: set_a > $o] :
( ( P2 @ X3 )
=> ( ! [Y: set_a] :
( ( P2 @ Y )
=> ( ord_less_eq_set_a @ Y @ X3 ) )
=> ( ! [X2: set_a] :
( ( P2 @ X2 )
=> ( ! [Y5: set_a] :
( ( P2 @ Y5 )
=> ( ord_less_eq_set_a @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_Greatest_set_a @ P2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(495,plain,
( ( ! [P2: set_a > $o,X3: set_a] :
( ( P2 @ X3 )
=> ( ! [Y: set_a] :
( ( P2 @ Y )
=> ( ord_less_eq_set_a @ Y @ X3 ) )
=> ( ( order_Greatest_set_a @ P2 )
= X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(496,plain,
( ( ! [F: a > a,A: set_a,P2: set_a > $o] :
( ( ! [B4: set_a] :
( ( ord_less_eq_set_a @ B4 @ ( image_a_a @ F @ A ) )
=> ( P2 @ B4 ) ) )
= ( ! [B4: set_a] :
( ( ord_less_eq_set_a @ B4 @ A )
=> ( P2 @ ( image_a_a @ F @ B4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(497,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_set_a > $o] :
( ( ! [B4: set_set_a] :
( ( ord_le318720350_set_a @ B4 @ ( image_64240033_set_a @ F @ A ) )
=> ( P2 @ B4 ) ) )
= ( ! [B4: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B4 @ A )
=> ( P2 @ ( image_64240033_set_a @ F @ B4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(498,plain,
( ( ! [X3: produc715398134_a_a_e,Y3: set_a,Z2: a > e] :
( ( X3
= ( produc1134456688_a_a_e @ Y3 @ Z2 ) )
=> ( ( produc1040928388_a_a_e @ X3 )
= Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(499,plain,
( ( ! [X3: set_a,Y3: a > e,A2: set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= A2 )
=> ( X3 = A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(500,plain,
( ( ! [X1: set_a,X22: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(501,plain,
( ( ! [A2: set_a,P: produc715398134_a_a_e] :
( ( A2
= ( produc1040928388_a_a_e @ P ) )
= ( ? [B3: a > e] :
( P
= ( produc1134456688_a_a_e @ A2 @ B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(502,plain,
( ( ! [A2: set_a,B2: a > e,A5: set_a,B5: a > e] :
( ( ( produc1134456688_a_a_e @ A2 @ B2 )
= ( produc1134456688_a_a_e @ A5 @ B5 ) )
= ( ( A2 = A5 )
& ( B2 = B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(503,plain,
( ( ! [X1: set_a,X22: a > e,Y1: set_a,Y22: a > e] :
( ( ( produc1134456688_a_a_e @ X1 @ X22 )
= ( produc1134456688_a_a_e @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(504,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( member_a @ X3 @ A )
=> ( member_a @ X3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(505,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ X3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(506,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( member_set_a @ X3 @ A )
=> ( member_set_a @ X3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(507,plain,
( ( ! [A: set_a,B: set_a,C2: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( member_a @ C2 @ A )
=> ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(508,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C2: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( member1258382221_a_a_e @ C2 @ A )
=> ( member1258382221_a_a_e @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(509,plain,
( ( ! [A: set_set_a,B: set_set_a,C2: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( member_set_a @ C2 @ A )
=> ( member_set_a @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(510,plain,
( ( ! [A: set_a,B: set_a] :
( ( A = B )
=> ~ ( ( ord_less_eq_set_a @ A @ B )
=> ~ ( ord_less_eq_set_a @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(511,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B4: set_a] :
! [X4: a] :
( ( member_a @ X4 @ A4 )
=> ( member_a @ X4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(512,plain,
( ( ord_le700723212_a_a_e
= ( ^ [A4: set_Pr204296108_a_a_e,B4: set_Pr204296108_a_a_e] :
! [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A4 )
=> ( member1258382221_a_a_e @ X4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(513,plain,
( ( ord_le318720350_set_a
= ( ^ [A4: set_set_a,B4: set_set_a] :
! [X4: set_a] :
( ( member_set_a @ X4 @ A4 )
=> ( member_set_a @ X4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(514,plain,
( ( ! [A: set_a,B: set_a] :
( ( A = B )
=> ( ord_less_eq_set_a @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(515,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B4: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(516,plain,
( ( ord_le700723212_a_a_e
= ( ^ [A4: set_Pr204296108_a_a_e,B4: set_Pr204296108_a_a_e] :
! [T: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ T @ A4 )
=> ( member1258382221_a_a_e @ T @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(517,plain,
( ( ord_le318720350_set_a
= ( ^ [A4: set_set_a,B4: set_set_a] :
! [T: set_a] :
( ( member_set_a @ T @ A4 )
=> ( member_set_a @ T @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(518,plain,
( ( ! [P2: a > $o,Q: a > $o] :
( ! [X2: a] :
( ( P2 @ X2 )
=> ( Q @ X2 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P2 ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(519,plain,
( ( ! [A: set_a,B: set_a,C3: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( ord_less_eq_set_a @ B @ C3 )
=> ( ord_less_eq_set_a @ A @ C3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(520,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A4: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ A4 @ B4 )
& ( ord_less_eq_set_a @ B4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(521,plain,
( ( ! [P2: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P2 ) @ ( collect_a @ Q ) )
= ( ! [X4: a] :
( ( P2 @ X4 )
=> ( Q @ X4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(522,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ ( F @ X3 ) @ ( image_625620211_a_a_e @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(523,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( member_set_a @ ( F @ X3 ) @ ( image_64240033_set_a @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(524,plain,
( ( ! [X3: set_a,A: set_set_a,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ ( F @ X3 ) @ ( image_210900495_a_a_e @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(525,plain,
( ( ! [X3: set_a,A: set_set_a,F: set_a > set_a] :
( ( member_set_a @ X3 @ A )
=> ( member_set_a @ ( F @ X3 ) @ ( image_set_a_set_a @ F @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(526,plain,
( ( ! [Z2: set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( member_set_a @ Z2 @ ( image_64240033_set_a @ F @ A ) )
= ( ? [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A )
& ( Z2
= ( F @ X4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(527,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ? [X: set_a] :
( ( member_set_a @ X @ ( image_64240033_set_a @ F @ A ) )
& ( P2 @ X ) )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ( P2 @ ( F @ X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(528,plain,
( ( ! [M: set_Pr204296108_a_a_e,N: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,G: produc715398134_a_a_e > set_a] :
( ( M = N )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ N )
=> ( ( F @ X2 )
= ( G @ X2 ) ) )
=> ( ( image_64240033_set_a @ F @ M )
= ( image_64240033_set_a @ G @ N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(529,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ F @ A ) )
=> ( P2 @ X2 ) )
=> ! [X: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X @ A )
=> ( P2 @ ( F @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(530,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,B2: produc715398134_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member1258382221_a_a_e @ B2 @ ( image_625620211_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(531,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,B2: set_a,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(532,plain,
( ( ! [X3: set_a,A: set_set_a,B2: produc715398134_a_a_e,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member1258382221_a_a_e @ B2 @ ( image_210900495_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(533,plain,
( ( ! [X3: set_a,A: set_set_a,B2: set_a,F: set_a > set_a] :
( ( member_set_a @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_set_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(534,plain,
( ( ! [A: set_Pr204296108_a_a_e] :
( ( collec1369693387_a_a_e
@ ^ [X4: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X4 @ A ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(535,plain,
( ( ! [A: set_set_a] :
( ( collect_set_a
@ ^ [X4: set_a] : ( member_set_a @ X4 @ A ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(536,plain,
( ( ! [A2: produc715398134_a_a_e,P2: produc715398134_a_a_e > $o] :
( ( member1258382221_a_a_e @ A2 @ ( collec1369693387_a_a_e @ P2 ) )
= ( P2 @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(537,plain,
( ( ! [A2: set_a,P2: set_a > $o] :
( ( member_set_a @ A2 @ ( collect_set_a @ P2 ) )
= ( P2 @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(538,plain,
( ( ! [A2: set_a,F: set_a > set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(539,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(540,plain,
( ( ! [A2: set_a,F: set_a > set_a,B2: set_a,C2: set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(541,plain,
( ( ! [A2: $o > set_a,F: ( $o > set_a ) > $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(542,plain,
( ( ! [A2: set_set_set_a,F: ( $o > set_a ) > set_set_set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(543,plain,
( ( ! [A2: set_set_a,F: ( $o > set_a ) > set_set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(544,plain,
( ( ! [A2: set_Pr204296108_a_a_e,F: ( $o > set_a ) > set_Pr204296108_a_a_e,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le700723212_a_a_e @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le700723212_a_a_e @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(545,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > $o > set_a,C2: $o > set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(546,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_set_set_a,C2: set_set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(547,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,F: ( $o > set_a ) > set_a,C2: set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(548,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,F: set_set_set_a > set_a,C2: set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_set_a,Y: set_set_set_a] :
( ( ord_le2103863998_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(549,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(550,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(551,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_set_set_a,C2: set_set_set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(552,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_a,C2: set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(553,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_set_a,C2: set_set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(554,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(555,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_a,Y4: set_a] :
( ( ord_less_eq_set_a @ X4 @ Y4 )
& ( ord_less_eq_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(556,plain,
( ( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [X4: $o > set_a,Y4: $o > set_a] :
( ( ord_less_eq_o_set_a @ X4 @ Y4 )
& ( ord_less_eq_o_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(557,plain,
( ( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_set_set_a,Y4: set_set_set_a] :
( ( ord_le2103863998_set_a @ X4 @ Y4 )
& ( ord_le2103863998_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(558,plain,
( ( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_set_a,Y4: set_set_a] :
( ( ord_le318720350_set_a @ X4 @ Y4 )
& ( ord_le318720350_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(559,plain,
( ( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [X4: set_Pr204296108_a_a_e,Y4: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X4 @ Y4 )
& ( ord_le700723212_a_a_e @ Y4 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(560,plain,
( ( ! [X3: set_a,Y3: set_a] :
( ( ord_less_eq_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(561,plain,
( ( ! [X3: $o > set_a,Y3: $o > set_a] :
( ( ord_less_eq_o_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_o_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(562,plain,
( ( ! [X3: set_set_set_a,Y3: set_set_set_a] :
( ( ord_le2103863998_set_a @ X3 @ Y3 )
=> ( ( ord_le2103863998_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(563,plain,
( ( ! [X3: set_set_a,Y3: set_set_a] :
( ( ord_le318720350_set_a @ X3 @ Y3 )
=> ( ( ord_le318720350_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(564,plain,
( ( ! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X3 @ Y3 )
=> ( ( ord_le700723212_a_a_e @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(565,plain,
( ( ! [X3: set_a,Y3: set_a] :
( ( X3 = Y3 )
=> ( ord_less_eq_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(566,plain,
( ( ! [X3: $o > set_a,Y3: $o > set_a] :
( ( X3 = Y3 )
=> ( ord_less_eq_o_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(567,plain,
( ( ! [X3: set_set_set_a,Y3: set_set_set_a] :
( ( X3 = Y3 )
=> ( ord_le2103863998_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(568,plain,
( ( ! [X3: set_set_a,Y3: set_set_a] :
( ( X3 = Y3 )
=> ( ord_le318720350_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(569,plain,
( ( ! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e] :
( ( X3 = Y3 )
=> ( ord_le700723212_a_a_e @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(570,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(571,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(572,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(573,plain,
( ( ! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ord_le318720350_set_a @ B2 @ C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(574,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(575,plain,
( ( ! [Y3: set_a,X3: set_a] :
( ( ord_less_eq_set_a @ Y3 @ X3 )
=> ( ( ord_less_eq_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(576,plain,
( ( ! [Y3: $o > set_a,X3: $o > set_a] :
( ( ord_less_eq_o_set_a @ Y3 @ X3 )
=> ( ( ord_less_eq_o_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(577,plain,
( ( ! [Y3: set_set_set_a,X3: set_set_set_a] :
( ( ord_le2103863998_set_a @ Y3 @ X3 )
=> ( ( ord_le2103863998_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(578,plain,
( ( ! [Y3: set_set_a,X3: set_set_a] :
( ( ord_le318720350_set_a @ Y3 @ X3 )
=> ( ( ord_le318720350_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(579,plain,
( ( ! [Y3: set_Pr204296108_a_a_e,X3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ Y3 @ X3 )
=> ( ( ord_le700723212_a_a_e @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(580,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
& ( ord_less_eq_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(581,plain,
( ( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [A3: $o > set_a,B3: $o > set_a] :
( ( ord_less_eq_o_set_a @ A3 @ B3 )
& ( ord_less_eq_o_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(582,plain,
( ( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_set_a,B3: set_set_set_a] :
( ( ord_le2103863998_set_a @ A3 @ B3 )
& ( ord_le2103863998_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(583,plain,
( ( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_a,B3: set_set_a] :
( ( ord_le318720350_set_a @ A3 @ B3 )
& ( ord_le318720350_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(584,plain,
( ( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [A3: set_Pr204296108_a_a_e,B3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A3 @ B3 )
& ( ord_le700723212_a_a_e @ B3 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(585,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(586,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(587,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( A2 = B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(588,plain,
( ( ! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( A2 = B2 )
=> ( ( ord_le318720350_set_a @ B2 @ C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(589,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( A2 = B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(590,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(591,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(592,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(593,plain,
( ( ! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(594,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(595,plain,
( ( ! [A2: set_a,B2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(596,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(597,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(598,plain,
( ( ! [A2: set_set_a,B2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(599,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(600,plain,
( ( ! [X3: set_a,Y3: set_a,Z2: set_a] :
( ( ord_less_eq_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_set_a @ Y3 @ Z2 )
=> ( ord_less_eq_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(601,plain,
( ( ! [X3: $o > set_a,Y3: $o > set_a,Z2: $o > set_a] :
( ( ord_less_eq_o_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_o_set_a @ Y3 @ Z2 )
=> ( ord_less_eq_o_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(602,plain,
( ( ! [X3: set_set_set_a,Y3: set_set_set_a,Z2: set_set_set_a] :
( ( ord_le2103863998_set_a @ X3 @ Y3 )
=> ( ( ord_le2103863998_set_a @ Y3 @ Z2 )
=> ( ord_le2103863998_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(603,plain,
( ( ! [X3: set_set_a,Y3: set_set_a,Z2: set_set_a] :
( ( ord_le318720350_set_a @ X3 @ Y3 )
=> ( ( ord_le318720350_set_a @ Y3 @ Z2 )
=> ( ord_le318720350_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(604,plain,
( ( ! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e,Z2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X3 @ Y3 )
=> ( ( ord_le700723212_a_a_e @ Y3 @ Z2 )
=> ( ord_le700723212_a_a_e @ X3 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(605,plain,
( ( ! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(606,plain,
( ( ! [A2: $o > set_a] : ( ord_less_eq_o_set_a @ A2 @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(607,plain,
( ( ! [A2: set_set_set_a] : ( ord_le2103863998_set_a @ A2 @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(608,plain,
( ( ! [A2: set_set_a] : ( ord_le318720350_set_a @ A2 @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(609,plain,
( ( ! [A2: set_Pr204296108_a_a_e] : ( ord_le700723212_a_a_e @ A2 @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(610,plain,
( ( ! [B2: set_a,A2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_set_a @ C2 @ B2 )
=> ( ord_less_eq_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(611,plain,
( ( ! [B2: $o > set_a,A2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_o_set_a @ C2 @ B2 )
=> ( ord_less_eq_o_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(612,plain,
( ( ! [B2: set_set_set_a,A2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( ( ord_le2103863998_set_a @ C2 @ B2 )
=> ( ord_le2103863998_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(613,plain,
( ( ! [B2: set_set_a,A2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( ( ord_le318720350_set_a @ C2 @ B2 )
=> ( ord_le318720350_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(614,plain,
( ( ! [B2: set_Pr204296108_a_a_e,A2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( ( ord_le700723212_a_a_e @ C2 @ B2 )
=> ( ord_le700723212_a_a_e @ C2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(615,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ B3 @ A3 )
& ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(616,plain,
( ( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [A3: $o > set_a,B3: $o > set_a] :
( ( ord_less_eq_o_set_a @ B3 @ A3 )
& ( ord_less_eq_o_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(617,plain,
( ( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_set_a,B3: set_set_set_a] :
( ( ord_le2103863998_set_a @ B3 @ A3 )
& ( ord_le2103863998_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(618,plain,
( ( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_a,B3: set_set_a] :
( ( ord_le318720350_set_a @ B3 @ A3 )
& ( ord_le318720350_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(619,plain,
( ( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [A3: set_Pr204296108_a_a_e,B3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B3 @ A3 )
& ( ord_le700723212_a_a_e @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(620,plain,
( ( ! [B2: set_a,A2: set_a] :
( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(621,plain,
( ( ! [B2: $o > set_a,A2: $o > set_a] :
( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(622,plain,
( ( ! [B2: set_set_set_a,A2: set_set_set_a] :
( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(623,plain,
( ( ! [B2: set_set_a,A2: set_set_a] :
( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(624,plain,
( ( ! [B2: set_Pr204296108_a_a_e,A2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(625,plain,
( ( ! [P: produc715398134_a_a_e] :
? [X2: set_a,Y: a > e] :
( P
= ( produc1134456688_a_a_e @ X2 @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(626,plain,
( ( ! [P: produc1965228714_set_a] :
? [X2: a > e,Y: set_a] :
( P
= ( produc479206876_set_a @ X2 @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(627,plain,
( ( ! [B: set_set_set_a,F: set_set_a > set_set_a,A: set_set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1956910981_set_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_1956910981_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(628,plain,
( ( ! [B: set_set_set_a,F: set_a > set_set_a,A: set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1930509541_set_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_1930509541_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(629,plain,
( ( ! [B: set_set_a,F: set_set_a > set_a,A: set_set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_402591269_set_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_402591269_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(630,plain,
( ( ! [B: set_set_set_a,F: a > set_set_a,A: set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_a_set_set_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_set_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(631,plain,
( ( ! [B: set_set_a,F: set_a > set_a,A: set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_set_a_set_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_set_a_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(632,plain,
( ( ! [B: set_a,F: set_set_a > a,A: set_set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_set_a_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_set_set_a_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(633,plain,
( ( ! [B: set_set_a,F: a > set_a,A: set_a] :
( ( ord_le318720350_set_a @ B @ ( image_a_set_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(634,plain,
( ( ! [B: set_a,F: set_a > a,A: set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_a_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_set_a_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(635,plain,
( ( ! [B: set_set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ B @ ( image_64240033_set_a @ F @ A ) )
= ( ? [AA: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ AA @ A )
& ( B
= ( image_64240033_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(636,plain,
( ( ! [B: set_a,F: a > a,A: set_a] :
( ( ord_less_eq_set_a @ B @ ( image_a_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(637,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
= ( ! [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A )
=> ( member_set_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(638,plain,
( ( ! [F: set_Pr204296108_a_a_e > set_set_a,A: set_se821189730_a_a_e,B: set_set_set_a] :
( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ F @ A ) @ B )
= ( ! [X4: set_Pr204296108_a_a_e] :
( ( member1437121347_a_a_e @ X4 @ A )
=> ( member_set_set_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(639,plain,
( ( ! [F: set_a > set_a,A: set_set_a,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member_set_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(640,plain,
( ( ! [F: set_a > produc715398134_a_a_e,A: set_set_a,B: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member1258382221_a_a_e @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(641,plain,
( ( ! [F: a > a,A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ B )
= ( ! [X4: a] :
( ( member_a @ X4 @ A )
=> ( member_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(642,plain,
( ( ! [F: set_a > a,A: set_set_a,B: set_a] :
( ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(643,plain,
( ( ! [B: set_set_set_a,F: set_set_a > set_set_a,A: set_set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1956910981_set_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_1956910981_set_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(644,plain,
( ( ! [B: set_set_set_a,F: set_a > set_set_a,A: set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1930509541_set_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_1930509541_set_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(645,plain,
( ( ! [B: set_set_a,F: set_set_a > set_a,A: set_set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_402591269_set_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_402591269_set_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(646,plain,
( ( ! [B: set_set_set_a,F: a > set_set_a,A: set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_a_set_set_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_set_set_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(647,plain,
( ( ! [B: set_set_a,F: set_a > set_a,A: set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_set_a_set_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_set_a_set_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(648,plain,
( ( ! [B: set_a,F: set_set_a > a,A: set_set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_set_a_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_set_set_a_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(649,plain,
( ( ! [B: set_set_a,F: a > set_a,A: set_a] :
( ( ord_le318720350_set_a @ B @ ( image_a_set_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_set_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(650,plain,
( ( ! [B: set_a,F: set_a > a,A: set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_a_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_set_a_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(651,plain,
( ( ! [B: set_set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ B @ ( image_64240033_set_a @ F @ A ) )
=> ~ ! [C: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ C @ A )
=> ( B
!= ( image_64240033_set_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(652,plain,
( ( ! [B: set_a,F: a > a,A: set_a] :
( ( ord_less_eq_set_a @ B @ ( image_a_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_a @ F @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(653,plain,
( ( ! [A: set_a_e,F: ( a > e ) > a,B: set_a] :
( ! [X2: a > e] :
( ( member_a_e @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_a_e_a @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(654,plain,
( ( ! [A: set_a,F: a > a > e,B: set_a_e] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a_e @ ( image_a_a_e @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(655,plain,
( ( ! [A: set_a,F: a > set_a,B: set_set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_a_set_a @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(656,plain,
( ( ! [A: set_a,F: a > a,B: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(657,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(658,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,B: set_set_a] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(659,plain,
( ( ! [A: set_set_a,F: set_a > produc715398134_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(660,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > a,B: set_a] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(661,plain,
( ( ! [A: set_set_a,F: set_a > set_a,B: set_set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(662,plain,
( ( ! [A: set_set_a,F: set_a > a,B: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(663,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > set_set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ F @ A ) @ ( image_1956910981_set_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(664,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_402591269_set_a @ F @ A ) @ ( image_402591269_set_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(665,plain,
( ( ! [A: set_set_a,B: set_set_a,F: set_a > set_set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ F @ A ) @ ( image_1930509541_set_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(666,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_set_set_a_a @ F @ A ) @ ( image_set_set_a_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(667,plain,
( ( ! [A: set_set_a,B: set_set_a,F: set_a > set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ ( image_set_a_set_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(668,plain,
( ( ! [A: set_a,B: set_a,F: a > set_set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_a_set_set_a @ F @ A ) @ ( image_a_set_set_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(669,plain,
( ( ! [A: set_set_a,B: set_set_a,F: set_a > a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ ( image_set_a_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(670,plain,
( ( ! [A: set_a,B: set_a,F: a > set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_a_set_a @ F @ A ) @ ( image_a_set_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(671,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ ( image_64240033_set_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(672,plain,
( ( ! [A: set_a,B: set_a,F: a > a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ ( image_a_a @ F @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(673,plain,
( ( ! [X3: set_a] : ( ord_less_eq_set_a @ X3 @ X3 ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(674,plain,
( ( ! [X3: $o > set_a] : ( ord_less_eq_o_set_a @ X3 @ X3 ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(675,plain,
( ( ! [X3: set_set_set_a] : ( ord_le2103863998_set_a @ X3 @ X3 ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(676,plain,
( ( ! [X3: set_set_a] : ( ord_le318720350_set_a @ X3 @ X3 ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(677,plain,
( ( ! [X3: set_Pr204296108_a_a_e] : ( ord_le700723212_a_a_e @ X3 @ X3 ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(678,plain,
( ( ! [B2: a > e,F: set_a > a > e,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_a_e @ B2 @ ( image_set_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(679,plain,
( ( ! [B2: a,F: ( a > e ) > a,X3: a > e,A: set_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a_e @ X3 @ A )
=> ( member_a @ B2 @ ( image_a_e_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(680,plain,
( ( ! [B2: a > e,F: a > a > e,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_a_e @ B2 @ ( image_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(681,plain,
( ( ! [B2: set_a,F: a > set_a,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(682,plain,
( ( ! [B2: a,F: set_a > a,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_a @ B2 @ ( image_set_a_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(683,plain,
( ( ! [B2: a,F: a > a,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_a @ B2 @ ( image_a_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(684,plain,
( ( ! [B2: produc715398134_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ B2 @ ( image_625620211_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(685,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(686,plain,
( ( ! [B2: produc715398134_a_a_e,F: set_a > produc715398134_a_a_e,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ B2 @ ( image_210900495_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(687,plain,
( ( ! [B2: set_a,F: set_a > set_a,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_set_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(688,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( ord_less_eq_set_a @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(689,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ( ord_le2103863998_set_a @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(690,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( ord_le318720350_set_a @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(691,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( ord_le700723212_a_a_e @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(692,plain,
( ( ! [A: set_a,B: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a @ X2 @ B ) )
=> ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(693,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ X2 @ B ) )
=> ( ord_le700723212_a_a_e @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(694,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ X2 @ B ) )
=> ( ord_le318720350_set_a @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(695,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a] :
( ! [X2: set_set_a] :
( ( member_set_set_a @ X2 @ A )
=> ( member_set_set_a @ X2 @ B ) )
=> ( ord_le2103863998_set_a @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(696,plain,
( ( ! [A: set_Pr305929312_set_a,B: set_Pr305929312_set_a] :
( ! [X2: produc1965228714_set_a] :
( ( member360729153_set_a @ X2 @ A )
=> ( member360729153_set_a @ X2 @ B ) )
=> ( ord_le802356416_set_a @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(697,plain,
( ( ! [A: set_a_e,B: set_a_e] :
( ! [X2: a > e] :
( ( member_a_e @ X2 @ A )
=> ( member_a_e @ X2 @ B ) )
=> ( ord_less_eq_set_a_e @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(698,plain,
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a3 @ b3 ) @ c )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(699,plain,
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a2 @ b2 ) @ c )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(700,plain,
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a1 @ b1 ) @ c )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(701,plain,
( ( member_set_a @ a1 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(702,plain,
( ( member_set_a @ a2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(703,plain,
( ( member_set_a @ a3 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(704,plain,
( ( ( ord_less_eq_set_a @ a2 @ a3 )
| ( ord_less_eq_set_a @ a3 @ a2 ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(705,plain,
( ( ( ord_less_eq_set_a @ a1 @ a3 )
| ( ord_less_eq_set_a @ a3 @ a1 ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(706,plain,
( ( ( ord_less_eq_set_a @ a1 @ a2 )
| ( ord_less_eq_set_a @ a2 @ a1 ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(707,plain,
( ( ? [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X2 )
& ( ord_less_eq_set_a @ a2 @ X2 )
& ( ord_less_eq_set_a @ a3 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(708,plain,
( ( ! [X: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X @ c )
=> ! [Xa: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ Xa @ c )
=> ( ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ X ) @ ( produc1040928388_a_a_e @ Xa ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ Xa ) @ ( produc1040928388_a_a_e @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(709,plain,
( ( ! [A7: set_a] :
( ( member_set_a @ A7 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ A7 )
=> ( ( ord_less_eq_set_a @ a2 @ A7 )
=> ( ( ord_less_eq_set_a @ a3 @ A7 )
=> thesis ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(710,plain,
( ( ~ thesis ) = $true ),
inference(polarity_switch,[status(thm)],[356]) ).
thf(711,plain,
( ( ! [A7: set_a] :
( ( member_set_a @ A7 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ A7 )
=> ( ( ord_less_eq_set_a @ a2 @ A7 )
=> ( ( ord_less_eq_set_a @ a3 @ A7 )
=> thesis ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[709]) ).
thf(712,plain,
( ( ! [X: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X @ c )
=> ! [Xa: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ Xa @ c )
=> ( ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ X ) @ ( produc1040928388_a_a_e @ Xa ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ Xa ) @ ( produc1040928388_a_a_e @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[708]) ).
thf(713,plain,
( ( ? [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X2 )
& ( ord_less_eq_set_a @ a2 @ X2 )
& ( ord_less_eq_set_a @ a3 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[707]) ).
thf(714,plain,
( ( ( ord_less_eq_set_a @ a1 @ a2 )
| ( ord_less_eq_set_a @ a2 @ a1 ) )
= $true ),
inference(copy,[status(thm)],[706]) ).
thf(715,plain,
( ( ( ord_less_eq_set_a @ a1 @ a3 )
| ( ord_less_eq_set_a @ a3 @ a1 ) )
= $true ),
inference(copy,[status(thm)],[705]) ).
thf(716,plain,
( ( ( ord_less_eq_set_a @ a2 @ a3 )
| ( ord_less_eq_set_a @ a3 @ a2 ) )
= $true ),
inference(copy,[status(thm)],[704]) ).
thf(717,plain,
( ( member_set_a @ a3 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(copy,[status(thm)],[703]) ).
thf(718,plain,
( ( member_set_a @ a2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(copy,[status(thm)],[702]) ).
thf(719,plain,
( ( member_set_a @ a1 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(copy,[status(thm)],[701]) ).
thf(720,plain,
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a1 @ b1 ) @ c )
= $true ),
inference(copy,[status(thm)],[700]) ).
thf(721,plain,
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a2 @ b2 ) @ c )
= $true ),
inference(copy,[status(thm)],[699]) ).
thf(722,plain,
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ a3 @ b3 ) @ c )
= $true ),
inference(copy,[status(thm)],[698]) ).
thf(723,plain,
( ( ! [A: set_a_e,B: set_a_e] :
( ! [X2: a > e] :
( ( member_a_e @ X2 @ A )
=> ( member_a_e @ X2 @ B ) )
=> ( ord_less_eq_set_a_e @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[697]) ).
thf(724,plain,
( ( ! [A: set_Pr305929312_set_a,B: set_Pr305929312_set_a] :
( ! [X2: produc1965228714_set_a] :
( ( member360729153_set_a @ X2 @ A )
=> ( member360729153_set_a @ X2 @ B ) )
=> ( ord_le802356416_set_a @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[696]) ).
thf(725,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a] :
( ! [X2: set_set_a] :
( ( member_set_set_a @ X2 @ A )
=> ( member_set_set_a @ X2 @ B ) )
=> ( ord_le2103863998_set_a @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[695]) ).
thf(726,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ X2 @ B ) )
=> ( ord_le318720350_set_a @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[694]) ).
thf(727,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ X2 @ B ) )
=> ( ord_le700723212_a_a_e @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[693]) ).
thf(728,plain,
( ( ! [A: set_a,B: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a @ X2 @ B ) )
=> ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[692]) ).
thf(729,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( ord_le700723212_a_a_e @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[691]) ).
thf(730,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( ord_le318720350_set_a @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[690]) ).
thf(731,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ( ord_le2103863998_set_a @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[689]) ).
thf(732,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( ord_less_eq_set_a @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[688]) ).
thf(733,plain,
( ( ! [B2: set_a,F: set_a > set_a,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_set_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[687]) ).
thf(734,plain,
( ( ! [B2: produc715398134_a_a_e,F: set_a > produc715398134_a_a_e,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ B2 @ ( image_210900495_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[686]) ).
thf(735,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[685]) ).
thf(736,plain,
( ( ! [B2: produc715398134_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ B2 @ ( image_625620211_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[684]) ).
thf(737,plain,
( ( ! [B2: a,F: a > a,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_a @ B2 @ ( image_a_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[683]) ).
thf(738,plain,
( ( ! [B2: a,F: set_a > a,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_a @ B2 @ ( image_set_a_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[682]) ).
thf(739,plain,
( ( ! [B2: set_a,F: a > set_a,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_set_a @ B2 @ ( image_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[681]) ).
thf(740,plain,
( ( ! [B2: a > e,F: a > a > e,X3: a,A: set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a @ X3 @ A )
=> ( member_a_e @ B2 @ ( image_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[680]) ).
thf(741,plain,
( ( ! [B2: a,F: ( a > e ) > a,X3: a > e,A: set_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_a_e @ X3 @ A )
=> ( member_a @ B2 @ ( image_a_e_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[679]) ).
thf(742,plain,
( ( ! [B2: a > e,F: set_a > a > e,X3: set_a,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member_a_e @ B2 @ ( image_set_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[678]) ).
thf(743,plain,
( ( ! [X3: set_Pr204296108_a_a_e] : ( ord_le700723212_a_a_e @ X3 @ X3 ) )
= $true ),
inference(copy,[status(thm)],[677]) ).
thf(744,plain,
( ( ! [X3: set_set_a] : ( ord_le318720350_set_a @ X3 @ X3 ) )
= $true ),
inference(copy,[status(thm)],[676]) ).
thf(745,plain,
( ( ! [X3: set_set_set_a] : ( ord_le2103863998_set_a @ X3 @ X3 ) )
= $true ),
inference(copy,[status(thm)],[675]) ).
thf(746,plain,
( ( ! [X3: $o > set_a] : ( ord_less_eq_o_set_a @ X3 @ X3 ) )
= $true ),
inference(copy,[status(thm)],[674]) ).
thf(747,plain,
( ( ! [X3: set_a] : ( ord_less_eq_set_a @ X3 @ X3 ) )
= $true ),
inference(copy,[status(thm)],[673]) ).
thf(748,plain,
( ( ! [A: set_a,B: set_a,F: a > a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ ( image_a_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[672]) ).
thf(749,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ ( image_64240033_set_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[671]) ).
thf(750,plain,
( ( ! [A: set_a,B: set_a,F: a > set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_a_set_a @ F @ A ) @ ( image_a_set_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[670]) ).
thf(751,plain,
( ( ! [A: set_set_a,B: set_set_a,F: set_a > a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ ( image_set_a_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[669]) ).
thf(752,plain,
( ( ! [A: set_a,B: set_a,F: a > set_set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_a_set_set_a @ F @ A ) @ ( image_a_set_set_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[668]) ).
thf(753,plain,
( ( ! [A: set_set_a,B: set_set_a,F: set_a > set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ ( image_set_a_set_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[667]) ).
thf(754,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_less_eq_set_a @ ( image_set_set_a_a @ F @ A ) @ ( image_set_set_a_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[666]) ).
thf(755,plain,
( ( ! [A: set_set_a,B: set_set_a,F: set_a > set_set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ F @ A ) @ ( image_1930509541_set_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[665]) ).
thf(756,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( image_402591269_set_a @ F @ A ) @ ( image_402591269_set_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[664]) ).
thf(757,plain,
( ( ! [A: set_set_set_a,B: set_set_set_a,F: set_set_a > set_set_a] :
( ( ord_le2103863998_set_a @ A @ B )
=> ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ F @ A ) @ ( image_1956910981_set_a @ F @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[663]) ).
thf(758,plain,
( ( ! [A: set_set_a,F: set_a > a,B: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[662]) ).
thf(759,plain,
( ( ! [A: set_set_a,F: set_a > set_a,B: set_set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[661]) ).
thf(760,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > a,B: set_a] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[660]) ).
thf(761,plain,
( ( ! [A: set_set_a,F: set_a > produc715398134_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[659]) ).
thf(762,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,B: set_set_a] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[658]) ).
thf(763,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,B: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[657]) ).
thf(764,plain,
( ( ! [A: set_a,F: a > a,B: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[656]) ).
thf(765,plain,
( ( ! [A: set_a,F: a > set_a,B: set_set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ord_le318720350_set_a @ ( image_a_set_a @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[655]) ).
thf(766,plain,
( ( ! [A: set_a,F: a > a > e,B: set_a_e] :
( ! [X2: a] :
( ( member_a @ X2 @ A )
=> ( member_a_e @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a_e @ ( image_a_a_e @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[654]) ).
thf(767,plain,
( ( ! [A: set_a_e,F: ( a > e ) > a,B: set_a] :
( ! [X2: a > e] :
( ( member_a_e @ X2 @ A )
=> ( member_a @ ( F @ X2 ) @ B ) )
=> ( ord_less_eq_set_a @ ( image_a_e_a @ F @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[653]) ).
thf(768,plain,
( ( ! [B: set_a,F: a > a,A: set_a] :
( ( ord_less_eq_set_a @ B @ ( image_a_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[652]) ).
thf(769,plain,
( ( ! [B: set_set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ B @ ( image_64240033_set_a @ F @ A ) )
=> ~ ! [C: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ C @ A )
=> ( B
!= ( image_64240033_set_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[651]) ).
thf(770,plain,
( ( ! [B: set_a,F: set_a > a,A: set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_a_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_set_a_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[650]) ).
thf(771,plain,
( ( ! [B: set_set_a,F: a > set_a,A: set_a] :
( ( ord_le318720350_set_a @ B @ ( image_a_set_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_set_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[649]) ).
thf(772,plain,
( ( ! [B: set_a,F: set_set_a > a,A: set_set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_set_a_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_set_set_a_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[648]) ).
thf(773,plain,
( ( ! [B: set_set_a,F: set_a > set_a,A: set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_set_a_set_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_set_a_set_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[647]) ).
thf(774,plain,
( ( ! [B: set_set_set_a,F: a > set_set_a,A: set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_a_set_set_a @ F @ A ) )
=> ~ ! [C: set_a] :
( ( ord_less_eq_set_a @ C @ A )
=> ( B
!= ( image_a_set_set_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[646]) ).
thf(775,plain,
( ( ! [B: set_set_a,F: set_set_a > set_a,A: set_set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_402591269_set_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_402591269_set_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[645]) ).
thf(776,plain,
( ( ! [B: set_set_set_a,F: set_a > set_set_a,A: set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1930509541_set_a @ F @ A ) )
=> ~ ! [C: set_set_a] :
( ( ord_le318720350_set_a @ C @ A )
=> ( B
!= ( image_1930509541_set_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[644]) ).
thf(777,plain,
( ( ! [B: set_set_set_a,F: set_set_a > set_set_a,A: set_set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1956910981_set_a @ F @ A ) )
=> ~ ! [C: set_set_set_a] :
( ( ord_le2103863998_set_a @ C @ A )
=> ( B
!= ( image_1956910981_set_a @ F @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[643]) ).
thf(778,plain,
( ( ! [F: set_a > a,A: set_set_a,B: set_a] :
( ( ord_less_eq_set_a @ ( image_set_a_a @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[642]) ).
thf(779,plain,
( ( ! [F: a > a,A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ ( image_a_a @ F @ A ) @ B )
= ( ! [X4: a] :
( ( member_a @ X4 @ A )
=> ( member_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[641]) ).
thf(780,plain,
( ( ! [F: set_a > produc715398134_a_a_e,A: set_set_a,B: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member1258382221_a_a_e @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[640]) ).
thf(781,plain,
( ( ! [F: set_a > set_a,A: set_set_a,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_set_a_set_a @ F @ A ) @ B )
= ( ! [X4: set_a] :
( ( member_set_a @ X4 @ A )
=> ( member_set_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[639]) ).
thf(782,plain,
( ( ! [F: set_Pr204296108_a_a_e > set_set_a,A: set_se821189730_a_a_e,B: set_set_set_a] :
( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ F @ A ) @ B )
= ( ! [X4: set_Pr204296108_a_a_e] :
( ( member1437121347_a_a_e @ X4 @ A )
=> ( member_set_set_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[638]) ).
thf(783,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
= ( ! [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A )
=> ( member_set_a @ ( F @ X4 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[637]) ).
thf(784,plain,
( ( ! [B: set_a,F: a > a,A: set_a] :
( ( ord_less_eq_set_a @ B @ ( image_a_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[636]) ).
thf(785,plain,
( ( ! [B: set_set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ B @ ( image_64240033_set_a @ F @ A ) )
= ( ? [AA: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ AA @ A )
& ( B
= ( image_64240033_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[635]) ).
thf(786,plain,
( ( ! [B: set_a,F: set_a > a,A: set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_a_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_set_a_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[634]) ).
thf(787,plain,
( ( ! [B: set_set_a,F: a > set_a,A: set_a] :
( ( ord_le318720350_set_a @ B @ ( image_a_set_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[633]) ).
thf(788,plain,
( ( ! [B: set_a,F: set_set_a > a,A: set_set_set_a] :
( ( ord_less_eq_set_a @ B @ ( image_set_set_a_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_set_set_a_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[632]) ).
thf(789,plain,
( ( ! [B: set_set_a,F: set_a > set_a,A: set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_set_a_set_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_set_a_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[631]) ).
thf(790,plain,
( ( ! [B: set_set_set_a,F: a > set_set_a,A: set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_a_set_set_a @ F @ A ) )
= ( ? [AA: set_a] :
( ( ord_less_eq_set_a @ AA @ A )
& ( B
= ( image_a_set_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[630]) ).
thf(791,plain,
( ( ! [B: set_set_a,F: set_set_a > set_a,A: set_set_set_a] :
( ( ord_le318720350_set_a @ B @ ( image_402591269_set_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_402591269_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[629]) ).
thf(792,plain,
( ( ! [B: set_set_set_a,F: set_a > set_set_a,A: set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1930509541_set_a @ F @ A ) )
= ( ? [AA: set_set_a] :
( ( ord_le318720350_set_a @ AA @ A )
& ( B
= ( image_1930509541_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[628]) ).
thf(793,plain,
( ( ! [B: set_set_set_a,F: set_set_a > set_set_a,A: set_set_set_a] :
( ( ord_le2103863998_set_a @ B @ ( image_1956910981_set_a @ F @ A ) )
= ( ? [AA: set_set_set_a] :
( ( ord_le2103863998_set_a @ AA @ A )
& ( B
= ( image_1956910981_set_a @ F @ AA ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[627]) ).
thf(794,plain,
( ( ! [P: produc1965228714_set_a] :
? [X2: a > e,Y: set_a] :
( P
= ( produc479206876_set_a @ X2 @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[626]) ).
thf(795,plain,
( ( ! [P: produc715398134_a_a_e] :
? [X2: set_a,Y: a > e] :
( P
= ( produc1134456688_a_a_e @ X2 @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[625]) ).
thf(796,plain,
( ( ! [B2: set_Pr204296108_a_a_e,A2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[624]) ).
thf(797,plain,
( ( ! [B2: set_set_a,A2: set_set_a] :
( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[623]) ).
thf(798,plain,
( ( ! [B2: set_set_set_a,A2: set_set_set_a] :
( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[622]) ).
thf(799,plain,
( ( ! [B2: $o > set_a,A2: $o > set_a] :
( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[621]) ).
thf(800,plain,
( ( ! [B2: set_a,A2: set_a] :
( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[620]) ).
thf(801,plain,
( ( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [A3: set_Pr204296108_a_a_e,B3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B3 @ A3 )
& ( ord_le700723212_a_a_e @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[619]) ).
thf(802,plain,
( ( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_a,B3: set_set_a] :
( ( ord_le318720350_set_a @ B3 @ A3 )
& ( ord_le318720350_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[618]) ).
thf(803,plain,
( ( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_set_a,B3: set_set_set_a] :
( ( ord_le2103863998_set_a @ B3 @ A3 )
& ( ord_le2103863998_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[617]) ).
thf(804,plain,
( ( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [A3: $o > set_a,B3: $o > set_a] :
( ( ord_less_eq_o_set_a @ B3 @ A3 )
& ( ord_less_eq_o_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[616]) ).
thf(805,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ B3 @ A3 )
& ( ord_less_eq_set_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[615]) ).
thf(806,plain,
( ( ! [B2: set_Pr204296108_a_a_e,A2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( ( ord_le700723212_a_a_e @ C2 @ B2 )
=> ( ord_le700723212_a_a_e @ C2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[614]) ).
thf(807,plain,
( ( ! [B2: set_set_a,A2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( ( ord_le318720350_set_a @ C2 @ B2 )
=> ( ord_le318720350_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[613]) ).
thf(808,plain,
( ( ! [B2: set_set_set_a,A2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( ( ord_le2103863998_set_a @ C2 @ B2 )
=> ( ord_le2103863998_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[612]) ).
thf(809,plain,
( ( ! [B2: $o > set_a,A2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_o_set_a @ C2 @ B2 )
=> ( ord_less_eq_o_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[611]) ).
thf(810,plain,
( ( ! [B2: set_a,A2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( ( ord_less_eq_set_a @ C2 @ B2 )
=> ( ord_less_eq_set_a @ C2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[610]) ).
thf(811,plain,
( ( ! [A2: set_Pr204296108_a_a_e] : ( ord_le700723212_a_a_e @ A2 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[609]) ).
thf(812,plain,
( ( ! [A2: set_set_a] : ( ord_le318720350_set_a @ A2 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[608]) ).
thf(813,plain,
( ( ! [A2: set_set_set_a] : ( ord_le2103863998_set_a @ A2 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[607]) ).
thf(814,plain,
( ( ! [A2: $o > set_a] : ( ord_less_eq_o_set_a @ A2 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[606]) ).
thf(815,plain,
( ( ! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[605]) ).
thf(816,plain,
( ( ! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e,Z2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X3 @ Y3 )
=> ( ( ord_le700723212_a_a_e @ Y3 @ Z2 )
=> ( ord_le700723212_a_a_e @ X3 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[604]) ).
thf(817,plain,
( ( ! [X3: set_set_a,Y3: set_set_a,Z2: set_set_a] :
( ( ord_le318720350_set_a @ X3 @ Y3 )
=> ( ( ord_le318720350_set_a @ Y3 @ Z2 )
=> ( ord_le318720350_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[603]) ).
thf(818,plain,
( ( ! [X3: set_set_set_a,Y3: set_set_set_a,Z2: set_set_set_a] :
( ( ord_le2103863998_set_a @ X3 @ Y3 )
=> ( ( ord_le2103863998_set_a @ Y3 @ Z2 )
=> ( ord_le2103863998_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[602]) ).
thf(819,plain,
( ( ! [X3: $o > set_a,Y3: $o > set_a,Z2: $o > set_a] :
( ( ord_less_eq_o_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_o_set_a @ Y3 @ Z2 )
=> ( ord_less_eq_o_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[601]) ).
thf(820,plain,
( ( ! [X3: set_a,Y3: set_a,Z2: set_a] :
( ( ord_less_eq_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_set_a @ Y3 @ Z2 )
=> ( ord_less_eq_set_a @ X3 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[600]) ).
thf(821,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[599]) ).
thf(822,plain,
( ( ! [A2: set_set_a,B2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ord_le318720350_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[598]) ).
thf(823,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[597]) ).
thf(824,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[596]) ).
thf(825,plain,
( ( ! [A2: set_a,B2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[595]) ).
thf(826,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[594]) ).
thf(827,plain,
( ( ! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[593]) ).
thf(828,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[592]) ).
thf(829,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[591]) ).
thf(830,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[590]) ).
thf(831,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( A2 = B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[589]) ).
thf(832,plain,
( ( ! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( A2 = B2 )
=> ( ( ord_le318720350_set_a @ B2 @ C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[588]) ).
thf(833,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( A2 = B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[587]) ).
thf(834,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[586]) ).
thf(835,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[585]) ).
thf(836,plain,
( ( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [A3: set_Pr204296108_a_a_e,B3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A3 @ B3 )
& ( ord_le700723212_a_a_e @ B3 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[584]) ).
thf(837,plain,
( ( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_a,B3: set_set_a] :
( ( ord_le318720350_set_a @ A3 @ B3 )
& ( ord_le318720350_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[583]) ).
thf(838,plain,
( ( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_set_set_a,B3: set_set_set_a] :
( ( ord_le2103863998_set_a @ A3 @ B3 )
& ( ord_le2103863998_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[582]) ).
thf(839,plain,
( ( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [A3: $o > set_a,B3: $o > set_a] :
( ( ord_less_eq_o_set_a @ A3 @ B3 )
& ( ord_less_eq_o_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[581]) ).
thf(840,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A3: set_a,B3: set_a] :
( ( ord_less_eq_set_a @ A3 @ B3 )
& ( ord_less_eq_set_a @ B3 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[580]) ).
thf(841,plain,
( ( ! [Y3: set_Pr204296108_a_a_e,X3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ Y3 @ X3 )
=> ( ( ord_le700723212_a_a_e @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[579]) ).
thf(842,plain,
( ( ! [Y3: set_set_a,X3: set_set_a] :
( ( ord_le318720350_set_a @ Y3 @ X3 )
=> ( ( ord_le318720350_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[578]) ).
thf(843,plain,
( ( ! [Y3: set_set_set_a,X3: set_set_set_a] :
( ( ord_le2103863998_set_a @ Y3 @ X3 )
=> ( ( ord_le2103863998_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[577]) ).
thf(844,plain,
( ( ! [Y3: $o > set_a,X3: $o > set_a] :
( ( ord_less_eq_o_set_a @ Y3 @ X3 )
=> ( ( ord_less_eq_o_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[576]) ).
thf(845,plain,
( ( ! [Y3: set_a,X3: set_a] :
( ( ord_less_eq_set_a @ Y3 @ X3 )
=> ( ( ord_less_eq_set_a @ X3 @ Y3 )
= ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[575]) ).
thf(846,plain,
( ( ! [A2: set_Pr204296108_a_a_e,B2: set_Pr204296108_a_a_e,C2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ A2 @ B2 )
=> ( ( ord_le700723212_a_a_e @ B2 @ C2 )
=> ( ord_le700723212_a_a_e @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[574]) ).
thf(847,plain,
( ( ! [A2: set_set_a,B2: set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ord_le318720350_set_a @ B2 @ C2 )
=> ( ord_le318720350_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(848,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,C2: set_set_set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ord_le2103863998_set_a @ B2 @ C2 )
=> ( ord_le2103863998_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[572]) ).
thf(849,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ord_less_eq_o_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[571]) ).
thf(850,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ord_less_eq_set_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[570]) ).
thf(851,plain,
( ( ! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e] :
( ( X3 = Y3 )
=> ( ord_le700723212_a_a_e @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[569]) ).
thf(852,plain,
( ( ! [X3: set_set_a,Y3: set_set_a] :
( ( X3 = Y3 )
=> ( ord_le318720350_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[568]) ).
thf(853,plain,
( ( ! [X3: set_set_set_a,Y3: set_set_set_a] :
( ( X3 = Y3 )
=> ( ord_le2103863998_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[567]) ).
thf(854,plain,
( ( ! [X3: $o > set_a,Y3: $o > set_a] :
( ( X3 = Y3 )
=> ( ord_less_eq_o_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[566]) ).
thf(855,plain,
( ( ! [X3: set_a,Y3: set_a] :
( ( X3 = Y3 )
=> ( ord_less_eq_set_a @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[565]) ).
thf(856,plain,
( ( ! [X3: set_Pr204296108_a_a_e,Y3: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X3 @ Y3 )
=> ( ( ord_le700723212_a_a_e @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[564]) ).
thf(857,plain,
( ( ! [X3: set_set_a,Y3: set_set_a] :
( ( ord_le318720350_set_a @ X3 @ Y3 )
=> ( ( ord_le318720350_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[563]) ).
thf(858,plain,
( ( ! [X3: set_set_set_a,Y3: set_set_set_a] :
( ( ord_le2103863998_set_a @ X3 @ Y3 )
=> ( ( ord_le2103863998_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[562]) ).
thf(859,plain,
( ( ! [X3: $o > set_a,Y3: $o > set_a] :
( ( ord_less_eq_o_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_o_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[561]) ).
thf(860,plain,
( ( ! [X3: set_a,Y3: set_a] :
( ( ord_less_eq_set_a @ X3 @ Y3 )
=> ( ( ord_less_eq_set_a @ Y3 @ X3 )
=> ( X3 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[560]) ).
thf(861,plain,
( ( ( ^ [Y2: set_Pr204296108_a_a_e,Z: set_Pr204296108_a_a_e] : ( Y2 = Z ) )
= ( ^ [X4: set_Pr204296108_a_a_e,Y4: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ X4 @ Y4 )
& ( ord_le700723212_a_a_e @ Y4 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[559]) ).
thf(862,plain,
( ( ( ^ [Y2: set_set_a,Z: set_set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_set_a,Y4: set_set_a] :
( ( ord_le318720350_set_a @ X4 @ Y4 )
& ( ord_le318720350_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[558]) ).
thf(863,plain,
( ( ( ^ [Y2: set_set_set_a,Z: set_set_set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_set_set_a,Y4: set_set_set_a] :
( ( ord_le2103863998_set_a @ X4 @ Y4 )
& ( ord_le2103863998_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[557]) ).
thf(864,plain,
( ( ( ^ [Y2: $o > set_a,Z: $o > set_a] : ( Y2 = Z ) )
= ( ^ [X4: $o > set_a,Y4: $o > set_a] :
( ( ord_less_eq_o_set_a @ X4 @ Y4 )
& ( ord_less_eq_o_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[556]) ).
thf(865,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [X4: set_a,Y4: set_a] :
( ( ord_less_eq_set_a @ X4 @ Y4 )
& ( ord_less_eq_set_a @ Y4 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[555]) ).
thf(866,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[554]) ).
thf(867,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_set_a,C2: set_set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[553]) ).
thf(868,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_a,C2: set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[552]) ).
thf(869,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_set_set_a,C2: set_set_set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[551]) ).
thf(870,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > $o > set_a,C2: $o > set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[550]) ).
thf(871,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_set_a,C2: set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[549]) ).
thf(872,plain,
( ( ! [A2: set_set_set_a,B2: set_set_set_a,F: set_set_set_a > set_a,C2: set_a] :
( ( ord_le2103863998_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_set_a,Y: set_set_set_a] :
( ( ord_le2103863998_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[548]) ).
thf(873,plain,
( ( ! [A2: $o > set_a,B2: $o > set_a,F: ( $o > set_a ) > set_a,C2: set_a] :
( ( ord_less_eq_o_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[547]) ).
thf(874,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > set_set_set_a,C2: set_set_set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[546]) ).
thf(875,plain,
( ( ! [A2: set_set_a,B2: set_set_a,F: set_set_a > $o > set_a,C2: $o > set_a] :
( ( ord_le318720350_set_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: set_set_a,Y: set_set_a] :
( ( ord_le318720350_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[545]) ).
thf(876,plain,
( ( ! [A2: set_Pr204296108_a_a_e,F: ( $o > set_a ) > set_Pr204296108_a_a_e,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le700723212_a_a_e @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le700723212_a_a_e @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[544]) ).
thf(877,plain,
( ( ! [A2: set_set_a,F: ( $o > set_a ) > set_set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le318720350_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le318720350_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[543]) ).
thf(878,plain,
( ( ! [A2: set_set_set_a,F: ( $o > set_a ) > set_set_set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_le2103863998_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_le2103863998_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[542]) ).
thf(879,plain,
( ( ! [A2: $o > set_a,F: ( $o > set_a ) > $o > set_a,B2: $o > set_a,C2: $o > set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_o_set_a @ B2 @ C2 )
=> ( ! [X2: $o > set_a,Y: $o > set_a] :
( ( ord_less_eq_o_set_a @ X2 @ Y )
=> ( ord_less_eq_o_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_o_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[541]) ).
thf(880,plain,
( ( ! [A2: set_a,F: set_a > set_a,B2: set_a,C2: set_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[540]) ).
thf(881,plain,
( ( ! [A2: set_a,B2: set_a,F: set_a > set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ B2 )
=> ( ( ord_less_eq_set_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[539]) ).
thf(882,plain,
( ( ! [A2: set_a,F: set_a > set_a,B2: set_a,C2: set_a] :
( ( ord_less_eq_set_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_less_eq_set_a @ B2 @ C2 )
=> ( ! [X2: set_a,Y: set_a] :
( ( ord_less_eq_set_a @ X2 @ Y )
=> ( ord_less_eq_set_a @ ( F @ X2 ) @ ( F @ Y ) ) )
=> ( ord_less_eq_set_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[538]) ).
thf(883,plain,
( ( ! [A2: set_a,P2: set_a > $o] :
( ( member_set_a @ A2 @ ( collect_set_a @ P2 ) )
= ( P2 @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(884,plain,
( ( ! [A2: produc715398134_a_a_e,P2: produc715398134_a_a_e > $o] :
( ( member1258382221_a_a_e @ A2 @ ( collec1369693387_a_a_e @ P2 ) )
= ( P2 @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[536]) ).
thf(885,plain,
( ( ! [A: set_set_a] :
( ( collect_set_a
@ ^ [X4: set_a] : ( member_set_a @ X4 @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(886,plain,
( ( ! [A: set_Pr204296108_a_a_e] :
( ( collec1369693387_a_a_e
@ ^ [X4: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X4 @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(887,plain,
( ( ! [X3: set_a,A: set_set_a,B2: set_a,F: set_a > set_a] :
( ( member_set_a @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_set_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(888,plain,
( ( ! [X3: set_a,A: set_set_a,B2: produc715398134_a_a_e,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member1258382221_a_a_e @ B2 @ ( image_210900495_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(889,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,B2: set_a,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[531]) ).
thf(890,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,B2: produc715398134_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( ( B2
= ( F @ X3 ) )
=> ( member1258382221_a_a_e @ B2 @ ( image_625620211_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[530]) ).
thf(891,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ F @ A ) )
=> ( P2 @ X2 ) )
=> ! [X: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X @ A )
=> ( P2 @ ( F @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[529]) ).
thf(892,plain,
( ( ! [M: set_Pr204296108_a_a_e,N: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,G: produc715398134_a_a_e > set_a] :
( ( M = N )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ N )
=> ( ( F @ X2 )
= ( G @ X2 ) ) )
=> ( ( image_64240033_set_a @ F @ M )
= ( image_64240033_set_a @ G @ N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[528]) ).
thf(893,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ? [X: set_a] :
( ( member_set_a @ X @ ( image_64240033_set_a @ F @ A ) )
& ( P2 @ X ) )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ( P2 @ ( F @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[527]) ).
thf(894,plain,
( ( ! [Z2: set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( member_set_a @ Z2 @ ( image_64240033_set_a @ F @ A ) )
= ( ? [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A )
& ( Z2
= ( F @ X4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[526]) ).
thf(895,plain,
( ( ! [X3: set_a,A: set_set_a,F: set_a > set_a] :
( ( member_set_a @ X3 @ A )
=> ( member_set_a @ ( F @ X3 ) @ ( image_set_a_set_a @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[525]) ).
thf(896,plain,
( ( ! [X3: set_a,A: set_set_a,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ ( F @ X3 ) @ ( image_210900495_a_a_e @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[524]) ).
thf(897,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( member_set_a @ ( F @ X3 ) @ ( image_64240033_set_a @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[523]) ).
thf(898,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ ( F @ X3 ) @ ( image_625620211_a_a_e @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[522]) ).
thf(899,plain,
( ( ! [P2: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P2 ) @ ( collect_a @ Q ) )
= ( ! [X4: a] :
( ( P2 @ X4 )
=> ( Q @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[521]) ).
thf(900,plain,
( ( ( ^ [Y2: set_a,Z: set_a] : ( Y2 = Z ) )
= ( ^ [A4: set_a,B4: set_a] :
( ( ord_less_eq_set_a @ A4 @ B4 )
& ( ord_less_eq_set_a @ B4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[520]) ).
thf(901,plain,
( ( ! [A: set_a,B: set_a,C3: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( ord_less_eq_set_a @ B @ C3 )
=> ( ord_less_eq_set_a @ A @ C3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[519]) ).
thf(902,plain,
( ( ! [P2: a > $o,Q: a > $o] :
( ! [X2: a] :
( ( P2 @ X2 )
=> ( Q @ X2 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P2 ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[518]) ).
thf(903,plain,
( ( ord_le318720350_set_a
= ( ^ [A4: set_set_a,B4: set_set_a] :
! [T: set_a] :
( ( member_set_a @ T @ A4 )
=> ( member_set_a @ T @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[517]) ).
thf(904,plain,
( ( ord_le700723212_a_a_e
= ( ^ [A4: set_Pr204296108_a_a_e,B4: set_Pr204296108_a_a_e] :
! [T: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ T @ A4 )
=> ( member1258382221_a_a_e @ T @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[516]) ).
thf(905,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B4: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[515]) ).
thf(906,plain,
( ( ! [A: set_a,B: set_a] :
( ( A = B )
=> ( ord_less_eq_set_a @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[514]) ).
thf(907,plain,
( ( ord_le318720350_set_a
= ( ^ [A4: set_set_a,B4: set_set_a] :
! [X4: set_a] :
( ( member_set_a @ X4 @ A4 )
=> ( member_set_a @ X4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[513]) ).
thf(908,plain,
( ( ord_le700723212_a_a_e
= ( ^ [A4: set_Pr204296108_a_a_e,B4: set_Pr204296108_a_a_e] :
! [X4: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X4 @ A4 )
=> ( member1258382221_a_a_e @ X4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[512]) ).
thf(909,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B4: set_a] :
! [X4: a] :
( ( member_a @ X4 @ A4 )
=> ( member_a @ X4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(910,plain,
( ( ! [A: set_a,B: set_a] :
( ( A = B )
=> ~ ( ( ord_less_eq_set_a @ A @ B )
=> ~ ( ord_less_eq_set_a @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(911,plain,
( ( ! [A: set_set_a,B: set_set_a,C2: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( member_set_a @ C2 @ A )
=> ( member_set_a @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(912,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C2: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( member1258382221_a_a_e @ C2 @ A )
=> ( member1258382221_a_a_e @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(913,plain,
( ( ! [A: set_a,B: set_a,C2: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( member_a @ C2 @ A )
=> ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(914,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ( member_set_a @ X3 @ A )
=> ( member_set_a @ X3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(915,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ X3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(916,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ( member_a @ X3 @ A )
=> ( member_a @ X3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(917,plain,
( ( ! [X1: set_a,X22: a > e,Y1: set_a,Y22: a > e] :
( ( ( produc1134456688_a_a_e @ X1 @ X22 )
= ( produc1134456688_a_a_e @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(918,plain,
( ( ! [A2: set_a,B2: a > e,A5: set_a,B5: a > e] :
( ( ( produc1134456688_a_a_e @ A2 @ B2 )
= ( produc1134456688_a_a_e @ A5 @ B5 ) )
= ( ( A2 = A5 )
& ( B2 = B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(919,plain,
( ( ! [A2: set_a,P: produc715398134_a_a_e] :
( ( A2
= ( produc1040928388_a_a_e @ P ) )
= ( ? [B3: a > e] :
( P
= ( produc1134456688_a_a_e @ A2 @ B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(920,plain,
( ( ! [X1: set_a,X22: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(921,plain,
( ( ! [X3: set_a,Y3: a > e,A2: set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= A2 )
=> ( X3 = A2 ) ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(922,plain,
( ( ! [X3: produc715398134_a_a_e,Y3: set_a,Z2: a > e] :
( ( X3
= ( produc1134456688_a_a_e @ Y3 @ Z2 ) )
=> ( ( produc1040928388_a_a_e @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(923,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,P2: set_set_a > $o] :
( ( ! [B4: set_set_a] :
( ( ord_le318720350_set_a @ B4 @ ( image_64240033_set_a @ F @ A ) )
=> ( P2 @ B4 ) ) )
= ( ! [B4: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ B4 @ A )
=> ( P2 @ ( image_64240033_set_a @ F @ B4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(924,plain,
( ( ! [F: a > a,A: set_a,P2: set_a > $o] :
( ( ! [B4: set_a] :
( ( ord_less_eq_set_a @ B4 @ ( image_a_a @ F @ A ) )
=> ( P2 @ B4 ) ) )
= ( ! [B4: set_a] :
( ( ord_less_eq_set_a @ B4 @ A )
=> ( P2 @ ( image_a_a @ F @ B4 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(925,plain,
( ( ! [P2: set_a > $o,X3: set_a] :
( ( P2 @ X3 )
=> ( ! [Y: set_a] :
( ( P2 @ Y )
=> ( ord_less_eq_set_a @ Y @ X3 ) )
=> ( ( order_Greatest_set_a @ P2 )
= X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(926,plain,
( ( ! [P2: set_a > $o,X3: set_a,Q: set_a > $o] :
( ( P2 @ X3 )
=> ( ! [Y: set_a] :
( ( P2 @ Y )
=> ( ord_less_eq_set_a @ Y @ X3 ) )
=> ( ! [X2: set_a] :
( ( P2 @ X2 )
=> ( ! [Y5: set_a] :
( ( P2 @ Y5 )
=> ( ord_less_eq_set_a @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_Greatest_set_a @ P2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(927,plain,
( ( ! [P2: produc715398134_a_a_e > $o,Prod: produc715398134_a_a_e] :
( ! [A6: set_a,B6: a > e] : ( P2 @ ( produc1134456688_a_a_e @ A6 @ B6 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(928,plain,
( ( ! [Y3: produc715398134_a_a_e] :
~ ! [A6: set_a,B6: a > e] :
( Y3
!= ( produc1134456688_a_a_e @ A6 @ B6 ) ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(929,plain,
( ( ! [A2: set_a,B2: a > e,A5: set_a,B5: a > e] :
( ( ( produc1134456688_a_a_e @ A2 @ B2 )
= ( produc1134456688_a_a_e @ A5 @ B5 ) )
=> ~ ( ( A2 = A5 )
=> ( B2 != B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(930,plain,
( ( ! [P2: produc715398134_a_a_e > $o,P: produc715398134_a_a_e] :
( ! [A6: set_a,B6: a > e] : ( P2 @ ( produc1134456688_a_a_e @ A6 @ B6 ) )
=> ( P2 @ P ) ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(931,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
=> ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( finite33065488_a_a_e @ A ) ) @ ( finite_Fpow_set_a @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(932,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ~ ( ord_le318720350_set_a @ A @ B )
=> ? [A6: set_a] :
( ( member_set_a @ A6 @ A )
& ~ ( member_set_a @ A6 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(933,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ A @ B )
=> ? [A6: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ A6 @ A )
& ~ ( member1258382221_a_a_e @ A6 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(934,plain,
( ( ! [A: set_a,B: set_a] :
( ~ ( ord_less_eq_set_a @ A @ B )
=> ? [A6: a] :
( ( member_a @ A6 @ A )
& ~ ( member_a @ A6 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(935,plain,
( ( ! [A: set_a,B: set_a] :
( ( A = B )
=> ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(936,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ( ord_le318720350_set_a @ A @ B )
| ( ord_le318720350_set_a @ B @ A ) )
=> ( ( member_set_a @ X3 @ A )
=> ( ~ ( member_set_a @ X3 @ B )
=> ( ord_le318720350_set_a @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(937,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ A @ B )
| ( ord_le700723212_a_a_e @ B @ A ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( ~ ( member1258382221_a_a_e @ X3 @ B )
=> ( ord_le700723212_a_a_e @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(938,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ( ord_less_eq_set_a @ A @ B )
| ( ord_less_eq_set_a @ B @ A ) )
=> ( ( member_a @ X3 @ A )
=> ( ~ ( member_a @ X3 @ B )
=> ( ord_less_eq_set_a @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(939,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( finite_Fpow_a @ A ) @ ( finite_Fpow_a @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(940,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ A2 @ C2 )
=> ( ord_less_eq_set_a @ B2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(941,plain,
( ( ! [A2: set_a,B2: set_a,C2: set_a] :
( ( A2 = B2 )
=> ( ( ord_less_eq_set_a @ C2 @ A2 )
=> ( ord_less_eq_set_a @ C2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(942,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e] :
( ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ A ) )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ( B2
= ( F @ X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(943,plain,
( ( ! [A2: set_a,A: set_set_a,F: set_a > set_a] :
( ( member_set_a @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_set_a_set_a @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(944,plain,
( ( ! [A2: set_a,A: set_set_a,F: set_a > produc715398134_a_a_e] :
( ( member_set_a @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_210900495_a_a_e @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(945,plain,
( ( ! [A2: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a] :
( ( member1258382221_a_a_e @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_64240033_set_a @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(946,plain,
( ( ! [A2: produc715398134_a_a_e,A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_625620211_a_a_e @ F @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(947,plain,
( ( ! [A: set_set_a,F: set_a > set_a,B: set_set_a,A2: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ( member_set_a @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_set_a_set_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(948,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > set_a,B: set_set_a,A2: produc715398134_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member_set_a @ ( F @ X2 ) @ B ) )
=> ( ( member1258382221_a_a_e @ A2 @ A )
=> ( member_set_a @ ( F @ A2 ) @ ( image_64240033_set_a @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(949,plain,
( ( ! [A: set_set_a,F: set_a > produc715398134_a_a_e,B: set_Pr204296108_a_a_e,A2: set_a] :
( ! [X2: set_a] :
( ( member_set_a @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ( member_set_a @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_210900495_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(950,plain,
( ( ! [A: set_Pr204296108_a_a_e,F: produc715398134_a_a_e > produc715398134_a_a_e,B: set_Pr204296108_a_a_e,A2: produc715398134_a_a_e] :
( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
=> ( member1258382221_a_a_e @ ( F @ X2 ) @ B ) )
=> ( ( member1258382221_a_a_e @ A2 @ A )
=> ( member1258382221_a_a_e @ ( F @ A2 ) @ ( image_625620211_a_a_e @ F @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(951,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ord_le318720350_set_a @ A @ B )
=> ( ~ ( member_set_a @ X3 @ A )
=> ( ( member_set_a @ X3 @ B )
=> ( A != B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(952,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ord_le700723212_a_a_e @ A @ B )
=> ( ~ ( member1258382221_a_a_e @ X3 @ A )
=> ( ( member1258382221_a_a_e @ X3 @ B )
=> ( A != B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(953,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ~ ( member_a @ X3 @ A )
=> ( ( member_a @ X3 @ B )
=> ( A != B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(954,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ~ ( ord_le318720350_set_a @ A @ B )
=> ? [X2: set_a] :
( ( member_set_a @ X2 @ A )
& ~ ( member_set_a @ X2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(955,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ A @ B )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ~ ( member1258382221_a_a_e @ X2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(956,plain,
( ( ! [A: set_a,B: set_a] :
( ~ ( ord_less_eq_set_a @ A @ B )
=> ? [X2: a] :
( ( member_a @ X2 @ A )
& ~ ( member_a @ X2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(957,plain,
( ( ! [A: set_a] : ( ord_less_eq_set_a @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(958,plain,
( ( ! [A: set_set_a,B: set_set_a] :
( ( A != B )
=> ( ( ord_le318720350_set_a @ B @ A )
=> ? [X2: set_a] :
( ( member_set_a @ X2 @ A )
& ~ ( member_set_a @ X2 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(959,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e] :
( ( A != B )
=> ( ( ord_le700723212_a_a_e @ B @ A )
=> ? [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ A )
& ~ ( member1258382221_a_a_e @ X2 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(960,plain,
( ( ! [A: set_a,B: set_a] :
( ( A != B )
=> ( ( ord_less_eq_set_a @ B @ A )
=> ? [X2: a] :
( ( member_a @ X2 @ A )
& ~ ( member_a @ X2 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(961,plain,
( ( ! [A: set_set_a,B: set_set_a,X3: set_a] :
( ( ( ord_le318720350_set_a @ A @ B )
| ( ord_le318720350_set_a @ B @ A ) )
=> ( ~ ( member_set_a @ X3 @ A )
=> ( ( member_set_a @ X3 @ B )
=> ( ord_le318720350_set_a @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(962,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,X3: produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ A @ B )
| ( ord_le700723212_a_a_e @ B @ A ) )
=> ( ~ ( member1258382221_a_a_e @ X3 @ A )
=> ( ( member1258382221_a_a_e @ X3 @ B )
=> ( ord_le700723212_a_a_e @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(963,plain,
( ( ! [A: set_a,B: set_a,X3: a] :
( ( ( ord_less_eq_set_a @ A @ B )
| ( ord_less_eq_set_a @ B @ A ) )
=> ( ~ ( member_a @ X3 @ A )
=> ( ( member_a @ X3 @ B )
=> ( ord_less_eq_set_a @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(964,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ F @ A ) @ B )
=> ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( pow_Pr328302361_a_a_e @ A ) ) @ ( pow_set_a @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(965,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C3: produc715398134_a_a_e > set_a,D: produc715398134_a_a_e > set_a,Sup: set_set_a > set_a] :
( ( A = B )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ B )
=> ( ( C3 @ X2 )
= ( D @ X2 ) ) )
=> ( ( Sup @ ( image_64240033_set_a @ C3 @ A ) )
= ( Sup @ ( image_64240033_set_a @ D @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(966,plain,
( ( ! [A: set_Pr204296108_a_a_e,B: set_Pr204296108_a_a_e,C3: produc715398134_a_a_e > set_a,D: produc715398134_a_a_e > set_a,Inf: set_set_a > set_a] :
( ( A = B )
=> ( ! [X2: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ X2 @ B )
=> ( ( C3 @ X2 )
= ( D @ X2 ) ) )
=> ( ( Inf @ ( image_64240033_set_a @ C3 @ A ) )
= ( Inf @ ( image_64240033_set_a @ D @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(967,plain,
( ( ! [R: set_Pr204296108_a_a_e,S: set_Pr204296108_a_a_e] :
( ! [X2: set_a,Y: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ S ) )
=> ( ord_le700723212_a_a_e @ R @ S ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(968,plain,
( ( ! [R: set_a,S: a > e,R2: set_Pr204296108_a_a_e,S2: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ R @ S ) @ R2 )
=> ( ( S2 = S )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ R @ S2 ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(969,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( member_set_a @ A @ ( pow_a @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(970,plain,
( ( ! [A: set_a,B: set_a] :
( ( member_set_a @ A @ ( pow_a @ B ) )
= ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(971,plain,
( ( ! [A: set_a] : ( member_set_a @ A @ ( pow_a @ A ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(972,plain,
( ( ! [A: set_a,B: set_a] :
( ( member_set_a @ A @ ( pow_a @ B ) )
=> ( ord_less_eq_set_a @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(973,plain,
( ( ! [A: set_a,B: set_a] :
( ( ord_less_eq_set_a @ A @ B )
=> ( ord_le318720350_set_a @ ( pow_a @ A ) @ ( pow_a @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(974,plain,
( ( ! [F: produc715398134_a_a_e > set_a,A: set_Pr204296108_a_a_e,B: set_set_a] :
( ( ( image_64240033_set_a @ F @ A )
= B )
=> ( ( image_1441218763_set_a @ ( image_64240033_set_a @ F ) @ ( pow_Pr328302361_a_a_e @ A ) )
= ( pow_set_a @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(975,plain,
( ( ord_less_eq_o_set_a
= ( ^ [X5: $o > set_a,Y6: $o > set_a] :
( ( ord_less_eq_set_a @ ( X5 @ $false ) @ ( Y6 @ $false ) )
& ( ord_less_eq_set_a @ ( X5 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(976,plain,
( ( ! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) )
=> ( produc952037978_a_e_o @ F @ A2 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(977,plain,
( ( ! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( produc952037978_a_e_o @ F @ A2 @ B2 )
=> ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(978,plain,
( ( ! [F: produc715398134_a_a_e > $o,A2: set_a,B2: a > e] :
( ( produc952037978_a_e_o @ F @ A2 @ B2 )
=> ( F @ ( produc1134456688_a_a_e @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(979,plain,
( ( ! [R2: set_Pr204296108_a_a_e] :
( ( image_64240033_set_a @ produc1040928388_a_a_e @ R2 )
= ( domain_set_a_a_e @ R2 ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(980,plain,
( ( domain_set_a_a_e
= ( image_64240033_set_a @ produc1040928388_a_a_e ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(981,plain,
( ( ! [B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ B2 @ ( range_set_a_a_e @ R ) )
=> ~ ! [A6: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B2 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(982,plain,
( ( ! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
= ( ? [Y4: set_a] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ Y4 @ A2 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(983,plain,
( ( ! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
=> ~ ! [A6: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ A2 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(984,plain,
( ( ! [A2: a > e,R: set_Pr204296108_a_a_e] :
( ( member_a_e @ A2 @ ( range_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A2 = B3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(985,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member_a_e @ B2 @ ( range_set_a_a_e @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(986,plain,
( ( ! [X3: a > e,R: set_Pr204296108_a_a_e,P2: ( a > e ) > $o] :
( ( member_a_e @ X3 @ ( range_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ B6 ) )
=> ( P2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(987,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
=> ~ ! [B6: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B6 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(988,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
= ( ? [Y4: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ Y4 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(989,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
=> ~ ! [B6: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B6 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(990,plain,
( ( ! [A2: set_a,R: set_Pr204296108_a_a_e] :
( ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A2 = A3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(991,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member_set_a @ A2 @ ( domain_set_a_a_e @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(992,plain,
( ( ! [X3: set_a,R: set_Pr204296108_a_a_e,P2: set_a > $o] :
( ( member_set_a @ X3 @ ( domain_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ A6 ) )
=> ( P2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(993,plain,
( ( ! [Y3: a > e,X3: set_a,A: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ Y3 @ X3 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ A ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(994,plain,
( ( ! [Y3: set_a,X3: a > e,A: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ Y3 @ X3 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ A ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ X3 @ Y3 ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(995,plain,
( ( ! [X3: a > e,Y3: set_a] :
( ( produc100464700_set_a @ ( produc479206876_set_a @ X3 @ Y3 ) )
= ( produc1134456688_a_a_e @ Y3 @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(996,plain,
( ( ! [X3: set_a,Y3: a > e] :
( ( produc755714512_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= ( produc479206876_set_a @ Y3 @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(997,plain,
( ( ! [A2: a > e,B2: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ ( converse_set_a_a_e @ R ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(998,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ ( converse_a_e_set_a @ R ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(999,plain,
( ( ! [X1: a > e,X22: set_a,R: set_Pr204296108_a_a_e,P2: ( a > e ) > set_a > $o] :
( ( member360729153_set_a @ ( produc479206876_set_a @ X1 @ X22 ) @ ( converse_set_a_a_e @ R ) )
=> ( ! [A6: set_a,B6: a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A6 @ B6 ) @ R )
=> ( P2 @ B6 @ A6 ) )
=> ( P2 @ X1 @ X22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(1000,plain,
( ( ! [X1: set_a,X22: a > e,R: set_Pr305929312_set_a,P2: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) @ ( converse_a_e_set_a @ R ) )
=> ( ! [A6: a > e,B6: set_a] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A6 @ B6 ) @ R )
=> ( P2 @ B6 @ A6 ) )
=> ( P2 @ X1 @ X22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(1001,plain,
( ( ! [A2: a > e,B2: set_a,R: set_Pr305929312_set_a] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ R )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ ( converse_a_e_set_a @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(1002,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R )
=> ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ ( converse_set_a_a_e @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(1003,plain,
( ( ! [A1: a > e,A22: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A1 @ A22 ) @ ( converse_set_a_a_e @ R ) )
= ( ? [A3: set_a,B3: a > e] :
( ( A1 = B3 )
& ( A22 = A3 )
& ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(1004,plain,
( ( ! [A1: set_a,A22: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A1 @ A22 ) @ ( converse_a_e_set_a @ R ) )
= ( ? [A3: a > e,B3: set_a] :
( ( A1 = B3 )
& ( A22 = A3 )
& ( member360729153_set_a @ ( produc479206876_set_a @ A3 @ B3 ) @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(1005,plain,
( ( ! [A1: a > e,A22: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A1 @ A22 ) @ ( converse_set_a_a_e @ R ) )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A22 @ A1 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(1006,plain,
( ( ! [A1: set_a,A22: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A1 @ A22 ) @ ( converse_a_e_set_a @ R ) )
=> ( member360729153_set_a @ ( produc479206876_set_a @ A22 @ A1 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(1007,plain,
( ( ! [Yx: produc1965228714_set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ Yx @ ( converse_set_a_a_e @ R ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( Yx
= ( produc479206876_set_a @ Y @ X2 ) )
=> ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(1008,plain,
( ( ! [Yx: produc715398134_a_a_e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ Yx @ ( converse_a_e_set_a @ R ) )
=> ~ ! [X2: a > e,Y: set_a] :
( ( Yx
= ( produc1134456688_a_a_e @ Y @ X2 ) )
=> ~ ( member360729153_set_a @ ( produc479206876_set_a @ X2 @ Y ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(1009,plain,
( ( ! [A2: a > e,B2: set_a,R: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ A2 @ B2 ) @ ( converse_set_a_a_e @ R ) )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(1010,plain,
( ( ! [A2: set_a,B2: a > e,R: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ ( converse_a_e_set_a @ R ) )
=> ( member360729153_set_a @ ( produc479206876_set_a @ B2 @ A2 ) @ R ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(1011,plain,
( ( produc100464700_set_a
= ( ^ [P3: produc1965228714_set_a] : ( produc1134456688_a_a_e @ ( produc1809800494_set_a @ P3 ) @ ( produc385678576_set_a @ P3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(1012,plain,
( ( produc755714512_a_a_e
= ( ^ [P3: produc715398134_a_a_e] : ( produc479206876_set_a @ ( produc317566658_a_a_e @ P3 ) @ ( produc1040928388_a_a_e @ P3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(1013,plain,
( ( ! [A2: set_a,B2: a > e,R2: set_Pr204296108_a_a_e,F: set_a > set_a,G: ( a > e ) > a > e] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ A2 @ B2 ) @ R2 )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( F @ A2 ) @ ( G @ B2 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ F @ G ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(1014,plain,
( ( ! [X3: set_a] : ( member_set_a @ X3 @ top_top_set_set_a ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(1015,plain,
( ( ! [X3: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X3 @ top_to1601855068_a_a_e ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(1016,plain,
( ( ! [F: set_a > set_a,G: ( a > e ) > a > e,A2: set_a,B2: a > e] :
( ( produc1443219402_e_a_e @ F @ G @ ( produc1134456688_a_a_e @ A2 @ B2 ) )
= ( produc1134456688_a_a_e @ ( F @ A2 ) @ ( G @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(1017,plain,
( ( ! [F: set_a > set_a,G: ( a > e ) > a > e,X3: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ ( produc1443219402_e_a_e @ F @ G @ X3 ) )
= ( F @ ( produc1040928388_a_a_e @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(1018,plain,
( ( ! [Prod: produc715398134_a_a_e] :
( ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Prod ) @ ( produc317566658_a_a_e @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(1019,plain,
( ( ! [X3: produc1965228714_set_a] :
( ( produc1040928388_a_a_e @ ( produc100464700_set_a @ X3 ) )
= ( produc1809800494_set_a @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(1020,plain,
( ( ! [X3: produc715398134_a_a_e] :
( ( produc1809800494_set_a @ ( produc755714512_a_a_e @ X3 ) )
= ( produc1040928388_a_a_e @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(1021,plain,
( ( ( image_64240033_set_a @ produc1040928388_a_a_e @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(1022,plain,
( ( ! [F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e] : ( member_set_a @ ( F @ X3 ) @ ( image_64240033_set_a @ F @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(1023,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( member_set_a @ B2 @ ( image_64240033_set_a @ F @ top_to1601855068_a_a_e ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(1024,plain,
( ( ! [F: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= ( ! [Y4: set_a] :
? [X4: produc715398134_a_a_e] :
( Y4
= ( F @ X4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(1025,plain,
( ( ! [G: produc715398134_a_a_e > set_a,F: set_a > produc715398134_a_a_e] :
( ! [X2: set_a] :
( ( G @ ( F @ X2 ) )
= X2 )
=> ( ( image_64240033_set_a @ G @ top_to1601855068_a_a_e )
= top_top_set_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(1026,plain,
( ( ! [F: produc715398134_a_a_e > set_a,Y3: set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ~ ! [X2: produc715398134_a_a_e] :
( Y3
!= ( F @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(1027,plain,
( ( ! [F: produc715398134_a_a_e > set_a,Y3: set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ? [X2: produc715398134_a_a_e] :
( Y3
= ( F @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(1028,plain,
( ( ! [F: produc715398134_a_a_e > set_a,G: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ F @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ( ( ( image_64240033_set_a @ G @ top_to1601855068_a_a_e )
= top_top_set_set_a )
=> ( ( image_2101504031_set_a @ ( produc387505142_set_a @ F @ G ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(1029,plain,
( ( ! [A2: set_a] :
( ( ord_less_eq_set_a @ top_top_set_a @ A2 )
=> ( A2 = top_top_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(1030,plain,
( ( ! [A2: set_a] :
( ( ord_less_eq_set_a @ top_top_set_a @ A2 )
= ( A2 = top_top_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(1031,plain,
( ( ! [A2: set_a] : ( ord_less_eq_set_a @ A2 @ top_top_set_a ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(1032,plain,
( ( ! [A: set_a] : ( ord_less_eq_set_a @ A @ top_top_set_a ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(1033,plain,
( ( ! [X3: produc715398134_a_a_e,Y3: set_a,Z2: a > e] :
( ( X3
= ( produc1134456688_a_a_e @ Y3 @ Z2 ) )
=> ( ( produc317566658_a_a_e @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(1034,plain,
( ( ! [X3: set_a,Y3: a > e,A2: a > e] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) )
= A2 )
=> ( Y3 = A2 ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(1035,plain,
( ( ! [X1: set_a,X22: a > e] :
( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(1036,plain,
( ( ! [B2: a > e,P: produc715398134_a_a_e] :
( ( B2
= ( produc317566658_a_a_e @ P ) )
= ( ? [A3: set_a] :
( P
= ( produc1134456688_a_a_e @ A3 @ B2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(1037,plain,
( ( ( ^ [Y2: produc715398134_a_a_e,Z: produc715398134_a_a_e] : ( Y2 = Z ) )
= ( ^ [S3: produc715398134_a_a_e,T: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ S3 )
= ( produc1040928388_a_a_e @ T ) )
& ( ( produc317566658_a_a_e @ S3 )
= ( produc317566658_a_a_e @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(1038,plain,
( ( ! [Prod: produc715398134_a_a_e,Prod2: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ Prod )
= ( produc1040928388_a_a_e @ Prod2 ) )
& ( ( produc317566658_a_a_e @ Prod )
= ( produc317566658_a_a_e @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(1039,plain,
( ( ! [P: produc715398134_a_a_e,Q2: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ P )
= ( produc1040928388_a_a_e @ Q2 ) )
=> ( ( ( produc317566658_a_a_e @ P )
= ( produc317566658_a_a_e @ Q2 ) )
=> ( P = Q2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(1040,plain,
( ( ! [A: set_set_a] :
( ! [X2: set_a] : ( member_set_a @ X2 @ A )
=> ( top_top_set_set_a = A ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(1041,plain,
( ( ! [A: set_Pr204296108_a_a_e] :
( ! [X2: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X2 @ A )
=> ( top_to1601855068_a_a_e = A ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(1042,plain,
( ( ? [X2: set_a] : ( member_set_a @ X2 @ top_top_set_set_a ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(1043,plain,
( ( ? [X2: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X2 @ top_to1601855068_a_a_e ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(1044,plain,
( ( ! [T2: produc715398134_a_a_e] :
( T2
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ T2 ) @ ( produc317566658_a_a_e @ T2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(1045,plain,
( ( ! [Prod: produc715398134_a_a_e] :
( Prod
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Prod ) @ ( produc317566658_a_a_e @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(1046,plain,
( ( ! [C2: produc715398134_a_a_e,F: set_a > set_a,G: ( a > e ) > a > e,R2: set_Pr204296108_a_a_e] :
( ( member1258382221_a_a_e @ C2 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ F @ G ) @ R2 ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( C2
= ( produc1134456688_a_a_e @ ( F @ X2 ) @ ( G @ Y ) ) )
=> ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(1047,plain,
( ( ! [P2: ( a > e ) > set_a > $o,Y3: a > e,X3: set_a] :
( ( P2 @ Y3 @ X3 )
=> ( P2 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(1048,plain,
( ( ! [P2: set_a > $o,P: set_a,Q: ( a > e ) > $o,Q2: a > e] :
( ( P2 @ P )
=> ( ( Q @ Q2 )
=> ( ( P2 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ P @ Q2 ) ) )
& ( Q @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ P @ Q2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(1049,plain,
( ( ! [P2: set_a > ( a > e ) > $o,X3: set_a,Y3: a > e,A2: produc715398134_a_a_e] :
( ( P2 @ X3 @ Y3 )
=> ( ( A2
= ( produc1134456688_a_a_e @ X3 @ Y3 ) )
=> ( P2 @ ( produc1040928388_a_a_e @ A2 ) @ ( produc317566658_a_a_e @ A2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(1050,plain,
( ( top_top_set_a_o
= ( ^ [X4: set_a] : ( member_set_a @ X4 @ top_top_set_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(1051,plain,
( ( top_to2000253225_a_e_o
= ( ^ [X4: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X4 @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(1052,plain,
( ( ! [P2: ( a > e ) > set_a > $o,P: produc715398134_a_a_e] :
( ( P2 @ ( produc317566658_a_a_e @ P ) @ ( produc1040928388_a_a_e @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
~ ( P2 @ Y @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(1053,plain,
( ( ! [X6: set_set_a,A: set_Pr204296108_a_a_e,Y7: set_a_e,P2: set_a > ( a > e ) > $o,Q: set_a > ( a > e ) > $o] :
( ( X6
= ( image_64240033_set_a @ produc1040928388_a_a_e @ A ) )
=> ( ( Y7
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ A ) )
=> ( ! [X2: set_a] :
( ( member_set_a @ X2 @ X6 )
=> ! [Xa2: a > e] :
( ( member_a_e @ Xa2 @ Y7 )
=> ( ( P2 @ X2 @ Xa2 )
=> ( Q @ X2 @ Xa2 ) ) ) )
=> ( ( ord_le700723212_a_a_e @ A @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ P2 ) ) )
=> ( ord_le700723212_a_a_e @ A @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ Q ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(1054,plain,
( ( bNF_sn375433437_a_a_e
= ( ^ [P4: set_a > set_a > $o,Q3: set_a > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) @ ( produc317566658_a_a_e @ Ac ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(1055,plain,
( ( ! [X3: produc715398134_a_a_e,A: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ X3 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ A ) ) )
=> ( A @ ( produc1040928388_a_a_e @ X3 ) @ ( produc317566658_a_a_e @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(1056,plain,
( ( bNF_fs1024561536_e_a_e
= ( ^ [P4: set_a > ( a > e ) > $o,Q3: ( a > e ) > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Ac ) @ ( bNF_pi1175744974_e_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(1057,plain,
( ( ! [Z2: set_a,C2: set_a > ( a > e ) > set_set_a,P: produc715398134_a_a_e] :
( ( member_set_a @ Z2 @ ( produc1620938593_set_a @ C2 @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( P
= ( produc1134456688_a_a_e @ X2 @ Y ) )
=> ~ ( member_set_a @ Z2 @ ( C2 @ X2 @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(1058,plain,
( ( ! [Z2: produc715398134_a_a_e,C2: set_a > ( a > e ) > set_Pr204296108_a_a_e,P: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ Z2 @ ( produc1096319049_a_a_e @ C2 @ P ) )
=> ~ ! [X2: set_a,Y: a > e] :
( ( P
= ( produc1134456688_a_a_e @ X2 @ Y ) )
=> ~ ( member1258382221_a_a_e @ Z2 @ ( C2 @ X2 @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(1059,plain,
( ( fun_in_rel_set_a_a_e
= ( ^ [R3: set_Pr204296108_a_a_e,X4: set_a,Y4: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X4 @ Y4 ) @ R3 ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(1060,plain,
( ( ! [Ac2: produc715398134_a_a_e,P2: set_a > ( a > e ) > $o,Q: ( a > e ) > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ Ac2 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ P2 @ Q ) ) ) )
=> ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ P2 @ Q @ Ac2 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ P2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(1061,plain,
( ( ! [Ac2: produc715398134_a_a_e,P2: set_a > set_a > $o,Q: set_a > ( a > e ) > $o] :
( ( member1258382221_a_a_e @ Ac2 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ P2 @ Q ) ) ) )
=> ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ P2 @ Q @ Ac2 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(1062,plain,
( ( ! [B2: set_a,F: set_a > set_a,X3: set_a,C2: a > e,G: set_a > a > e,A: set_set_a] :
( ( B2
= ( F @ X3 ) )
=> ( ( C2
= ( G @ X3 ) )
=> ( ( member_set_a @ X3 @ A )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ C2 ) @ ( bNF_Gr1872575811_a_a_e @ A @ F @ G ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(1063,plain,
( ( ! [B2: set_a,F: produc715398134_a_a_e > set_a,X3: produc715398134_a_a_e,C2: a > e,G: produc715398134_a_a_e > a > e,A: set_Pr204296108_a_a_e] :
( ( B2
= ( F @ X3 ) )
=> ( ( C2
= ( G @ X3 ) )
=> ( ( member1258382221_a_a_e @ X3 @ A )
=> ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ B2 @ C2 ) @ ( bNF_Gr2072183031_a_a_e @ A @ F @ G ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(1064,plain,
( ( ~ thesis ) = $true ),
inference(copy,[status(thm)],[710]) ).
thf(1065,plain,
( ( ! [SX0: set_set_a,SX1: a > set_a,SX2: set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ ( image_a_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_a_set_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[771]) ).
thf(1066,plain,
( ( ! [SX0: set_a,SX1: set_set_a,SX2: set_a > set_a] :
( ~ ( member_set_a @ SX0 @ SX1 )
| ( member_set_a @ ( SX2 @ SX0 ) @ ( image_set_a_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[895]) ).
thf(1067,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a] :
( ~ ( ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ SX1 @ SX0 ) )
| ~ ~ ( member_set_a @ SX2 @ SX0 )
| ~ ( member_set_a @ SX2 @ SX1 )
| ( ord_le318720350_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[961]) ).
thf(1068,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a > set_a,SX2: set_set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ ( image_402591269_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_402591269_set_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[775]) ).
thf(1069,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr305929312_set_a,SX3: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ ( converse_a_e_set_a @ SX2 ) )
| ~ ! [SX4: a > e,SX5: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX4 @ SX5 ) @ SX2 )
| ( SX3 @ SX5 @ SX4 ) )
| ( SX3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1000]) ).
thf(1070,plain,
( ( ! [SX0: set_a,SX1: set_Pr204296108_a_a_e,SX2: set_a > $o] :
( ~ ( member_set_a @ SX0 @ ( domain_set_a_a_e @ SX1 ) )
| ~ ! [SX3: set_a,SX4: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX3 @ SX4 ) @ SX1 )
| ( SX2 @ SX3 ) )
| ( SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[992]) ).
thf(1071,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a > produc715398134_a_a_e,SX2: set_a,SX3: set_set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_set_a @ SX2 @ SX3 )
| ( member1258382221_a_a_e @ SX0 @ ( image_210900495_a_a_e @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[734]) ).
thf(1072,plain,
( ( ! [SX0: set_set_a,SX1: produc715398134_a_a_e > set_a,SX2: set_Pr204296108_a_a_e] :
( ~ ( ord_le318720350_set_a @ SX0 @ ( image_64240033_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX3 @ SX2 )
| ( SX0
!= ( image_64240033_set_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[769]) ).
thf(1073,plain,
( ( ! [SX0: set_a] :
( ~ ( member_set_a @ SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ SX0 )
| ~ ( ord_less_eq_set_a @ a2 @ SX0 )
| ~ ( ord_less_eq_set_a @ a3 @ SX0 )
| thesis ) )
= $true ),
inference(unfold_def,[status(thm)],[711]) ).
thf(1074,plain,
( ( ! [SX0: set_set_a] :
( ~ ! [SX1: set_a] : ( member_set_a @ SX1 @ SX0 )
| ( top_top_set_set_a = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1040]) ).
thf(1075,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX2 )
| ( ord_le318720350_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[847]) ).
thf(1076,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ SX0 @ ( converse_a_e_set_a @ SX1 ) )
| ~ ! [SX2: a > e,SX3: set_a] :
( ( SX0
!= ( produc1134456688_a_a_e @ SX3 @ SX2 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX2 @ SX3 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1008]) ).
thf(1077,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX2 )
| ( ord_le2103863998_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[848]) ).
thf(1078,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a > $o > set_a,SX3: $o > set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[870]) ).
thf(1079,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[796]) ).
thf(1080,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[825]) ).
thf(1081,plain,
( ( ( ^ [SX0: $o > set_a,SX1: $o > set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[864]) ).
thf(1082,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: produc715398134_a_a_e > a,SX2: set_a] :
( ~ ! [SX3: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX3 @ SX0 )
| ( member_a @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[760]) ).
thf(1083,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a > set_set_set_a,SX3: set_set_set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[869]) ).
thf(1084,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[910]) ).
thf(1085,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a,SX2: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX2 )
| ( ord_less_eq_o_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[819]) ).
thf(1086,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: produc715398134_a_a_e > produc715398134_a_a_e,SX2: set_Pr204296108_a_a_e] :
( ~ ! [SX3: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX3 @ SX0 )
| ( member1258382221_a_a_e @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[763]) ).
thf(1087,plain,
( ( ! [SX0: a > a,SX1: set_a,SX2: set_a > $o] :
( ( ! [SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX3 @ ( image_a_a @ SX0 @ SX1 ) )
| ( SX2 @ SX3 ) ) )
= ( ! [SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX3 @ SX1 )
| ( SX2 @ ( image_a_a @ SX0 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[924]) ).
thf(1088,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a > a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SX2 @ SX0 ) @ ( image_set_a_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[751]) ).
thf(1089,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ( member1258382221_a_a_e @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[912]) ).
thf(1090,plain,
( ( ~ ! [SX0: set_a] :
~ ( member_set_a @ SX0 @ top_top_set_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[1042]) ).
thf(1091,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ ( pow_a @ SX0 ) @ ( pow_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[973]) ).
thf(1092,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a > set_a,SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[881]) ).
thf(1093,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX2 )
| ( ord_less_eq_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[850]) ).
thf(1094,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a > $o > set_a,SX3: $o > set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[875]) ).
thf(1095,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a,SX2: a > e] :
( ( SX0
!= ( produc1134456688_a_a_e @ SX1 @ SX2 ) )
| ( ( produc317566658_a_a_e @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1033]) ).
thf(1096,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ SX2 )
| ( member360729153_set_a @ ( produc479206876_set_a @ SX1 @ SX0 ) @ ( converse_set_a_a_e @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1002]) ).
thf(1097,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: ( $o > set_a ) > set_Pr204296108_a_a_e,SX2: $o > set_a,SX3: $o > set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_o_set_a @ SX2 @ SX3 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_le700723212_a_a_e @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le700723212_a_a_e @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[876]) ).
thf(1098,plain,
( ( ! [SX0: set_set_a,SX1: set_a > set_a,SX2: set_set_a,SX3: set_a] :
( ~ ! [SX4: set_a] :
( ~ ( member_set_a @ SX4 @ SX0 )
| ( member_set_a @ ( SX1 @ SX4 ) @ SX2 ) )
| ~ ( member_set_a @ SX3 @ SX0 )
| ( member_set_a @ ( SX1 @ SX3 ) @ ( image_set_a_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[947]) ).
thf(1099,plain,
( ( ! [SX0: set_a,SX1: set_a > set_a,SX2: set_a,SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_a @ SX2 @ SX3 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[882]) ).
thf(1100,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[731]) ).
thf(1101,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: set_Pr204296108_a_a_e] :
( ( SX0 != SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX2 )
| ( ord_le700723212_a_a_e @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[831]) ).
thf(1102,plain,
( ( ! [SX0: set_a,SX1: produc715398134_a_a_e > set_a,SX2: produc715398134_a_a_e] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ( member_set_a @ SX0 @ ( image_64240033_set_a @ SX1 @ top_to1601855068_a_a_e ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1023]) ).
thf(1103,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX2 )
| ( ord_le2103863998_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[818]) ).
thf(1104,plain,
( ( ! [SX0: set_a,SX1: a > a,SX2: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ ( image_a_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_a_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[768]) ).
thf(1105,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_a,SX3: a > e] :
( ( ( produc1134456688_a_a_e @ SX0 @ SX1 )
!= ( produc1134456688_a_a_e @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[929]) ).
thf(1106,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) )
| ( ord_le318720350_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[726]) ).
thf(1107,plain,
( ( ! [SX0: set_set_a,SX1: set_a > produc715398134_a_a_e,SX2: set_Pr204296108_a_a_e,SX3: set_a] :
( ~ ! [SX4: set_a] :
( ~ ( member_set_a @ SX4 @ SX0 )
| ( member1258382221_a_a_e @ ( SX1 @ SX4 ) @ SX2 ) )
| ~ ( member_set_a @ SX3 @ SX0 )
| ( member1258382221_a_a_e @ ( SX1 @ SX3 ) @ ( image_210900495_a_a_e @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[949]) ).
thf(1108,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: produc715398134_a_a_e > produc715398134_a_a_e,SX2: produc715398134_a_a_e,SX3: set_Pr204296108_a_a_e] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member1258382221_a_a_e @ SX2 @ SX3 )
| ( member1258382221_a_a_e @ SX0 @ ( image_625620211_a_a_e @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[736]) ).
thf(1109,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a > ( a > e ) > $o,SX2: ( a > e ) > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SX0 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ SX1 @ SX2 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ SX1 @ SX2 @ SX0 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1060]) ).
thf(1110,plain,
( ( ! [SX0: set_Pr204296108_a_a_e > set_set_a,SX1: set_se821189730_a_a_e,SX2: set_set_set_a] :
( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SX0 @ SX1 ) @ SX2 )
= ( ! [SX3: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SX3 @ SX1 )
| ( member_set_set_a @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[782]) ).
thf(1111,plain,
( ( ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 )
| ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[801]) ).
thf(1112,plain,
( ( ! [SX0: a > a,SX1: set_a,SX2: set_a] :
( ( ord_less_eq_set_a @ ( image_a_a @ SX0 @ SX1 ) @ SX2 )
= ( ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX1 )
| ( member_a @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[779]) ).
thf(1113,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > set_a,SX3: produc715398134_a_a_e > set_a,SX4: set_set_a > set_a] :
( ( SX0 != SX1 )
| ~ ! [SX5: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX5 @ SX1 )
| ( ( SX2 @ SX5 )
= ( SX3 @ SX5 ) ) )
| ( ( SX4 @ ( image_64240033_set_a @ SX2 @ SX0 ) )
= ( SX4 @ ( image_64240033_set_a @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[965]) ).
thf(1114,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ( SX0 != SX1 )
| ~ ( ord_less_eq_set_a @ SX2 @ SX0 )
| ( ord_less_eq_set_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[941]) ).
thf(1115,plain,
( ( ord_less_eq_o_set_a
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_set_a @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[975]) ).
thf(1116,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[798]) ).
thf(1117,plain,
( ( ! [SX0: set_a] :
( ~ ( ord_less_eq_set_a @ top_top_set_a @ SX0 )
| ( SX0 = top_top_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1029]) ).
thf(1118,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_set_a] :
( ( SX0 != SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX2 )
| ( ord_le2103863998_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[833]) ).
thf(1119,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a > set_a > $o,SX2: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SX0 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ SX1 @ SX2 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ SX1 @ SX2 @ SX0 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1061]) ).
thf(1120,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_Pr204296108_a_a_e,SX2: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SX0 @ SX1 ) @ SX2 )
= ( ! [SX3: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX3 @ SX1 )
| ( member_set_a @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[783]) ).
thf(1121,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ ( finite_Fpow_a @ SX0 ) @ ( finite_Fpow_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[939]) ).
thf(1122,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: produc715398134_a_a_e] :
( ~ ~ ( ( ( produc1040928388_a_a_e @ SX0 )
!= ( produc1040928388_a_a_e @ SX1 ) )
| ( ( produc317566658_a_a_e @ SX0 )
!= ( produc317566658_a_a_e @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1038]) ).
thf(1123,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ( ( ord_le700723212_a_a_e @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[841]) ).
thf(1124,plain,
( ( ! [SX0: a > e,SX1: set_Pr204296108_a_a_e,SX2: ( a > e ) > $o] :
( ~ ( member_a_e @ SX0 @ ( range_set_a_a_e @ SX1 ) )
| ~ ! [SX3: set_a,SX4: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX3 @ SX4 ) @ SX1 )
| ( SX2 @ SX4 ) )
| ( SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[986]) ).
thf(1125,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[906]) ).
thf(1126,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX2 )
| ( ord_le700723212_a_a_e @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[816]) ).
thf(1127,plain,
( ( ( ^ [SX0: set_set_a,SX1: set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[837]) ).
thf(1128,plain,
( ( ! [SX0: a > e,SX1: set_a,SX2: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ SX0 @ SX1 ) @ ( converse_set_a_a_e @ SX2 ) )
= ( ~ ! [SX3: set_a] :
~ ~ ! [SX4: a > e] :
~ ~ ( ~ ~ ( ( SX0 != SX4 )
| ( SX1 != SX3 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX3 @ SX4 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1003]) ).
thf(1129,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_a > a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ( ord_less_eq_set_a @ ( image_set_set_a_a @ SX2 @ SX0 ) @ ( image_set_set_a_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[754]) ).
thf(1130,plain,
( ( ! [SX0: set_a,SX1: produc715398134_a_a_e > set_a,SX2: produc715398134_a_a_e,SX3: a > e,SX4: produc715398134_a_a_e > a > e,SX5: set_Pr204296108_a_a_e] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ( SX3
!= ( SX4 @ SX2 ) )
| ~ ( member1258382221_a_a_e @ SX2 @ SX5 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX3 ) @ ( bNF_Gr2072183031_a_a_e @ SX5 @ SX1 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1063]) ).
thf(1131,plain,
( ( ! [SX0: set_set_set_a,SX1: set_a > set_set_a,SX2: set_set_a] :
( ( ord_le2103863998_set_a @ SX0 @ ( image_1930509541_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_1930509541_set_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[792]) ).
thf(1132,plain,
( ( ! [SX0: a > e,SX1: set_a,SX2: set_Pr204296108_a_a_e,SX3: ( a > e ) > set_a > $o] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX0 @ SX1 ) @ ( converse_set_a_a_e @ SX2 ) )
| ~ ! [SX4: set_a,SX5: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX4 @ SX5 ) @ SX2 )
| ( SX3 @ SX5 @ SX4 ) )
| ( SX3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[999]) ).
thf(1133,plain,
( ( ! [SX0: set_a,SX1: a > a,SX2: set_a] :
( ~ ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ( member_a @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_less_eq_set_a @ ( image_a_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[764]) ).
thf(1134,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_a > produc715398134_a_a_e] :
( ~ ! [SX2: set_a] :
( ( SX0 @ ( SX1 @ SX2 ) )
= SX2 )
| ( ( image_64240033_set_a @ SX0 @ top_to1601855068_a_a_e )
= top_top_set_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1025]) ).
thf(1135,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a > set_set_a,SX3: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le318720350_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[871]) ).
thf(1136,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX2 @ SX0 )
| ( ord_le2103863998_set_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[808]) ).
thf(1137,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ SX0 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_64240033_set_a @ SX1 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_2101504031_set_a @ ( produc387505142_set_a @ SX0 @ SX1 ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1028]) ).
thf(1138,plain,
( ( ( ^ [SX0: produc715398134_a_a_e,SX1: produc715398134_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc715398134_a_a_e,SX1: produc715398134_a_a_e] :
~ ( ( ( produc1040928388_a_a_e @ SX0 )
!= ( produc1040928388_a_a_e @ SX1 ) )
| ( ( produc317566658_a_a_e @ SX0 )
!= ( produc317566658_a_a_e @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1037]) ).
thf(1139,plain,
( ( ! [SX0: set_set_a,SX1: set_a > set_a,SX2: set_set_a] :
( ( ord_le318720350_set_a @ SX0 @ ( image_set_a_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_set_a_set_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[789]) ).
thf(1140,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[799]) ).
thf(1141,plain,
( ( ! [SX0: set_a > a,SX1: set_set_a,SX2: set_a] :
( ( ord_less_eq_set_a @ ( image_set_a_a @ SX0 @ SX1 ) @ SX2 )
= ( ! [SX3: set_a] :
( ~ ( member_set_a @ SX3 @ SX1 )
| ( member_a @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[778]) ).
thf(1142,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_Pr204296108_a_a_e,SX2: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SX0 @ SX1 ) @ SX2 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SX0 ) @ ( pow_Pr328302361_a_a_e @ SX1 ) ) @ ( pow_set_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[964]) ).
thf(1143,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[909]) ).
thf(1144,plain,
( ( ! [SX0: a > e,SX1: set_a > a > e,SX2: set_a,SX3: set_set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_set_a @ SX2 @ SX3 )
| ( member_a_e @ SX0 @ ( image_set_a_a_e @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[742]) ).
thf(1145,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_o_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[854]) ).
thf(1146,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( member_set_a @ SX0 @ ( pow_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[969]) ).
thf(1147,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX2 )
| ( ord_less_eq_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[820]) ).
thf(1148,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) )
| ~ ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX2 @ SX1 )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[963]) ).
thf(1149,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a,SX2: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX2 @ SX0 )
| ( ord_less_eq_o_set_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[809]) ).
thf(1150,plain,
( ( ! [SX0: set_a,SX1: set_Pr204296108_a_a_e] :
( ( member_set_a @ SX0 @ ( domain_set_a_a_e @ SX1 ) )
= ( ~ ! [SX2: set_a] :
~ ~ ! [SX3: a > e] :
~ ~ ( ( SX0 != SX2 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[990]) ).
thf(1151,plain,
( ( ! [SX0: set_set_a,SX1: set_a > set_a,SX2: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ ( image_set_a_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_set_a_set_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[773]) ).
thf(1152,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[856]) ).
thf(1153,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: a > e] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1034]) ).
thf(1154,plain,
( ( ! [SX0: set_a,SX1: produc715398134_a_a_e > set_a,SX2: produc715398134_a_a_e,SX3: set_Pr204296108_a_a_e] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member1258382221_a_a_e @ SX2 @ SX3 )
| ( member_set_a @ SX0 @ ( image_64240033_set_a @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[735]) ).
thf(1155,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ! [SX2: a] :
~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ~ ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[956]) ).
thf(1156,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ( ( ord_less_eq_o_set_a @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[844]) ).
thf(1157,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_le2103863998_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[828]) ).
thf(1158,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a,SX2: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX2 )
| ( ord_less_eq_o_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[849]) ).
thf(1159,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[840]) ).
thf(1160,plain,
( ( ! [SX0: set_a,SX1: produc715398134_a_a_e] :
( ( SX0
= ( produc1040928388_a_a_e @ SX1 ) )
= ( ~ ! [SX2: a > e] :
( SX1
!= ( produc1134456688_a_a_e @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[919]) ).
thf(1161,plain,
( ( ! [SX0: set_a,SX1: set_set_a > a,SX2: set_set_set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ ( image_set_set_a_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_set_set_a_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[772]) ).
thf(1162,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ! [SX2: set_a,SX3: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX3 ) @ SX0 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX3 ) @ SX1 ) )
| ( ord_le700723212_a_a_e @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[967]) ).
thf(1163,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[732]) ).
thf(1164,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ ( converse_a_e_set_a @ SX2 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1010]) ).
thf(1165,plain,
( ( ! [SX0: a > e,SX1: set_a,SX2: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX0 @ SX1 ) @ ( converse_set_a_a_e @ SX2 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1009]) ).
thf(1166,plain,
( ( ! [SX0: ( a > e ) > set_a > $o,SX1: a > e,SX2: set_a] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX1 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1047]) ).
thf(1167,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX2 )
| ( ord_le318720350_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[817]) ).
thf(1168,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[903]) ).
thf(1169,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[855]) ).
thf(1170,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a > a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ord_less_eq_set_a @ ( image_a_a @ SX2 @ SX0 ) @ ( image_a_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[748]) ).
thf(1171,plain,
( ( ! [SX0: a,SX1: ( a > e ) > a,SX2: a > e,SX3: set_a_e] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_a_e @ SX2 @ SX3 )
| ( member_a @ SX0 @ ( image_a_e_a @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[741]) ).
thf(1172,plain,
( ( ~ ! [SX0: produc715398134_a_a_e] :
~ ( member1258382221_a_a_e @ SX0 @ top_to1601855068_a_a_e ) )
= $true ),
inference(unfold_def,[status(thm)],[1043]) ).
thf(1173,plain,
( ( ! [SX0: set_set_a,SX1: set_a > set_a,SX2: set_set_a] :
( ~ ! [SX3: set_a] :
( ~ ( member_set_a @ SX3 @ SX0 )
| ( member_set_a @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[759]) ).
thf(1174,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a > set_a,SX2: ( a > e ) > a > e,SX3: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX0 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SX1 @ SX2 ) @ SX3 ) )
| ~ ! [SX4: set_a,SX5: a > e] :
( ( SX0
!= ( produc1134456688_a_a_e @ ( SX1 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX4 @ SX5 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1046]) ).
thf(1175,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ( ( ord_le2103863998_set_a @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[843]) ).
thf(1176,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_a > set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ SX2 @ SX0 ) @ ( image_1956910981_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[757]) ).
thf(1177,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ SX2 )
| ( member_a_e @ SX1 @ ( range_set_a_a_e @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[985]) ).
thf(1178,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 )
| ~ ! [SX2: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ~ ~ ( member1258382221_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[959]) ).
thf(1179,plain,
( ( ! [SX0: set_set_set_a,SX1: a > set_set_a,SX2: set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ ( image_a_set_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_a_set_set_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[774]) ).
thf(1180,plain,
( ( ! [SX0: a > e,SX1: set_Pr204296108_a_a_e] :
( ( member_a_e @ SX0 @ ( range_set_a_a_e @ SX1 ) )
= ( ~ ! [SX2: set_a] :
~ ~ ! [SX3: a > e] :
~ ~ ( ( SX0 != SX3 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX3 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[984]) ).
thf(1181,plain,
( ( ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[863]) ).
thf(1182,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[797]) ).
thf(1183,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX2 @ SX0 )
| ( ord_le700723212_a_a_e @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[806]) ).
thf(1184,plain,
( ( ! [SX0: set_set_a,SX1: set_Pr204296108_a_a_e,SX2: set_a_e,SX3: set_a > ( a > e ) > $o,SX4: set_a > ( a > e ) > $o] :
( ( SX0
!= ( image_64240033_set_a @ produc1040928388_a_a_e @ SX1 ) )
| ( SX2
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SX1 ) )
| ~ ! [SX5: set_a] :
( ~ ( member_set_a @ SX5 @ SX0 )
| ! [SX6: a > e] :
( ~ ( member_a_e @ SX6 @ SX2 )
| ~ ( SX3 @ SX5 @ SX6 )
| ( SX4 @ SX5 @ SX6 ) ) )
| ~ ( ord_le700723212_a_a_e @ SX1 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SX3 ) ) )
| ( ord_le700723212_a_a_e @ SX1 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1053]) ).
thf(1185,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ( ord_le318720350_set_a @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[842]) ).
thf(1186,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ( SX0 != SX1 )
| ( ord_le700723212_a_a_e @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[851]) ).
thf(1187,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a > set_set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ord_le2103863998_set_a @ ( image_a_set_set_a @ SX2 @ SX0 ) @ ( image_a_set_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[752]) ).
thf(1188,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a > set_set_a,SX3: set_set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le318720350_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[867]) ).
thf(1189,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[800]) ).
thf(1190,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[907]) ).
thf(1191,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SX0 @ SX1 )
| ( member_set_a @ ( SX2 @ SX0 ) @ ( image_64240033_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[945]) ).
thf(1192,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: produc715398134_a_a_e > set_a,SX2: set_set_a] :
( ~ ! [SX3: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX3 @ SX0 )
| ( member_set_a @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[762]) ).
thf(1193,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_le318720350_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[827]) ).
thf(1194,plain,
( ( ! [SX0: a,SX1: set_a > a,SX2: set_a,SX3: set_set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_set_a @ SX2 @ SX3 )
| ( member_a @ SX0 @ ( image_set_a_a @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[738]) ).
thf(1195,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ! [SX2: set_a] :
~ ~ ( ~ ( member_set_a @ SX2 @ SX0 )
| ~ ~ ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[932]) ).
thf(1196,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) )
= ( ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[899]) ).
thf(1197,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_a] :
( ( ( image_64240033_set_a @ SX0 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SX2: produc715398134_a_a_e] :
( SX1
!= ( SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1026]) ).
thf(1198,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ( SX0 != SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX2 )
| ( ord_less_eq_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[835]) ).
thf(1199,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX2 @ SX0 )
| ( ord_less_eq_set_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[810]) ).
thf(1200,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[857]) ).
thf(1201,plain,
( ( ! [SX0: produc715398134_a_a_e > $o,SX1: set_a,SX2: a > e] :
( ~ ( produc952037978_a_e_o @ SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc1134456688_a_a_e @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[977]) ).
thf(1202,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[728]) ).
thf(1203,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: produc715398134_a_a_e > produc715398134_a_a_e,SX2: set_Pr204296108_a_a_e,SX3: produc715398134_a_a_e] :
( ~ ! [SX4: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX4 @ SX0 )
| ( member1258382221_a_a_e @ ( SX1 @ SX4 ) @ SX2 ) )
| ~ ( member1258382221_a_a_e @ SX3 @ SX0 )
| ( member1258382221_a_a_e @ ( SX1 @ SX3 ) @ ( image_625620211_a_a_e @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[950]) ).
thf(1204,plain,
( ( ! [SX0: set_a,SX1: produc715398134_a_a_e > set_a,SX2: set_Pr204296108_a_a_e] :
( ( member_set_a @ SX0 @ ( image_64240033_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SX3 @ SX2 )
| ( SX0
!= ( SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[894]) ).
thf(1205,plain,
( ( ! [SX0: set_set_a,SX1: ( $o > set_a ) > set_set_a,SX2: $o > set_a,SX3: $o > set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_o_set_a @ SX2 @ SX3 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le318720350_set_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[877]) ).
thf(1206,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_le700723212_a_a_e @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[826]) ).
thf(1207,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr204296108_a_a_e,SX3: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[968]) ).
thf(1208,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX2 )
| ( ord_le700723212_a_a_e @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[846]) ).
thf(1209,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ! [SX2: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ~ ~ ( member1258382221_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[933]) ).
thf(1210,plain,
( ( ! [SX0: set_a,SX1: set_set_a,SX2: set_a > set_a] :
( ~ ( member_set_a @ SX0 @ SX1 )
| ( member_set_a @ ( SX2 @ SX0 ) @ ( image_set_a_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[943]) ).
thf(1211,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > set_a,SX3: produc715398134_a_a_e > set_a] :
( ( SX0 != SX1 )
| ~ ! [SX4: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX4 @ SX1 )
| ( ( SX2 @ SX4 )
= ( SX3 @ SX4 ) ) )
| ( ( image_64240033_set_a @ SX2 @ SX0 )
= ( image_64240033_set_a @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[892]) ).
thf(1212,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a,SX2: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_less_eq_o_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[829]) ).
thf(1213,plain,
( ( ! [SX0: set_a,SX1: set_Pr204296108_a_a_e] :
( ~ ( member_set_a @ SX0 @ ( domain_set_a_a_e @ SX1 ) )
| ~ ! [SX2: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[987]) ).
thf(1214,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX0 @ SX1 )
| ( member1258382221_a_a_e @ ( SX2 @ SX0 ) @ ( image_625620211_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[946]) ).
thf(1215,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[911]) ).
thf(1216,plain,
( ( ! [SX0: set_set_a,SX1: a > set_a,SX2: set_a] :
( ( ord_le318720350_set_a @ SX0 @ ( image_a_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_a_set_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[787]) ).
thf(1217,plain,
( ( ! [SX0: produc715398134_a_a_e > $o,SX1: produc715398134_a_a_e] :
( ~ ! [SX2: set_a,SX3: a > e] : ( SX0 @ ( produc1134456688_a_a_e @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[930]) ).
thf(1218,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_Pr204296108_a_a_e,SX2: set_set_a > $o] :
( ( ! [SX3: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX3 @ ( image_64240033_set_a @ SX0 @ SX1 ) )
| ( SX2 @ SX3 ) ) )
= ( ! [SX3: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX3 @ SX1 )
| ( SX2 @ ( image_64240033_set_a @ SX0 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[923]) ).
thf(1219,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_a > set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ ( image_402591269_set_a @ SX2 @ SX0 ) @ ( image_402591269_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[756]) ).
thf(1220,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX2 )
| ( ord_less_eq_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[901]) ).
thf(1221,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[913]) ).
thf(1222,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_Pr204296108_a_a_e,SX2: set_a > $o] :
( ~ ! [SX3: set_a] :
( ~ ( member_set_a @ SX3 @ ( image_64240033_set_a @ SX0 @ SX1 ) )
| ( SX2 @ SX3 ) )
| ! [SX3: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX3 @ SX1 )
| ( SX2 @ ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[891]) ).
thf(1223,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a] :
( ~ ( ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ SX1 @ SX0 ) )
| ~ ( member_set_a @ SX2 @ SX0 )
| ~ ~ ( member_set_a @ SX2 @ SX1 )
| ( ord_le318720350_set_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[936]) ).
thf(1224,plain,
( ( ! [SX0: produc715398134_a_a_e > $o,SX1: produc715398134_a_a_e] :
( ~ ! [SX2: set_a,SX3: a > e] : ( SX0 @ ( produc1134456688_a_a_e @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[927]) ).
thf(1225,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a,SX2: set_set_set_a > set_a,SX3: set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_set_set_a,SX5: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[872]) ).
thf(1226,plain,
( ( ! [SX0: set_a,SX1: a > set_a,SX2: a,SX3: set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_a @ SX2 @ SX3 )
| ( member_set_a @ SX0 @ ( image_a_set_a @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[739]) ).
thf(1227,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( member_set_a @ SX0 @ ( pow_a @ SX1 ) )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[972]) ).
thf(1228,plain,
( ( ! [SX0: set_a,SX1: set_a > a,SX2: set_set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ ( image_set_a_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_set_a_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[770]) ).
thf(1229,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ( member1258382221_a_a_e @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[915]) ).
thf(1230,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 )
| ~ ! [SX2: a] :
~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ~ ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[960]) ).
thf(1231,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[822]) ).
thf(1232,plain,
( ( ord_le700723212_a_a_e
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
! [SX2: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ( member1258382221_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[904]) ).
thf(1233,plain,
( ( ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[836]) ).
thf(1234,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[858]) ).
thf(1235,plain,
( ( ! [SX0: a > e,SX1: produc715398134_a_a_e] :
( ( SX0
= ( produc317566658_a_a_e @ SX1 ) )
= ( ~ ! [SX2: set_a] :
( SX1
!= ( produc1134456688_a_a_e @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1036]) ).
thf(1236,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ~ ( member1258382221_a_a_e @ SX2 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[952]) ).
thf(1237,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ SX2 )
| ( member_set_a @ SX0 @ ( domain_set_a_a_e @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[991]) ).
thf(1238,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ~ ( member_set_a @ SX2 @ SX0 )
| ~ ( member_set_a @ SX2 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[951]) ).
thf(1239,plain,
( ( ! [SX0: produc715398134_a_a_e > $o,SX1: set_a,SX2: a > e] :
( ~ ( produc952037978_a_e_o @ SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc1134456688_a_a_e @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[978]) ).
thf(1240,plain,
( ( ! [SX0: set_a > $o,SX1: set_a] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: set_a] :
( ~ ( SX0 @ SX2 )
| ( ord_less_eq_set_a @ SX2 @ SX1 ) )
| ( ( order_Greatest_set_a @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[925]) ).
thf(1241,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ ( converse_a_e_set_a @ SX2 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1006]) ).
thf(1242,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e,SX3: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX0 @ SX1 )
| ( SX2
!= ( SX3 @ SX0 ) )
| ( member1258382221_a_a_e @ SX2 @ ( image_625620211_a_a_e @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[890]) ).
thf(1243,plain,
( ( ! [SX0: set_a,SX1: set_set_a > a,SX2: set_set_set_a] :
( ( ord_less_eq_set_a @ SX0 @ ( image_set_set_a_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_set_set_a_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[788]) ).
thf(1244,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX1 @ SX0 )
| ~ ( ord_less_eq_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[805]) ).
thf(1245,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[935]) ).
thf(1246,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ! [SX2: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ~ ~ ( member1258382221_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[955]) ).
thf(1247,plain,
( ( ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[861]) ).
thf(1248,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[860]) ).
thf(1249,plain,
( ( ! [SX0: $o > set_a,SX1: ( $o > set_a ) > $o > set_a,SX2: $o > set_a,SX3: $o > set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_o_set_a @ SX2 @ SX3 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[879]) ).
thf(1250,plain,
( ( ! [SX0: set_a,SX1: produc715398134_a_a_e > set_a,SX2: set_Pr204296108_a_a_e] :
( ~ ( member_set_a @ SX0 @ ( image_64240033_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SX3 @ SX2 )
| ( SX0
!= ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[942]) ).
thf(1251,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SX0 @ SX1 )
| ( member_set_a @ ( SX2 @ SX0 ) @ ( image_64240033_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[897]) ).
thf(1252,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[905]) ).
thf(1253,plain,
( ( ! [SX0: a,SX1: a > a,SX2: a,SX3: set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_a @ SX2 @ SX3 )
| ( member_a @ SX0 @ ( image_a_a @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[737]) ).
thf(1254,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[865]) ).
thf(1255,plain,
( ( ! [SX0: produc715398134_a_a_e] :
~ ! [SX1: set_a] :
~ ~ ! [SX2: a > e] :
( SX0
!= ( produc1134456688_a_a_e @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[795]) ).
thf(1256,plain,
( ( ! [SX0: set_a_e,SX1: set_a_e] :
( ~ ! [SX2: a > e] :
( ~ ( member_a_e @ SX2 @ SX0 )
| ( member_a_e @ SX2 @ SX1 ) )
| ( ord_less_eq_set_a_e @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[723]) ).
thf(1257,plain,
( ( ( ^ [SX0: set_set_a,SX1: set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SX1 @ SX0 )
| ~ ( ord_le318720350_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[802]) ).
thf(1258,plain,
( ( ~ ! [SX0: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( member_set_a @ SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ SX0 ) )
| ~ ( ord_less_eq_set_a @ a3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[713]) ).
thf(1259,plain,
( ( ! [SX0: set_Pr305929312_set_a,SX1: set_Pr305929312_set_a] :
( ~ ! [SX2: produc1965228714_set_a] :
( ~ ( member360729153_set_a @ SX2 @ SX0 )
| ( member360729153_set_a @ SX2 @ SX1 ) )
| ( ord_le802356416_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[724]) ).
thf(1260,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_Pr204296108_a_a_e,SX2: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SX0 @ SX1 ) @ SX2 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SX0 ) @ ( finite33065488_a_a_e @ SX1 ) ) @ ( finite_Fpow_set_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[931]) ).
thf(1261,plain,
( ( ! [SX0: set_a,SX1: set_set_a,SX2: set_a,SX3: set_a > set_a] :
( ~ ( member_set_a @ SX0 @ SX1 )
| ( SX2
!= ( SX3 @ SX0 ) )
| ( member_set_a @ SX2 @ ( image_set_a_set_a @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[887]) ).
thf(1262,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a] :
( ~ ! [SX2: set_set_a] :
( ~ ( member_set_set_a @ SX2 @ SX0 )
| ( member_set_set_a @ SX2 @ SX1 ) )
| ( ord_le2103863998_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[725]) ).
thf(1263,plain,
( ( ! [SX0: a > e,SX1: set_a,SX2: set_Pr305929312_set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX0 @ SX1 ) @ SX2 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX1 @ SX0 ) @ ( converse_a_e_set_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1001]) ).
thf(1264,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_a,SX3: a > e] :
( ( ( produc1134456688_a_a_e @ SX0 @ SX1 )
= ( produc1134456688_a_a_e @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[917]) ).
thf(1265,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_less_eq_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[830]) ).
thf(1266,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a > set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SX2 @ SX0 ) @ ( image_a_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[750]) ).
thf(1267,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX0 @ SX1 )
| ( member1258382221_a_a_e @ ( SX2 @ SX0 ) @ ( image_625620211_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[898]) ).
thf(1268,plain,
( ( ! [SX0: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX0 @ c )
| ! [SX1: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX1 @ c )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SX0 ) @ ( produc1040928388_a_a_e @ SX1 ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SX1 ) @ ( produc1040928388_a_a_e @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[712]) ).
thf(1269,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a > set_a,SX3: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[866]) ).
thf(1270,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e] :
( ~ ( ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ( ord_le700723212_a_a_e @ SX1 @ SX0 ) )
| ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ~ ~ ( member1258382221_a_a_e @ SX2 @ SX1 )
| ( ord_le700723212_a_a_e @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[937]) ).
thf(1271,plain,
( ( ! [SX0: set_set_a,SX1: produc715398134_a_a_e > set_a,SX2: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ SX0 @ ( image_64240033_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SX3 @ SX2 )
| ( SX0
!= ( image_64240033_set_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[785]) ).
thf(1272,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a > set_a,SX3: set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[868]) ).
thf(1273,plain,
( ( ! [SX0: set_set_set_a,SX1: ( $o > set_a ) > set_set_set_a,SX2: $o > set_a,SX3: $o > set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_o_set_a @ SX2 @ SX3 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[878]) ).
thf(1274,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a] :
( ( SX0 != SX1 )
| ( ord_le2103863998_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[853]) ).
thf(1275,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ( ord_less_eq_set_a @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[845]) ).
thf(1276,plain,
( ( ! [SX0: set_Pr204296108_a_a_e] :
( ~ ! [SX1: produc715398134_a_a_e] : ( member1258382221_a_a_e @ SX1 @ SX0 )
| ( top_to1601855068_a_a_e = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1041]) ).
thf(1277,plain,
( ( ! [SX0: set_a > ( a > e ) > $o,SX1: set_a,SX2: a > e,SX3: produc715398134_a_a_e] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc1134456688_a_a_e @ SX1 @ SX2 ) )
| ( SX0 @ ( produc1040928388_a_a_e @ SX3 ) @ ( produc317566658_a_a_e @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1049]) ).
thf(1278,plain,
( ( ! [SX0: a > e,SX1: set_Pr204296108_a_a_e] :
( ( member_a_e @ SX0 @ ( range_set_a_a_e @ SX1 ) )
= ( ~ ! [SX2: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[982]) ).
thf(1279,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[730]) ).
thf(1280,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_a] :
( ( ( image_64240033_set_a @ SX0 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SX2: produc715398134_a_a_e] :
( SX1
!= ( SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1027]) ).
thf(1281,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e] :
( ~ ( ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ( ord_le700723212_a_a_e @ SX1 @ SX0 ) )
| ~ ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ~ ( member1258382221_a_a_e @ SX2 @ SX1 )
| ( ord_le700723212_a_a_e @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[962]) ).
thf(1282,plain,
( ( ! [SX0: set_a,SX1: set_set_a,SX2: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SX0 @ SX1 )
| ( member1258382221_a_a_e @ ( SX2 @ SX0 ) @ ( image_210900495_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[944]) ).
thf(1283,plain,
( ( ! [SX0: set_a,SX1: set_a > a,SX2: set_set_a] :
( ( ord_less_eq_set_a @ SX0 @ ( image_set_a_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_set_a_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[786]) ).
thf(1284,plain,
( ( ! [SX0: set_a,SX1: set_a > set_a,SX2: set_a,SX3: set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_a @ SX2 @ SX3 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[880]) ).
thf(1285,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ~ ( member_a @ SX2 @ SX0 )
| ~ ( member_a @ SX2 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[953]) ).
thf(1286,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ! [SX2: set_a] :
~ ~ ( ~ ( member_set_a @ SX2 @ SX0 )
| ~ ~ ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[954]) ).
thf(1287,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_a,SX3: a > e] :
( ( ( produc1134456688_a_a_e @ SX0 @ SX1 )
= ( produc1134456688_a_a_e @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[918]) ).
thf(1288,plain,
( ( ! [SX0: a > e,SX1: a > a > e,SX2: a,SX3: set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_a @ SX2 @ SX3 )
| ( member_a_e @ SX0 @ ( image_a_a_e @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[740]) ).
thf(1289,plain,
( ( ! [SX0: set_a,SX1: set_a > ( a > e ) > set_set_a,SX2: produc715398134_a_a_e] :
( ~ ( member_set_a @ SX0 @ ( produc1620938593_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_a,SX4: a > e] :
( ( SX2
!= ( produc1134456688_a_a_e @ SX3 @ SX4 ) )
| ~ ( member_set_a @ SX0 @ ( SX1 @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1057]) ).
thf(1290,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_a > set_set_a,SX2: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ ( image_1956910981_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_1956910981_set_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[777]) ).
thf(1291,plain,
( ( ! [SX0: set_a,SX1: set_a > set_a,SX2: set_a,SX3: a > e,SX4: set_a > a > e,SX5: set_set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ( SX3
!= ( SX4 @ SX2 ) )
| ~ ( member_set_a @ SX2 @ SX5 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX3 ) @ ( bNF_Gr1872575811_a_a_e @ SX5 @ SX1 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1062]) ).
thf(1292,plain,
( ( ! [SX0: ( a > e ) > set_a > $o,SX1: produc715398134_a_a_e] :
( ~ ( SX0 @ ( produc317566658_a_a_e @ SX1 ) @ ( produc1040928388_a_a_e @ SX1 ) )
| ~ ! [SX2: set_a,SX3: a > e] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1052]) ).
thf(1293,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a > ( a > e ) > set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX0 @ ( produc1096319049_a_a_e @ SX1 @ SX2 ) )
| ~ ! [SX3: set_a,SX4: a > e] :
( ( SX2
!= ( produc1134456688_a_a_e @ SX3 @ SX4 ) )
| ~ ( member1258382221_a_a_e @ SX0 @ ( SX1 @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1058]) ).
thf(1294,plain,
( ( ! [SX0: a > e,SX1: set_Pr204296108_a_a_e] :
( ~ ( member_a_e @ SX0 @ ( range_set_a_a_e @ SX1 ) )
| ~ ! [SX2: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[983]) ).
thf(1295,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a,SX2: ( $o > set_a ) > set_a,SX3: set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[873]) ).
thf(1296,plain,
( ( ! [SX0: set_a,SX1: set_a] :
( ~ ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ! [SX2: a] :
~ ~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ~ ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[934]) ).
thf(1297,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ( ord_less_eq_set_a @ SX0 @ SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) )
| ~ ( member_a @ SX2 @ SX0 )
| ~ ~ ( member_a @ SX2 @ SX1 )
| ( ord_less_eq_set_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[938]) ).
thf(1298,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ( SX0 != SX1 )
| ( ord_le318720350_set_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[852]) ).
thf(1299,plain,
( ( ! [SX0: set_a,SX1: set_set_a,SX2: produc715398134_a_a_e,SX3: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SX0 @ SX1 )
| ( SX2
!= ( SX3 @ SX0 ) )
| ( member1258382221_a_a_e @ SX2 @ ( image_210900495_a_a_e @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[888]) ).
thf(1300,plain,
( ( ! [SX0: produc1965228714_set_a] :
~ ! [SX1: a > e] :
~ ~ ! [SX2: set_a] :
( SX0
!= ( produc479206876_set_a @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[794]) ).
thf(1301,plain,
( ( ( ^ [SX0: $o > set_a,SX1: $o > set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[839]) ).
thf(1302,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ SX0 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= ( ! [SX1: set_a] :
~ ! [SX2: produc715398134_a_a_e] :
( SX1
!= ( SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1024]) ).
thf(1303,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > set_a,SX3: produc715398134_a_a_e > set_a,SX4: set_set_a > set_a] :
( ( SX0 != SX1 )
| ~ ! [SX5: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX5 @ SX1 )
| ( ( SX2 @ SX5 )
= ( SX3 @ SX5 ) ) )
| ( ( SX4 @ ( image_64240033_set_a @ SX2 @ SX0 ) )
= ( SX4 @ ( image_64240033_set_a @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[966]) ).
thf(1304,plain,
( ( ! [SX0: set_set_a,SX1: set_a > produc715398134_a_a_e,SX2: set_Pr204296108_a_a_e] :
( ~ ! [SX3: set_a] :
( ~ ( member_set_a @ SX3 @ SX0 )
| ( member1258382221_a_a_e @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[761]) ).
thf(1305,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[914]) ).
thf(1306,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SX0 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SX1 ) ) )
| ( SX1 @ ( produc1040928388_a_a_e @ SX0 ) @ ( produc317566658_a_a_e @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1055]) ).
thf(1307,plain,
( ( ord_le700723212_a_a_e
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
! [SX2: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ( member1258382221_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[908]) ).
thf(1308,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ ( converse_a_e_set_a @ SX2 ) )
= ( ~ ! [SX3: a > e] :
~ ~ ! [SX4: set_a] :
~ ~ ( ~ ~ ( ( SX0 != SX4 )
| ( SX1 != SX3 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX3 @ SX4 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1004]) ).
thf(1309,plain,
( ( ! [SX0: set_a,SX1: set_Pr204296108_a_a_e] :
( ~ ( member_set_a @ SX0 @ ( domain_set_a_a_e @ SX1 ) )
| ~ ! [SX2: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[989]) ).
thf(1310,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a] :
( ( SX0 != SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX2 )
| ( ord_le318720350_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[832]) ).
thf(1311,plain,
( ( ! [SX0: produc715398134_a_a_e > $o,SX1: set_a,SX2: a > e] :
( ~ ( SX0 @ ( produc1134456688_a_a_e @ SX1 @ SX2 ) )
| ( produc952037978_a_e_o @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[976]) ).
thf(1312,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_Pr204296108_a_a_e,SX2: set_set_a] :
( ( ( image_64240033_set_a @ SX0 @ SX1 )
!= SX2 )
| ( ( image_1441218763_set_a @ ( image_64240033_set_a @ SX0 ) @ ( pow_Pr328302361_a_a_e @ SX1 ) )
= ( pow_set_a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[974]) ).
thf(1313,plain,
( ( ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[838]) ).
thf(1314,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_a > set_set_a,SX2: set_set_set_a] :
( ( ord_le2103863998_set_a @ SX0 @ ( image_1956910981_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_1956910981_set_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[793]) ).
thf(1315,plain,
( ( ! [SX0: a > e,SX1: set_Pr204296108_a_a_e] :
( ~ ( member_a_e @ SX0 @ ( range_set_a_a_e @ SX1 ) )
| ~ ! [SX2: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[981]) ).
thf(1316,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a > set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SX2 @ SX0 ) @ ( image_set_a_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[753]) ).
thf(1317,plain,
( ( ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SX1 @ SX0 )
| ~ ( ord_le2103863998_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[803]) ).
thf(1318,plain,
( ( ! [SX0: set_a,SX1: set_a > set_a,SX2: set_a,SX3: set_set_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( member_set_a @ SX2 @ SX3 )
| ( member_set_a @ SX0 @ ( image_set_a_set_a @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[733]) ).
thf(1319,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[900]) ).
thf(1320,plain,
( ( ( ^ [SX0: set_set_a,SX1: set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[862]) ).
thf(1321,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: produc715398134_a_a_e > set_a] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SX2 @ SX0 ) @ ( image_64240033_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[749]) ).
thf(1322,plain,
( ( ! [SX0: set_set_set_a,SX1: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[823]) ).
thf(1323,plain,
( ( ! [SX0: set_a,SX1: a > a,SX2: set_a] :
( ( ord_less_eq_set_a @ SX0 @ ( image_a_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_a_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[784]) ).
thf(1324,plain,
( ( ! [SX0: produc715398134_a_a_e] :
~ ! [SX1: set_a,SX2: a > e] :
( SX0
!= ( produc1134456688_a_a_e @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[928]) ).
thf(1325,plain,
( ( ! [SX0: set_a,SX1: a > a > e,SX2: set_a_e] :
( ~ ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ( member_a_e @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_less_eq_set_a_e @ ( image_a_a_e @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[766]) ).
thf(1326,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a > set_set_set_a,SX3: set_set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[874]) ).
thf(1327,plain,
( ( ! [SX0: set_a > $o,SX1: set_a,SX2: ( a > e ) > $o,SX3: a > e] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1048]) ).
thf(1328,plain,
( ( ! [SX0: set_a,SX1: set_set_a,SX2: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SX0 @ SX1 )
| ( member1258382221_a_a_e @ ( SX2 @ SX0 ) @ ( image_210900495_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[896]) ).
thf(1329,plain,
( ( ! [SX0: set_a,SX1: a > set_a,SX2: set_set_a] :
( ~ ! [SX3: a] :
( ~ ( member_a @ SX3 @ SX0 )
| ( member_set_a @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[765]) ).
thf(1330,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[859]) ).
thf(1331,plain,
( ( ! [SX0: a > e,SX1: set_a,SX2: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX0 @ SX1 ) @ ( converse_set_a_a_e @ SX2 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1005]) ).
thf(1332,plain,
( ( ! [SX0: produc1965228714_set_a,SX1: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ SX0 @ ( converse_set_a_a_e @ SX1 ) )
| ~ ! [SX2: set_a,SX3: a > e] :
( ( SX0
!= ( produc479206876_set_a @ SX3 @ SX2 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX2 @ SX3 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1007]) ).
thf(1333,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[921]) ).
thf(1334,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: set_a] :
( ( SX0 != SX1 )
| ~ ( ord_less_eq_set_a @ SX0 @ SX2 )
| ( ord_less_eq_set_a @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[940]) ).
thf(1335,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[824]) ).
thf(1336,plain,
( ( ! [SX0: set_a,SX1: a > e,SX2: set_Pr204296108_a_a_e,SX3: set_a > set_a,SX4: ( a > e ) > a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX1 ) @ SX2 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SX3 @ SX0 ) @ ( SX4 @ SX1 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SX3 @ SX4 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1013]) ).
thf(1337,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[821]) ).
thf(1338,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[902]) ).
thf(1339,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_a,SX2: a > e] :
( ( SX0
!= ( produc1134456688_a_a_e @ SX1 @ SX2 ) )
| ( ( produc1040928388_a_a_e @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[922]) ).
thf(1340,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 )
| ~ ! [SX2: set_a] :
~ ~ ( ~ ( member_set_a @ SX2 @ SX0 )
| ~ ~ ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[958]) ).
thf(1341,plain,
( ( ! [SX0: produc715398134_a_a_e > set_a,SX1: set_Pr204296108_a_a_e,SX2: set_a > $o] :
( ~ ~ ! [SX3: set_a] :
~ ~ ( ~ ( member_set_a @ SX3 @ ( image_64240033_set_a @ SX0 @ SX1 ) )
| ~ ( SX2 @ SX3 ) )
| ~ ! [SX3: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SX3 @ SX1 )
| ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[893]) ).
thf(1342,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[729]) ).
thf(1343,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX2 @ SX0 )
| ( ord_le318720350_set_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[807]) ).
thf(1344,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: produc715398134_a_a_e > set_a,SX2: set_set_a,SX3: produc715398134_a_a_e] :
( ~ ! [SX4: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX4 @ SX0 )
| ( member_set_a @ ( SX1 @ SX4 ) @ SX2 ) )
| ~ ( member1258382221_a_a_e @ SX3 @ SX0 )
| ( member_set_a @ ( SX1 @ SX3 ) @ ( image_64240033_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[948]) ).
thf(1345,plain,
( ( ! [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
( ~ ! [SX2: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ( member1258382221_a_a_e @ SX2 @ SX1 ) )
| ( ord_le700723212_a_a_e @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[727]) ).
thf(1346,plain,
( ( ( ^ [SX0: $o > set_a,SX1: $o > set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 )
| ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[804]) ).
thf(1347,plain,
( ( ! [SX0: set_a,SX1: set_a,SX2: a] :
( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[916]) ).
thf(1348,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ SX0 )
!= ( produc1040928388_a_a_e @ SX1 ) )
| ( ( produc317566658_a_a_e @ SX0 )
!= ( produc317566658_a_a_e @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1039]) ).
thf(1349,plain,
( ( ! [SX0: set_set_set_a,SX1: a > set_set_a,SX2: set_a] :
( ( ord_le2103863998_set_a @ SX0 @ ( image_a_set_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_a_set_set_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[790]) ).
thf(1350,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a,SX2: set_a > set_set_a] :
( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ SX2 @ SX0 ) @ ( image_1930509541_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[755]) ).
thf(1351,plain,
( ( ! [SX0: set_a > $o,SX1: set_a,SX2: set_a > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: set_a] :
( ~ ( SX0 @ SX3 )
| ( ord_less_eq_set_a @ SX3 @ SX1 ) )
| ~ ! [SX3: set_a] :
( ~ ( SX0 @ SX3 )
| ~ ! [SX4: set_a] :
( ~ ( SX0 @ SX4 )
| ( ord_less_eq_set_a @ SX4 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( order_Greatest_set_a @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[926]) ).
thf(1352,plain,
( ( ! [SX0: produc715398134_a_a_e,SX1: set_Pr204296108_a_a_e,SX2: set_a,SX3: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SX0 @ SX1 )
| ( SX2
!= ( SX3 @ SX0 ) )
| ( member_set_a @ SX2 @ ( image_64240033_set_a @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[889]) ).
thf(1353,plain,
( ( ! [SX0: set_set_a,SX1: set_a > a,SX2: set_a] :
( ~ ! [SX3: set_a] :
( ~ ( member_set_a @ SX3 @ SX0 )
| ( member_a @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[758]) ).
thf(1354,plain,
( ( ! [SX0: set_set_set_a,SX1: set_a > set_set_a,SX2: set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX0 @ ( image_1930509541_set_a @ SX1 @ SX2 ) )
| ~ ! [SX3: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_1930509541_set_a @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[776]) ).
thf(1355,plain,
( ( ! [SX0: set_a_e,SX1: ( a > e ) > a,SX2: set_a] :
( ~ ! [SX3: a > e] :
( ~ ( member_a_e @ SX3 @ SX0 )
| ( member_a @ ( SX1 @ SX3 ) @ SX2 ) )
| ( ord_less_eq_set_a @ ( image_a_e_a @ SX1 @ SX0 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[767]) ).
thf(1356,plain,
( ( ! [SX0: set_a > set_a,SX1: set_set_a,SX2: set_set_a] :
( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SX0 @ SX1 ) @ SX2 )
= ( ! [SX3: set_a] :
( ~ ( member_set_a @ SX3 @ SX1 )
| ( member_set_a @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[781]) ).
thf(1357,plain,
( ( ! [SX0: set_set_a,SX1: set_set_a > set_a,SX2: set_set_set_a] :
( ( ord_le318720350_set_a @ SX0 @ ( image_402591269_set_a @ SX1 @ SX2 ) )
= ( ~ ! [SX3: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SX3 @ SX2 )
| ( SX0
!= ( image_402591269_set_a @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[791]) ).
thf(1358,plain,
( ( ! [SX0: set_a > produc715398134_a_a_e,SX1: set_set_a,SX2: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SX0 @ SX1 ) @ SX2 )
= ( ! [SX3: set_a] :
( ~ ( member_set_a @ SX3 @ SX1 )
| ( member1258382221_a_a_e @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[780]) ).
thf(1359,plain,
( ( ! [SX0: $o > set_a,SX1: $o > set_a,SX2: $o > set_a] :
( ( SX0 != SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX2 )
| ( ord_less_eq_o_set_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[834]) ).
thf(1360,plain,
( ( ! [SX0: set_a,SX1: set_Pr204296108_a_a_e] :
( ( member_set_a @ SX0 @ ( domain_set_a_a_e @ SX1 ) )
= ( ~ ! [SX2: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX0 @ SX2 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[988]) ).
thf(1361,plain,
( ( ( ord_less_eq_set_a @ a1 @ a2 )
= $true )
| ( ( ord_less_eq_set_a @ a2 @ a1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(1362,plain,
( ( ( ord_less_eq_set_a @ a1 @ a3 )
= $true )
| ( ( ord_less_eq_set_a @ a3 @ a1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(1363,plain,
( ( ( ord_less_eq_set_a @ a2 @ a3 )
= $true )
| ( ( ord_less_eq_set_a @ a3 @ a2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(1364,plain,
! [SV1: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(1365,plain,
! [SV2: set_set_a] :
( ( ord_le318720350_set_a @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(1366,plain,
! [SV3: set_set_set_a] :
( ( ord_le2103863998_set_a @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(1367,plain,
! [SV4: $o > set_a] :
( ( ord_less_eq_o_set_a @ SV4 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(1368,plain,
! [SV5: set_a] :
( ( ord_less_eq_set_a @ SV5 @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(1369,plain,
! [SV6: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ SV6 @ SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(1370,plain,
! [SV7: set_set_a] :
( ( ord_le318720350_set_a @ SV7 @ SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(1371,plain,
! [SV8: set_set_set_a] :
( ( ord_le2103863998_set_a @ SV8 @ SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(1372,plain,
! [SV9: $o > set_a] :
( ( ord_less_eq_o_set_a @ SV9 @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(1373,plain,
! [SV10: set_a] :
( ( ord_less_eq_set_a @ SV10 @ SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(1374,plain,
! [SV11: set_a] :
( ( ! [SY1103: set_a > $o] :
( ( member_set_a @ SV11 @ ( collect_set_a @ SY1103 ) )
= ( SY1103 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(1375,plain,
! [SV12: produc715398134_a_a_e] :
( ( ! [SY1104: produc715398134_a_a_e > $o] :
( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SY1104 ) )
= ( SY1104 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(1376,plain,
! [SV13: set_set_a] :
( ( ( collect_set_a
@ ^ [SY1105: set_a] : ( member_set_a @ SY1105 @ SV13 ) )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(1377,plain,
! [SV14: set_Pr204296108_a_a_e] :
( ( ( collec1369693387_a_a_e
@ ^ [SY1106: produc715398134_a_a_e] : ( member1258382221_a_a_e @ SY1106 @ SV14 ) )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1378,plain,
! [SV15: set_a] :
( ( ! [SY1107: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV15 @ SY1107 ) )
= SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1379,plain,
! [SV16: set_a] :
( ( ord_less_eq_set_a @ SV16 @ SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1380,plain,
! [SV17: set_a] :
( ( ! [SY1108: set_a] :
( ( member_set_a @ SV17 @ ( pow_a @ SY1108 ) )
= ( ord_less_eq_set_a @ SV17 @ SY1108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1381,plain,
! [SV18: set_a] :
( ( member_set_a @ SV18 @ ( pow_a @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1382,plain,
! [SV19: set_Pr204296108_a_a_e] :
( ( ( image_64240033_set_a @ produc1040928388_a_a_e @ SV19 )
= ( domain_set_a_a_e @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1383,plain,
( ( ! [SV20: set_Pr204296108_a_a_e] :
( ( domain_set_a_a_e @ SV20 )
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV20 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[980]) ).
thf(1384,plain,
( ( domain_set_a_a_e
= ( image_64240033_set_a @ produc1040928388_a_a_e ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[980]) ).
thf(1385,plain,
! [SV21: a > e] :
( ( ! [SY1109: set_a,SY1110: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SY1109 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SY1110 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1109 @ SV21 ) @ SY1110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1386,plain,
! [SV22: set_a] :
( ( ! [SY1111: a > e,SY1112: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SY1111 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SY1112 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SY1111 @ SV22 ) @ SY1112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1387,plain,
! [SV23: a > e] :
( ( ! [SY1113: set_a] :
( ( produc100464700_set_a @ ( produc479206876_set_a @ SV23 @ SY1113 ) )
= ( produc1134456688_a_a_e @ SY1113 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1388,plain,
! [SV24: set_a] :
( ( ! [SY1114: a > e] :
( ( produc755714512_a_a_e @ ( produc1134456688_a_a_e @ SV24 @ SY1114 ) )
= ( produc479206876_set_a @ SY1114 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1389,plain,
! [SV25: a > e] :
( ( ! [SY1115: set_a,SY1116: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SY1115 ) @ ( converse_set_a_a_e @ SY1116 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1115 @ SV25 ) @ SY1116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1390,plain,
! [SV26: set_a] :
( ( ! [SY1117: a > e,SY1118: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SY1117 ) @ ( converse_a_e_set_a @ SY1118 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SY1117 @ SV26 ) @ SY1118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1391,plain,
( ( ! [SV27: produc1965228714_set_a] :
( ( produc100464700_set_a @ SV27 )
= ( produc1134456688_a_a_e @ ( produc1809800494_set_a @ SV27 ) @ ( produc385678576_set_a @ SV27 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1011]) ).
thf(1392,plain,
( ( produc100464700_set_a
= ( ^ [P3: produc1965228714_set_a] : ( produc1134456688_a_a_e @ ( produc1809800494_set_a @ P3 ) @ ( produc385678576_set_a @ P3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1011]) ).
thf(1393,plain,
( ( ! [SV28: produc715398134_a_a_e] :
( ( produc755714512_a_a_e @ SV28 )
= ( produc479206876_set_a @ ( produc317566658_a_a_e @ SV28 ) @ ( produc1040928388_a_a_e @ SV28 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1012]) ).
thf(1394,plain,
( ( produc755714512_a_a_e
= ( ^ [P3: produc715398134_a_a_e] : ( produc479206876_set_a @ ( produc317566658_a_a_e @ P3 ) @ ( produc1040928388_a_a_e @ P3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1012]) ).
thf(1395,plain,
! [SV29: set_a] :
( ( member_set_a @ SV29 @ top_top_set_set_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1396,plain,
! [SV30: produc715398134_a_a_e] :
( ( member1258382221_a_a_e @ SV30 @ top_to1601855068_a_a_e )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1397,plain,
! [SV31: set_a > set_a] :
( ( ! [SY1119: ( a > e ) > a > e,SY1120: set_a,SY1121: a > e] :
( ( produc1443219402_e_a_e @ SV31 @ SY1119 @ ( produc1134456688_a_a_e @ SY1120 @ SY1121 ) )
= ( produc1134456688_a_a_e @ ( SV31 @ SY1120 ) @ ( SY1119 @ SY1121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1398,plain,
! [SV32: set_a > set_a] :
( ( ! [SY1122: ( a > e ) > a > e,SY1123: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ ( produc1443219402_e_a_e @ SV32 @ SY1122 @ SY1123 ) )
= ( SV32 @ ( produc1040928388_a_a_e @ SY1123 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1399,plain,
! [SV33: produc715398134_a_a_e] :
( ( ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SV33 ) @ ( produc317566658_a_a_e @ SV33 ) )
= SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1400,plain,
! [SV34: produc1965228714_set_a] :
( ( ( produc1040928388_a_a_e @ ( produc100464700_set_a @ SV34 ) )
= ( produc1809800494_set_a @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1401,plain,
! [SV35: produc715398134_a_a_e] :
( ( ( produc1809800494_set_a @ ( produc755714512_a_a_e @ SV35 ) )
= ( produc1040928388_a_a_e @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1402,plain,
! [SV36: produc715398134_a_a_e > set_a] :
( ( ! [SY1124: produc715398134_a_a_e] : ( member_set_a @ ( SV36 @ SY1124 ) @ ( image_64240033_set_a @ SV36 @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1403,plain,
! [SV37: set_a] :
( ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= ( SV37 = top_top_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1404,plain,
! [SV38: set_a] :
( ( ord_less_eq_set_a @ SV38 @ top_top_set_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1405,plain,
! [SV39: set_a] :
( ( ord_less_eq_set_a @ SV39 @ top_top_set_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1406,plain,
! [SV40: set_a] :
( ( ! [SY1125: a > e] :
( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV40 @ SY1125 ) )
= SY1125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1407,plain,
! [SV41: produc715398134_a_a_e] :
( ( SV41
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SV41 ) @ ( produc317566658_a_a_e @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1408,plain,
! [SV42: produc715398134_a_a_e] :
( ( SV42
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SV42 ) @ ( produc317566658_a_a_e @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1409,plain,
( ( ! [SV43: set_a] :
( ( top_top_set_a_o @ SV43 )
= ( member_set_a @ SV43 @ top_top_set_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1050]) ).
thf(1410,plain,
( ( top_top_set_a_o
= ( ^ [X4: set_a] : ( member_set_a @ X4 @ top_top_set_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1050]) ).
thf(1411,plain,
( ( ! [SV44: produc715398134_a_a_e] :
( ( top_to2000253225_a_e_o @ SV44 )
= ( member1258382221_a_a_e @ SV44 @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1051]) ).
thf(1412,plain,
( ( top_to2000253225_a_e_o
= ( ^ [X4: produc715398134_a_a_e] : ( member1258382221_a_a_e @ X4 @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1051]) ).
thf(1413,plain,
( ( ! [SV45: set_a > set_a > $o] :
( ( bNF_sn375433437_a_a_e @ SV45 )
= ( ^ [SY1126: set_a > ( a > e ) > $o,SY1127: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV45 @ SY1126 @ ( produc1040928388_a_a_e @ SY1127 ) @ ( produc317566658_a_a_e @ SY1127 ) ) @ ( produc317566658_a_a_e @ SY1127 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1054]) ).
thf(1414,plain,
( ( bNF_sn375433437_a_a_e
= ( ^ [P4: set_a > set_a > $o,Q3: set_a > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) @ ( produc317566658_a_a_e @ Ac ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1054]) ).
thf(1415,plain,
( ( ! [SV46: set_a > ( a > e ) > $o] :
( ( bNF_fs1024561536_e_a_e @ SV46 )
= ( ^ [SY1128: ( a > e ) > ( a > e ) > $o,SY1129: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SY1129 ) @ ( bNF_pi1175744974_e_a_e @ SV46 @ SY1128 @ ( produc1040928388_a_a_e @ SY1129 ) @ ( produc317566658_a_a_e @ SY1129 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1056]) ).
thf(1416,plain,
( ( bNF_fs1024561536_e_a_e
= ( ^ [P4: set_a > ( a > e ) > $o,Q3: ( a > e ) > ( a > e ) > $o,Ac: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ Ac ) @ ( bNF_pi1175744974_e_a_e @ P4 @ Q3 @ ( produc1040928388_a_a_e @ Ac ) @ ( produc317566658_a_a_e @ Ac ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1056]) ).
thf(1417,plain,
( ( ! [SV47: set_Pr204296108_a_a_e] :
( ( fun_in_rel_set_a_a_e @ SV47 )
= ( ^ [SY1130: set_a,SY1131: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1130 @ SY1131 ) @ SV47 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1059]) ).
thf(1418,plain,
( ( fun_in_rel_set_a_a_e
= ( ^ [R3: set_Pr204296108_a_a_e,X4: set_a,Y4: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ X4 @ Y4 ) @ R3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1059]) ).
thf(1419,plain,
thesis = $false,
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1420,plain,
! [SV48: set_set_a] :
( ( ! [SY1132: a > set_a,SY1133: set_a] :
( ~ ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SY1132 @ SY1133 ) )
| ~ ! [SY1134: set_a] :
( ~ ( ord_less_eq_set_a @ SY1134 @ SY1133 )
| ( SV48
!= ( image_a_set_a @ SY1132 @ SY1134 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1421,plain,
! [SV49: set_a] :
( ( ! [SY1135: set_set_a,SY1136: set_a > set_a] :
( ~ ( member_set_a @ SV49 @ SY1135 )
| ( member_set_a @ ( SY1136 @ SV49 ) @ ( image_set_a_set_a @ SY1136 @ SY1135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1422,plain,
! [SV50: set_set_a] :
( ( ! [SY1137: set_set_a,SY1138: set_a] :
( ~ ( ( ord_le318720350_set_a @ SV50 @ SY1137 )
| ( ord_le318720350_set_a @ SY1137 @ SV50 ) )
| ~ ~ ( member_set_a @ SY1138 @ SV50 )
| ~ ( member_set_a @ SY1138 @ SY1137 )
| ( ord_le318720350_set_a @ SV50 @ SY1137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1423,plain,
! [SV51: set_set_a] :
( ( ! [SY1139: set_set_a > set_a,SY1140: set_set_set_a] :
( ~ ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SY1139 @ SY1140 ) )
| ~ ! [SY1141: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY1141 @ SY1140 )
| ( SV51
!= ( image_402591269_set_a @ SY1139 @ SY1141 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1424,plain,
! [SV52: set_a] :
( ( ! [SY1142: a > e,SY1143: set_Pr305929312_set_a,SY1144: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SY1142 ) @ ( converse_a_e_set_a @ SY1143 ) )
| ~ ! [SX4: a > e,SX5: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX4 @ SX5 ) @ SY1143 )
| ( SY1144 @ SX5 @ SX4 ) )
| ( SY1144 @ SV52 @ SY1142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1425,plain,
! [SV53: set_a] :
( ( ! [SY1147: set_Pr204296108_a_a_e,SY1148: set_a > $o] :
( ~ ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SY1147 ) )
| ~ ! [SX3: set_a,SX4: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX3 @ SX4 ) @ SY1147 )
| ( SY1148 @ SX3 ) )
| ( SY1148 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1426,plain,
! [SV54: produc715398134_a_a_e] :
( ( ! [SY1151: set_a > produc715398134_a_a_e,SY1152: set_a,SY1153: set_set_a] :
( ( SV54
!= ( SY1151 @ SY1152 ) )
| ~ ( member_set_a @ SY1152 @ SY1153 )
| ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SY1151 @ SY1153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1427,plain,
! [SV55: set_set_a] :
( ( ! [SY1154: produc715398134_a_a_e > set_a,SY1155: set_Pr204296108_a_a_e] :
( ~ ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SY1154 @ SY1155 ) )
| ~ ! [SY1156: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY1156 @ SY1155 )
| ( SV55
!= ( image_64240033_set_a @ SY1154 @ SY1156 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1428,plain,
! [SV56: set_a] :
( ( ~ ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ SV56 )
| ~ ( ord_less_eq_set_a @ a2 @ SV56 )
| ~ ( ord_less_eq_set_a @ a3 @ SV56 )
| thesis )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1429,plain,
! [SV57: set_set_a] :
( ( ~ ! [SY1157: set_a] : ( member_set_a @ SY1157 @ SV57 )
| ( top_top_set_set_a = SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1430,plain,
! [SV58: set_set_a] :
( ( ! [SY1158: set_set_a,SY1159: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV58 @ SY1158 )
| ~ ( ord_le318720350_set_a @ SY1158 @ SY1159 )
| ( ord_le318720350_set_a @ SV58 @ SY1159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1431,plain,
! [SV59: produc715398134_a_a_e] :
( ( ! [SY1160: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SY1160 ) )
| ~ ! [SY1161: a > e,SY1162: set_a] :
( ( SV59
!= ( produc1134456688_a_a_e @ SY1162 @ SY1161 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY1161 @ SY1162 ) @ SY1160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1432,plain,
! [SV60: set_set_set_a] :
( ( ! [SY1163: set_set_set_a,SY1164: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV60 @ SY1163 )
| ~ ( ord_le2103863998_set_a @ SY1163 @ SY1164 )
| ( ord_le2103863998_set_a @ SV60 @ SY1164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1433,plain,
! [SV61: set_a] :
( ( ! [SY1165: set_a,SY1166: set_a > $o > set_a,SY1167: $o > set_a] :
( ~ ( ord_less_eq_set_a @ SV61 @ SY1165 )
| ( ( SY1166 @ SY1165 )
!= SY1167 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SY1166 @ SX4 ) @ ( SY1166 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ ( SY1166 @ SV61 ) @ SY1167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1434,plain,
! [SV62: set_Pr204296108_a_a_e] :
( ( ! [SY1170: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV62 @ SY1170 )
| ~ ( ord_le700723212_a_a_e @ SY1170 @ SV62 )
| ( SY1170 = SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1435,plain,
! [SV63: set_a] :
( ( ! [SY1171: set_a] :
( ~ ( ord_less_eq_set_a @ SV63 @ SY1171 )
| ~ ( ord_less_eq_set_a @ SY1171 @ SV63 )
| ( SV63 = SY1171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1436,plain,
( ( ! [SV64: $o > set_a] :
( ( ^ [SY1172: $o > set_a] : ( SV64 = SY1172 ) )
= ( ^ [SY1173: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SV64 @ SY1173 )
| ~ ( ord_less_eq_o_set_a @ SY1173 @ SV64 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1081]) ).
thf(1437,plain,
( ( ( ^ [SX0: $o > set_a,SX1: $o > set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1081]) ).
thf(1438,plain,
! [SV65: set_Pr204296108_a_a_e] :
( ( ! [SY1174: produc715398134_a_a_e > a,SY1175: set_a] :
( ~ ! [SY1176: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1176 @ SV65 )
| ( member_a @ ( SY1174 @ SY1176 ) @ SY1175 ) )
| ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SY1174 @ SV65 ) @ SY1175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1439,plain,
! [SV66: set_a] :
( ( ! [SY1177: set_a,SY1178: set_a > set_set_set_a,SY1179: set_set_set_a] :
( ~ ( ord_less_eq_set_a @ SV66 @ SY1177 )
| ( ( SY1178 @ SY1177 )
!= SY1179 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SY1178 @ SX4 ) @ ( SY1178 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ ( SY1178 @ SV66 ) @ SY1179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1440,plain,
! [SV67: set_a] :
( ( ! [SY1182: set_a] :
( ( SV67 != SY1182 )
| ~ ( ~ ( ord_less_eq_set_a @ SV67 @ SY1182 )
| ~ ( ord_less_eq_set_a @ SY1182 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1441,plain,
! [SV68: $o > set_a] :
( ( ! [SY1183: $o > set_a,SY1184: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV68 @ SY1183 )
| ~ ( ord_less_eq_o_set_a @ SY1183 @ SY1184 )
| ( ord_less_eq_o_set_a @ SV68 @ SY1184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1442,plain,
! [SV69: set_Pr204296108_a_a_e] :
( ( ! [SY1185: produc715398134_a_a_e > produc715398134_a_a_e,SY1186: set_Pr204296108_a_a_e] :
( ~ ! [SY1187: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1187 @ SV69 )
| ( member1258382221_a_a_e @ ( SY1185 @ SY1187 ) @ SY1186 ) )
| ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SY1185 @ SV69 ) @ SY1186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1443,plain,
! [SV70: a > a] :
( ( ! [SY1188: set_a,SY1189: set_a > $o] :
( ( ! [SY1190: set_a] :
( ~ ( ord_less_eq_set_a @ SY1190 @ ( image_a_a @ SV70 @ SY1188 ) )
| ( SY1189 @ SY1190 ) ) )
= ( ! [SY1191: set_a] :
( ~ ( ord_less_eq_set_a @ SY1191 @ SY1188 )
| ( SY1189 @ ( image_a_a @ SV70 @ SY1191 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1444,plain,
! [SV71: set_set_a] :
( ( ! [SY1192: set_set_a,SY1193: set_a > a] :
( ~ ( ord_le318720350_set_a @ SV71 @ SY1192 )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SY1193 @ SV71 ) @ ( image_set_a_a @ SY1193 @ SY1192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1445,plain,
! [SV72: set_Pr204296108_a_a_e] :
( ( ! [SY1194: set_Pr204296108_a_a_e,SY1195: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV72 @ SY1194 )
| ~ ( member1258382221_a_a_e @ SY1195 @ SV72 )
| ( member1258382221_a_a_e @ SY1195 @ SY1194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1446,plain,
( ( ! [SX0: set_a] :
~ ( member_set_a @ SX0 @ top_top_set_set_a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1447,plain,
! [SV73: set_a] :
( ( ! [SY1196: set_a] :
( ~ ( ord_less_eq_set_a @ SV73 @ SY1196 )
| ( ord_le318720350_set_a @ ( pow_a @ SV73 ) @ ( pow_a @ SY1196 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1448,plain,
! [SV74: set_a] :
( ( ! [SY1197: set_a,SY1198: set_a > set_a,SY1199: set_a] :
( ~ ( ord_less_eq_set_a @ SV74 @ SY1197 )
| ~ ( ord_less_eq_set_a @ ( SY1198 @ SY1197 ) @ SY1199 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1198 @ SX4 ) @ ( SY1198 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY1198 @ SV74 ) @ SY1199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1449,plain,
! [SV75: set_a] :
( ( ! [SY1202: set_a,SY1203: set_a] :
( ~ ( ord_less_eq_set_a @ SV75 @ SY1202 )
| ~ ( ord_less_eq_set_a @ SY1202 @ SY1203 )
| ( ord_less_eq_set_a @ SV75 @ SY1203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1450,plain,
! [SV76: set_set_a] :
( ( ! [SY1204: set_set_a,SY1205: set_set_a > $o > set_a,SY1206: $o > set_a] :
( ~ ( ord_le318720350_set_a @ SV76 @ SY1204 )
| ( ( SY1205 @ SY1204 )
!= SY1206 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SY1205 @ SX4 ) @ ( SY1205 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ ( SY1205 @ SV76 ) @ SY1206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1451,plain,
! [SV77: produc715398134_a_a_e] :
( ( ! [SY1209: set_a,SY1210: a > e] :
( ( SV77
!= ( produc1134456688_a_a_e @ SY1209 @ SY1210 ) )
| ( ( produc317566658_a_a_e @ SV77 )
= SY1210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1452,plain,
! [SV78: set_a] :
( ( ! [SY1211: a > e,SY1212: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV78 @ SY1211 ) @ SY1212 )
| ( member360729153_set_a @ ( produc479206876_set_a @ SY1211 @ SV78 ) @ ( converse_set_a_a_e @ SY1212 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1453,plain,
! [SV79: set_Pr204296108_a_a_e] :
( ( ! [SY1213: ( $o > set_a ) > set_Pr204296108_a_a_e,SY1214: $o > set_a,SY1215: $o > set_a] :
( ( SV79
!= ( SY1213 @ SY1214 ) )
| ~ ( ord_less_eq_o_set_a @ SY1214 @ SY1215 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_le700723212_a_a_e @ ( SY1213 @ SX4 ) @ ( SY1213 @ SX5 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SY1213 @ SY1215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1454,plain,
! [SV80: set_set_a] :
( ( ! [SY1218: set_a > set_a,SY1219: set_set_a,SY1220: set_a] :
( ~ ! [SY1221: set_a] :
( ~ ( member_set_a @ SY1221 @ SV80 )
| ( member_set_a @ ( SY1218 @ SY1221 ) @ SY1219 ) )
| ~ ( member_set_a @ SY1220 @ SV80 )
| ( member_set_a @ ( SY1218 @ SY1220 ) @ ( image_set_a_set_a @ SY1218 @ SV80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1455,plain,
! [SV81: set_a] :
( ( ! [SY1222: set_a > set_a,SY1223: set_a,SY1224: set_a] :
( ~ ( ord_less_eq_set_a @ SV81 @ ( SY1222 @ SY1223 ) )
| ~ ( ord_less_eq_set_a @ SY1223 @ SY1224 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1222 @ SX4 ) @ ( SY1222 @ SX5 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SY1222 @ SY1224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1456,plain,
! [SV82: set_set_set_a] :
( ( ! [SY1227: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV82 @ SY1227 )
| ~ ( ord_le2103863998_set_a @ SY1227 @ SV82 )
| ( SV82 = SY1227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1457,plain,
! [SV83: set_Pr204296108_a_a_e] :
( ( ! [SY1228: set_Pr204296108_a_a_e,SY1229: set_Pr204296108_a_a_e] :
( ( SV83 != SY1228 )
| ~ ( ord_le700723212_a_a_e @ SY1228 @ SY1229 )
| ( ord_le700723212_a_a_e @ SV83 @ SY1229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1458,plain,
! [SV84: set_a] :
( ( ! [SY1230: produc715398134_a_a_e > set_a,SY1231: produc715398134_a_a_e] :
( ( SV84
!= ( SY1230 @ SY1231 ) )
| ( member_set_a @ SV84 @ ( image_64240033_set_a @ SY1230 @ top_to1601855068_a_a_e ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1459,plain,
! [SV85: set_set_set_a] :
( ( ! [SY1232: set_set_set_a,SY1233: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV85 @ SY1232 )
| ~ ( ord_le2103863998_set_a @ SY1232 @ SY1233 )
| ( ord_le2103863998_set_a @ SV85 @ SY1233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1460,plain,
! [SV86: set_a] :
( ( ! [SY1234: a > a,SY1235: set_a] :
( ~ ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SY1234 @ SY1235 ) )
| ~ ! [SY1236: set_a] :
( ~ ( ord_less_eq_set_a @ SY1236 @ SY1235 )
| ( SV86
!= ( image_a_a @ SY1234 @ SY1236 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1461,plain,
! [SV87: set_a] :
( ( ! [SY1237: a > e,SY1238: set_a,SY1239: a > e] :
( ( ( produc1134456688_a_a_e @ SV87 @ SY1237 )
!= ( produc1134456688_a_a_e @ SY1238 @ SY1239 ) )
| ~ ( ( SV87 != SY1238 )
| ( SY1237 != SY1239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1462,plain,
! [SV88: set_set_a] :
( ( ! [SY1240: set_set_a] :
( ~ ! [SY1241: set_a] :
( ~ ( member_set_a @ SY1241 @ SV88 )
| ( member_set_a @ SY1241 @ SY1240 ) )
| ( ord_le318720350_set_a @ SV88 @ SY1240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1463,plain,
! [SV89: set_set_a] :
( ( ! [SY1242: set_a > produc715398134_a_a_e,SY1243: set_Pr204296108_a_a_e,SY1244: set_a] :
( ~ ! [SY1245: set_a] :
( ~ ( member_set_a @ SY1245 @ SV89 )
| ( member1258382221_a_a_e @ ( SY1242 @ SY1245 ) @ SY1243 ) )
| ~ ( member_set_a @ SY1244 @ SV89 )
| ( member1258382221_a_a_e @ ( SY1242 @ SY1244 ) @ ( image_210900495_a_a_e @ SY1242 @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1464,plain,
! [SV90: produc715398134_a_a_e] :
( ( ! [SY1246: produc715398134_a_a_e > produc715398134_a_a_e,SY1247: produc715398134_a_a_e,SY1248: set_Pr204296108_a_a_e] :
( ( SV90
!= ( SY1246 @ SY1247 ) )
| ~ ( member1258382221_a_a_e @ SY1247 @ SY1248 )
| ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SY1246 @ SY1248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1465,plain,
! [SV91: produc715398134_a_a_e] :
( ( ! [SY1249: set_a > ( a > e ) > $o,SY1250: ( a > e ) > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SV91 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ SY1249 @ SY1250 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ SY1249 @ SY1250 @ SV91 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY1249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1466,plain,
! [SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ! [SY1251: set_se821189730_a_a_e,SY1252: set_set_set_a] :
( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SY1251 ) @ SY1252 )
= ( ! [SY1253: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY1253 @ SY1251 )
| ( member_set_set_a @ ( SV92 @ SY1253 ) @ SY1252 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1467,plain,
( ( ! [SV93: set_Pr204296108_a_a_e] :
( ( ^ [SY1254: set_Pr204296108_a_a_e] : ( SV93 = SY1254 ) )
= ( ^ [SY1255: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SY1255 @ SV93 )
| ~ ( ord_le700723212_a_a_e @ SV93 @ SY1255 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1468,plain,
( ( ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 )
| ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1469,plain,
! [SV94: a > a] :
( ( ! [SY1256: set_a,SY1257: set_a] :
( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SY1256 ) @ SY1257 )
= ( ! [SY1258: a] :
( ~ ( member_a @ SY1258 @ SY1256 )
| ( member_a @ ( SV94 @ SY1258 ) @ SY1257 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1470,plain,
! [SV95: set_Pr204296108_a_a_e] :
( ( ! [SY1259: set_Pr204296108_a_a_e,SY1260: produc715398134_a_a_e > set_a,SY1261: produc715398134_a_a_e > set_a,SY1262: set_set_a > set_a] :
( ( SV95 != SY1259 )
| ~ ! [SX5: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX5 @ SY1259 )
| ( ( SY1260 @ SX5 )
= ( SY1261 @ SX5 ) ) )
| ( ( SY1262 @ ( image_64240033_set_a @ SY1260 @ SV95 ) )
= ( SY1262 @ ( image_64240033_set_a @ SY1261 @ SY1259 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1471,plain,
! [SV96: set_a] :
( ( ! [SY1264: set_a,SY1265: set_a] :
( ( SV96 != SY1264 )
| ~ ( ord_less_eq_set_a @ SY1265 @ SV96 )
| ( ord_less_eq_set_a @ SY1265 @ SY1264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1472,plain,
( ( ! [SV97: $o > set_a] :
( ( ord_less_eq_o_set_a @ SV97 )
= ( ^ [SY1266: $o > set_a] :
~ ( ~ ( ord_less_eq_set_a @ ( SV97 @ $false ) @ ( SY1266 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV97 @ $true ) @ ( SY1266 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1115]) ).
thf(1473,plain,
( ( ord_less_eq_o_set_a
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_set_a @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1115]) ).
thf(1474,plain,
! [SV98: set_set_set_a] :
( ( ! [SY1267: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV98 @ SY1267 )
| ~ ( ord_le2103863998_set_a @ SY1267 @ SV98 )
| ( SY1267 = SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1116]) ).
thf(1475,plain,
! [SV99: set_a] :
( ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV99 )
| ( SV99 = top_top_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1117]) ).
thf(1476,plain,
! [SV100: set_set_set_a] :
( ( ! [SY1268: set_set_set_a,SY1269: set_set_set_a] :
( ( SV100 != SY1268 )
| ~ ( ord_le2103863998_set_a @ SY1268 @ SY1269 )
| ( ord_le2103863998_set_a @ SV100 @ SY1269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1477,plain,
! [SV101: produc715398134_a_a_e] :
( ( ! [SY1270: set_a > set_a > $o,SY1271: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SV101 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ SY1270 @ SY1271 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ SY1270 @ SY1271 @ SV101 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY1271 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1478,plain,
! [SV102: produc715398134_a_a_e > set_a] :
( ( ! [SY1272: set_Pr204296108_a_a_e,SY1273: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SY1272 ) @ SY1273 )
= ( ! [SY1274: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1274 @ SY1272 )
| ( member_set_a @ ( SV102 @ SY1274 ) @ SY1273 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1479,plain,
! [SV103: set_a] :
( ( ! [SY1275: set_a] :
( ~ ( ord_less_eq_set_a @ SV103 @ SY1275 )
| ( ord_le318720350_set_a @ ( finite_Fpow_a @ SV103 ) @ ( finite_Fpow_a @ SY1275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1480,plain,
! [SV104: produc715398134_a_a_e] :
( ( ! [SY1276: produc715398134_a_a_e] :
( ~ ~ ( ( ( produc1040928388_a_a_e @ SV104 )
!= ( produc1040928388_a_a_e @ SY1276 ) )
| ( ( produc317566658_a_a_e @ SV104 )
!= ( produc317566658_a_a_e @ SY1276 ) ) )
| ( SV104 = SY1276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1481,plain,
! [SV105: set_Pr204296108_a_a_e] :
( ( ! [SY1277: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV105 @ SY1277 )
| ( ( ord_le700723212_a_a_e @ SY1277 @ SV105 )
= ( SY1277 = SV105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1482,plain,
! [SV106: a > e] :
( ( ! [SY1278: set_Pr204296108_a_a_e,SY1279: ( a > e ) > $o] :
( ~ ( member_a_e @ SV106 @ ( range_set_a_a_e @ SY1278 ) )
| ~ ! [SX3: set_a,SX4: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX3 @ SX4 ) @ SY1278 )
| ( SY1279 @ SX4 ) )
| ( SY1279 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1483,plain,
! [SV107: set_a] :
( ( ! [SY1282: set_a] :
( ( SV107 != SY1282 )
| ( ord_less_eq_set_a @ SY1282 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1484,plain,
! [SV108: set_Pr204296108_a_a_e] :
( ( ! [SY1283: set_Pr204296108_a_a_e,SY1284: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV108 @ SY1283 )
| ~ ( ord_le700723212_a_a_e @ SY1283 @ SY1284 )
| ( ord_le700723212_a_a_e @ SV108 @ SY1284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1485,plain,
( ( ! [SV109: set_set_a] :
( ( ^ [SY1285: set_set_a] : ( SV109 = SY1285 ) )
= ( ^ [SY1286: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SV109 @ SY1286 )
| ~ ( ord_le318720350_set_a @ SY1286 @ SV109 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1127]) ).
thf(1486,plain,
( ( ( ^ [SX0: set_set_a,SX1: set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1127]) ).
thf(1487,plain,
! [SV110: a > e] :
( ( ! [SY1287: set_a,SY1288: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SY1287 ) @ ( converse_set_a_a_e @ SY1288 ) )
= ( ~ ! [SY1289: set_a] :
~ ~ ! [SY1290: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY1290 )
| ( SY1287 != SY1289 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1289 @ SY1290 ) @ SY1288 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1488,plain,
! [SV111: set_set_set_a] :
( ( ! [SY1291: set_set_set_a,SY1292: set_set_a > a] :
( ~ ( ord_le2103863998_set_a @ SV111 @ SY1291 )
| ( ord_less_eq_set_a @ ( image_set_set_a_a @ SY1292 @ SV111 ) @ ( image_set_set_a_a @ SY1292 @ SY1291 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1489,plain,
! [SV112: set_a] :
( ( ! [SY1293: produc715398134_a_a_e > set_a,SY1294: produc715398134_a_a_e,SY1295: a > e,SY1296: produc715398134_a_a_e > a > e,SY1297: set_Pr204296108_a_a_e] :
( ( SV112
!= ( SY1293 @ SY1294 ) )
| ( SY1295
!= ( SY1296 @ SY1294 ) )
| ~ ( member1258382221_a_a_e @ SY1294 @ SY1297 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SY1295 ) @ ( bNF_Gr2072183031_a_a_e @ SY1297 @ SY1293 @ SY1296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1130]) ).
thf(1490,plain,
! [SV113: set_set_set_a] :
( ( ! [SY1298: set_a > set_set_a,SY1299: set_set_a] :
( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SY1298 @ SY1299 ) )
= ( ~ ! [SY1300: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY1300 @ SY1299 )
| ( SV113
!= ( image_1930509541_set_a @ SY1298 @ SY1300 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1491,plain,
! [SV114: a > e] :
( ( ! [SY1301: set_a,SY1302: set_Pr204296108_a_a_e,SY1303: ( a > e ) > set_a > $o] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SY1301 ) @ ( converse_set_a_a_e @ SY1302 ) )
| ~ ! [SX4: set_a,SX5: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX4 @ SX5 ) @ SY1302 )
| ( SY1303 @ SX5 @ SX4 ) )
| ( SY1303 @ SV114 @ SY1301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1492,plain,
! [SV115: set_a] :
( ( ! [SY1306: a > a,SY1307: set_a] :
( ~ ! [SY1308: a] :
( ~ ( member_a @ SY1308 @ SV115 )
| ( member_a @ ( SY1306 @ SY1308 ) @ SY1307 ) )
| ( ord_less_eq_set_a @ ( image_a_a @ SY1306 @ SV115 ) @ SY1307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1493,plain,
! [SV116: produc715398134_a_a_e > set_a] :
( ( ! [SY1309: set_a > produc715398134_a_a_e] :
( ~ ! [SY1310: set_a] :
( ( SV116 @ ( SY1309 @ SY1310 ) )
= SY1310 )
| ( ( image_64240033_set_a @ SV116 @ top_to1601855068_a_a_e )
= top_top_set_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1494,plain,
! [SV117: set_set_a] :
( ( ! [SY1311: set_set_a,SY1312: set_set_a > set_set_a,SY1313: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV117 @ SY1311 )
| ( ( SY1312 @ SY1311 )
!= SY1313 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SY1312 @ SX4 ) @ ( SY1312 @ SX5 ) ) )
| ( ord_le318720350_set_a @ ( SY1312 @ SV117 ) @ SY1313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1495,plain,
! [SV118: set_set_set_a] :
( ( ! [SY1316: set_set_set_a,SY1317: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV118 @ SY1316 )
| ~ ( ord_le2103863998_set_a @ SY1317 @ SV118 )
| ( ord_le2103863998_set_a @ SY1317 @ SY1316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1496,plain,
! [SV119: produc715398134_a_a_e > set_a] :
( ( ! [SY1318: produc715398134_a_a_e > set_a] :
( ( ( image_64240033_set_a @ SV119 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_64240033_set_a @ SY1318 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_2101504031_set_a @ ( produc387505142_set_a @ SV119 @ SY1318 ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1497,plain,
( ( ! [SV120: produc715398134_a_a_e] :
( ( ^ [SY1319: produc715398134_a_a_e] : ( SV120 = SY1319 ) )
= ( ^ [SY1320: produc715398134_a_a_e] :
~ ( ( ( produc1040928388_a_a_e @ SV120 )
!= ( produc1040928388_a_a_e @ SY1320 ) )
| ( ( produc317566658_a_a_e @ SV120 )
!= ( produc317566658_a_a_e @ SY1320 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1138]) ).
thf(1498,plain,
( ( ( ^ [SX0: produc715398134_a_a_e,SX1: produc715398134_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc715398134_a_a_e,SX1: produc715398134_a_a_e] :
~ ( ( ( produc1040928388_a_a_e @ SX0 )
!= ( produc1040928388_a_a_e @ SX1 ) )
| ( ( produc317566658_a_a_e @ SX0 )
!= ( produc317566658_a_a_e @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1138]) ).
thf(1499,plain,
! [SV121: set_set_a] :
( ( ! [SY1321: set_a > set_a,SY1322: set_set_a] :
( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SY1321 @ SY1322 ) )
= ( ~ ! [SY1323: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY1323 @ SY1322 )
| ( SV121
!= ( image_set_a_set_a @ SY1321 @ SY1323 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1500,plain,
! [SV122: $o > set_a] :
( ( ! [SY1324: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV122 @ SY1324 )
| ~ ( ord_less_eq_o_set_a @ SY1324 @ SV122 )
| ( SY1324 = SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1501,plain,
! [SV123: set_a > a] :
( ( ! [SY1325: set_set_a,SY1326: set_a] :
( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SY1325 ) @ SY1326 )
= ( ! [SY1327: set_a] :
( ~ ( member_set_a @ SY1327 @ SY1325 )
| ( member_a @ ( SV123 @ SY1327 ) @ SY1326 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1502,plain,
! [SV124: produc715398134_a_a_e > set_a] :
( ( ! [SY1328: set_Pr204296108_a_a_e,SY1329: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV124 @ SY1328 ) @ SY1329 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV124 ) @ ( pow_Pr328302361_a_a_e @ SY1328 ) ) @ ( pow_set_a @ SY1329 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1503,plain,
( ( ! [SV125: set_a] :
( ( ord_less_eq_set_a @ SV125 )
= ( ^ [SY1330: set_a] :
! [SY1331: a] :
( ~ ( member_a @ SY1331 @ SV125 )
| ( member_a @ SY1331 @ SY1330 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1143]) ).
thf(1504,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1143]) ).
thf(1505,plain,
! [SV126: a > e] :
( ( ! [SY1332: set_a > a > e,SY1333: set_a,SY1334: set_set_a] :
( ( SV126
!= ( SY1332 @ SY1333 ) )
| ~ ( member_set_a @ SY1333 @ SY1334 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SY1332 @ SY1334 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1506,plain,
! [SV127: $o > set_a] :
( ( ! [SY1335: $o > set_a] :
( ( SV127 != SY1335 )
| ( ord_less_eq_o_set_a @ SV127 @ SY1335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1507,plain,
! [SV128: set_a] :
( ( ! [SY1336: set_a] :
( ~ ( ord_less_eq_set_a @ SV128 @ SY1336 )
| ( member_set_a @ SV128 @ ( pow_a @ SY1336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1508,plain,
! [SV129: set_a] :
( ( ! [SY1337: set_a,SY1338: set_a] :
( ~ ( ord_less_eq_set_a @ SV129 @ SY1337 )
| ~ ( ord_less_eq_set_a @ SY1337 @ SY1338 )
| ( ord_less_eq_set_a @ SV129 @ SY1338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1509,plain,
! [SV130: set_a] :
( ( ! [SY1339: set_a,SY1340: a] :
( ~ ( ( ord_less_eq_set_a @ SV130 @ SY1339 )
| ( ord_less_eq_set_a @ SY1339 @ SV130 ) )
| ~ ~ ( member_a @ SY1340 @ SV130 )
| ~ ( member_a @ SY1340 @ SY1339 )
| ( ord_less_eq_set_a @ SV130 @ SY1339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1510,plain,
! [SV131: $o > set_a] :
( ( ! [SY1341: $o > set_a,SY1342: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV131 @ SY1341 )
| ~ ( ord_less_eq_o_set_a @ SY1342 @ SV131 )
| ( ord_less_eq_o_set_a @ SY1342 @ SY1341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1511,plain,
! [SV132: set_a] :
( ( ! [SY1343: set_Pr204296108_a_a_e] :
( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SY1343 ) )
= ( ~ ! [SY1344: set_a] :
~ ~ ! [SY1345: a > e] :
~ ~ ( ( SV132 != SY1344 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1344 @ SY1345 ) @ SY1343 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1512,plain,
! [SV133: set_set_a] :
( ( ! [SY1346: set_a > set_a,SY1347: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SY1346 @ SY1347 ) )
| ~ ! [SY1348: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY1348 @ SY1347 )
| ( SV133
!= ( image_set_a_set_a @ SY1346 @ SY1348 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1513,plain,
! [SV134: set_Pr204296108_a_a_e] :
( ( ! [SY1349: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV134 @ SY1349 )
| ~ ( ord_le700723212_a_a_e @ SY1349 @ SV134 )
| ( SV134 = SY1349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1514,plain,
! [SV135: set_a] :
( ( ! [SY1350: a > e,SY1351: a > e] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SY1350 ) )
!= SY1351 )
| ( SY1350 = SY1351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1515,plain,
! [SV136: set_a] :
( ( ! [SY1352: produc715398134_a_a_e > set_a,SY1353: produc715398134_a_a_e,SY1354: set_Pr204296108_a_a_e] :
( ( SV136
!= ( SY1352 @ SY1353 ) )
| ~ ( member1258382221_a_a_e @ SY1353 @ SY1354 )
| ( member_set_a @ SV136 @ ( image_64240033_set_a @ SY1352 @ SY1354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1516,plain,
! [SV137: set_a] :
( ( ! [SY1355: set_a] :
( ~ ~ ( ord_less_eq_set_a @ SV137 @ SY1355 )
| ~ ! [SY1356: a] :
~ ~ ( ~ ( member_a @ SY1356 @ SV137 )
| ~ ~ ( member_a @ SY1356 @ SY1355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1517,plain,
! [SV138: $o > set_a] :
( ( ! [SY1357: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV138 @ SY1357 )
| ( ( ord_less_eq_o_set_a @ SY1357 @ SV138 )
= ( SY1357 = SV138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1518,plain,
! [SV139: set_set_set_a] :
( ( ! [SY1358: set_set_set_a,SY1359: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV139 @ SY1358 )
| ( SY1358 != SY1359 )
| ( ord_le2103863998_set_a @ SV139 @ SY1359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1519,plain,
! [SV140: $o > set_a] :
( ( ! [SY1360: $o > set_a,SY1361: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV140 @ SY1360 )
| ~ ( ord_less_eq_o_set_a @ SY1360 @ SY1361 )
| ( ord_less_eq_o_set_a @ SV140 @ SY1361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1520,plain,
( ( ! [SV141: set_a] :
( ( ^ [SY1362: set_a] : ( SV141 = SY1362 ) )
= ( ^ [SY1363: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV141 @ SY1363 )
| ~ ( ord_less_eq_set_a @ SY1363 @ SV141 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1159]) ).
thf(1521,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1159]) ).
thf(1522,plain,
! [SV142: set_a] :
( ( ! [SY1364: produc715398134_a_a_e] :
( ( SV142
= ( produc1040928388_a_a_e @ SY1364 ) )
= ( ~ ! [SY1365: a > e] :
( SY1364
!= ( produc1134456688_a_a_e @ SV142 @ SY1365 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1523,plain,
! [SV143: set_a] :
( ( ! [SY1366: set_set_a > a,SY1367: set_set_set_a] :
( ~ ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SY1366 @ SY1367 ) )
| ~ ! [SY1368: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY1368 @ SY1367 )
| ( SV143
!= ( image_set_set_a_a @ SY1366 @ SY1368 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1524,plain,
! [SV144: set_Pr204296108_a_a_e] :
( ( ! [SY1369: set_Pr204296108_a_a_e] :
( ~ ! [SY1370: set_a,SY1371: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1370 @ SY1371 ) @ SV144 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1370 @ SY1371 ) @ SY1369 ) )
| ( ord_le700723212_a_a_e @ SV144 @ SY1369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1525,plain,
! [SV145: set_a] :
( ( ! [SY1372: set_a] :
( ~ ( ord_less_eq_set_a @ SV145 @ SY1372 )
| ~ ( ord_less_eq_set_a @ SY1372 @ SV145 )
| ( SV145 = SY1372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1526,plain,
! [SV146: set_a] :
( ( ! [SY1373: a > e,SY1374: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV146 @ SY1373 ) @ ( converse_a_e_set_a @ SY1374 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SY1373 @ SV146 ) @ SY1374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1527,plain,
! [SV147: a > e] :
( ( ! [SY1375: set_a,SY1376: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV147 @ SY1375 ) @ ( converse_set_a_a_e @ SY1376 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1375 @ SV147 ) @ SY1376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1528,plain,
! [SV148: ( a > e ) > set_a > $o] :
( ( ! [SY1377: a > e,SY1378: set_a] :
( ~ ( SV148 @ SY1377 @ SY1378 )
| ( SV148 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SY1378 @ SY1377 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SY1378 @ SY1377 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1529,plain,
! [SV149: set_set_a] :
( ( ! [SY1379: set_set_a,SY1380: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV149 @ SY1379 )
| ~ ( ord_le318720350_set_a @ SY1379 @ SY1380 )
| ( ord_le318720350_set_a @ SV149 @ SY1380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1530,plain,
( ( ! [SV150: set_set_a] :
( ( ord_le318720350_set_a @ SV150 )
= ( ^ [SY1381: set_set_a] :
! [SY1382: set_a] :
( ~ ( member_set_a @ SY1382 @ SV150 )
| ( member_set_a @ SY1382 @ SY1381 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1168]) ).
thf(1531,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1168]) ).
thf(1532,plain,
! [SV151: set_a] :
( ( ! [SY1383: set_a] :
( ( SV151 != SY1383 )
| ( ord_less_eq_set_a @ SV151 @ SY1383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1533,plain,
! [SV152: set_a] :
( ( ! [SY1384: set_a,SY1385: a > a] :
( ~ ( ord_less_eq_set_a @ SV152 @ SY1384 )
| ( ord_less_eq_set_a @ ( image_a_a @ SY1385 @ SV152 ) @ ( image_a_a @ SY1385 @ SY1384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1534,plain,
! [SV153: a] :
( ( ! [SY1386: ( a > e ) > a,SY1387: a > e,SY1388: set_a_e] :
( ( SV153
!= ( SY1386 @ SY1387 ) )
| ~ ( member_a_e @ SY1387 @ SY1388 )
| ( member_a @ SV153 @ ( image_a_e_a @ SY1386 @ SY1388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1535,plain,
( ( ! [SX0: produc715398134_a_a_e] :
~ ( member1258382221_a_a_e @ SX0 @ top_to1601855068_a_a_e ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1536,plain,
! [SV154: set_set_a] :
( ( ! [SY1389: set_a > set_a,SY1390: set_set_a] :
( ~ ! [SY1391: set_a] :
( ~ ( member_set_a @ SY1391 @ SV154 )
| ( member_set_a @ ( SY1389 @ SY1391 ) @ SY1390 ) )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SY1389 @ SV154 ) @ SY1390 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1537,plain,
! [SV155: produc715398134_a_a_e] :
( ( ! [SY1392: set_a > set_a,SY1393: ( a > e ) > a > e,SY1394: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SY1392 @ SY1393 ) @ SY1394 ) )
| ~ ! [SY1395: set_a,SY1396: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SY1392 @ SY1395 ) @ ( SY1393 @ SY1396 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1395 @ SY1396 ) @ SY1394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1538,plain,
! [SV156: set_set_set_a] :
( ( ! [SY1397: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV156 @ SY1397 )
| ( ( ord_le2103863998_set_a @ SY1397 @ SV156 )
= ( SY1397 = SV156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1539,plain,
! [SV157: set_set_set_a] :
( ( ! [SY1398: set_set_set_a,SY1399: set_set_a > set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV157 @ SY1398 )
| ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ SY1399 @ SV157 ) @ ( image_1956910981_set_a @ SY1399 @ SY1398 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1540,plain,
! [SV158: set_a] :
( ( ! [SY1400: a > e,SY1401: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV158 @ SY1400 ) @ SY1401 )
| ( member_a_e @ SY1400 @ ( range_set_a_a_e @ SY1401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1541,plain,
! [SV159: set_Pr204296108_a_a_e] :
( ( ! [SY1402: set_Pr204296108_a_a_e] :
( ~ ( ( SV159 != SY1402 ) )
| ~ ( ord_le700723212_a_a_e @ SY1402 @ SV159 )
| ~ ! [SY1403: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY1403 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY1403 @ SY1402 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1542,plain,
! [SV160: set_set_set_a] :
( ( ! [SY1404: a > set_set_a,SY1405: set_a] :
( ~ ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SY1404 @ SY1405 ) )
| ~ ! [SY1406: set_a] :
( ~ ( ord_less_eq_set_a @ SY1406 @ SY1405 )
| ( SV160
!= ( image_a_set_set_a @ SY1404 @ SY1406 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1543,plain,
! [SV161: a > e] :
( ( ! [SY1407: set_Pr204296108_a_a_e] :
( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SY1407 ) )
= ( ~ ! [SY1408: set_a] :
~ ~ ! [SY1409: a > e] :
~ ~ ( ( SV161 != SY1409 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1408 @ SY1409 ) @ SY1407 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1544,plain,
( ( ! [SV162: set_set_set_a] :
( ( ^ [SY1410: set_set_set_a] : ( SV162 = SY1410 ) )
= ( ^ [SY1411: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SV162 @ SY1411 )
| ~ ( ord_le2103863998_set_a @ SY1411 @ SV162 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1181]) ).
thf(1545,plain,
( ( ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1181]) ).
thf(1546,plain,
! [SV163: set_set_a] :
( ( ! [SY1412: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV163 @ SY1412 )
| ~ ( ord_le318720350_set_a @ SY1412 @ SV163 )
| ( SY1412 = SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1547,plain,
! [SV164: set_Pr204296108_a_a_e] :
( ( ! [SY1413: set_Pr204296108_a_a_e,SY1414: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV164 @ SY1413 )
| ~ ( ord_le700723212_a_a_e @ SY1414 @ SV164 )
| ( ord_le700723212_a_a_e @ SY1414 @ SY1413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1183]) ).
thf(1548,plain,
! [SV165: set_set_a] :
( ( ! [SY1415: set_Pr204296108_a_a_e,SY1416: set_a_e,SY1417: set_a > ( a > e ) > $o,SY1418: set_a > ( a > e ) > $o] :
( ( SV165
!= ( image_64240033_set_a @ produc1040928388_a_a_e @ SY1415 ) )
| ( SY1416
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SY1415 ) )
| ~ ! [SY1419: set_a] :
( ~ ( member_set_a @ SY1419 @ SV165 )
| ! [SX6: a > e] :
( ~ ( member_a_e @ SX6 @ SY1416 )
| ~ ( SY1417 @ SY1419 @ SX6 )
| ( SY1418 @ SY1419 @ SX6 ) ) )
| ~ ( ord_le700723212_a_a_e @ SY1415 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY1417 ) ) )
| ( ord_le700723212_a_a_e @ SY1415 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY1418 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1549,plain,
! [SV166: set_set_a] :
( ( ! [SY1421: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV166 @ SY1421 )
| ( ( ord_le318720350_set_a @ SY1421 @ SV166 )
= ( SY1421 = SV166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1550,plain,
! [SV167: set_Pr204296108_a_a_e] :
( ( ! [SY1422: set_Pr204296108_a_a_e] :
( ( SV167 != SY1422 )
| ( ord_le700723212_a_a_e @ SV167 @ SY1422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1551,plain,
! [SV168: set_a] :
( ( ! [SY1423: set_a,SY1424: a > set_set_a] :
( ~ ( ord_less_eq_set_a @ SV168 @ SY1423 )
| ( ord_le2103863998_set_a @ ( image_a_set_set_a @ SY1424 @ SV168 ) @ ( image_a_set_set_a @ SY1424 @ SY1423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1552,plain,
! [SV169: set_a] :
( ( ! [SY1425: set_a,SY1426: set_a > set_set_a,SY1427: set_set_a] :
( ~ ( ord_less_eq_set_a @ SV169 @ SY1425 )
| ( ( SY1426 @ SY1425 )
!= SY1427 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SY1426 @ SX4 ) @ ( SY1426 @ SX5 ) ) )
| ( ord_le318720350_set_a @ ( SY1426 @ SV169 ) @ SY1427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1553,plain,
! [SV170: set_a] :
( ( ! [SY1430: set_a] :
( ~ ( ord_less_eq_set_a @ SV170 @ SY1430 )
| ~ ( ord_less_eq_set_a @ SY1430 @ SV170 )
| ( SY1430 = SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1554,plain,
( ( ! [SV171: set_set_a] :
( ( ord_le318720350_set_a @ SV171 )
= ( ^ [SY1431: set_set_a] :
! [SY1432: set_a] :
( ~ ( member_set_a @ SY1432 @ SV171 )
| ( member_set_a @ SY1432 @ SY1431 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1190]) ).
thf(1555,plain,
( ( ord_le318720350_set_a
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
! [SX2: set_a] :
( ~ ( member_set_a @ SX2 @ SX0 )
| ( member_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1190]) ).
thf(1556,plain,
! [SV172: produc715398134_a_a_e] :
( ( ! [SY1433: set_Pr204296108_a_a_e,SY1434: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SV172 @ SY1433 )
| ( member_set_a @ ( SY1434 @ SV172 ) @ ( image_64240033_set_a @ SY1434 @ SY1433 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1557,plain,
! [SV173: set_Pr204296108_a_a_e] :
( ( ! [SY1435: produc715398134_a_a_e > set_a,SY1436: set_set_a] :
( ~ ! [SY1437: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1437 @ SV173 )
| ( member_set_a @ ( SY1435 @ SY1437 ) @ SY1436 ) )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SY1435 @ SV173 ) @ SY1436 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1558,plain,
! [SV174: set_set_a] :
( ( ! [SY1438: set_set_a,SY1439: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV174 @ SY1438 )
| ( SY1438 != SY1439 )
| ( ord_le318720350_set_a @ SV174 @ SY1439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1559,plain,
! [SV175: a] :
( ( ! [SY1440: set_a > a,SY1441: set_a,SY1442: set_set_a] :
( ( SV175
!= ( SY1440 @ SY1441 ) )
| ~ ( member_set_a @ SY1441 @ SY1442 )
| ( member_a @ SV175 @ ( image_set_a_a @ SY1440 @ SY1442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1560,plain,
! [SV176: set_set_a] :
( ( ! [SY1443: set_set_a] :
( ~ ~ ( ord_le318720350_set_a @ SV176 @ SY1443 )
| ~ ! [SY1444: set_a] :
~ ~ ( ~ ( member_set_a @ SY1444 @ SV176 )
| ~ ~ ( member_set_a @ SY1444 @ SY1443 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1561,plain,
! [SV177: a > $o] :
( ( ! [SY1445: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SY1445 ) )
= ( ! [SY1446: a] :
( ~ ( SV177 @ SY1446 )
| ( SY1445 @ SY1446 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1562,plain,
! [SV178: produc715398134_a_a_e > set_a] :
( ( ! [SY1447: set_a] :
( ( ( image_64240033_set_a @ SV178 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1448: produc715398134_a_a_e] :
( SY1447
!= ( SV178 @ SY1448 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1197]) ).
thf(1563,plain,
! [SV179: set_a] :
( ( ! [SY1449: set_a,SY1450: set_a] :
( ( SV179 != SY1449 )
| ~ ( ord_less_eq_set_a @ SY1449 @ SY1450 )
| ( ord_less_eq_set_a @ SV179 @ SY1450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1198]) ).
thf(1564,plain,
! [SV180: set_a] :
( ( ! [SY1451: set_a,SY1452: set_a] :
( ~ ( ord_less_eq_set_a @ SV180 @ SY1451 )
| ~ ( ord_less_eq_set_a @ SY1452 @ SV180 )
| ( ord_less_eq_set_a @ SY1452 @ SY1451 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1565,plain,
! [SV181: set_set_a] :
( ( ! [SY1453: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV181 @ SY1453 )
| ~ ( ord_le318720350_set_a @ SY1453 @ SV181 )
| ( SV181 = SY1453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1566,plain,
! [SV182: produc715398134_a_a_e > $o] :
( ( ! [SY1454: set_a,SY1455: a > e] :
( ~ ( produc952037978_a_e_o @ SV182 @ SY1454 @ SY1455 )
| ( SV182 @ ( produc1134456688_a_a_e @ SY1454 @ SY1455 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1567,plain,
! [SV183: set_a] :
( ( ! [SY1456: set_a] :
( ~ ! [SY1457: a] :
( ~ ( member_a @ SY1457 @ SV183 )
| ( member_a @ SY1457 @ SY1456 ) )
| ( ord_less_eq_set_a @ SV183 @ SY1456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1568,plain,
! [SV184: set_Pr204296108_a_a_e] :
( ( ! [SY1458: produc715398134_a_a_e > produc715398134_a_a_e,SY1459: set_Pr204296108_a_a_e,SY1460: produc715398134_a_a_e] :
( ~ ! [SY1461: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1461 @ SV184 )
| ( member1258382221_a_a_e @ ( SY1458 @ SY1461 ) @ SY1459 ) )
| ~ ( member1258382221_a_a_e @ SY1460 @ SV184 )
| ( member1258382221_a_a_e @ ( SY1458 @ SY1460 ) @ ( image_625620211_a_a_e @ SY1458 @ SV184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1569,plain,
! [SV185: set_a] :
( ( ! [SY1462: produc715398134_a_a_e > set_a,SY1463: set_Pr204296108_a_a_e] :
( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SY1462 @ SY1463 ) )
= ( ~ ! [SY1464: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY1464 @ SY1463 )
| ( SV185
!= ( SY1462 @ SY1464 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1570,plain,
! [SV186: set_set_a] :
( ( ! [SY1465: ( $o > set_a ) > set_set_a,SY1466: $o > set_a,SY1467: $o > set_a] :
( ( SV186
!= ( SY1465 @ SY1466 ) )
| ~ ( ord_less_eq_o_set_a @ SY1466 @ SY1467 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SY1465 @ SX4 ) @ ( SY1465 @ SX5 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SY1465 @ SY1467 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1571,plain,
! [SV187: set_Pr204296108_a_a_e] :
( ( ! [SY1470: set_Pr204296108_a_a_e,SY1471: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV187 @ SY1470 )
| ( SY1470 != SY1471 )
| ( ord_le700723212_a_a_e @ SV187 @ SY1471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1572,plain,
! [SV188: set_a] :
( ( ! [SY1472: a > e,SY1473: set_Pr204296108_a_a_e,SY1474: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SY1472 ) @ SY1473 )
| ( SY1474 != SY1472 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SY1474 ) @ SY1473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1573,plain,
! [SV189: set_Pr204296108_a_a_e] :
( ( ! [SY1475: set_Pr204296108_a_a_e,SY1476: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV189 @ SY1475 )
| ~ ( ord_le700723212_a_a_e @ SY1475 @ SY1476 )
| ( ord_le700723212_a_a_e @ SV189 @ SY1476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1208]) ).
thf(1574,plain,
! [SV190: set_Pr204296108_a_a_e] :
( ( ! [SY1477: set_Pr204296108_a_a_e] :
( ~ ~ ( ord_le700723212_a_a_e @ SV190 @ SY1477 )
| ~ ! [SY1478: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY1478 @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ SY1478 @ SY1477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1575,plain,
! [SV191: set_a] :
( ( ! [SY1479: set_set_a,SY1480: set_a > set_a] :
( ~ ( member_set_a @ SV191 @ SY1479 )
| ( member_set_a @ ( SY1480 @ SV191 ) @ ( image_set_a_set_a @ SY1480 @ SY1479 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1210]) ).
thf(1576,plain,
! [SV192: set_Pr204296108_a_a_e] :
( ( ! [SY1481: set_Pr204296108_a_a_e,SY1482: produc715398134_a_a_e > set_a,SY1483: produc715398134_a_a_e > set_a] :
( ( SV192 != SY1481 )
| ~ ! [SX4: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX4 @ SY1481 )
| ( ( SY1482 @ SX4 )
= ( SY1483 @ SX4 ) ) )
| ( ( image_64240033_set_a @ SY1482 @ SV192 )
= ( image_64240033_set_a @ SY1483 @ SY1481 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1577,plain,
! [SV193: $o > set_a] :
( ( ! [SY1485: $o > set_a,SY1486: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV193 @ SY1485 )
| ( SY1485 != SY1486 )
| ( ord_less_eq_o_set_a @ SV193 @ SY1486 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1578,plain,
! [SV194: set_a] :
( ( ! [SY1487: set_Pr204296108_a_a_e] :
( ~ ( member_set_a @ SV194 @ ( domain_set_a_a_e @ SY1487 ) )
| ~ ! [SY1488: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV194 @ SY1488 ) @ SY1487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1579,plain,
! [SV195: produc715398134_a_a_e] :
( ( ! [SY1489: set_Pr204296108_a_a_e,SY1490: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV195 @ SY1489 )
| ( member1258382221_a_a_e @ ( SY1490 @ SV195 ) @ ( image_625620211_a_a_e @ SY1490 @ SY1489 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1580,plain,
! [SV196: set_set_a] :
( ( ! [SY1491: set_set_a,SY1492: set_a] :
( ~ ( ord_le318720350_set_a @ SV196 @ SY1491 )
| ~ ( member_set_a @ SY1492 @ SV196 )
| ( member_set_a @ SY1492 @ SY1491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1581,plain,
! [SV197: set_set_a] :
( ( ! [SY1493: a > set_a,SY1494: set_a] :
( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SY1493 @ SY1494 ) )
= ( ~ ! [SY1495: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY1495 @ SY1494 )
| ( SV197
!= ( image_a_set_a @ SY1493 @ SY1495 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1582,plain,
! [SV198: produc715398134_a_a_e > $o] :
( ( ! [SY1496: produc715398134_a_a_e] :
( ~ ! [SY1497: set_a,SY1498: a > e] : ( SV198 @ ( produc1134456688_a_a_e @ SY1497 @ SY1498 ) )
| ( SV198 @ SY1496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1583,plain,
! [SV199: produc715398134_a_a_e > set_a] :
( ( ! [SY1499: set_Pr204296108_a_a_e,SY1500: set_set_a > $o] :
( ( ! [SY1501: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY1501 @ ( image_64240033_set_a @ SV199 @ SY1499 ) )
| ( SY1500 @ SY1501 ) ) )
= ( ! [SY1502: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY1502 @ SY1499 )
| ( SY1500 @ ( image_64240033_set_a @ SV199 @ SY1502 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1584,plain,
! [SV200: set_set_set_a] :
( ( ! [SY1503: set_set_set_a,SY1504: set_set_a > set_a] :
( ~ ( ord_le2103863998_set_a @ SV200 @ SY1503 )
| ( ord_le318720350_set_a @ ( image_402591269_set_a @ SY1504 @ SV200 ) @ ( image_402591269_set_a @ SY1504 @ SY1503 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1585,plain,
! [SV201: set_a] :
( ( ! [SY1505: set_a,SY1506: set_a] :
( ~ ( ord_less_eq_set_a @ SV201 @ SY1505 )
| ~ ( ord_less_eq_set_a @ SY1505 @ SY1506 )
| ( ord_less_eq_set_a @ SV201 @ SY1506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1586,plain,
! [SV202: set_a] :
( ( ! [SY1507: set_a,SY1508: a] :
( ~ ( ord_less_eq_set_a @ SV202 @ SY1507 )
| ~ ( member_a @ SY1508 @ SV202 )
| ( member_a @ SY1508 @ SY1507 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1587,plain,
! [SV203: produc715398134_a_a_e > set_a] :
( ( ! [SY1509: set_Pr204296108_a_a_e,SY1510: set_a > $o] :
( ~ ! [SY1511: set_a] :
( ~ ( member_set_a @ SY1511 @ ( image_64240033_set_a @ SV203 @ SY1509 ) )
| ( SY1510 @ SY1511 ) )
| ! [SY1512: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1512 @ SY1509 )
| ( SY1510 @ ( SV203 @ SY1512 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1588,plain,
! [SV204: set_set_a] :
( ( ! [SY1513: set_set_a,SY1514: set_a] :
( ~ ( ( ord_le318720350_set_a @ SV204 @ SY1513 )
| ( ord_le318720350_set_a @ SY1513 @ SV204 ) )
| ~ ( member_set_a @ SY1514 @ SV204 )
| ~ ~ ( member_set_a @ SY1514 @ SY1513 )
| ( ord_le318720350_set_a @ SY1513 @ SV204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1589,plain,
! [SV205: produc715398134_a_a_e > $o] :
( ( ! [SY1515: produc715398134_a_a_e] :
( ~ ! [SY1516: set_a,SY1517: a > e] : ( SV205 @ ( produc1134456688_a_a_e @ SY1516 @ SY1517 ) )
| ( SV205 @ SY1515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1590,plain,
! [SV206: set_set_set_a] :
( ( ! [SY1518: set_set_set_a,SY1519: set_set_set_a > set_a,SY1520: set_a] :
( ~ ( ord_le2103863998_set_a @ SV206 @ SY1518 )
| ( ( SY1519 @ SY1518 )
!= SY1520 )
| ~ ! [SX4: set_set_set_a,SX5: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1519 @ SX4 ) @ ( SY1519 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY1519 @ SV206 ) @ SY1520 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1591,plain,
! [SV207: set_a] :
( ( ! [SY1523: a > set_a,SY1524: a,SY1525: set_a] :
( ( SV207
!= ( SY1523 @ SY1524 ) )
| ~ ( member_a @ SY1524 @ SY1525 )
| ( member_set_a @ SV207 @ ( image_a_set_a @ SY1523 @ SY1525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1592,plain,
! [SV208: set_a] :
( ( ! [SY1526: set_a] :
( ~ ( member_set_a @ SV208 @ ( pow_a @ SY1526 ) )
| ( ord_less_eq_set_a @ SV208 @ SY1526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1593,plain,
! [SV209: set_a] :
( ( ! [SY1527: set_a > a,SY1528: set_set_a] :
( ~ ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SY1527 @ SY1528 ) )
| ~ ! [SY1529: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY1529 @ SY1528 )
| ( SV209
!= ( image_set_a_a @ SY1527 @ SY1529 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1594,plain,
! [SV210: set_Pr204296108_a_a_e] :
( ( ! [SY1530: set_Pr204296108_a_a_e,SY1531: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV210 @ SY1530 )
| ~ ( member1258382221_a_a_e @ SY1531 @ SV210 )
| ( member1258382221_a_a_e @ SY1531 @ SY1530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1595,plain,
! [SV211: set_a] :
( ( ! [SY1532: set_a] :
( ~ ( ( SV211 != SY1532 ) )
| ~ ( ord_less_eq_set_a @ SY1532 @ SV211 )
| ~ ! [SY1533: a] :
~ ~ ( ~ ( member_a @ SY1533 @ SV211 )
| ~ ~ ( member_a @ SY1533 @ SY1532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1230]) ).
thf(1596,plain,
! [SV212: set_set_a] :
( ( ! [SY1534: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV212 @ SY1534 )
| ~ ( ord_le318720350_set_a @ SY1534 @ SV212 )
| ( SV212 = SY1534 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1231]) ).
thf(1597,plain,
( ( ! [SV213: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ SV213 )
= ( ^ [SY1535: set_Pr204296108_a_a_e] :
! [SY1536: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1536 @ SV213 )
| ( member1258382221_a_a_e @ SY1536 @ SY1535 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1232]) ).
thf(1598,plain,
( ( ord_le700723212_a_a_e
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
! [SX2: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ( member1258382221_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1232]) ).
thf(1599,plain,
( ( ! [SV214: set_Pr204296108_a_a_e] :
( ( ^ [SY1537: set_Pr204296108_a_a_e] : ( SV214 = SY1537 ) )
= ( ^ [SY1538: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SV214 @ SY1538 )
| ~ ( ord_le700723212_a_a_e @ SY1538 @ SV214 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1233]) ).
thf(1600,plain,
( ( ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1233]) ).
thf(1601,plain,
! [SV215: set_set_set_a] :
( ( ! [SY1539: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV215 @ SY1539 )
| ~ ( ord_le2103863998_set_a @ SY1539 @ SV215 )
| ( SV215 = SY1539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1602,plain,
! [SV216: a > e] :
( ( ! [SY1540: produc715398134_a_a_e] :
( ( SV216
= ( produc317566658_a_a_e @ SY1540 ) )
= ( ~ ! [SY1541: set_a] :
( SY1540
!= ( produc1134456688_a_a_e @ SY1541 @ SV216 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1603,plain,
! [SV217: set_Pr204296108_a_a_e] :
( ( ! [SY1542: set_Pr204296108_a_a_e,SY1543: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV217 @ SY1542 )
| ~ ~ ( member1258382221_a_a_e @ SY1543 @ SV217 )
| ~ ( member1258382221_a_a_e @ SY1543 @ SY1542 )
| ( SV217 != SY1542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1604,plain,
! [SV218: set_a] :
( ( ! [SY1544: a > e,SY1545: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV218 @ SY1544 ) @ SY1545 )
| ( member_set_a @ SV218 @ ( domain_set_a_a_e @ SY1545 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1605,plain,
! [SV219: set_set_a] :
( ( ! [SY1546: set_set_a,SY1547: set_a] :
( ~ ( ord_le318720350_set_a @ SV219 @ SY1546 )
| ~ ~ ( member_set_a @ SY1547 @ SV219 )
| ~ ( member_set_a @ SY1547 @ SY1546 )
| ( SV219 != SY1546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1606,plain,
! [SV220: produc715398134_a_a_e > $o] :
( ( ! [SY1548: set_a,SY1549: a > e] :
( ~ ( produc952037978_a_e_o @ SV220 @ SY1548 @ SY1549 )
| ( SV220 @ ( produc1134456688_a_a_e @ SY1548 @ SY1549 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1607,plain,
! [SV221: set_a > $o] :
( ( ! [SY1550: set_a] :
( ~ ( SV221 @ SY1550 )
| ~ ! [SY1551: set_a] :
( ~ ( SV221 @ SY1551 )
| ( ord_less_eq_set_a @ SY1551 @ SY1550 ) )
| ( ( order_Greatest_set_a @ SV221 )
= SY1550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1608,plain,
! [SV222: set_a] :
( ( ! [SY1552: a > e,SY1553: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV222 @ SY1552 ) @ ( converse_a_e_set_a @ SY1553 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SY1552 @ SV222 ) @ SY1553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1609,plain,
! [SV223: produc715398134_a_a_e] :
( ( ! [SY1554: set_Pr204296108_a_a_e,SY1555: produc715398134_a_a_e,SY1556: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV223 @ SY1554 )
| ( SY1555
!= ( SY1556 @ SV223 ) )
| ( member1258382221_a_a_e @ SY1555 @ ( image_625620211_a_a_e @ SY1556 @ SY1554 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1610,plain,
! [SV224: set_a] :
( ( ! [SY1557: set_set_a > a,SY1558: set_set_set_a] :
( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SY1557 @ SY1558 ) )
= ( ~ ! [SY1559: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY1559 @ SY1558 )
| ( SV224
!= ( image_set_set_a_a @ SY1557 @ SY1559 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1611,plain,
( ( ! [SV225: set_a] :
( ( ^ [SY1560: set_a] : ( SV225 = SY1560 ) )
= ( ^ [SY1561: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SY1561 @ SV225 )
| ~ ( ord_less_eq_set_a @ SV225 @ SY1561 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1244]) ).
thf(1612,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX1 @ SX0 )
| ~ ( ord_less_eq_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1244]) ).
thf(1613,plain,
! [SV226: set_a] :
( ( ! [SY1562: set_a] :
( ( SV226 != SY1562 )
| ( ord_less_eq_set_a @ SV226 @ SY1562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1614,plain,
! [SV227: set_Pr204296108_a_a_e] :
( ( ! [SY1563: set_Pr204296108_a_a_e] :
( ~ ~ ( ord_le700723212_a_a_e @ SV227 @ SY1563 )
| ~ ! [SY1564: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY1564 @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ SY1564 @ SY1563 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1615,plain,
( ( ! [SV228: set_Pr204296108_a_a_e] :
( ( ^ [SY1565: set_Pr204296108_a_a_e] : ( SV228 = SY1565 ) )
= ( ^ [SY1566: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SV228 @ SY1566 )
| ~ ( ord_le700723212_a_a_e @ SY1566 @ SV228 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1247]) ).
thf(1616,plain,
( ( ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SX0 @ SX1 )
| ~ ( ord_le700723212_a_a_e @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1247]) ).
thf(1617,plain,
! [SV229: set_a] :
( ( ! [SY1567: set_a] :
( ~ ( ord_less_eq_set_a @ SV229 @ SY1567 )
| ~ ( ord_less_eq_set_a @ SY1567 @ SV229 )
| ( SV229 = SY1567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1618,plain,
! [SV230: $o > set_a] :
( ( ! [SY1568: ( $o > set_a ) > $o > set_a,SY1569: $o > set_a,SY1570: $o > set_a] :
( ( SV230
!= ( SY1568 @ SY1569 ) )
| ~ ( ord_less_eq_o_set_a @ SY1569 @ SY1570 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SY1568 @ SX4 ) @ ( SY1568 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SY1568 @ SY1570 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1619,plain,
! [SV231: set_a] :
( ( ! [SY1573: produc715398134_a_a_e > set_a,SY1574: set_Pr204296108_a_a_e] :
( ~ ( member_set_a @ SV231 @ ( image_64240033_set_a @ SY1573 @ SY1574 ) )
| ~ ! [SY1575: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY1575 @ SY1574 )
| ( SV231
!= ( SY1573 @ SY1575 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1620,plain,
! [SV232: produc715398134_a_a_e] :
( ( ! [SY1576: set_Pr204296108_a_a_e,SY1577: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SV232 @ SY1576 )
| ( member_set_a @ ( SY1577 @ SV232 ) @ ( image_64240033_set_a @ SY1577 @ SY1576 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1621,plain,
( ( ! [SV233: set_a] :
( ( ord_less_eq_set_a @ SV233 )
= ( ^ [SY1578: set_a] :
! [SY1579: a] :
( ~ ( member_a @ SY1579 @ SV233 )
| ( member_a @ SY1579 @ SY1578 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1252]) ).
thf(1622,plain,
( ( ord_less_eq_set_a
= ( ^ [SX0: set_a,SX1: set_a] :
! [SX2: a] :
( ~ ( member_a @ SX2 @ SX0 )
| ( member_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1252]) ).
thf(1623,plain,
! [SV234: a] :
( ( ! [SY1580: a > a,SY1581: a,SY1582: set_a] :
( ( SV234
!= ( SY1580 @ SY1581 ) )
| ~ ( member_a @ SY1581 @ SY1582 )
| ( member_a @ SV234 @ ( image_a_a @ SY1580 @ SY1582 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1624,plain,
( ( ! [SV235: set_a] :
( ( ^ [SY1583: set_a] : ( SV235 = SY1583 ) )
= ( ^ [SY1584: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV235 @ SY1584 )
| ~ ( ord_less_eq_set_a @ SY1584 @ SV235 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1254]) ).
thf(1625,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1254]) ).
thf(1626,plain,
! [SV236: produc715398134_a_a_e] :
( ( ~ ! [SY1585: set_a] :
~ ~ ! [SY1586: a > e] :
( SV236
!= ( produc1134456688_a_a_e @ SY1585 @ SY1586 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1627,plain,
! [SV237: set_a_e] :
( ( ! [SY1587: set_a_e] :
( ~ ! [SY1588: a > e] :
( ~ ( member_a_e @ SY1588 @ SV237 )
| ( member_a_e @ SY1588 @ SY1587 ) )
| ( ord_less_eq_set_a_e @ SV237 @ SY1587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1628,plain,
( ( ! [SV238: set_set_a] :
( ( ^ [SY1589: set_set_a] : ( SV238 = SY1589 ) )
= ( ^ [SY1590: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SY1590 @ SV238 )
| ~ ( ord_le318720350_set_a @ SV238 @ SY1590 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1257]) ).
thf(1629,plain,
( ( ( ^ [SX0: set_set_a,SX1: set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SX1 @ SX0 )
| ~ ( ord_le318720350_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1257]) ).
thf(1630,plain,
( ( ! [SX0: set_a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( member_set_a @ SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ SX0 ) )
| ~ ( ord_less_eq_set_a @ a3 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1631,plain,
! [SV239: set_Pr305929312_set_a] :
( ( ! [SY1591: set_Pr305929312_set_a] :
( ~ ! [SY1592: produc1965228714_set_a] :
( ~ ( member360729153_set_a @ SY1592 @ SV239 )
| ( member360729153_set_a @ SY1592 @ SY1591 ) )
| ( ord_le802356416_set_a @ SV239 @ SY1591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1632,plain,
! [SV240: produc715398134_a_a_e > set_a] :
( ( ! [SY1593: set_Pr204296108_a_a_e,SY1594: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV240 @ SY1593 ) @ SY1594 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV240 ) @ ( finite33065488_a_a_e @ SY1593 ) ) @ ( finite_Fpow_set_a @ SY1594 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1633,plain,
! [SV241: set_a] :
( ( ! [SY1595: set_set_a,SY1596: set_a,SY1597: set_a > set_a] :
( ~ ( member_set_a @ SV241 @ SY1595 )
| ( SY1596
!= ( SY1597 @ SV241 ) )
| ( member_set_a @ SY1596 @ ( image_set_a_set_a @ SY1597 @ SY1595 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1634,plain,
! [SV242: set_set_set_a] :
( ( ! [SY1598: set_set_set_a] :
( ~ ! [SY1599: set_set_a] :
( ~ ( member_set_set_a @ SY1599 @ SV242 )
| ( member_set_set_a @ SY1599 @ SY1598 ) )
| ( ord_le2103863998_set_a @ SV242 @ SY1598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1635,plain,
! [SV243: a > e] :
( ( ! [SY1600: set_a,SY1601: set_Pr305929312_set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV243 @ SY1600 ) @ SY1601 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1600 @ SV243 ) @ ( converse_a_e_set_a @ SY1601 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1636,plain,
! [SV244: set_a] :
( ( ! [SY1602: a > e,SY1603: set_a,SY1604: a > e] :
( ( ( produc1134456688_a_a_e @ SV244 @ SY1602 )
= ( produc1134456688_a_a_e @ SY1603 @ SY1604 ) )
= ( ~ ( ( SV244 != SY1603 )
| ( SY1602 != SY1604 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1637,plain,
! [SV245: set_a] :
( ( ! [SY1605: set_a,SY1606: set_a] :
( ~ ( ord_less_eq_set_a @ SV245 @ SY1605 )
| ( SY1605 != SY1606 )
| ( ord_less_eq_set_a @ SV245 @ SY1606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1638,plain,
! [SV246: set_a] :
( ( ! [SY1607: set_a,SY1608: a > set_a] :
( ~ ( ord_less_eq_set_a @ SV246 @ SY1607 )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SY1608 @ SV246 ) @ ( image_a_set_a @ SY1608 @ SY1607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1639,plain,
! [SV247: produc715398134_a_a_e] :
( ( ! [SY1609: set_Pr204296108_a_a_e,SY1610: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV247 @ SY1609 )
| ( member1258382221_a_a_e @ ( SY1610 @ SV247 ) @ ( image_625620211_a_a_e @ SY1610 @ SY1609 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1640,plain,
! [SV248: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV248 @ c )
| ! [SY1611: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1611 @ c )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV248 ) @ ( produc1040928388_a_a_e @ SY1611 ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SY1611 ) @ ( produc1040928388_a_a_e @ SV248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1641,plain,
! [SV249: set_a] :
( ( ! [SY1612: set_a,SY1613: set_a > set_a,SY1614: set_a] :
( ~ ( ord_less_eq_set_a @ SV249 @ SY1612 )
| ( ( SY1613 @ SY1612 )
!= SY1614 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1613 @ SX4 ) @ ( SY1613 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY1613 @ SV249 ) @ SY1614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1642,plain,
! [SV250: set_Pr204296108_a_a_e] :
( ( ! [SY1617: set_Pr204296108_a_a_e,SY1618: produc715398134_a_a_e] :
( ~ ( ( ord_le700723212_a_a_e @ SV250 @ SY1617 )
| ( ord_le700723212_a_a_e @ SY1617 @ SV250 ) )
| ~ ( member1258382221_a_a_e @ SY1618 @ SV250 )
| ~ ~ ( member1258382221_a_a_e @ SY1618 @ SY1617 )
| ( ord_le700723212_a_a_e @ SY1617 @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1643,plain,
! [SV251: set_set_a] :
( ( ! [SY1619: produc715398134_a_a_e > set_a,SY1620: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SY1619 @ SY1620 ) )
= ( ~ ! [SY1621: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY1621 @ SY1620 )
| ( SV251
!= ( image_64240033_set_a @ SY1619 @ SY1621 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1644,plain,
! [SV252: set_set_a] :
( ( ! [SY1622: set_set_a,SY1623: set_set_a > set_a,SY1624: set_a] :
( ~ ( ord_le318720350_set_a @ SV252 @ SY1622 )
| ( ( SY1623 @ SY1622 )
!= SY1624 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1623 @ SX4 ) @ ( SY1623 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY1623 @ SV252 ) @ SY1624 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1645,plain,
! [SV253: set_set_set_a] :
( ( ! [SY1627: ( $o > set_a ) > set_set_set_a,SY1628: $o > set_a,SY1629: $o > set_a] :
( ( SV253
!= ( SY1627 @ SY1628 ) )
| ~ ( ord_less_eq_o_set_a @ SY1628 @ SY1629 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SY1627 @ SX4 ) @ ( SY1627 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SY1627 @ SY1629 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1646,plain,
! [SV254: set_set_set_a] :
( ( ! [SY1632: set_set_set_a] :
( ( SV254 != SY1632 )
| ( ord_le2103863998_set_a @ SV254 @ SY1632 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1647,plain,
! [SV255: set_a] :
( ( ! [SY1633: set_a] :
( ~ ( ord_less_eq_set_a @ SV255 @ SY1633 )
| ( ( ord_less_eq_set_a @ SY1633 @ SV255 )
= ( SY1633 = SV255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1648,plain,
! [SV256: set_Pr204296108_a_a_e] :
( ( ~ ! [SY1634: produc715398134_a_a_e] : ( member1258382221_a_a_e @ SY1634 @ SV256 )
| ( top_to1601855068_a_a_e = SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1649,plain,
! [SV257: set_a > ( a > e ) > $o] :
( ( ! [SY1635: set_a,SY1636: a > e,SY1637: produc715398134_a_a_e] :
( ~ ( SV257 @ SY1635 @ SY1636 )
| ( SY1637
!= ( produc1134456688_a_a_e @ SY1635 @ SY1636 ) )
| ( SV257 @ ( produc1040928388_a_a_e @ SY1637 ) @ ( produc317566658_a_a_e @ SY1637 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1650,plain,
! [SV258: a > e] :
( ( ! [SY1638: set_Pr204296108_a_a_e] :
( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SY1638 ) )
= ( ~ ! [SY1639: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1639 @ SV258 ) @ SY1638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1651,plain,
! [SV259: set_set_a] :
( ( ! [SY1640: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV259 @ SY1640 )
| ~ ( ord_le318720350_set_a @ SY1640 @ SV259 )
| ( SV259 = SY1640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1652,plain,
! [SV260: produc715398134_a_a_e > set_a] :
( ( ! [SY1641: set_a] :
( ( ( image_64240033_set_a @ SV260 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1642: produc715398134_a_a_e] :
( SY1641
!= ( SV260 @ SY1642 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1653,plain,
! [SV261: set_Pr204296108_a_a_e] :
( ( ! [SY1643: set_Pr204296108_a_a_e,SY1644: produc715398134_a_a_e] :
( ~ ( ( ord_le700723212_a_a_e @ SV261 @ SY1643 )
| ( ord_le700723212_a_a_e @ SY1643 @ SV261 ) )
| ~ ~ ( member1258382221_a_a_e @ SY1644 @ SV261 )
| ~ ( member1258382221_a_a_e @ SY1644 @ SY1643 )
| ( ord_le700723212_a_a_e @ SV261 @ SY1643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1654,plain,
! [SV262: set_a] :
( ( ! [SY1645: set_set_a,SY1646: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SV262 @ SY1645 )
| ( member1258382221_a_a_e @ ( SY1646 @ SV262 ) @ ( image_210900495_a_a_e @ SY1646 @ SY1645 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1655,plain,
! [SV263: set_a] :
( ( ! [SY1647: set_a > a,SY1648: set_set_a] :
( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SY1647 @ SY1648 ) )
= ( ~ ! [SY1649: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY1649 @ SY1648 )
| ( SV263
!= ( image_set_a_a @ SY1647 @ SY1649 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1656,plain,
! [SV264: set_a] :
( ( ! [SY1650: set_a > set_a,SY1651: set_a,SY1652: set_a] :
( ( SV264
!= ( SY1650 @ SY1651 ) )
| ~ ( ord_less_eq_set_a @ SY1651 @ SY1652 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1650 @ SX4 ) @ ( SY1650 @ SX5 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SY1650 @ SY1652 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1657,plain,
! [SV265: set_a] :
( ( ! [SY1655: set_a,SY1656: a] :
( ~ ( ord_less_eq_set_a @ SV265 @ SY1655 )
| ~ ~ ( member_a @ SY1656 @ SV265 )
| ~ ( member_a @ SY1656 @ SY1655 )
| ( SV265 != SY1655 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1658,plain,
! [SV266: set_set_a] :
( ( ! [SY1657: set_set_a] :
( ~ ~ ( ord_le318720350_set_a @ SV266 @ SY1657 )
| ~ ! [SY1658: set_a] :
~ ~ ( ~ ( member_set_a @ SY1658 @ SV266 )
| ~ ~ ( member_set_a @ SY1658 @ SY1657 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1659,plain,
! [SV267: set_a] :
( ( ! [SY1659: a > e,SY1660: set_a,SY1661: a > e] :
( ( ( produc1134456688_a_a_e @ SV267 @ SY1659 )
= ( produc1134456688_a_a_e @ SY1660 @ SY1661 ) )
= ( ~ ( ( SV267 != SY1660 )
| ( SY1659 != SY1661 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1660,plain,
! [SV268: a > e] :
( ( ! [SY1662: a > a > e,SY1663: a,SY1664: set_a] :
( ( SV268
!= ( SY1662 @ SY1663 ) )
| ~ ( member_a @ SY1663 @ SY1664 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SY1662 @ SY1664 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1661,plain,
! [SV269: set_a] :
( ( ! [SY1665: set_a > ( a > e ) > set_set_a,SY1666: produc715398134_a_a_e] :
( ~ ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SY1665 @ SY1666 ) )
| ~ ! [SY1667: set_a,SY1668: a > e] :
( ( SY1666
!= ( produc1134456688_a_a_e @ SY1667 @ SY1668 ) )
| ~ ( member_set_a @ SV269 @ ( SY1665 @ SY1667 @ SY1668 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1662,plain,
! [SV270: set_set_set_a] :
( ( ! [SY1669: set_set_a > set_set_a,SY1670: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SY1669 @ SY1670 ) )
| ~ ! [SY1671: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY1671 @ SY1670 )
| ( SV270
!= ( image_1956910981_set_a @ SY1669 @ SY1671 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1663,plain,
! [SV271: set_a] :
( ( ! [SY1672: set_a > set_a,SY1673: set_a,SY1674: a > e,SY1675: set_a > a > e,SY1676: set_set_a] :
( ( SV271
!= ( SY1672 @ SY1673 ) )
| ( SY1674
!= ( SY1675 @ SY1673 ) )
| ~ ( member_set_a @ SY1673 @ SY1676 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SY1674 ) @ ( bNF_Gr1872575811_a_a_e @ SY1676 @ SY1672 @ SY1675 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1664,plain,
! [SV272: ( a > e ) > set_a > $o] :
( ( ! [SY1677: produc715398134_a_a_e] :
( ~ ( SV272 @ ( produc317566658_a_a_e @ SY1677 ) @ ( produc1040928388_a_a_e @ SY1677 ) )
| ~ ! [SY1678: set_a,SY1679: a > e] :
~ ( SV272 @ SY1679 @ SY1678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1665,plain,
! [SV273: produc715398134_a_a_e] :
( ( ! [SY1680: set_a > ( a > e ) > set_Pr204296108_a_a_e,SY1681: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SY1680 @ SY1681 ) )
| ~ ! [SY1682: set_a,SY1683: a > e] :
( ( SY1681
!= ( produc1134456688_a_a_e @ SY1682 @ SY1683 ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SY1680 @ SY1682 @ SY1683 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1666,plain,
! [SV274: a > e] :
( ( ! [SY1684: set_Pr204296108_a_a_e] :
( ~ ( member_a_e @ SV274 @ ( range_set_a_a_e @ SY1684 ) )
| ~ ! [SY1685: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1685 @ SV274 ) @ SY1684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1667,plain,
! [SV275: $o > set_a] :
( ( ! [SY1686: $o > set_a,SY1687: ( $o > set_a ) > set_a,SY1688: set_a] :
( ~ ( ord_less_eq_o_set_a @ SV275 @ SY1686 )
| ( ( SY1687 @ SY1686 )
!= SY1688 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1687 @ SX4 ) @ ( SY1687 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY1687 @ SV275 ) @ SY1688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1668,plain,
! [SV276: set_a] :
( ( ! [SY1691: set_a] :
( ~ ~ ( ord_less_eq_set_a @ SV276 @ SY1691 )
| ~ ! [SY1692: a] :
~ ~ ( ~ ( member_a @ SY1692 @ SV276 )
| ~ ~ ( member_a @ SY1692 @ SY1691 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1669,plain,
! [SV277: set_a] :
( ( ! [SY1693: set_a,SY1694: a] :
( ~ ( ( ord_less_eq_set_a @ SV277 @ SY1693 )
| ( ord_less_eq_set_a @ SY1693 @ SV277 ) )
| ~ ( member_a @ SY1694 @ SV277 )
| ~ ~ ( member_a @ SY1694 @ SY1693 )
| ( ord_less_eq_set_a @ SY1693 @ SV277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1670,plain,
! [SV278: set_set_a] :
( ( ! [SY1695: set_set_a] :
( ( SV278 != SY1695 )
| ( ord_le318720350_set_a @ SV278 @ SY1695 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1671,plain,
! [SV279: set_a] :
( ( ! [SY1696: set_set_a,SY1697: produc715398134_a_a_e,SY1698: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SV279 @ SY1696 )
| ( SY1697
!= ( SY1698 @ SV279 ) )
| ( member1258382221_a_a_e @ SY1697 @ ( image_210900495_a_a_e @ SY1698 @ SY1696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1672,plain,
! [SV280: produc1965228714_set_a] :
( ( ~ ! [SY1699: a > e] :
~ ~ ! [SY1700: set_a] :
( SV280
!= ( produc479206876_set_a @ SY1699 @ SY1700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1673,plain,
( ( ! [SV281: $o > set_a] :
( ( ^ [SY1701: $o > set_a] : ( SV281 = SY1701 ) )
= ( ^ [SY1702: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SV281 @ SY1702 )
| ~ ( ord_less_eq_o_set_a @ SY1702 @ SV281 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1301]) ).
thf(1674,plain,
( ( ( ^ [SX0: $o > set_a,SX1: $o > set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1301]) ).
thf(1675,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= ( ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1676,plain,
! [SV283: set_Pr204296108_a_a_e] :
( ( ! [SY1705: set_Pr204296108_a_a_e,SY1706: produc715398134_a_a_e > set_a,SY1707: produc715398134_a_a_e > set_a,SY1708: set_set_a > set_a] :
( ( SV283 != SY1705 )
| ~ ! [SX5: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX5 @ SY1705 )
| ( ( SY1706 @ SX5 )
= ( SY1707 @ SX5 ) ) )
| ( ( SY1708 @ ( image_64240033_set_a @ SY1706 @ SV283 ) )
= ( SY1708 @ ( image_64240033_set_a @ SY1707 @ SY1705 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1677,plain,
! [SV284: set_set_a] :
( ( ! [SY1710: set_a > produc715398134_a_a_e,SY1711: set_Pr204296108_a_a_e] :
( ~ ! [SY1712: set_a] :
( ~ ( member_set_a @ SY1712 @ SV284 )
| ( member1258382221_a_a_e @ ( SY1710 @ SY1712 ) @ SY1711 ) )
| ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SY1710 @ SV284 ) @ SY1711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1678,plain,
! [SV285: set_set_a] :
( ( ! [SY1713: set_set_a,SY1714: set_a] :
( ~ ( ord_le318720350_set_a @ SV285 @ SY1713 )
| ~ ( member_set_a @ SY1714 @ SV285 )
| ( member_set_a @ SY1714 @ SY1713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1679,plain,
! [SV286: produc715398134_a_a_e] :
( ( ! [SY1715: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SV286 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY1715 ) ) )
| ( SY1715 @ ( produc1040928388_a_a_e @ SV286 ) @ ( produc317566658_a_a_e @ SV286 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1680,plain,
( ( ! [SV287: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ SV287 )
= ( ^ [SY1716: set_Pr204296108_a_a_e] :
! [SY1717: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1717 @ SV287 )
| ( member1258382221_a_a_e @ SY1717 @ SY1716 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1681,plain,
( ( ord_le700723212_a_a_e
= ( ^ [SX0: set_Pr204296108_a_a_e,SX1: set_Pr204296108_a_a_e] :
! [SX2: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SX2 @ SX0 )
| ( member1258382221_a_a_e @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1682,plain,
! [SV288: set_a] :
( ( ! [SY1718: a > e,SY1719: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SY1718 ) @ ( converse_a_e_set_a @ SY1719 ) )
= ( ~ ! [SY1720: a > e] :
~ ~ ! [SY1721: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY1721 )
| ( SY1718 != SY1720 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY1720 @ SY1721 ) @ SY1719 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1683,plain,
! [SV289: set_a] :
( ( ! [SY1722: set_Pr204296108_a_a_e] :
( ~ ( member_set_a @ SV289 @ ( domain_set_a_a_e @ SY1722 ) )
| ~ ! [SY1723: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV289 @ SY1723 ) @ SY1722 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1684,plain,
! [SV290: set_set_a] :
( ( ! [SY1724: set_set_a,SY1725: set_set_a] :
( ( SV290 != SY1724 )
| ~ ( ord_le318720350_set_a @ SY1724 @ SY1725 )
| ( ord_le318720350_set_a @ SV290 @ SY1725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1685,plain,
! [SV291: produc715398134_a_a_e > $o] :
( ( ! [SY1726: set_a,SY1727: a > e] :
( ~ ( SV291 @ ( produc1134456688_a_a_e @ SY1726 @ SY1727 ) )
| ( produc952037978_a_e_o @ SV291 @ SY1726 @ SY1727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1686,plain,
! [SV292: produc715398134_a_a_e > set_a] :
( ( ! [SY1728: set_Pr204296108_a_a_e,SY1729: set_set_a] :
( ( ( image_64240033_set_a @ SV292 @ SY1728 )
!= SY1729 )
| ( ( image_1441218763_set_a @ ( image_64240033_set_a @ SV292 ) @ ( pow_Pr328302361_a_a_e @ SY1728 ) )
= ( pow_set_a @ SY1729 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1687,plain,
( ( ! [SV293: set_set_set_a] :
( ( ^ [SY1730: set_set_set_a] : ( SV293 = SY1730 ) )
= ( ^ [SY1731: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SV293 @ SY1731 )
| ~ ( ord_le2103863998_set_a @ SY1731 @ SV293 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1313]) ).
thf(1688,plain,
( ( ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SX0 @ SX1 )
| ~ ( ord_le2103863998_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1313]) ).
thf(1689,plain,
! [SV294: set_set_set_a] :
( ( ! [SY1732: set_set_a > set_set_a,SY1733: set_set_set_a] :
( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SY1732 @ SY1733 ) )
= ( ~ ! [SY1734: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY1734 @ SY1733 )
| ( SV294
!= ( image_1956910981_set_a @ SY1732 @ SY1734 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1690,plain,
! [SV295: a > e] :
( ( ! [SY1735: set_Pr204296108_a_a_e] :
( ~ ( member_a_e @ SV295 @ ( range_set_a_a_e @ SY1735 ) )
| ~ ! [SY1736: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1736 @ SV295 ) @ SY1735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1691,plain,
! [SV296: set_set_a] :
( ( ! [SY1737: set_set_a,SY1738: set_a > set_a] :
( ~ ( ord_le318720350_set_a @ SV296 @ SY1737 )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SY1738 @ SV296 ) @ ( image_set_a_set_a @ SY1738 @ SY1737 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1692,plain,
( ( ! [SV297: set_set_set_a] :
( ( ^ [SY1739: set_set_set_a] : ( SV297 = SY1739 ) )
= ( ^ [SY1740: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SY1740 @ SV297 )
| ~ ( ord_le2103863998_set_a @ SV297 @ SY1740 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1317]) ).
thf(1693,plain,
( ( ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_set_a,SX1: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SX1 @ SX0 )
| ~ ( ord_le2103863998_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1317]) ).
thf(1694,plain,
! [SV298: set_a] :
( ( ! [SY1741: set_a > set_a,SY1742: set_a,SY1743: set_set_a] :
( ( SV298
!= ( SY1741 @ SY1742 ) )
| ~ ( member_set_a @ SY1742 @ SY1743 )
| ( member_set_a @ SV298 @ ( image_set_a_set_a @ SY1741 @ SY1743 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1695,plain,
( ( ! [SV299: set_a] :
( ( ^ [SY1744: set_a] : ( SV299 = SY1744 ) )
= ( ^ [SY1745: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV299 @ SY1745 )
| ~ ( ord_less_eq_set_a @ SY1745 @ SV299 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1319]) ).
thf(1696,plain,
( ( ( ^ [SX0: set_a,SX1: set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_a,SX1: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1319]) ).
thf(1697,plain,
( ( ! [SV300: set_set_a] :
( ( ^ [SY1746: set_set_a] : ( SV300 = SY1746 ) )
= ( ^ [SY1747: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SV300 @ SY1747 )
| ~ ( ord_le318720350_set_a @ SY1747 @ SV300 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1320]) ).
thf(1698,plain,
( ( ( ^ [SX0: set_set_a,SX1: set_set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_set_a,SX1: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SX0 @ SX1 )
| ~ ( ord_le318720350_set_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1320]) ).
thf(1699,plain,
! [SV301: set_Pr204296108_a_a_e] :
( ( ! [SY1748: set_Pr204296108_a_a_e,SY1749: produc715398134_a_a_e > set_a] :
( ~ ( ord_le700723212_a_a_e @ SV301 @ SY1748 )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SY1749 @ SV301 ) @ ( image_64240033_set_a @ SY1749 @ SY1748 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1700,plain,
! [SV302: set_set_set_a] :
( ( ! [SY1750: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV302 @ SY1750 )
| ~ ( ord_le2103863998_set_a @ SY1750 @ SV302 )
| ( SV302 = SY1750 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1701,plain,
! [SV303: set_a] :
( ( ! [SY1751: a > a,SY1752: set_a] :
( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SY1751 @ SY1752 ) )
= ( ~ ! [SY1753: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY1753 @ SY1752 )
| ( SV303
!= ( image_a_a @ SY1751 @ SY1753 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1702,plain,
! [SV304: produc715398134_a_a_e] :
( ( ~ ! [SY1754: set_a,SY1755: a > e] :
( SV304
!= ( produc1134456688_a_a_e @ SY1754 @ SY1755 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1703,plain,
! [SV305: set_a] :
( ( ! [SY1756: a > a > e,SY1757: set_a_e] :
( ~ ! [SY1758: a] :
( ~ ( member_a @ SY1758 @ SV305 )
| ( member_a_e @ ( SY1756 @ SY1758 ) @ SY1757 ) )
| ( ord_less_eq_set_a_e @ ( image_a_a_e @ SY1756 @ SV305 ) @ SY1757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1704,plain,
! [SV306: set_set_a] :
( ( ! [SY1759: set_set_a,SY1760: set_set_a > set_set_set_a,SY1761: set_set_set_a] :
( ~ ( ord_le318720350_set_a @ SV306 @ SY1759 )
| ( ( SY1760 @ SY1759 )
!= SY1761 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SY1760 @ SX4 ) @ ( SY1760 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ ( SY1760 @ SV306 ) @ SY1761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1705,plain,
! [SV307: set_a > $o] :
( ( ! [SY1764: set_a,SY1765: ( a > e ) > $o,SY1766: a > e] :
( ~ ( SV307 @ SY1764 )
| ~ ( SY1765 @ SY1766 )
| ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SY1764 @ SY1766 ) ) )
| ~ ( SY1765 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SY1764 @ SY1766 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1706,plain,
! [SV308: set_a] :
( ( ! [SY1767: set_set_a,SY1768: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SV308 @ SY1767 )
| ( member1258382221_a_a_e @ ( SY1768 @ SV308 ) @ ( image_210900495_a_a_e @ SY1768 @ SY1767 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1707,plain,
! [SV309: set_a] :
( ( ! [SY1769: a > set_a,SY1770: set_set_a] :
( ~ ! [SY1771: a] :
( ~ ( member_a @ SY1771 @ SV309 )
| ( member_set_a @ ( SY1769 @ SY1771 ) @ SY1770 ) )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SY1769 @ SV309 ) @ SY1770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1708,plain,
! [SV310: $o > set_a] :
( ( ! [SY1772: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV310 @ SY1772 )
| ~ ( ord_less_eq_o_set_a @ SY1772 @ SV310 )
| ( SV310 = SY1772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1709,plain,
! [SV311: a > e] :
( ( ! [SY1773: set_a,SY1774: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV311 @ SY1773 ) @ ( converse_set_a_a_e @ SY1774 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1773 @ SV311 ) @ SY1774 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1710,plain,
! [SV312: produc1965228714_set_a] :
( ( ! [SY1775: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SY1775 ) )
| ~ ! [SY1776: set_a,SY1777: a > e] :
( ( SV312
!= ( produc479206876_set_a @ SY1777 @ SY1776 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1776 @ SY1777 ) @ SY1775 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1711,plain,
! [SV313: set_a] :
( ( ! [SY1778: a > e,SY1779: set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV313 @ SY1778 ) )
!= SY1779 )
| ( SV313 = SY1779 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1712,plain,
! [SV314: set_a] :
( ( ! [SY1780: set_a,SY1781: set_a] :
( ( SV314 != SY1780 )
| ~ ( ord_less_eq_set_a @ SV314 @ SY1781 )
| ( ord_less_eq_set_a @ SY1780 @ SY1781 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1713,plain,
! [SV315: $o > set_a] :
( ( ! [SY1782: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV315 @ SY1782 )
| ~ ( ord_less_eq_o_set_a @ SY1782 @ SV315 )
| ( SV315 = SY1782 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1714,plain,
! [SV316: set_a] :
( ( ! [SY1783: a > e,SY1784: set_Pr204296108_a_a_e,SY1785: set_a > set_a,SY1786: ( a > e ) > a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV316 @ SY1783 ) @ SY1784 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SY1785 @ SV316 ) @ ( SY1786 @ SY1783 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SY1785 @ SY1786 ) @ SY1784 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1715,plain,
! [SV317: set_Pr204296108_a_a_e] :
( ( ! [SY1787: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV317 @ SY1787 )
| ~ ( ord_le700723212_a_a_e @ SY1787 @ SV317 )
| ( SV317 = SY1787 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1716,plain,
! [SV318: a > $o] :
( ( ! [SY1788: a > $o] :
( ~ ! [SY1789: a] :
( ~ ( SV318 @ SY1789 )
| ( SY1788 @ SY1789 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SY1788 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1717,plain,
! [SV319: produc715398134_a_a_e] :
( ( ! [SY1790: set_a,SY1791: a > e] :
( ( SV319
!= ( produc1134456688_a_a_e @ SY1790 @ SY1791 ) )
| ( ( produc1040928388_a_a_e @ SV319 )
= SY1790 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1718,plain,
! [SV320: set_set_a] :
( ( ! [SY1792: set_set_a] :
( ~ ( ( SV320 != SY1792 ) )
| ~ ( ord_le318720350_set_a @ SY1792 @ SV320 )
| ~ ! [SY1793: set_a] :
~ ~ ( ~ ( member_set_a @ SY1793 @ SV320 )
| ~ ~ ( member_set_a @ SY1793 @ SY1792 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1719,plain,
! [SV321: produc715398134_a_a_e > set_a] :
( ( ! [SY1794: set_Pr204296108_a_a_e,SY1795: set_a > $o] :
( ~ ~ ! [SY1796: set_a] :
~ ~ ( ~ ( member_set_a @ SY1796 @ ( image_64240033_set_a @ SV321 @ SY1794 ) )
| ~ ( SY1795 @ SY1796 ) )
| ~ ! [SY1797: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY1797 @ SY1794 )
| ~ ( SY1795 @ ( SV321 @ SY1797 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1720,plain,
! [SV322: set_Pr204296108_a_a_e] :
( ( ! [SY1798: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV322 @ SY1798 )
| ~ ( ord_le700723212_a_a_e @ SY1798 @ SV322 )
| ( SV322 = SY1798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1721,plain,
! [SV323: set_set_a] :
( ( ! [SY1799: set_set_a,SY1800: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV323 @ SY1799 )
| ~ ( ord_le318720350_set_a @ SY1800 @ SV323 )
| ( ord_le318720350_set_a @ SY1800 @ SY1799 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1722,plain,
! [SV324: set_Pr204296108_a_a_e] :
( ( ! [SY1801: produc715398134_a_a_e > set_a,SY1802: set_set_a,SY1803: produc715398134_a_a_e] :
( ~ ! [SY1804: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1804 @ SV324 )
| ( member_set_a @ ( SY1801 @ SY1804 ) @ SY1802 ) )
| ~ ( member1258382221_a_a_e @ SY1803 @ SV324 )
| ( member_set_a @ ( SY1801 @ SY1803 ) @ ( image_64240033_set_a @ SY1801 @ SV324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1723,plain,
! [SV325: set_Pr204296108_a_a_e] :
( ( ! [SY1805: set_Pr204296108_a_a_e] :
( ~ ! [SY1806: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1806 @ SV325 )
| ( member1258382221_a_a_e @ SY1806 @ SY1805 ) )
| ( ord_le700723212_a_a_e @ SV325 @ SY1805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1724,plain,
( ( ! [SV326: $o > set_a] :
( ( ^ [SY1807: $o > set_a] : ( SV326 = SY1807 ) )
= ( ^ [SY1808: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SY1808 @ SV326 )
| ~ ( ord_less_eq_o_set_a @ SV326 @ SY1808 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1346]) ).
thf(1725,plain,
( ( ( ^ [SX0: $o > set_a,SX1: $o > set_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: $o > set_a,SX1: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SX1 @ SX0 )
| ~ ( ord_less_eq_o_set_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1346]) ).
thf(1726,plain,
! [SV327: set_a] :
( ( ! [SY1809: set_a,SY1810: a] :
( ~ ( ord_less_eq_set_a @ SV327 @ SY1809 )
| ~ ( member_a @ SY1810 @ SV327 )
| ( member_a @ SY1810 @ SY1809 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1727,plain,
! [SV328: produc715398134_a_a_e] :
( ( ! [SY1811: produc715398134_a_a_e] :
( ( ( produc1040928388_a_a_e @ SV328 )
!= ( produc1040928388_a_a_e @ SY1811 ) )
| ( ( produc317566658_a_a_e @ SV328 )
!= ( produc317566658_a_a_e @ SY1811 ) )
| ( SV328 = SY1811 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1728,plain,
! [SV329: set_set_set_a] :
( ( ! [SY1812: a > set_set_a,SY1813: set_a] :
( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SY1812 @ SY1813 ) )
= ( ~ ! [SY1814: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY1814 @ SY1813 )
| ( SV329
!= ( image_a_set_set_a @ SY1812 @ SY1814 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1729,plain,
! [SV330: set_set_a] :
( ( ! [SY1815: set_set_a,SY1816: set_a > set_set_a] :
( ~ ( ord_le318720350_set_a @ SV330 @ SY1815 )
| ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ SY1816 @ SV330 ) @ ( image_1930509541_set_a @ SY1816 @ SY1815 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1730,plain,
! [SV331: set_a > $o] :
( ( ! [SY1817: set_a,SY1818: set_a > $o] :
( ~ ( SV331 @ SY1817 )
| ~ ! [SY1819: set_a] :
( ~ ( SV331 @ SY1819 )
| ( ord_less_eq_set_a @ SY1819 @ SY1817 ) )
| ~ ! [SY1820: set_a] :
( ~ ( SV331 @ SY1820 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY1820 ) )
| ( SY1818 @ SY1820 ) )
| ( SY1818 @ ( order_Greatest_set_a @ SV331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1731,plain,
! [SV332: produc715398134_a_a_e] :
( ( ! [SY1822: set_Pr204296108_a_a_e,SY1823: set_a,SY1824: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SV332 @ SY1822 )
| ( SY1823
!= ( SY1824 @ SV332 ) )
| ( member_set_a @ SY1823 @ ( image_64240033_set_a @ SY1824 @ SY1822 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1732,plain,
! [SV333: set_set_a] :
( ( ! [SY1825: set_a > a,SY1826: set_a] :
( ~ ! [SY1827: set_a] :
( ~ ( member_set_a @ SY1827 @ SV333 )
| ( member_a @ ( SY1825 @ SY1827 ) @ SY1826 ) )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SY1825 @ SV333 ) @ SY1826 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1733,plain,
! [SV334: set_set_set_a] :
( ( ! [SY1828: set_a > set_set_a,SY1829: set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SY1828 @ SY1829 ) )
| ~ ! [SY1830: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY1830 @ SY1829 )
| ( SV334
!= ( image_1930509541_set_a @ SY1828 @ SY1830 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1734,plain,
! [SV335: set_a_e] :
( ( ! [SY1831: ( a > e ) > a,SY1832: set_a] :
( ~ ! [SY1833: a > e] :
( ~ ( member_a_e @ SY1833 @ SV335 )
| ( member_a @ ( SY1831 @ SY1833 ) @ SY1832 ) )
| ( ord_less_eq_set_a @ ( image_a_e_a @ SY1831 @ SV335 ) @ SY1832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1735,plain,
! [SV336: set_a > set_a] :
( ( ! [SY1834: set_set_a,SY1835: set_set_a] :
( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SY1834 ) @ SY1835 )
= ( ! [SY1836: set_a] :
( ~ ( member_set_a @ SY1836 @ SY1834 )
| ( member_set_a @ ( SV336 @ SY1836 ) @ SY1835 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1736,plain,
! [SV337: set_set_a] :
( ( ! [SY1837: set_set_a > set_a,SY1838: set_set_set_a] :
( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SY1837 @ SY1838 ) )
= ( ~ ! [SY1839: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY1839 @ SY1838 )
| ( SV337
!= ( image_402591269_set_a @ SY1837 @ SY1839 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1737,plain,
! [SV338: set_a > produc715398134_a_a_e] :
( ( ! [SY1840: set_set_a,SY1841: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SY1840 ) @ SY1841 )
= ( ! [SY1842: set_a] :
( ~ ( member_set_a @ SY1842 @ SY1840 )
| ( member1258382221_a_a_e @ ( SV338 @ SY1842 ) @ SY1841 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1738,plain,
! [SV339: $o > set_a] :
( ( ! [SY1843: $o > set_a,SY1844: $o > set_a] :
( ( SV339 != SY1843 )
| ~ ( ord_less_eq_o_set_a @ SY1843 @ SY1844 )
| ( ord_less_eq_o_set_a @ SV339 @ SY1844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1739,plain,
! [SV340: set_a] :
( ( ! [SY1845: set_Pr204296108_a_a_e] :
( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SY1845 ) )
= ( ~ ! [SY1846: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY1846 ) @ SY1845 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1740,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= ( SV341 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1741,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= ( SV342 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1742,plain,
! [SV343: a > e,SV15: set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV15 @ SV343 ) )
= SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1743,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= ( ord_less_eq_set_a @ SV17 @ SV344 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1744,plain,
! [SV345: set_Pr204296108_a_a_e] :
( ( ( domain_set_a_a_e @ SV345 )
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV345 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1745,plain,
! [SV346: set_a,SV21: a > e] :
( ( ! [SY1847: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SY1847 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SY1847 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1746,plain,
! [SV347: a > e,SV22: set_a] :
( ( ! [SY1848: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SY1848 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SY1848 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1747,plain,
! [SV348: set_a,SV23: a > e] :
( ( ( produc100464700_set_a @ ( produc479206876_set_a @ SV23 @ SV348 ) )
= ( produc1134456688_a_a_e @ SV348 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1748,plain,
! [SV349: a > e,SV24: set_a] :
( ( ( produc755714512_a_a_e @ ( produc1134456688_a_a_e @ SV24 @ SV349 ) )
= ( produc479206876_set_a @ SV349 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1749,plain,
! [SV350: set_a,SV25: a > e] :
( ( ! [SY1849: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SY1849 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SY1849 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1750,plain,
! [SV351: a > e,SV26: set_a] :
( ( ! [SY1850: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SY1850 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SY1850 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1751,plain,
! [SV352: produc1965228714_set_a] :
( ( ( produc100464700_set_a @ SV352 )
= ( produc1134456688_a_a_e @ ( produc1809800494_set_a @ SV352 ) @ ( produc385678576_set_a @ SV352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1752,plain,
! [SV353: produc715398134_a_a_e] :
( ( ( produc755714512_a_a_e @ SV353 )
= ( produc479206876_set_a @ ( produc317566658_a_a_e @ SV353 ) @ ( produc1040928388_a_a_e @ SV353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1753,plain,
! [SV354: ( a > e ) > a > e,SV31: set_a > set_a] :
( ( ! [SY1851: set_a,SY1852: a > e] :
( ( produc1443219402_e_a_e @ SV31 @ SV354 @ ( produc1134456688_a_a_e @ SY1851 @ SY1852 ) )
= ( produc1134456688_a_a_e @ ( SV31 @ SY1851 ) @ ( SV354 @ SY1852 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1754,plain,
! [SV355: ( a > e ) > a > e,SV32: set_a > set_a] :
( ( ! [SY1853: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ ( produc1443219402_e_a_e @ SV32 @ SV355 @ SY1853 ) )
= ( SV32 @ ( produc1040928388_a_a_e @ SY1853 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1755,plain,
! [SV356: produc715398134_a_a_e,SV36: produc715398134_a_a_e > set_a] :
( ( member_set_a @ ( SV36 @ SV356 ) @ ( image_64240033_set_a @ SV36 @ top_to1601855068_a_a_e ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1756,plain,
! [SV37: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 = top_top_set_a ) )
| ~ ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 != top_top_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1757,plain,
! [SV37: set_a] :
( ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= ( SV37 = top_top_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1403]) ).
thf(1758,plain,
! [SV357: a > e,SV40: set_a] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV40 @ SV357 ) )
= SV357 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1759,plain,
! [SV358: set_a] :
( ( ( top_top_set_a_o @ SV358 )
= ( member_set_a @ SV358 @ top_top_set_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1760,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( top_to2000253225_a_e_o @ SV359 )
= ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1761,plain,
! [SV360: set_a > set_a > $o] :
( ( ( bNF_sn375433437_a_a_e @ SV360 )
= ( ^ [SY1854: set_a > ( a > e ) > $o,SY1855: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV360 @ SY1854 @ ( produc1040928388_a_a_e @ SY1855 ) @ ( produc317566658_a_a_e @ SY1855 ) ) @ ( produc317566658_a_a_e @ SY1855 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1762,plain,
! [SV361: set_a > ( a > e ) > $o] :
( ( ( bNF_fs1024561536_e_a_e @ SV361 )
= ( ^ [SY1856: ( a > e ) > ( a > e ) > $o,SY1857: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SY1857 ) @ ( bNF_pi1175744974_e_a_e @ SV361 @ SY1856 @ ( produc1040928388_a_a_e @ SY1857 ) @ ( produc317566658_a_a_e @ SY1857 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1763,plain,
! [SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 )
= ( ^ [SY1858: set_a,SY1859: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1858 @ SY1859 ) @ SV362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(1764,plain,
! [SV363: a > set_a,SV48: set_set_a] :
( ( ! [SY1860: set_a] :
( ~ ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SY1860 ) )
| ~ ! [SY1861: set_a] :
( ~ ( ord_less_eq_set_a @ SY1861 @ SY1860 )
| ( SV48
!= ( image_a_set_a @ SV363 @ SY1861 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1765,plain,
! [SV364: set_set_a,SV49: set_a] :
( ( ! [SY1862: set_a > set_a] :
( ~ ( member_set_a @ SV49 @ SV364 )
| ( member_set_a @ ( SY1862 @ SV49 ) @ ( image_set_a_set_a @ SY1862 @ SV364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1766,plain,
! [SV365: set_set_a,SV50: set_set_a] :
( ( ! [SY1863: set_a] :
( ~ ( ( ord_le318720350_set_a @ SV50 @ SV365 )
| ( ord_le318720350_set_a @ SV365 @ SV50 ) )
| ~ ~ ( member_set_a @ SY1863 @ SV50 )
| ~ ( member_set_a @ SY1863 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1767,plain,
! [SV366: set_set_a > set_a,SV51: set_set_a] :
( ( ! [SY1864: set_set_set_a] :
( ~ ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SY1864 ) )
| ~ ! [SY1865: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY1865 @ SY1864 )
| ( SV51
!= ( image_402591269_set_a @ SV366 @ SY1865 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(1768,plain,
! [SV367: a > e,SV52: set_a] :
( ( ! [SY1866: set_Pr305929312_set_a,SY1867: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SY1866 ) )
| ~ ! [SX4: a > e,SX5: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SX4 @ SX5 ) @ SY1866 )
| ( SY1867 @ SX5 @ SX4 ) )
| ( SY1867 @ SV52 @ SV367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1769,plain,
! [SV368: set_Pr204296108_a_a_e,SV53: set_a] :
( ( ! [SY1870: set_a > $o] :
( ~ ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
| ~ ! [SY1871: set_a,SY1872: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1871 @ SY1872 ) @ SV368 )
| ( SY1870 @ SY1871 ) )
| ( SY1870 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1770,plain,
! [SV369: set_a > produc715398134_a_a_e,SV54: produc715398134_a_a_e] :
( ( ! [SY1873: set_a,SY1874: set_set_a] :
( ( SV54
!= ( SV369 @ SY1873 ) )
| ~ ( member_set_a @ SY1873 @ SY1874 )
| ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SV369 @ SY1874 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1771,plain,
! [SV370: produc715398134_a_a_e > set_a,SV55: set_set_a] :
( ( ! [SY1875: set_Pr204296108_a_a_e] :
( ~ ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SY1875 ) )
| ~ ! [SY1876: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY1876 @ SY1875 )
| ( SV55
!= ( image_64240033_set_a @ SV370 @ SY1876 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1772,plain,
! [SV56: set_a] :
( ( ( ~ ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ a1 @ SV56 )
| ~ ( ord_less_eq_set_a @ a2 @ SV56 )
| ~ ( ord_less_eq_set_a @ a3 @ SV56 )
| thesis )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1773,plain,
! [SV57: set_set_a] :
( ( ( ~ ! [SY1157: set_a] : ( member_set_a @ SY1157 @ SV57 ) )
= $true )
| ( ( top_top_set_set_a = SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1774,plain,
! [SV371: set_set_a,SV58: set_set_a] :
( ( ! [SY1877: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV58 @ SV371 )
| ~ ( ord_le318720350_set_a @ SV371 @ SY1877 )
| ( ord_le318720350_set_a @ SV58 @ SY1877 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(1775,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
| ~ ! [SY1878: a > e,SY1879: set_a] :
( ( SV59
!= ( produc1134456688_a_a_e @ SY1879 @ SY1878 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY1878 @ SY1879 ) @ SV372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1776,plain,
! [SV373: set_set_set_a,SV60: set_set_set_a] :
( ( ! [SY1880: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV60 @ SV373 )
| ~ ( ord_le2103863998_set_a @ SV373 @ SY1880 )
| ( ord_le2103863998_set_a @ SV60 @ SY1880 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(1777,plain,
! [SV374: set_a,SV61: set_a] :
( ( ! [SY1881: set_a > $o > set_a,SY1882: $o > set_a] :
( ~ ( ord_less_eq_set_a @ SV61 @ SV374 )
| ( ( SY1881 @ SV374 )
!= SY1882 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SY1881 @ SX4 ) @ ( SY1881 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ ( SY1881 @ SV61 ) @ SY1882 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1433]) ).
thf(1778,plain,
! [SV375: set_Pr204296108_a_a_e,SV62: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV62 @ SV375 )
| ~ ( ord_le700723212_a_a_e @ SV375 @ SV62 )
| ( SV375 = SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1779,plain,
! [SV376: set_a,SV63: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV63 @ SV376 )
| ~ ( ord_less_eq_set_a @ SV376 @ SV63 )
| ( SV63 = SV376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1435]) ).
thf(1780,plain,
! [SV377: $o > set_a] :
( ( ( ^ [SY1885: $o > set_a] : ( SV377 = SY1885 ) )
= ( ^ [SY1886: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SY1886 )
| ~ ( ord_less_eq_o_set_a @ SY1886 @ SV377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(1781,plain,
! [SV378: produc715398134_a_a_e > a,SV65: set_Pr204296108_a_a_e] :
( ( ! [SY1887: set_a] :
( ~ ! [SY1888: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1888 @ SV65 )
| ( member_a @ ( SV378 @ SY1888 ) @ SY1887 ) )
| ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SY1887 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1782,plain,
! [SV379: set_a,SV66: set_a] :
( ( ! [SY1889: set_a > set_set_set_a,SY1890: set_set_set_a] :
( ~ ( ord_less_eq_set_a @ SV66 @ SV379 )
| ( ( SY1889 @ SV379 )
!= SY1890 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SY1889 @ SX4 ) @ ( SY1889 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ ( SY1889 @ SV66 ) @ SY1890 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1783,plain,
! [SV380: set_a,SV67: set_a] :
( ( ( SV67 != SV380 )
| ~ ( ~ ( ord_less_eq_set_a @ SV67 @ SV380 )
| ~ ( ord_less_eq_set_a @ SV380 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1784,plain,
! [SV381: $o > set_a,SV68: $o > set_a] :
( ( ! [SY1893: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV68 @ SV381 )
| ~ ( ord_less_eq_o_set_a @ SV381 @ SY1893 )
| ( ord_less_eq_o_set_a @ SV68 @ SY1893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1785,plain,
! [SV382: produc715398134_a_a_e > produc715398134_a_a_e,SV69: set_Pr204296108_a_a_e] :
( ( ! [SY1894: set_Pr204296108_a_a_e] :
( ~ ! [SY1895: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1895 @ SV69 )
| ( member1258382221_a_a_e @ ( SV382 @ SY1895 ) @ SY1894 ) )
| ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SY1894 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1786,plain,
! [SV383: set_a,SV70: a > a] :
( ( ! [SY1896: set_a > $o] :
( ( ! [SY1897: set_a] :
( ~ ( ord_less_eq_set_a @ SY1897 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SY1896 @ SY1897 ) ) )
= ( ! [SY1898: set_a] :
( ~ ( ord_less_eq_set_a @ SY1898 @ SV383 )
| ( SY1896 @ ( image_a_a @ SV70 @ SY1898 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1787,plain,
! [SV384: set_set_a,SV71: set_set_a] :
( ( ! [SY1899: set_a > a] :
( ~ ( ord_le318720350_set_a @ SV71 @ SV384 )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SY1899 @ SV71 ) @ ( image_set_a_a @ SY1899 @ SV384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1788,plain,
! [SV385: set_Pr204296108_a_a_e,SV72: set_Pr204296108_a_a_e] :
( ( ! [SY1900: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV72 @ SV385 )
| ~ ( member1258382221_a_a_e @ SY1900 @ SV72 )
| ( member1258382221_a_a_e @ SY1900 @ SV385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1789,plain,
( ( ~ ( member_set_a @ sK1_SX0 @ top_top_set_set_a ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1446]) ).
thf(1790,plain,
! [SV386: set_a,SV73: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV73 @ SV386 )
| ( ord_le318720350_set_a @ ( pow_a @ SV73 ) @ ( pow_a @ SV386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1791,plain,
! [SV387: set_a,SV74: set_a] :
( ( ! [SY1901: set_a > set_a,SY1902: set_a] :
( ~ ( ord_less_eq_set_a @ SV74 @ SV387 )
| ~ ( ord_less_eq_set_a @ ( SY1901 @ SV387 ) @ SY1902 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY1901 @ SX4 ) @ ( SY1901 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY1901 @ SV74 ) @ SY1902 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(1792,plain,
! [SV388: set_a,SV75: set_a] :
( ( ! [SY1905: set_a] :
( ~ ( ord_less_eq_set_a @ SV75 @ SV388 )
| ~ ( ord_less_eq_set_a @ SV388 @ SY1905 )
| ( ord_less_eq_set_a @ SV75 @ SY1905 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1793,plain,
! [SV389: set_set_a,SV76: set_set_a] :
( ( ! [SY1906: set_set_a > $o > set_a,SY1907: $o > set_a] :
( ~ ( ord_le318720350_set_a @ SV76 @ SV389 )
| ( ( SY1906 @ SV389 )
!= SY1907 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_less_eq_o_set_a @ ( SY1906 @ SX4 ) @ ( SY1906 @ SX5 ) ) )
| ( ord_less_eq_o_set_a @ ( SY1906 @ SV76 ) @ SY1907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1794,plain,
! [SV390: set_a,SV77: produc715398134_a_a_e] :
( ( ! [SY1910: a > e] :
( ( SV77
!= ( produc1134456688_a_a_e @ SV390 @ SY1910 ) )
| ( ( produc317566658_a_a_e @ SV77 )
= SY1910 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1795,plain,
! [SV391: a > e,SV78: set_a] :
( ( ! [SY1911: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV78 @ SV391 ) @ SY1911 )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV391 @ SV78 ) @ ( converse_set_a_a_e @ SY1911 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1796,plain,
! [SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e] :
( ( ! [SY1912: $o > set_a,SY1913: $o > set_a] :
( ( SV79
!= ( SV392 @ SY1912 ) )
| ~ ( ord_less_eq_o_set_a @ SY1912 @ SY1913 )
| ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SY1913 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1797,plain,
! [SV393: set_a > set_a,SV80: set_set_a] :
( ( ! [SY1916: set_set_a,SY1917: set_a] :
( ~ ! [SY1918: set_a] :
( ~ ( member_set_a @ SY1918 @ SV80 )
| ( member_set_a @ ( SV393 @ SY1918 ) @ SY1916 ) )
| ~ ( member_set_a @ SY1917 @ SV80 )
| ( member_set_a @ ( SV393 @ SY1917 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1798,plain,
! [SV394: set_a > set_a,SV81: set_a] :
( ( ! [SY1919: set_a,SY1920: set_a] :
( ~ ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SY1919 ) )
| ~ ( ord_less_eq_set_a @ SY1919 @ SY1920 )
| ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SY1920 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1799,plain,
! [SV395: set_set_set_a,SV82: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV82 @ SV395 )
| ~ ( ord_le2103863998_set_a @ SV395 @ SV82 )
| ( SV82 = SV395 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1800,plain,
! [SV396: set_Pr204296108_a_a_e,SV83: set_Pr204296108_a_a_e] :
( ( ! [SY1923: set_Pr204296108_a_a_e] :
( ( SV83 != SV396 )
| ~ ( ord_le700723212_a_a_e @ SV396 @ SY1923 )
| ( ord_le700723212_a_a_e @ SV83 @ SY1923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1801,plain,
! [SV397: produc715398134_a_a_e > set_a,SV84: set_a] :
( ( ! [SY1924: produc715398134_a_a_e] :
( ( SV84
!= ( SV397 @ SY1924 ) )
| ( member_set_a @ SV84 @ ( image_64240033_set_a @ SV397 @ top_to1601855068_a_a_e ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1802,plain,
! [SV398: set_set_set_a,SV85: set_set_set_a] :
( ( ! [SY1925: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV85 @ SV398 )
| ~ ( ord_le2103863998_set_a @ SV398 @ SY1925 )
| ( ord_le2103863998_set_a @ SV85 @ SY1925 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1803,plain,
! [SV399: a > a,SV86: set_a] :
( ( ! [SY1926: set_a] :
( ~ ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SY1926 ) )
| ~ ! [SY1927: set_a] :
( ~ ( ord_less_eq_set_a @ SY1927 @ SY1926 )
| ( SV86
!= ( image_a_a @ SV399 @ SY1927 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1804,plain,
! [SV400: a > e,SV87: set_a] :
( ( ! [SY1928: set_a,SY1929: a > e] :
( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
!= ( produc1134456688_a_a_e @ SY1928 @ SY1929 ) )
| ~ ( ( SV87 != SY1928 )
| ( SV400 != SY1929 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1805,plain,
! [SV401: set_set_a,SV88: set_set_a] :
( ( ~ ! [SY1930: set_a] :
( ~ ( member_set_a @ SY1930 @ SV88 )
| ( member_set_a @ SY1930 @ SV401 ) )
| ( ord_le318720350_set_a @ SV88 @ SV401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1806,plain,
! [SV402: set_a > produc715398134_a_a_e,SV89: set_set_a] :
( ( ! [SY1931: set_Pr204296108_a_a_e,SY1932: set_a] :
( ~ ! [SY1933: set_a] :
( ~ ( member_set_a @ SY1933 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SY1933 ) @ SY1931 ) )
| ~ ( member_set_a @ SY1932 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SY1932 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(1807,plain,
! [SV403: produc715398134_a_a_e > produc715398134_a_a_e,SV90: produc715398134_a_a_e] :
( ( ! [SY1934: produc715398134_a_a_e,SY1935: set_Pr204296108_a_a_e] :
( ( SV90
!= ( SV403 @ SY1934 ) )
| ~ ( member1258382221_a_a_e @ SY1934 @ SY1935 )
| ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SV403 @ SY1935 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(1808,plain,
! [SV404: set_a > ( a > e ) > $o,SV91: produc715398134_a_a_e] :
( ( ! [SY1936: ( a > e ) > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SV91 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ SV404 @ SY1936 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ SV404 @ SY1936 @ SV91 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV404 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(1809,plain,
! [SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ! [SY1937: set_set_set_a] :
( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SY1937 )
= ( ! [SY1938: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY1938 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY1938 ) @ SY1937 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1466]) ).
thf(1810,plain,
! [SV406: set_Pr204296108_a_a_e] :
( ( ( ^ [SY1939: set_Pr204296108_a_a_e] : ( SV406 = SY1939 ) )
= ( ^ [SY1940: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SY1940 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SY1940 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1811,plain,
! [SV407: set_a,SV94: a > a] :
( ( ! [SY1941: set_a] :
( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SY1941 )
= ( ! [SY1942: a] :
( ~ ( member_a @ SY1942 @ SV407 )
| ( member_a @ ( SV94 @ SY1942 ) @ SY1941 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1812,plain,
! [SV408: set_Pr204296108_a_a_e,SV95: set_Pr204296108_a_a_e] :
( ( ! [SY1943: produc715398134_a_a_e > set_a,SY1944: produc715398134_a_a_e > set_a,SY1945: set_set_a > set_a] :
( ( SV95 != SV408 )
| ~ ! [SY1946: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1946 @ SV408 )
| ( ( SY1943 @ SY1946 )
= ( SY1944 @ SY1946 ) ) )
| ( ( SY1945 @ ( image_64240033_set_a @ SY1943 @ SV95 ) )
= ( SY1945 @ ( image_64240033_set_a @ SY1944 @ SV408 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(1813,plain,
! [SV409: set_a,SV96: set_a] :
( ( ! [SY1947: set_a] :
( ( SV96 != SV409 )
| ~ ( ord_less_eq_set_a @ SY1947 @ SV96 )
| ( ord_less_eq_set_a @ SY1947 @ SV409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(1814,plain,
! [SV410: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV410 )
= ( ^ [SY1948: $o > set_a] :
~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SY1948 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SY1948 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1815,plain,
! [SV411: set_set_set_a,SV98: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV98 @ SV411 )
| ~ ( ord_le2103863998_set_a @ SV411 @ SV98 )
| ( SV411 = SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1816,plain,
! [SV99: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV99 ) )
= $true )
| ( ( SV99 = top_top_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1475]) ).
thf(1817,plain,
! [SV412: set_set_set_a,SV100: set_set_set_a] :
( ( ! [SY1949: set_set_set_a] :
( ( SV100 != SV412 )
| ~ ( ord_le2103863998_set_a @ SV412 @ SY1949 )
| ( ord_le2103863998_set_a @ SV100 @ SY1949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1818,plain,
! [SV413: set_a > set_a > $o,SV101: produc715398134_a_a_e] :
( ( ! [SY1950: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ SV101 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ SV413 @ SY1950 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ SV413 @ SY1950 @ SV101 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY1950 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1819,plain,
! [SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ! [SY1951: set_set_a] :
( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SY1951 )
= ( ! [SY1952: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1952 @ SV414 )
| ( member_set_a @ ( SV102 @ SY1952 ) @ SY1951 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1820,plain,
! [SV415: set_a,SV103: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV103 @ SV415 )
| ( ord_le318720350_set_a @ ( finite_Fpow_a @ SV103 ) @ ( finite_Fpow_a @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1821,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ~ ~ ( ( ( produc1040928388_a_a_e @ SV104 )
!= ( produc1040928388_a_a_e @ SV416 ) )
| ( ( produc317566658_a_a_e @ SV104 )
!= ( produc317566658_a_a_e @ SV416 ) ) )
| ( SV104 = SV416 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1822,plain,
! [SV417: set_Pr204296108_a_a_e,SV105: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV105 @ SV417 )
| ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= ( SV417 = SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1823,plain,
! [SV418: set_Pr204296108_a_a_e,SV106: a > e] :
( ( ! [SY1953: ( a > e ) > $o] :
( ~ ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
| ~ ! [SY1954: set_a,SY1955: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1954 @ SY1955 ) @ SV418 )
| ( SY1953 @ SY1955 ) )
| ( SY1953 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1824,plain,
! [SV419: set_a,SV107: set_a] :
( ( ( SV107 != SV419 )
| ( ord_less_eq_set_a @ SV419 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1825,plain,
! [SV420: set_Pr204296108_a_a_e,SV108: set_Pr204296108_a_a_e] :
( ( ! [SY1956: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV108 @ SV420 )
| ~ ( ord_le700723212_a_a_e @ SV420 @ SY1956 )
| ( ord_le700723212_a_a_e @ SV108 @ SY1956 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1826,plain,
! [SV421: set_set_a] :
( ( ( ^ [SY1957: set_set_a] : ( SV421 = SY1957 ) )
= ( ^ [SY1958: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SV421 @ SY1958 )
| ~ ( ord_le318720350_set_a @ SY1958 @ SV421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(1827,plain,
! [SV422: set_a,SV110: a > e] :
( ( ! [SY1959: set_Pr204296108_a_a_e] :
( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SY1959 ) )
= ( ~ ! [SY1960: set_a] :
~ ~ ! [SY1961: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY1961 )
| ( SV422 != SY1960 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1960 @ SY1961 ) @ SY1959 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1828,plain,
! [SV423: set_set_set_a,SV111: set_set_set_a] :
( ( ! [SY1962: set_set_a > a] :
( ~ ( ord_le2103863998_set_a @ SV111 @ SV423 )
| ( ord_less_eq_set_a @ ( image_set_set_a_a @ SY1962 @ SV111 ) @ ( image_set_set_a_a @ SY1962 @ SV423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(1829,plain,
! [SV424: produc715398134_a_a_e > set_a,SV112: set_a] :
( ( ! [SY1963: produc715398134_a_a_e,SY1964: a > e,SY1965: produc715398134_a_a_e > a > e,SY1966: set_Pr204296108_a_a_e] :
( ( SV112
!= ( SV424 @ SY1963 ) )
| ( SY1964
!= ( SY1965 @ SY1963 ) )
| ~ ( member1258382221_a_a_e @ SY1963 @ SY1966 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SY1964 ) @ ( bNF_Gr2072183031_a_a_e @ SY1966 @ SV424 @ SY1965 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(1830,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ! [SY1967: set_set_a] :
( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SY1967 ) )
= ( ~ ! [SY1968: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY1968 @ SY1967 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY1968 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1831,plain,
! [SV426: set_a,SV114: a > e] :
( ( ! [SY1969: set_Pr204296108_a_a_e,SY1970: ( a > e ) > set_a > $o] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SY1969 ) )
| ~ ! [SX4: set_a,SX5: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SX4 @ SX5 ) @ SY1969 )
| ( SY1970 @ SX5 @ SX4 ) )
| ( SY1970 @ SV114 @ SV426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1832,plain,
! [SV427: a > a,SV115: set_a] :
( ( ! [SY1973: set_a] :
( ~ ! [SY1974: a] :
( ~ ( member_a @ SY1974 @ SV115 )
| ( member_a @ ( SV427 @ SY1974 ) @ SY1973 ) )
| ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SY1973 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1833,plain,
! [SV428: set_a > produc715398134_a_a_e,SV116: produc715398134_a_a_e > set_a] :
( ( ~ ! [SY1975: set_a] :
( ( SV116 @ ( SV428 @ SY1975 ) )
= SY1975 )
| ( ( image_64240033_set_a @ SV116 @ top_to1601855068_a_a_e )
= top_top_set_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1834,plain,
! [SV429: set_set_a,SV117: set_set_a] :
( ( ! [SY1976: set_set_a > set_set_a,SY1977: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV117 @ SV429 )
| ( ( SY1976 @ SV429 )
!= SY1977 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SY1976 @ SX4 ) @ ( SY1976 @ SX5 ) ) )
| ( ord_le318720350_set_a @ ( SY1976 @ SV117 ) @ SY1977 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1835,plain,
! [SV430: set_set_set_a,SV118: set_set_set_a] :
( ( ! [SY1980: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV118 @ SV430 )
| ~ ( ord_le2103863998_set_a @ SY1980 @ SV118 )
| ( ord_le2103863998_set_a @ SY1980 @ SV430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1495]) ).
thf(1836,plain,
! [SV431: produc715398134_a_a_e > set_a,SV119: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV119 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_64240033_set_a @ SV431 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_2101504031_set_a @ ( produc387505142_set_a @ SV119 @ SV431 ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1837,plain,
! [SV432: produc715398134_a_a_e] :
( ( ( ^ [SY1981: produc715398134_a_a_e] : ( SV432 = SY1981 ) )
= ( ^ [SY1982: produc715398134_a_a_e] :
~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SY1982 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SY1982 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1838,plain,
! [SV433: set_a > set_a,SV121: set_set_a] :
( ( ! [SY1983: set_set_a] :
( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SY1983 ) )
= ( ~ ! [SY1984: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY1984 @ SY1983 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY1984 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1839,plain,
! [SV434: $o > set_a,SV122: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV122 @ SV434 )
| ~ ( ord_less_eq_o_set_a @ SV434 @ SV122 )
| ( SV434 = SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1840,plain,
! [SV435: set_set_a,SV123: set_a > a] :
( ( ! [SY1985: set_a] :
( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SY1985 )
= ( ! [SY1986: set_a] :
( ~ ( member_set_a @ SY1986 @ SV435 )
| ( member_a @ ( SV123 @ SY1986 ) @ SY1985 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1841,plain,
! [SV436: set_Pr204296108_a_a_e,SV124: produc715398134_a_a_e > set_a] :
( ( ! [SY1987: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV124 @ SV436 ) @ SY1987 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV124 ) @ ( pow_Pr328302361_a_a_e @ SV436 ) ) @ ( pow_set_a @ SY1987 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1842,plain,
! [SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 )
= ( ^ [SY1988: set_a] :
! [SY1989: a] :
( ~ ( member_a @ SY1989 @ SV437 )
| ( member_a @ SY1989 @ SY1988 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1843,plain,
! [SV438: set_a > a > e,SV126: a > e] :
( ( ! [SY1990: set_a,SY1991: set_set_a] :
( ( SV126
!= ( SV438 @ SY1990 ) )
| ~ ( member_set_a @ SY1990 @ SY1991 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SY1991 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1844,plain,
! [SV439: $o > set_a,SV127: $o > set_a] :
( ( ( SV127 != SV439 )
| ( ord_less_eq_o_set_a @ SV127 @ SV439 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1845,plain,
! [SV440: set_a,SV128: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV128 @ SV440 )
| ( member_set_a @ SV128 @ ( pow_a @ SV440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(1846,plain,
! [SV441: set_a,SV129: set_a] :
( ( ! [SY1992: set_a] :
( ~ ( ord_less_eq_set_a @ SV129 @ SV441 )
| ~ ( ord_less_eq_set_a @ SV441 @ SY1992 )
| ( ord_less_eq_set_a @ SV129 @ SY1992 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1847,plain,
! [SV442: set_a,SV130: set_a] :
( ( ! [SY1993: a] :
( ~ ( ( ord_less_eq_set_a @ SV130 @ SV442 )
| ( ord_less_eq_set_a @ SV442 @ SV130 ) )
| ~ ~ ( member_a @ SY1993 @ SV130 )
| ~ ( member_a @ SY1993 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1848,plain,
! [SV443: $o > set_a,SV131: $o > set_a] :
( ( ! [SY1994: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV131 @ SV443 )
| ~ ( ord_less_eq_o_set_a @ SY1994 @ SV131 )
| ( ord_less_eq_o_set_a @ SY1994 @ SV443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1849,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= ( ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1850,plain,
! [SV445: set_a > set_a,SV133: set_set_a] :
( ( ! [SY1997: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SY1997 ) )
| ~ ! [SY1998: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY1998 @ SY1997 )
| ( SV133
!= ( image_set_a_set_a @ SV445 @ SY1998 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1851,plain,
! [SV446: set_Pr204296108_a_a_e,SV134: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV134 @ SV446 )
| ~ ( ord_le700723212_a_a_e @ SV446 @ SV134 )
| ( SV134 = SV446 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1852,plain,
! [SV447: a > e,SV135: set_a] :
( ( ! [SY1999: a > e] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
!= SY1999 )
| ( SV447 = SY1999 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1853,plain,
! [SV448: produc715398134_a_a_e > set_a,SV136: set_a] :
( ( ! [SY2000: produc715398134_a_a_e,SY2001: set_Pr204296108_a_a_e] :
( ( SV136
!= ( SV448 @ SY2000 ) )
| ~ ( member1258382221_a_a_e @ SY2000 @ SY2001 )
| ( member_set_a @ SV136 @ ( image_64240033_set_a @ SV448 @ SY2001 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1854,plain,
! [SV449: set_a,SV137: set_a] :
( ( ~ ~ ( ord_less_eq_set_a @ SV137 @ SV449 )
| ~ ! [SY2002: a] :
~ ~ ( ~ ( member_a @ SY2002 @ SV137 )
| ~ ~ ( member_a @ SY2002 @ SV449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1855,plain,
! [SV450: $o > set_a,SV138: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV138 @ SV450 )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= ( SV450 = SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1856,plain,
! [SV451: set_set_set_a,SV139: set_set_set_a] :
( ( ! [SY2003: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV139 @ SV451 )
| ( SV451 != SY2003 )
| ( ord_le2103863998_set_a @ SV139 @ SY2003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(1857,plain,
! [SV452: $o > set_a,SV140: $o > set_a] :
( ( ! [SY2004: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV140 @ SV452 )
| ~ ( ord_less_eq_o_set_a @ SV452 @ SY2004 )
| ( ord_less_eq_o_set_a @ SV140 @ SY2004 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1858,plain,
! [SV453: set_a] :
( ( ( ^ [SY2005: set_a] : ( SV453 = SY2005 ) )
= ( ^ [SY2006: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV453 @ SY2006 )
| ~ ( ord_less_eq_set_a @ SY2006 @ SV453 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1859,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= ( ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1860,plain,
! [SV455: set_set_a > a,SV143: set_a] :
( ( ! [SY2008: set_set_set_a] :
( ~ ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SY2008 ) )
| ~ ! [SY2009: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2009 @ SY2008 )
| ( SV143
!= ( image_set_set_a_a @ SV455 @ SY2009 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1861,plain,
! [SV456: set_Pr204296108_a_a_e,SV144: set_Pr204296108_a_a_e] :
( ( ~ ! [SY2010: set_a,SY2011: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2010 @ SY2011 ) @ SV144 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2010 @ SY2011 ) @ SV456 ) )
| ( ord_le700723212_a_a_e @ SV144 @ SV456 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1862,plain,
! [SV457: set_a,SV145: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV145 @ SV457 )
| ~ ( ord_less_eq_set_a @ SV457 @ SV145 )
| ( SV145 = SV457 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(1863,plain,
! [SV458: a > e,SV146: set_a] :
( ( ! [SY2012: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV146 @ SV458 ) @ ( converse_a_e_set_a @ SY2012 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV458 @ SV146 ) @ SY2012 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1864,plain,
! [SV459: set_a,SV147: a > e] :
( ( ! [SY2013: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV147 @ SV459 ) @ ( converse_set_a_a_e @ SY2013 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV459 @ SV147 ) @ SY2013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1527]) ).
thf(1865,plain,
! [SV460: a > e,SV148: ( a > e ) > set_a > $o] :
( ( ! [SY2014: set_a] :
( ~ ( SV148 @ SV460 @ SY2014 )
| ( SV148 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SY2014 @ SV460 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SY2014 @ SV460 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1866,plain,
! [SV461: set_set_a,SV149: set_set_a] :
( ( ! [SY2015: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV149 @ SV461 )
| ~ ( ord_le318720350_set_a @ SV461 @ SY2015 )
| ( ord_le318720350_set_a @ SV149 @ SY2015 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1867,plain,
! [SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 )
= ( ^ [SY2016: set_set_a] :
! [SY2017: set_a] :
( ~ ( member_set_a @ SY2017 @ SV462 )
| ( member_set_a @ SY2017 @ SY2016 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1868,plain,
! [SV463: set_a,SV151: set_a] :
( ( ( SV151 != SV463 )
| ( ord_less_eq_set_a @ SV151 @ SV463 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(1869,plain,
! [SV464: set_a,SV152: set_a] :
( ( ! [SY2018: a > a] :
( ~ ( ord_less_eq_set_a @ SV152 @ SV464 )
| ( ord_less_eq_set_a @ ( image_a_a @ SY2018 @ SV152 ) @ ( image_a_a @ SY2018 @ SV464 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1870,plain,
! [SV465: ( a > e ) > a,SV153: a] :
( ( ! [SY2019: a > e,SY2020: set_a_e] :
( ( SV153
!= ( SV465 @ SY2019 ) )
| ~ ( member_a_e @ SY2019 @ SY2020 )
| ( member_a @ SV153 @ ( image_a_e_a @ SV465 @ SY2020 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(1871,plain,
( ( ~ ( member1258382221_a_a_e @ sK2_SX0 @ top_to1601855068_a_a_e ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1535]) ).
thf(1872,plain,
! [SV466: set_a > set_a,SV154: set_set_a] :
( ( ! [SY2021: set_set_a] :
( ~ ! [SY2022: set_a] :
( ~ ( member_set_a @ SY2022 @ SV154 )
| ( member_set_a @ ( SV466 @ SY2022 ) @ SY2021 ) )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SY2021 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1873,plain,
! [SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ! [SY2023: ( a > e ) > a > e,SY2024: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SY2023 ) @ SY2024 ) )
| ~ ! [SY2025: set_a,SY2026: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ SY2025 ) @ ( SY2023 @ SY2026 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2025 @ SY2026 ) @ SY2024 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1874,plain,
! [SV468: set_set_set_a,SV156: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV156 @ SV468 )
| ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= ( SV468 = SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(1875,plain,
! [SV469: set_set_set_a,SV157: set_set_set_a] :
( ( ! [SY2027: set_set_a > set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV157 @ SV469 )
| ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ SY2027 @ SV157 ) @ ( image_1956910981_set_a @ SY2027 @ SV469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1876,plain,
! [SV470: a > e,SV158: set_a] :
( ( ! [SY2028: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV158 @ SV470 ) @ SY2028 )
| ( member_a_e @ SV470 @ ( range_set_a_a_e @ SY2028 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(1877,plain,
! [SV471: set_Pr204296108_a_a_e,SV159: set_Pr204296108_a_a_e] :
( ( ~ ( ( SV159 != SV471 ) )
| ~ ( ord_le700723212_a_a_e @ SV471 @ SV159 )
| ~ ! [SY2029: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2029 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY2029 @ SV471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1878,plain,
! [SV472: a > set_set_a,SV160: set_set_set_a] :
( ( ! [SY2030: set_a] :
( ~ ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SY2030 ) )
| ~ ! [SY2031: set_a] :
( ~ ( ord_less_eq_set_a @ SY2031 @ SY2030 )
| ( SV160
!= ( image_a_set_set_a @ SV472 @ SY2031 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(1879,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= ( ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(1880,plain,
! [SV474: set_set_set_a] :
( ( ( ^ [SY2034: set_set_set_a] : ( SV474 = SY2034 ) )
= ( ^ [SY2035: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SY2035 )
| ~ ( ord_le2103863998_set_a @ SY2035 @ SV474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1881,plain,
! [SV475: set_set_a,SV163: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV163 @ SV475 )
| ~ ( ord_le318720350_set_a @ SV475 @ SV163 )
| ( SV475 = SV163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(1882,plain,
! [SV476: set_Pr204296108_a_a_e,SV164: set_Pr204296108_a_a_e] :
( ( ! [SY2036: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV164 @ SV476 )
| ~ ( ord_le700723212_a_a_e @ SY2036 @ SV164 )
| ( ord_le700723212_a_a_e @ SY2036 @ SV476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(1883,plain,
! [SV477: set_Pr204296108_a_a_e,SV165: set_set_a] :
( ( ! [SY2037: set_a_e,SY2038: set_a > ( a > e ) > $o,SY2039: set_a > ( a > e ) > $o] :
( ( SV165
!= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
| ( SY2037
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
| ~ ! [SY1419: set_a] :
( ~ ( member_set_a @ SY1419 @ SV165 )
| ! [SX6: a > e] :
( ~ ( member_a_e @ SX6 @ SY2037 )
| ~ ( SY2038 @ SY1419 @ SX6 )
| ( SY2039 @ SY1419 @ SX6 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY2038 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY2039 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(1884,plain,
! [SV478: set_set_a,SV166: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV166 @ SV478 )
| ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= ( SV478 = SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(1885,plain,
! [SV479: set_Pr204296108_a_a_e,SV167: set_Pr204296108_a_a_e] :
( ( ( SV167 != SV479 )
| ( ord_le700723212_a_a_e @ SV167 @ SV479 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(1886,plain,
! [SV480: set_a,SV168: set_a] :
( ( ! [SY2042: a > set_set_a] :
( ~ ( ord_less_eq_set_a @ SV168 @ SV480 )
| ( ord_le2103863998_set_a @ ( image_a_set_set_a @ SY2042 @ SV168 ) @ ( image_a_set_set_a @ SY2042 @ SV480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1887,plain,
! [SV481: set_a,SV169: set_a] :
( ( ! [SY2043: set_a > set_set_a,SY2044: set_set_a] :
( ~ ( ord_less_eq_set_a @ SV169 @ SV481 )
| ( ( SY2043 @ SV481 )
!= SY2044 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_le318720350_set_a @ ( SY2043 @ SX4 ) @ ( SY2043 @ SX5 ) ) )
| ( ord_le318720350_set_a @ ( SY2043 @ SV169 ) @ SY2044 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(1888,plain,
! [SV482: set_a,SV170: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV170 @ SV482 )
| ~ ( ord_less_eq_set_a @ SV482 @ SV170 )
| ( SV482 = SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1889,plain,
! [SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 )
= ( ^ [SY2047: set_set_a] :
! [SY2048: set_a] :
( ~ ( member_set_a @ SY2048 @ SV483 )
| ( member_set_a @ SY2048 @ SY2047 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1890,plain,
! [SV484: set_Pr204296108_a_a_e,SV172: produc715398134_a_a_e] :
( ( ! [SY2049: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SV172 @ SV484 )
| ( member_set_a @ ( SY2049 @ SV172 ) @ ( image_64240033_set_a @ SY2049 @ SV484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1891,plain,
! [SV485: produc715398134_a_a_e > set_a,SV173: set_Pr204296108_a_a_e] :
( ( ! [SY2050: set_set_a] :
( ~ ! [SY2051: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2051 @ SV173 )
| ( member_set_a @ ( SV485 @ SY2051 ) @ SY2050 ) )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SY2050 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1892,plain,
! [SV486: set_set_a,SV174: set_set_a] :
( ( ! [SY2052: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV174 @ SV486 )
| ( SV486 != SY2052 )
| ( ord_le318720350_set_a @ SV174 @ SY2052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1893,plain,
! [SV487: set_a > a,SV175: a] :
( ( ! [SY2053: set_a,SY2054: set_set_a] :
( ( SV175
!= ( SV487 @ SY2053 ) )
| ~ ( member_set_a @ SY2053 @ SY2054 )
| ( member_a @ SV175 @ ( image_set_a_a @ SV487 @ SY2054 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1894,plain,
! [SV488: set_set_a,SV176: set_set_a] :
( ( ~ ~ ( ord_le318720350_set_a @ SV176 @ SV488 )
| ~ ! [SY2055: set_a] :
~ ~ ( ~ ( member_set_a @ SY2055 @ SV176 )
| ~ ~ ( member_set_a @ SY2055 @ SV488 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1895,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= ( ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1896,plain,
! [SV490: set_a,SV178: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV178 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY2057: produc715398134_a_a_e] :
( SV490
!= ( SV178 @ SY2057 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(1897,plain,
! [SV491: set_a,SV179: set_a] :
( ( ! [SY2058: set_a] :
( ( SV179 != SV491 )
| ~ ( ord_less_eq_set_a @ SV491 @ SY2058 )
| ( ord_less_eq_set_a @ SV179 @ SY2058 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(1898,plain,
! [SV492: set_a,SV180: set_a] :
( ( ! [SY2059: set_a] :
( ~ ( ord_less_eq_set_a @ SV180 @ SV492 )
| ~ ( ord_less_eq_set_a @ SY2059 @ SV180 )
| ( ord_less_eq_set_a @ SY2059 @ SV492 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(1899,plain,
! [SV493: set_set_a,SV181: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV181 @ SV493 )
| ~ ( ord_le318720350_set_a @ SV493 @ SV181 )
| ( SV181 = SV493 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(1900,plain,
! [SV494: set_a,SV182: produc715398134_a_a_e > $o] :
( ( ! [SY2060: a > e] :
( ~ ( produc952037978_a_e_o @ SV182 @ SV494 @ SY2060 )
| ( SV182 @ ( produc1134456688_a_a_e @ SV494 @ SY2060 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1901,plain,
! [SV495: set_a,SV183: set_a] :
( ( ~ ! [SY2061: a] :
( ~ ( member_a @ SY2061 @ SV183 )
| ( member_a @ SY2061 @ SV495 ) )
| ( ord_less_eq_set_a @ SV183 @ SV495 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1902,plain,
! [SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e] :
( ( ! [SY2062: set_Pr204296108_a_a_e,SY2063: produc715398134_a_a_e] :
( ~ ! [SY2064: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2064 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SY2064 ) @ SY2062 ) )
| ~ ( member1258382221_a_a_e @ SY2063 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SY2063 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(1903,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ! [SY2065: set_Pr204296108_a_a_e] :
( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SY2065 ) )
= ( ~ ! [SY2066: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2066 @ SY2065 )
| ( SV185
!= ( SV497 @ SY2066 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(1904,plain,
! [SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a] :
( ( ! [SY2067: $o > set_a,SY2068: $o > set_a] :
( ( SV186
!= ( SV498 @ SY2067 ) )
| ~ ( ord_less_eq_o_set_a @ SY2067 @ SY2068 )
| ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SY2068 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(1905,plain,
! [SV499: set_Pr204296108_a_a_e,SV187: set_Pr204296108_a_a_e] :
( ( ! [SY2071: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV187 @ SV499 )
| ( SV499 != SY2071 )
| ( ord_le700723212_a_a_e @ SV187 @ SY2071 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(1906,plain,
! [SV500: a > e,SV188: set_a] :
( ( ! [SY2072: set_Pr204296108_a_a_e,SY2073: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SY2072 )
| ( SY2073 != SV500 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SY2073 ) @ SY2072 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(1907,plain,
! [SV501: set_Pr204296108_a_a_e,SV189: set_Pr204296108_a_a_e] :
( ( ! [SY2074: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV189 @ SV501 )
| ~ ( ord_le700723212_a_a_e @ SV501 @ SY2074 )
| ( ord_le700723212_a_a_e @ SV189 @ SY2074 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1573]) ).
thf(1908,plain,
! [SV502: set_Pr204296108_a_a_e,SV190: set_Pr204296108_a_a_e] :
( ( ~ ~ ( ord_le700723212_a_a_e @ SV190 @ SV502 )
| ~ ! [SY2075: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2075 @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ SY2075 @ SV502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1909,plain,
! [SV503: set_set_a,SV191: set_a] :
( ( ! [SY2076: set_a > set_a] :
( ~ ( member_set_a @ SV191 @ SV503 )
| ( member_set_a @ ( SY2076 @ SV191 ) @ ( image_set_a_set_a @ SY2076 @ SV503 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(1910,plain,
! [SV504: set_Pr204296108_a_a_e,SV192: set_Pr204296108_a_a_e] :
( ( ! [SY2077: produc715398134_a_a_e > set_a,SY2078: produc715398134_a_a_e > set_a] :
( ( SV192 != SV504 )
| ~ ! [SY2079: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2079 @ SV504 )
| ( ( SY2077 @ SY2079 )
= ( SY2078 @ SY2079 ) ) )
| ( ( image_64240033_set_a @ SY2077 @ SV192 )
= ( image_64240033_set_a @ SY2078 @ SV504 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(1911,plain,
! [SV505: $o > set_a,SV193: $o > set_a] :
( ( ! [SY2080: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SV193 @ SV505 )
| ( SV505 != SY2080 )
| ( ord_less_eq_o_set_a @ SV193 @ SY2080 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1577]) ).
thf(1912,plain,
! [SV506: set_Pr204296108_a_a_e,SV194: set_a] :
( ( ~ ( member_set_a @ SV194 @ ( domain_set_a_a_e @ SV506 ) )
| ~ ! [SY2081: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV194 @ SY2081 ) @ SV506 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1578]) ).
thf(1913,plain,
! [SV507: set_Pr204296108_a_a_e,SV195: produc715398134_a_a_e] :
( ( ! [SY2082: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV195 @ SV507 )
| ( member1258382221_a_a_e @ ( SY2082 @ SV195 ) @ ( image_625620211_a_a_e @ SY2082 @ SV507 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(1914,plain,
! [SV508: set_set_a,SV196: set_set_a] :
( ( ! [SY2083: set_a] :
( ~ ( ord_le318720350_set_a @ SV196 @ SV508 )
| ~ ( member_set_a @ SY2083 @ SV196 )
| ( member_set_a @ SY2083 @ SV508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(1915,plain,
! [SV509: a > set_a,SV197: set_set_a] :
( ( ! [SY2084: set_a] :
( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SY2084 ) )
= ( ~ ! [SY2085: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2085 @ SY2084 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2085 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1916,plain,
! [SV510: produc715398134_a_a_e,SV198: produc715398134_a_a_e > $o] :
( ( ~ ! [SY1497: set_a,SY1498: a > e] : ( SV198 @ ( produc1134456688_a_a_e @ SY1497 @ SY1498 ) )
| ( SV198 @ SV510 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(1917,plain,
! [SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ! [SY2088: set_set_a > $o] :
( ( ! [SY2089: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2089 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SY2088 @ SY2089 ) ) )
= ( ! [SY2090: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2090 @ SV511 )
| ( SY2088 @ ( image_64240033_set_a @ SV199 @ SY2090 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1918,plain,
! [SV512: set_set_set_a,SV200: set_set_set_a] :
( ( ! [SY2091: set_set_a > set_a] :
( ~ ( ord_le2103863998_set_a @ SV200 @ SV512 )
| ( ord_le318720350_set_a @ ( image_402591269_set_a @ SY2091 @ SV200 ) @ ( image_402591269_set_a @ SY2091 @ SV512 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(1919,plain,
! [SV513: set_a,SV201: set_a] :
( ( ! [SY2092: set_a] :
( ~ ( ord_less_eq_set_a @ SV201 @ SV513 )
| ~ ( ord_less_eq_set_a @ SV513 @ SY2092 )
| ( ord_less_eq_set_a @ SV201 @ SY2092 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(1920,plain,
! [SV514: set_a,SV202: set_a] :
( ( ! [SY2093: a] :
( ~ ( ord_less_eq_set_a @ SV202 @ SV514 )
| ~ ( member_a @ SY2093 @ SV202 )
| ( member_a @ SY2093 @ SV514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(1921,plain,
! [SV515: set_Pr204296108_a_a_e,SV203: produc715398134_a_a_e > set_a] :
( ( ! [SY2094: set_a > $o] :
( ~ ! [SY2095: set_a] :
( ~ ( member_set_a @ SY2095 @ ( image_64240033_set_a @ SV203 @ SV515 ) )
| ( SY2094 @ SY2095 ) )
| ! [SY2096: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2096 @ SV515 )
| ( SY2094 @ ( SV203 @ SY2096 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(1922,plain,
! [SV516: set_set_a,SV204: set_set_a] :
( ( ! [SY2097: set_a] :
( ~ ( ( ord_le318720350_set_a @ SV204 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
| ~ ( member_set_a @ SY2097 @ SV204 )
| ~ ~ ( member_set_a @ SY2097 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(1923,plain,
! [SV517: produc715398134_a_a_e,SV205: produc715398134_a_a_e > $o] :
( ( ~ ! [SY1516: set_a,SY1517: a > e] : ( SV205 @ ( produc1134456688_a_a_e @ SY1516 @ SY1517 ) )
| ( SV205 @ SV517 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(1924,plain,
! [SV518: set_set_set_a,SV206: set_set_set_a] :
( ( ! [SY2100: set_set_set_a > set_a,SY2101: set_a] :
( ~ ( ord_le2103863998_set_a @ SV206 @ SV518 )
| ( ( SY2100 @ SV518 )
!= SY2101 )
| ~ ! [SX4: set_set_set_a,SX5: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY2100 @ SX4 ) @ ( SY2100 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY2100 @ SV206 ) @ SY2101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(1925,plain,
! [SV519: a > set_a,SV207: set_a] :
( ( ! [SY2104: a,SY2105: set_a] :
( ( SV207
!= ( SV519 @ SY2104 ) )
| ~ ( member_a @ SY2104 @ SY2105 )
| ( member_set_a @ SV207 @ ( image_a_set_a @ SV519 @ SY2105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(1926,plain,
! [SV520: set_a,SV208: set_a] :
( ( ~ ( member_set_a @ SV208 @ ( pow_a @ SV520 ) )
| ( ord_less_eq_set_a @ SV208 @ SV520 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(1927,plain,
! [SV521: set_a > a,SV209: set_a] :
( ( ! [SY2106: set_set_a] :
( ~ ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SY2106 ) )
| ~ ! [SY2107: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2107 @ SY2106 )
| ( SV209
!= ( image_set_a_a @ SV521 @ SY2107 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(1928,plain,
! [SV522: set_Pr204296108_a_a_e,SV210: set_Pr204296108_a_a_e] :
( ( ! [SY2108: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV210 @ SV522 )
| ~ ( member1258382221_a_a_e @ SY2108 @ SV210 )
| ( member1258382221_a_a_e @ SY2108 @ SV522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(1929,plain,
! [SV523: set_a,SV211: set_a] :
( ( ~ ( ( SV211 != SV523 ) )
| ~ ( ord_less_eq_set_a @ SV523 @ SV211 )
| ~ ! [SY2109: a] :
~ ~ ( ~ ( member_a @ SY2109 @ SV211 )
| ~ ~ ( member_a @ SY2109 @ SV523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(1930,plain,
! [SV524: set_set_a,SV212: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV212 @ SV524 )
| ~ ( ord_le318720350_set_a @ SV524 @ SV212 )
| ( SV212 = SV524 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(1931,plain,
! [SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 )
= ( ^ [SY2110: set_Pr204296108_a_a_e] :
! [SY2111: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2111 @ SV525 )
| ( member1258382221_a_a_e @ SY2111 @ SY2110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(1932,plain,
! [SV526: set_Pr204296108_a_a_e] :
( ( ( ^ [SY2112: set_Pr204296108_a_a_e] : ( SV526 = SY2112 ) )
= ( ^ [SY2113: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SY2113 )
| ~ ( ord_le700723212_a_a_e @ SY2113 @ SV526 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(1933,plain,
! [SV527: set_set_set_a,SV215: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV215 @ SV527 )
| ~ ( ord_le2103863998_set_a @ SV527 @ SV215 )
| ( SV215 = SV527 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(1934,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= ( ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(1935,plain,
! [SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e] :
( ( ! [SY2115: produc715398134_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SV217 @ SV529 )
| ~ ~ ( member1258382221_a_a_e @ SY2115 @ SV217 )
| ~ ( member1258382221_a_a_e @ SY2115 @ SV529 )
| ( SV217 != SV529 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(1936,plain,
! [SV530: a > e,SV218: set_a] :
( ( ! [SY2116: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV218 @ SV530 ) @ SY2116 )
| ( member_set_a @ SV218 @ ( domain_set_a_a_e @ SY2116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(1937,plain,
! [SV531: set_set_a,SV219: set_set_a] :
( ( ! [SY2117: set_a] :
( ~ ( ord_le318720350_set_a @ SV219 @ SV531 )
| ~ ~ ( member_set_a @ SY2117 @ SV219 )
| ~ ( member_set_a @ SY2117 @ SV531 )
| ( SV219 != SV531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1938,plain,
! [SV532: set_a,SV220: produc715398134_a_a_e > $o] :
( ( ! [SY2118: a > e] :
( ~ ( produc952037978_a_e_o @ SV220 @ SV532 @ SY2118 )
| ( SV220 @ ( produc1134456688_a_a_e @ SV532 @ SY2118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(1939,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ~ ( SV221 @ SV533 )
| ~ ! [SY2119: set_a] :
( ~ ( SV221 @ SY2119 )
| ( ord_less_eq_set_a @ SY2119 @ SV533 ) )
| ( ( order_Greatest_set_a @ SV221 )
= SV533 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(1940,plain,
! [SV534: a > e,SV222: set_a] :
( ( ! [SY2120: set_Pr305929312_set_a] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV222 @ SV534 ) @ ( converse_a_e_set_a @ SY2120 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV534 @ SV222 ) @ SY2120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1941,plain,
! [SV535: set_Pr204296108_a_a_e,SV223: produc715398134_a_a_e] :
( ( ! [SY2121: produc715398134_a_a_e,SY2122: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV223 @ SV535 )
| ( SY2121
!= ( SY2122 @ SV223 ) )
| ( member1258382221_a_a_e @ SY2121 @ ( image_625620211_a_a_e @ SY2122 @ SV535 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(1942,plain,
! [SV536: set_set_a > a,SV224: set_a] :
( ( ! [SY2123: set_set_set_a] :
( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SY2123 ) )
= ( ~ ! [SY2124: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2124 @ SY2123 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2124 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(1943,plain,
! [SV537: set_a] :
( ( ( ^ [SY2125: set_a] : ( SV537 = SY2125 ) )
= ( ^ [SY2126: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SY2126 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SY2126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(1944,plain,
! [SV538: set_a,SV226: set_a] :
( ( ( SV226 != SV538 )
| ( ord_less_eq_set_a @ SV226 @ SV538 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(1945,plain,
! [SV539: set_Pr204296108_a_a_e,SV227: set_Pr204296108_a_a_e] :
( ( ~ ~ ( ord_le700723212_a_a_e @ SV227 @ SV539 )
| ~ ! [SY2127: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2127 @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ SY2127 @ SV539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(1946,plain,
! [SV540: set_Pr204296108_a_a_e] :
( ( ( ^ [SY2128: set_Pr204296108_a_a_e] : ( SV540 = SY2128 ) )
= ( ^ [SY2129: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SY2129 )
| ~ ( ord_le700723212_a_a_e @ SY2129 @ SV540 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(1947,plain,
! [SV541: set_a,SV229: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV229 @ SV541 )
| ~ ( ord_less_eq_set_a @ SV541 @ SV229 )
| ( SV229 = SV541 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(1948,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a] :
( ( ! [SY2130: $o > set_a,SY2131: $o > set_a] :
( ( SV230
!= ( SV542 @ SY2130 ) )
| ~ ( ord_less_eq_o_set_a @ SY2130 @ SY2131 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SY2131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(1949,plain,
! [SV543: produc715398134_a_a_e > set_a,SV231: set_a] :
( ( ! [SY2134: set_Pr204296108_a_a_e] :
( ~ ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SY2134 ) )
| ~ ! [SY2135: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2135 @ SY2134 )
| ( SV231
!= ( SV543 @ SY2135 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(1950,plain,
! [SV544: set_Pr204296108_a_a_e,SV232: produc715398134_a_a_e] :
( ( ! [SY2136: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SV232 @ SV544 )
| ( member_set_a @ ( SY2136 @ SV232 ) @ ( image_64240033_set_a @ SY2136 @ SV544 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(1951,plain,
! [SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 )
= ( ^ [SY2137: set_a] :
! [SY2138: a] :
( ~ ( member_a @ SY2138 @ SV545 )
| ( member_a @ SY2138 @ SY2137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(1952,plain,
! [SV546: a > a,SV234: a] :
( ( ! [SY2139: a,SY2140: set_a] :
( ( SV234
!= ( SV546 @ SY2139 ) )
| ~ ( member_a @ SY2139 @ SY2140 )
| ( member_a @ SV234 @ ( image_a_a @ SV546 @ SY2140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(1953,plain,
! [SV547: set_a] :
( ( ( ^ [SY2141: set_a] : ( SV547 = SY2141 ) )
= ( ^ [SY2142: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV547 @ SY2142 )
| ~ ( ord_less_eq_set_a @ SY2142 @ SV547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(1954,plain,
! [SV236: produc715398134_a_a_e] :
( ( ! [SY1585: set_a] :
~ ~ ! [SY1586: a > e] :
( SV236
!= ( produc1134456688_a_a_e @ SY1585 @ SY1586 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1955,plain,
! [SV548: set_a_e,SV237: set_a_e] :
( ( ~ ! [SY2143: a > e] :
( ~ ( member_a_e @ SY2143 @ SV237 )
| ( member_a_e @ SY2143 @ SV548 ) )
| ( ord_less_eq_set_a_e @ SV237 @ SV548 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1956,plain,
! [SV549: set_set_a] :
( ( ( ^ [SY2144: set_set_a] : ( SV549 = SY2144 ) )
= ( ^ [SY2145: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SY2145 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SY2145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(1957,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a3 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1630]) ).
thf(1958,plain,
! [SV550: set_Pr305929312_set_a,SV239: set_Pr305929312_set_a] :
( ( ~ ! [SY2146: produc1965228714_set_a] :
( ~ ( member360729153_set_a @ SY2146 @ SV239 )
| ( member360729153_set_a @ SY2146 @ SV550 ) )
| ( ord_le802356416_set_a @ SV239 @ SV550 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(1959,plain,
! [SV551: set_Pr204296108_a_a_e,SV240: produc715398134_a_a_e > set_a] :
( ( ! [SY2147: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV240 @ SV551 ) @ SY2147 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV240 ) @ ( finite33065488_a_a_e @ SV551 ) ) @ ( finite_Fpow_set_a @ SY2147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(1960,plain,
! [SV552: set_set_a,SV241: set_a] :
( ( ! [SY2148: set_a,SY2149: set_a > set_a] :
( ~ ( member_set_a @ SV241 @ SV552 )
| ( SY2148
!= ( SY2149 @ SV241 ) )
| ( member_set_a @ SY2148 @ ( image_set_a_set_a @ SY2149 @ SV552 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(1961,plain,
! [SV553: set_set_set_a,SV242: set_set_set_a] :
( ( ~ ! [SY2150: set_set_a] :
( ~ ( member_set_set_a @ SY2150 @ SV242 )
| ( member_set_set_a @ SY2150 @ SV553 ) )
| ( ord_le2103863998_set_a @ SV242 @ SV553 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(1962,plain,
! [SV554: set_a,SV243: a > e] :
( ( ! [SY2151: set_Pr305929312_set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV243 @ SV554 ) @ SY2151 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV554 @ SV243 ) @ ( converse_a_e_set_a @ SY2151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(1963,plain,
! [SV555: a > e,SV244: set_a] :
( ( ! [SY2152: set_a,SY2153: a > e] :
( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SY2152 @ SY2153 ) )
= ( ~ ( ( SV244 != SY2152 )
| ( SV555 != SY2153 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(1964,plain,
! [SV556: set_a,SV245: set_a] :
( ( ! [SY2154: set_a] :
( ~ ( ord_less_eq_set_a @ SV245 @ SV556 )
| ( SV556 != SY2154 )
| ( ord_less_eq_set_a @ SV245 @ SY2154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(1965,plain,
! [SV557: set_a,SV246: set_a] :
( ( ! [SY2155: a > set_a] :
( ~ ( ord_less_eq_set_a @ SV246 @ SV557 )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SY2155 @ SV246 ) @ ( image_a_set_a @ SY2155 @ SV557 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(1966,plain,
! [SV558: set_Pr204296108_a_a_e,SV247: produc715398134_a_a_e] :
( ( ! [SY2156: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV247 @ SV558 )
| ( member1258382221_a_a_e @ ( SY2156 @ SV247 ) @ ( image_625620211_a_a_e @ SY2156 @ SV558 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1639]) ).
thf(1967,plain,
! [SV248: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV248 @ c ) )
= $true )
| ( ( ! [SY1611: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1611 @ c )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV248 ) @ ( produc1040928388_a_a_e @ SY1611 ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SY1611 ) @ ( produc1040928388_a_a_e @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1968,plain,
! [SV559: set_a,SV249: set_a] :
( ( ! [SY2157: set_a > set_a,SY2158: set_a] :
( ~ ( ord_less_eq_set_a @ SV249 @ SV559 )
| ( ( SY2157 @ SV559 )
!= SY2158 )
| ~ ! [SX4: set_a,SX5: set_a] :
( ~ ( ord_less_eq_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY2157 @ SX4 ) @ ( SY2157 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY2157 @ SV249 ) @ SY2158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(1969,plain,
! [SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e] :
( ( ! [SY2161: produc715398134_a_a_e] :
( ~ ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
| ~ ( member1258382221_a_a_e @ SY2161 @ SV250 )
| ~ ~ ( member1258382221_a_a_e @ SY2161 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(1970,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ! [SY2162: set_Pr204296108_a_a_e] :
( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SY2162 ) )
= ( ~ ! [SY2163: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2163 @ SY2162 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2163 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(1971,plain,
! [SV562: set_set_a,SV252: set_set_a] :
( ( ! [SY2164: set_set_a > set_a,SY2165: set_a] :
( ~ ( ord_le318720350_set_a @ SV252 @ SV562 )
| ( ( SY2164 @ SV562 )
!= SY2165 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY2164 @ SX4 ) @ ( SY2164 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY2164 @ SV252 ) @ SY2165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1972,plain,
! [SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a] :
( ( ! [SY2168: $o > set_a,SY2169: $o > set_a] :
( ( SV253
!= ( SV563 @ SY2168 ) )
| ~ ( ord_less_eq_o_set_a @ SY2168 @ SY2169 )
| ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SY2169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(1973,plain,
! [SV564: set_set_set_a,SV254: set_set_set_a] :
( ( ( SV254 != SV564 )
| ( ord_le2103863998_set_a @ SV254 @ SV564 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(1974,plain,
! [SV565: set_a,SV255: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV255 @ SV565 )
| ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= ( SV565 = SV255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(1975,plain,
! [SV256: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY1634: produc715398134_a_a_e] : ( member1258382221_a_a_e @ SY1634 @ SV256 ) )
= $true )
| ( ( top_to1601855068_a_a_e = SV256 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1648]) ).
thf(1976,plain,
! [SV566: set_a,SV257: set_a > ( a > e ) > $o] :
( ( ! [SY2172: a > e,SY2173: produc715398134_a_a_e] :
( ~ ( SV257 @ SV566 @ SY2172 )
| ( SY2173
!= ( produc1134456688_a_a_e @ SV566 @ SY2172 ) )
| ( SV257 @ ( produc1040928388_a_a_e @ SY2173 ) @ ( produc317566658_a_a_e @ SY2173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(1977,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= ( ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(1978,plain,
! [SV568: set_set_a,SV259: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV259 @ SV568 )
| ~ ( ord_le318720350_set_a @ SV568 @ SV259 )
| ( SV259 = SV568 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(1979,plain,
! [SV569: set_a,SV260: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV260 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY2175: produc715398134_a_a_e] :
( SV569
!= ( SV260 @ SY2175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(1980,plain,
! [SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e] :
( ( ! [SY2176: produc715398134_a_a_e] :
( ~ ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
| ( ord_le700723212_a_a_e @ SV570 @ SV261 ) )
| ~ ~ ( member1258382221_a_a_e @ SY2176 @ SV261 )
| ~ ( member1258382221_a_a_e @ SY2176 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1653]) ).
thf(1981,plain,
! [SV571: set_set_a,SV262: set_a] :
( ( ! [SY2177: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SV262 @ SV571 )
| ( member1258382221_a_a_e @ ( SY2177 @ SV262 ) @ ( image_210900495_a_a_e @ SY2177 @ SV571 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(1982,plain,
! [SV572: set_a > a,SV263: set_a] :
( ( ! [SY2178: set_set_a] :
( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SY2178 ) )
= ( ~ ! [SY2179: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2179 @ SY2178 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2179 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(1983,plain,
! [SV573: set_a > set_a,SV264: set_a] :
( ( ! [SY2180: set_a,SY2181: set_a] :
( ( SV264
!= ( SV573 @ SY2180 ) )
| ~ ( ord_less_eq_set_a @ SY2180 @ SY2181 )
| ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SY2181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(1984,plain,
! [SV574: set_a,SV265: set_a] :
( ( ! [SY2184: a] :
( ~ ( ord_less_eq_set_a @ SV265 @ SV574 )
| ~ ~ ( member_a @ SY2184 @ SV265 )
| ~ ( member_a @ SY2184 @ SV574 )
| ( SV265 != SV574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(1985,plain,
! [SV575: set_set_a,SV266: set_set_a] :
( ( ~ ~ ( ord_le318720350_set_a @ SV266 @ SV575 )
| ~ ! [SY2185: set_a] :
~ ~ ( ~ ( member_set_a @ SY2185 @ SV266 )
| ~ ~ ( member_set_a @ SY2185 @ SV575 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(1986,plain,
! [SV576: a > e,SV267: set_a] :
( ( ! [SY2186: set_a,SY2187: a > e] :
( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SY2186 @ SY2187 ) )
= ( ~ ( ( SV267 != SY2186 )
| ( SV576 != SY2187 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(1987,plain,
! [SV577: a > a > e,SV268: a > e] :
( ( ! [SY2188: a,SY2189: set_a] :
( ( SV268
!= ( SV577 @ SY2188 ) )
| ~ ( member_a @ SY2188 @ SY2189 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SY2189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(1988,plain,
! [SV578: set_a > ( a > e ) > set_set_a,SV269: set_a] :
( ( ! [SY2190: produc715398134_a_a_e] :
( ~ ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SY2190 ) )
| ~ ! [SY2191: set_a,SY2192: a > e] :
( ( SY2190
!= ( produc1134456688_a_a_e @ SY2191 @ SY2192 ) )
| ~ ( member_set_a @ SV269 @ ( SV578 @ SY2191 @ SY2192 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(1989,plain,
! [SV579: set_set_a > set_set_a,SV270: set_set_set_a] :
( ( ! [SY2193: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SY2193 ) )
| ~ ! [SY2194: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2194 @ SY2193 )
| ( SV270
!= ( image_1956910981_set_a @ SV579 @ SY2194 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(1990,plain,
! [SV580: set_a > set_a,SV271: set_a] :
( ( ! [SY2195: set_a,SY2196: a > e,SY2197: set_a > a > e,SY2198: set_set_a] :
( ( SV271
!= ( SV580 @ SY2195 ) )
| ( SY2196
!= ( SY2197 @ SY2195 ) )
| ~ ( member_set_a @ SY2195 @ SY2198 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SY2196 ) @ ( bNF_Gr1872575811_a_a_e @ SY2198 @ SV580 @ SY2197 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(1991,plain,
! [SV581: produc715398134_a_a_e,SV272: ( a > e ) > set_a > $o] :
( ( ~ ( SV272 @ ( produc317566658_a_a_e @ SV581 ) @ ( produc1040928388_a_a_e @ SV581 ) )
| ~ ! [SY1678: set_a,SY1679: a > e] :
~ ( SV272 @ SY1679 @ SY1678 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(1992,plain,
! [SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV273: produc715398134_a_a_e] :
( ( ! [SY2201: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SY2201 ) )
| ~ ! [SY2202: set_a,SY2203: a > e] :
( ( SY2201
!= ( produc1134456688_a_a_e @ SY2202 @ SY2203 ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ SY2202 @ SY2203 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(1993,plain,
! [SV583: set_Pr204296108_a_a_e,SV274: a > e] :
( ( ~ ( member_a_e @ SV274 @ ( range_set_a_a_e @ SV583 ) )
| ~ ! [SY2204: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2204 @ SV274 ) @ SV583 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1666]) ).
thf(1994,plain,
! [SV584: $o > set_a,SV275: $o > set_a] :
( ( ! [SY2205: ( $o > set_a ) > set_a,SY2206: set_a] :
( ~ ( ord_less_eq_o_set_a @ SV275 @ SV584 )
| ( ( SY2205 @ SV584 )
!= SY2206 )
| ~ ! [SX4: $o > set_a,SX5: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SX4 @ SX5 )
| ( ord_less_eq_set_a @ ( SY2205 @ SX4 ) @ ( SY2205 @ SX5 ) ) )
| ( ord_less_eq_set_a @ ( SY2205 @ SV275 ) @ SY2206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(1995,plain,
! [SV585: set_a,SV276: set_a] :
( ( ~ ~ ( ord_less_eq_set_a @ SV276 @ SV585 )
| ~ ! [SY2209: a] :
~ ~ ( ~ ( member_a @ SY2209 @ SV276 )
| ~ ~ ( member_a @ SY2209 @ SV585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(1996,plain,
! [SV586: set_a,SV277: set_a] :
( ( ! [SY2210: a] :
( ~ ( ( ord_less_eq_set_a @ SV277 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
| ~ ( member_a @ SY2210 @ SV277 )
| ~ ~ ( member_a @ SY2210 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(1997,plain,
! [SV587: set_set_a,SV278: set_set_a] :
( ( ( SV278 != SV587 )
| ( ord_le318720350_set_a @ SV278 @ SV587 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(1998,plain,
! [SV588: set_set_a,SV279: set_a] :
( ( ! [SY2211: produc715398134_a_a_e,SY2212: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SV279 @ SV588 )
| ( SY2211
!= ( SY2212 @ SV279 ) )
| ( member1258382221_a_a_e @ SY2211 @ ( image_210900495_a_a_e @ SY2212 @ SV588 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(1999,plain,
! [SV280: produc1965228714_set_a] :
( ( ! [SY1699: a > e] :
~ ~ ! [SY1700: set_a] :
( SV280
!= ( produc479206876_set_a @ SY1699 @ SY1700 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(2000,plain,
! [SV589: $o > set_a] :
( ( ( ^ [SY2213: $o > set_a] : ( SV589 = SY2213 ) )
= ( ^ [SY2214: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SY2214 )
| ~ ( ord_less_eq_o_set_a @ SY2214 @ SV589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1673]) ).
thf(2001,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
| ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
| ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1675]) ).
thf(2002,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= ( ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1675]) ).
thf(2003,plain,
! [SV590: set_Pr204296108_a_a_e,SV283: set_Pr204296108_a_a_e] :
( ( ! [SY2215: produc715398134_a_a_e > set_a,SY2216: produc715398134_a_a_e > set_a,SY2217: set_set_a > set_a] :
( ( SV283 != SV590 )
| ~ ! [SY2218: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2218 @ SV590 )
| ( ( SY2215 @ SY2218 )
= ( SY2216 @ SY2218 ) ) )
| ( ( SY2217 @ ( image_64240033_set_a @ SY2215 @ SV283 ) )
= ( SY2217 @ ( image_64240033_set_a @ SY2216 @ SV590 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(2004,plain,
! [SV591: set_a > produc715398134_a_a_e,SV284: set_set_a] :
( ( ! [SY2219: set_Pr204296108_a_a_e] :
( ~ ! [SY2220: set_a] :
( ~ ( member_set_a @ SY2220 @ SV284 )
| ( member1258382221_a_a_e @ ( SV591 @ SY2220 ) @ SY2219 ) )
| ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SY2219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(2005,plain,
! [SV592: set_set_a,SV285: set_set_a] :
( ( ! [SY2221: set_a] :
( ~ ( ord_le318720350_set_a @ SV285 @ SV592 )
| ~ ( member_set_a @ SY2221 @ SV285 )
| ( member_set_a @ SY2221 @ SV592 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(2006,plain,
! [SV593: set_a > ( a > e ) > $o,SV286: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV286 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV593 ) ) )
| ( SV593 @ ( produc1040928388_a_a_e @ SV286 ) @ ( produc317566658_a_a_e @ SV286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1679]) ).
thf(2007,plain,
! [SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 )
= ( ^ [SY2222: set_Pr204296108_a_a_e] :
! [SY2223: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2223 @ SV594 )
| ( member1258382221_a_a_e @ SY2223 @ SY2222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(2008,plain,
! [SV595: a > e,SV288: set_a] :
( ( ! [SY2224: set_Pr305929312_set_a] :
( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SY2224 ) )
= ( ~ ! [SY2225: a > e] :
~ ~ ! [SY2226: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2226 )
| ( SV595 != SY2225 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2225 @ SY2226 ) @ SY2224 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(2009,plain,
! [SV596: set_Pr204296108_a_a_e,SV289: set_a] :
( ( ~ ( member_set_a @ SV289 @ ( domain_set_a_a_e @ SV596 ) )
| ~ ! [SY2227: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV289 @ SY2227 ) @ SV596 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(2010,plain,
! [SV597: set_set_a,SV290: set_set_a] :
( ( ! [SY2228: set_set_a] :
( ( SV290 != SV597 )
| ~ ( ord_le318720350_set_a @ SV597 @ SY2228 )
| ( ord_le318720350_set_a @ SV290 @ SY2228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(2011,plain,
! [SV598: set_a,SV291: produc715398134_a_a_e > $o] :
( ( ! [SY2229: a > e] :
( ~ ( SV291 @ ( produc1134456688_a_a_e @ SV598 @ SY2229 ) )
| ( produc952037978_a_e_o @ SV291 @ SV598 @ SY2229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(2012,plain,
! [SV599: set_Pr204296108_a_a_e,SV292: produc715398134_a_a_e > set_a] :
( ( ! [SY2230: set_set_a] :
( ( ( image_64240033_set_a @ SV292 @ SV599 )
!= SY2230 )
| ( ( image_1441218763_set_a @ ( image_64240033_set_a @ SV292 ) @ ( pow_Pr328302361_a_a_e @ SV599 ) )
= ( pow_set_a @ SY2230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(2013,plain,
! [SV600: set_set_set_a] :
( ( ( ^ [SY2231: set_set_set_a] : ( SV600 = SY2231 ) )
= ( ^ [SY2232: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SY2232 )
| ~ ( ord_le2103863998_set_a @ SY2232 @ SV600 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(2014,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ! [SY2233: set_set_set_a] :
( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SY2233 ) )
= ( ~ ! [SY2234: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2234 @ SY2233 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2234 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(2015,plain,
! [SV602: set_Pr204296108_a_a_e,SV295: a > e] :
( ( ~ ( member_a_e @ SV295 @ ( range_set_a_a_e @ SV602 ) )
| ~ ! [SY2235: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2235 @ SV295 ) @ SV602 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(2016,plain,
! [SV603: set_set_a,SV296: set_set_a] :
( ( ! [SY2236: set_a > set_a] :
( ~ ( ord_le318720350_set_a @ SV296 @ SV603 )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SY2236 @ SV296 ) @ ( image_set_a_set_a @ SY2236 @ SV603 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(2017,plain,
! [SV604: set_set_set_a] :
( ( ( ^ [SY2237: set_set_set_a] : ( SV604 = SY2237 ) )
= ( ^ [SY2238: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SY2238 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SY2238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(2018,plain,
! [SV605: set_a > set_a,SV298: set_a] :
( ( ! [SY2239: set_a,SY2240: set_set_a] :
( ( SV298
!= ( SV605 @ SY2239 ) )
| ~ ( member_set_a @ SY2239 @ SY2240 )
| ( member_set_a @ SV298 @ ( image_set_a_set_a @ SV605 @ SY2240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(2019,plain,
! [SV606: set_a] :
( ( ( ^ [SY2241: set_a] : ( SV606 = SY2241 ) )
= ( ^ [SY2242: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV606 @ SY2242 )
| ~ ( ord_less_eq_set_a @ SY2242 @ SV606 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(2020,plain,
! [SV607: set_set_a] :
( ( ( ^ [SY2243: set_set_a] : ( SV607 = SY2243 ) )
= ( ^ [SY2244: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SV607 @ SY2244 )
| ~ ( ord_le318720350_set_a @ SY2244 @ SV607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(2021,plain,
! [SV608: set_Pr204296108_a_a_e,SV301: set_Pr204296108_a_a_e] :
( ( ! [SY2245: produc715398134_a_a_e > set_a] :
( ~ ( ord_le700723212_a_a_e @ SV301 @ SV608 )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SY2245 @ SV301 ) @ ( image_64240033_set_a @ SY2245 @ SV608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(2022,plain,
! [SV609: set_set_set_a,SV302: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV302 @ SV609 )
| ~ ( ord_le2103863998_set_a @ SV609 @ SV302 )
| ( SV302 = SV609 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(2023,plain,
! [SV610: a > a,SV303: set_a] :
( ( ! [SY2246: set_a] :
( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SY2246 ) )
= ( ~ ! [SY2247: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2247 @ SY2246 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2247 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1701]) ).
thf(2024,plain,
! [SV304: produc715398134_a_a_e] :
( ( ! [SY1754: set_a,SY1755: a > e] :
( SV304
!= ( produc1134456688_a_a_e @ SY1754 @ SY1755 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(2025,plain,
! [SV611: a > a > e,SV305: set_a] :
( ( ! [SY2248: set_a_e] :
( ~ ! [SY2249: a] :
( ~ ( member_a @ SY2249 @ SV305 )
| ( member_a_e @ ( SV611 @ SY2249 ) @ SY2248 ) )
| ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SY2248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(2026,plain,
! [SV612: set_set_a,SV306: set_set_a] :
( ( ! [SY2250: set_set_a > set_set_set_a,SY2251: set_set_set_a] :
( ~ ( ord_le318720350_set_a @ SV306 @ SV612 )
| ( ( SY2250 @ SV612 )
!= SY2251 )
| ~ ! [SX4: set_set_a,SX5: set_set_a] :
( ~ ( ord_le318720350_set_a @ SX4 @ SX5 )
| ( ord_le2103863998_set_a @ ( SY2250 @ SX4 ) @ ( SY2250 @ SX5 ) ) )
| ( ord_le2103863998_set_a @ ( SY2250 @ SV306 ) @ SY2251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(2027,plain,
! [SV613: set_a,SV307: set_a > $o] :
( ( ! [SY2254: ( a > e ) > $o,SY2255: a > e] :
( ~ ( SV307 @ SV613 )
| ~ ( SY2254 @ SY2255 )
| ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SY2255 ) ) )
| ~ ( SY2254 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SY2255 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(2028,plain,
! [SV614: set_set_a,SV308: set_a] :
( ( ! [SY2256: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SV308 @ SV614 )
| ( member1258382221_a_a_e @ ( SY2256 @ SV308 ) @ ( image_210900495_a_a_e @ SY2256 @ SV614 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(2029,plain,
! [SV615: a > set_a,SV309: set_a] :
( ( ! [SY2257: set_set_a] :
( ~ ! [SY2258: a] :
( ~ ( member_a @ SY2258 @ SV309 )
| ( member_set_a @ ( SV615 @ SY2258 ) @ SY2257 ) )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SY2257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(2030,plain,
! [SV616: $o > set_a,SV310: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV310 @ SV616 )
| ~ ( ord_less_eq_o_set_a @ SV616 @ SV310 )
| ( SV310 = SV616 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(2031,plain,
! [SV617: set_a,SV311: a > e] :
( ( ! [SY2259: set_Pr204296108_a_a_e] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV311 @ SV617 ) @ ( converse_set_a_a_e @ SY2259 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV617 @ SV311 ) @ SY2259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(2032,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ~ ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
| ~ ! [SY2260: set_a,SY2261: a > e] :
( ( SV312
!= ( produc479206876_set_a @ SY2261 @ SY2260 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2260 @ SY2261 ) @ SV618 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(2033,plain,
! [SV619: a > e,SV313: set_a] :
( ( ! [SY2262: set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV313 @ SV619 ) )
!= SY2262 )
| ( SV313 = SY2262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(2034,plain,
! [SV620: set_a,SV314: set_a] :
( ( ! [SY2263: set_a] :
( ( SV314 != SV620 )
| ~ ( ord_less_eq_set_a @ SV314 @ SY2263 )
| ( ord_less_eq_set_a @ SV620 @ SY2263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(2035,plain,
! [SV621: $o > set_a,SV315: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV315 @ SV621 )
| ~ ( ord_less_eq_o_set_a @ SV621 @ SV315 )
| ( SV315 = SV621 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(2036,plain,
! [SV622: a > e,SV316: set_a] :
( ( ! [SY2264: set_Pr204296108_a_a_e,SY2265: set_a > set_a,SY2266: ( a > e ) > a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV316 @ SV622 ) @ SY2264 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SY2265 @ SV316 ) @ ( SY2266 @ SV622 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SY2265 @ SY2266 ) @ SY2264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(2037,plain,
! [SV623: set_Pr204296108_a_a_e,SV317: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV317 @ SV623 )
| ~ ( ord_le700723212_a_a_e @ SV623 @ SV317 )
| ( SV317 = SV623 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(2038,plain,
! [SV624: a > $o,SV318: a > $o] :
( ( ~ ! [SY2267: a] :
( ~ ( SV318 @ SY2267 )
| ( SV624 @ SY2267 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SV624 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(2039,plain,
! [SV625: set_a,SV319: produc715398134_a_a_e] :
( ( ! [SY2268: a > e] :
( ( SV319
!= ( produc1134456688_a_a_e @ SV625 @ SY2268 ) )
| ( ( produc1040928388_a_a_e @ SV319 )
= SV625 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(2040,plain,
! [SV626: set_set_a,SV320: set_set_a] :
( ( ~ ( ( SV320 != SV626 ) )
| ~ ( ord_le318720350_set_a @ SV626 @ SV320 )
| ~ ! [SY2269: set_a] :
~ ~ ( ~ ( member_set_a @ SY2269 @ SV320 )
| ~ ~ ( member_set_a @ SY2269 @ SV626 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1718]) ).
thf(2041,plain,
! [SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a] :
( ( ! [SY2270: set_a > $o] :
( ~ ~ ! [SY2271: set_a] :
~ ~ ( ~ ( member_set_a @ SY2271 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SY2270 @ SY2271 ) )
| ~ ! [SY2272: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2272 @ SV627 )
| ~ ( SY2270 @ ( SV321 @ SY2272 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(2042,plain,
! [SV628: set_Pr204296108_a_a_e,SV322: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV322 @ SV628 )
| ~ ( ord_le700723212_a_a_e @ SV628 @ SV322 )
| ( SV322 = SV628 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(2043,plain,
! [SV629: set_set_a,SV323: set_set_a] :
( ( ! [SY2273: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV323 @ SV629 )
| ~ ( ord_le318720350_set_a @ SY2273 @ SV323 )
| ( ord_le318720350_set_a @ SY2273 @ SV629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(2044,plain,
! [SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e] :
( ( ! [SY2274: set_set_a,SY2275: produc715398134_a_a_e] :
( ~ ! [SY2276: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2276 @ SV324 )
| ( member_set_a @ ( SV630 @ SY2276 ) @ SY2274 ) )
| ~ ( member1258382221_a_a_e @ SY2275 @ SV324 )
| ( member_set_a @ ( SV630 @ SY2275 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(2045,plain,
! [SV631: set_Pr204296108_a_a_e,SV325: set_Pr204296108_a_a_e] :
( ( ~ ! [SY2277: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2277 @ SV325 )
| ( member1258382221_a_a_e @ SY2277 @ SV631 ) )
| ( ord_le700723212_a_a_e @ SV325 @ SV631 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(2046,plain,
! [SV632: $o > set_a] :
( ( ( ^ [SY2278: $o > set_a] : ( SV632 = SY2278 ) )
= ( ^ [SY2279: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SY2279 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SY2279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(2047,plain,
! [SV633: set_a,SV327: set_a] :
( ( ! [SY2280: a] :
( ~ ( ord_less_eq_set_a @ SV327 @ SV633 )
| ~ ( member_a @ SY2280 @ SV327 )
| ( member_a @ SY2280 @ SV633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(2048,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV328 )
!= ( produc1040928388_a_a_e @ SV634 ) )
| ( ( produc317566658_a_a_e @ SV328 )
!= ( produc317566658_a_a_e @ SV634 ) )
| ( SV328 = SV634 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(2049,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ! [SY2281: set_a] :
( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SY2281 ) )
= ( ~ ! [SY2282: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2282 @ SY2281 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2282 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(2050,plain,
! [SV636: set_set_a,SV330: set_set_a] :
( ( ! [SY2283: set_a > set_set_a] :
( ~ ( ord_le318720350_set_a @ SV330 @ SV636 )
| ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ SY2283 @ SV330 ) @ ( image_1930509541_set_a @ SY2283 @ SV636 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(2051,plain,
! [SV637: set_a,SV331: set_a > $o] :
( ( ! [SY2284: set_a > $o] :
( ~ ( SV331 @ SV637 )
| ~ ! [SY2285: set_a] :
( ~ ( SV331 @ SY2285 )
| ( ord_less_eq_set_a @ SY2285 @ SV637 ) )
| ~ ! [SY1820: set_a] :
( ~ ( SV331 @ SY1820 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY1820 ) )
| ( SY2284 @ SY1820 ) )
| ( SY2284 @ ( order_Greatest_set_a @ SV331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(2052,plain,
! [SV638: set_Pr204296108_a_a_e,SV332: produc715398134_a_a_e] :
( ( ! [SY2288: set_a,SY2289: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SV332 @ SV638 )
| ( SY2288
!= ( SY2289 @ SV332 ) )
| ( member_set_a @ SY2288 @ ( image_64240033_set_a @ SY2289 @ SV638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(2053,plain,
! [SV639: set_a > a,SV333: set_set_a] :
( ( ! [SY2290: set_a] :
( ~ ! [SY2291: set_a] :
( ~ ( member_set_a @ SY2291 @ SV333 )
| ( member_a @ ( SV639 @ SY2291 ) @ SY2290 ) )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SY2290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1732]) ).
thf(2054,plain,
! [SV640: set_a > set_set_a,SV334: set_set_set_a] :
( ( ! [SY2292: set_set_a] :
( ~ ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SY2292 ) )
| ~ ! [SY2293: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2293 @ SY2292 )
| ( SV334
!= ( image_1930509541_set_a @ SV640 @ SY2293 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1733]) ).
thf(2055,plain,
! [SV641: ( a > e ) > a,SV335: set_a_e] :
( ( ! [SY2294: set_a] :
( ~ ! [SY2295: a > e] :
( ~ ( member_a_e @ SY2295 @ SV335 )
| ( member_a @ ( SV641 @ SY2295 ) @ SY2294 ) )
| ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SY2294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(2056,plain,
! [SV642: set_set_a,SV336: set_a > set_a] :
( ( ! [SY2296: set_set_a] :
( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SY2296 )
= ( ! [SY2297: set_a] :
( ~ ( member_set_a @ SY2297 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2297 ) @ SY2296 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(2057,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ! [SY2298: set_set_set_a] :
( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SY2298 ) )
= ( ~ ! [SY2299: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2299 @ SY2298 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2299 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(2058,plain,
! [SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ! [SY2300: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SY2300 )
= ( ! [SY2301: set_a] :
( ~ ( member_set_a @ SY2301 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2301 ) @ SY2300 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(2059,plain,
! [SV645: $o > set_a,SV339: $o > set_a] :
( ( ! [SY2302: $o > set_a] :
( ( SV339 != SV645 )
| ~ ( ord_less_eq_o_set_a @ SV645 @ SY2302 )
| ( ord_less_eq_o_set_a @ SV339 @ SY2302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(2060,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= ( ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(2061,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ~ ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ( SV341 @ SV11 ) )
| ~ ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ~ ( SV341 @ SV11 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1740]) ).
thf(2062,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= ( SV341 @ SV11 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1740]) ).
thf(2063,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ~ ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ( SV342 @ SV12 ) )
| ~ ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ~ ( SV342 @ SV12 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1741]) ).
thf(2064,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= ( SV342 @ SV12 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1741]) ).
thf(2065,plain,
! [SV344: set_a,SV17: set_a] :
( ( ~ ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ( ord_less_eq_set_a @ SV17 @ SV344 ) )
| ~ ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1743]) ).
thf(2066,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= ( ord_less_eq_set_a @ SV17 @ SV344 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1743]) ).
thf(2067,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2068,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2069,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(2070,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(2071,plain,
! [SV651: set_a,SV354: ( a > e ) > a > e,SV31: set_a > set_a] :
( ( ! [SY2304: a > e] :
( ( produc1443219402_e_a_e @ SV31 @ SV354 @ ( produc1134456688_a_a_e @ SV651 @ SY2304 ) )
= ( produc1134456688_a_a_e @ ( SV31 @ SV651 ) @ ( SV354 @ SY2304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(2072,plain,
! [SV652: produc715398134_a_a_e,SV355: ( a > e ) > a > e,SV32: set_a > set_a] :
( ( ( produc1040928388_a_a_e @ ( produc1443219402_e_a_e @ SV32 @ SV355 @ SV652 ) )
= ( SV32 @ ( produc1040928388_a_a_e @ SV652 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(2073,plain,
! [SV37: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 = top_top_set_a ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 != top_top_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(2074,plain,
! [SV357: a > e,SV40: set_a] :
( ( ! [SV653: a] :
( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV40 @ SV357 ) @ SV653 )
= ( SV357 @ SV653 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1758]) ).
thf(2075,plain,
! [SV357: a > e,SV40: set_a] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV40 @ SV357 ) )
= SV357 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1758]) ).
thf(2076,plain,
! [SV358: set_a] :
( ( ~ ( ( top_top_set_a_o @ SV358 )
| ( member_set_a @ SV358 @ top_top_set_set_a ) )
| ~ ( ~ ( top_top_set_a_o @ SV358 )
| ~ ( member_set_a @ SV358 @ top_top_set_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1759]) ).
thf(2077,plain,
! [SV358: set_a] :
( ( ( top_top_set_a_o @ SV358 )
= ( member_set_a @ SV358 @ top_top_set_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1759]) ).
thf(2078,plain,
! [SV359: produc715398134_a_a_e] :
( ( ~ ( ( top_to2000253225_a_e_o @ SV359 )
| ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
| ~ ( ~ ( top_to2000253225_a_e_o @ SV359 )
| ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1760]) ).
thf(2079,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( top_to2000253225_a_e_o @ SV359 )
= ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1760]) ).
thf(2080,plain,
! [SV360: set_a > set_a > $o] :
( ( ! [SV654: set_a > ( a > e ) > $o] :
( ( bNF_sn375433437_a_a_e @ SV360 @ SV654 )
= ( ^ [SY2305: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV360 @ SV654 @ ( produc1040928388_a_a_e @ SY2305 ) @ ( produc317566658_a_a_e @ SY2305 ) ) @ ( produc317566658_a_a_e @ SY2305 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1761]) ).
thf(2081,plain,
! [SV360: set_a > set_a > $o] :
( ( ( bNF_sn375433437_a_a_e @ SV360 )
= ( ^ [SY1854: set_a > ( a > e ) > $o,SY1855: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV360 @ SY1854 @ ( produc1040928388_a_a_e @ SY1855 ) @ ( produc317566658_a_a_e @ SY1855 ) ) @ ( produc317566658_a_a_e @ SY1855 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1761]) ).
thf(2082,plain,
! [SV361: set_a > ( a > e ) > $o] :
( ( ! [SV655: ( a > e ) > ( a > e ) > $o] :
( ( bNF_fs1024561536_e_a_e @ SV361 @ SV655 )
= ( ^ [SY2306: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SY2306 ) @ ( bNF_pi1175744974_e_a_e @ SV361 @ SV655 @ ( produc1040928388_a_a_e @ SY2306 ) @ ( produc317566658_a_a_e @ SY2306 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1762]) ).
thf(2083,plain,
! [SV361: set_a > ( a > e ) > $o] :
( ( ( bNF_fs1024561536_e_a_e @ SV361 )
= ( ^ [SY1856: ( a > e ) > ( a > e ) > $o,SY1857: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SY1857 ) @ ( bNF_pi1175744974_e_a_e @ SV361 @ SY1856 @ ( produc1040928388_a_a_e @ SY1857 ) @ ( produc317566658_a_a_e @ SY1857 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1762]) ).
thf(2084,plain,
! [SV362: set_Pr204296108_a_a_e] :
( ( ! [SV656: set_a] :
( ( fun_in_rel_set_a_a_e @ SV362 @ SV656 )
= ( ^ [SY2307: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV656 @ SY2307 ) @ SV362 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1763]) ).
thf(2085,plain,
! [SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 )
= ( ^ [SY1858: set_a,SY1859: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1858 @ SY1859 ) @ SV362 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1763]) ).
thf(2086,plain,
! [SV657: set_a,SV363: a > set_a,SV48: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
| ~ ! [SY2308: set_a] :
( ~ ( ord_less_eq_set_a @ SY2308 @ SV657 )
| ( SV48
!= ( image_a_set_a @ SV363 @ SY2308 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1764]) ).
thf(2087,plain,
! [SV658: set_a > set_a,SV364: set_set_a,SV49: set_a] :
( ( ~ ( member_set_a @ SV49 @ SV364 )
| ( member_set_a @ ( SV658 @ SV49 ) @ ( image_set_a_set_a @ SV658 @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1765]) ).
thf(2088,plain,
! [SV659: set_a,SV365: set_set_a,SV50: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV50 @ SV365 )
| ( ord_le318720350_set_a @ SV365 @ SV50 ) )
| ~ ~ ( member_set_a @ SV659 @ SV50 )
| ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(2089,plain,
! [SV660: set_set_set_a,SV366: set_set_a > set_a,SV51: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
| ~ ! [SY2309: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2309 @ SV660 )
| ( SV51
!= ( image_402591269_set_a @ SV366 @ SY2309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(2090,plain,
! [SV661: set_Pr305929312_set_a,SV367: a > e,SV52: set_a] :
( ( ! [SY2310: set_a > ( a > e ) > $o] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
| ~ ! [SY2311: a > e,SY2312: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2311 @ SY2312 ) @ SV661 )
| ( SY2310 @ SY2312 @ SY2311 ) )
| ( SY2310 @ SV52 @ SV367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(2091,plain,
! [SV662: set_a > $o,SV368: set_Pr204296108_a_a_e,SV53: set_a] :
( ( ~ ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
| ~ ! [SY2313: set_a,SY2314: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2313 @ SY2314 ) @ SV368 )
| ( SV662 @ SY2313 ) )
| ( SV662 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1769]) ).
thf(2092,plain,
! [SV663: set_a,SV369: set_a > produc715398134_a_a_e,SV54: produc715398134_a_a_e] :
( ( ! [SY2315: set_set_a] :
( ( SV54
!= ( SV369 @ SV663 ) )
| ~ ( member_set_a @ SV663 @ SY2315 )
| ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SV369 @ SY2315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1770]) ).
thf(2093,plain,
! [SV664: set_Pr204296108_a_a_e,SV370: produc715398134_a_a_e > set_a,SV55: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
| ~ ! [SY2316: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2316 @ SV664 )
| ( SV55
!= ( image_64240033_set_a @ SV370 @ SY2316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(2094,plain,
! [SV56: set_a] :
( ( ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ a1 @ SV56 )
| ~ ( ord_less_eq_set_a @ a2 @ SV56 )
| ~ ( ord_less_eq_set_a @ a3 @ SV56 )
| thesis )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(2095,plain,
! [SV57: set_set_a] :
( ( ( ! [SY1157: set_a] : ( member_set_a @ SY1157 @ SV57 ) )
= $false )
| ( ( top_top_set_set_a = SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(2096,plain,
! [SV665: set_set_a,SV371: set_set_a,SV58: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV58 @ SV371 )
| ~ ( ord_le318720350_set_a @ SV371 @ SV665 )
| ( ord_le318720350_set_a @ SV58 @ SV665 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(2097,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) ) )
= $true )
| ( ( ~ ! [SY1878: a > e,SY1879: set_a] :
( ( SV59
!= ( produc1134456688_a_a_e @ SY1879 @ SY1878 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY1878 @ SY1879 ) @ SV372 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1775]) ).
thf(2098,plain,
! [SV666: set_set_set_a,SV373: set_set_set_a,SV60: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV60 @ SV373 )
| ~ ( ord_le2103863998_set_a @ SV373 @ SV666 )
| ( ord_le2103863998_set_a @ SV60 @ SV666 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(2099,plain,
! [SV667: set_a > $o > set_a,SV374: set_a,SV61: set_a] :
( ( ! [SY2317: $o > set_a] :
( ~ ( ord_less_eq_set_a @ SV61 @ SV374 )
| ( ( SV667 @ SV374 )
!= SY2317 )
| ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SY2317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(2100,plain,
! [SV375: set_Pr204296108_a_a_e,SV62: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV62 @ SV375 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV375 @ SV62 )
| ( SV375 = SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1778]) ).
thf(2101,plain,
! [SV376: set_a,SV63: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV63 @ SV376 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV376 @ SV63 )
| ( SV63 = SV376 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1779]) ).
thf(2102,plain,
! [SV377: $o > set_a] :
( ( ! [SV668: $o > set_a] :
( ( SV377 = SV668 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV668 )
| ~ ( ord_less_eq_o_set_a @ SV668 @ SV377 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1780]) ).
thf(2103,plain,
! [SV377: $o > set_a] :
( ( ( ^ [SY1885: $o > set_a] : ( SV377 = SY1885 ) )
= ( ^ [SY1886: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SY1886 )
| ~ ( ord_less_eq_o_set_a @ SY1886 @ SV377 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1780]) ).
thf(2104,plain,
! [SV669: set_a,SV378: produc715398134_a_a_e > a,SV65: set_Pr204296108_a_a_e] :
( ( ~ ! [SY2320: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2320 @ SV65 )
| ( member_a @ ( SV378 @ SY2320 ) @ SV669 ) )
| ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SV669 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(2105,plain,
! [SV670: set_a > set_set_set_a,SV379: set_a,SV66: set_a] :
( ( ! [SY2321: set_set_set_a] :
( ~ ( ord_less_eq_set_a @ SV66 @ SV379 )
| ( ( SV670 @ SV379 )
!= SY2321 )
| ~ ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) )
| ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SY2321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(2106,plain,
! [SV380: set_a,SV67: set_a] :
( ( ( SV67 != SV380 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV67 @ SV380 )
| ~ ( ord_less_eq_set_a @ SV380 @ SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1783]) ).
thf(2107,plain,
! [SV671: $o > set_a,SV381: $o > set_a,SV68: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV68 @ SV381 )
| ~ ( ord_less_eq_o_set_a @ SV381 @ SV671 )
| ( ord_less_eq_o_set_a @ SV68 @ SV671 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2108,plain,
! [SV672: set_Pr204296108_a_a_e,SV382: produc715398134_a_a_e > produc715398134_a_a_e,SV69: set_Pr204296108_a_a_e] :
( ( ~ ! [SY2324: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2324 @ SV69 )
| ( member1258382221_a_a_e @ ( SV382 @ SY2324 ) @ SV672 ) )
| ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SV672 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1785]) ).
thf(2109,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= ( ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(2110,plain,
! [SV674: set_a > a,SV384: set_set_a,SV71: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV71 @ SV384 )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SV674 @ SV71 ) @ ( image_set_a_a @ SV674 @ SV384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(2111,plain,
! [SV675: produc715398134_a_a_e,SV385: set_Pr204296108_a_a_e,SV72: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV72 @ SV385 )
| ~ ( member1258382221_a_a_e @ SV675 @ SV72 )
| ( member1258382221_a_a_e @ SV675 @ SV385 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1788]) ).
thf(2112,plain,
( ( member_set_a @ sK1_SX0 @ top_top_set_set_a )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1789]) ).
thf(2113,plain,
! [SV386: set_a,SV73: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV73 @ SV386 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( pow_a @ SV73 ) @ ( pow_a @ SV386 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1790]) ).
thf(2114,plain,
! [SV676: set_a > set_a,SV387: set_a,SV74: set_a] :
( ( ! [SY2327: set_a] :
( ~ ( ord_less_eq_set_a @ SV74 @ SV387 )
| ~ ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SY2327 )
| ~ ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) )
| ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SY2327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(2115,plain,
! [SV677: set_a,SV388: set_a,SV75: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV75 @ SV388 )
| ~ ( ord_less_eq_set_a @ SV388 @ SV677 )
| ( ord_less_eq_set_a @ SV75 @ SV677 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(2116,plain,
! [SV678: set_set_a > $o > set_a,SV389: set_set_a,SV76: set_set_a] :
( ( ! [SY2330: $o > set_a] :
( ~ ( ord_le318720350_set_a @ SV76 @ SV389 )
| ( ( SV678 @ SV389 )
!= SY2330 )
| ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SY2330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2117,plain,
! [SV679: a > e,SV390: set_a,SV77: produc715398134_a_a_e] :
( ( ( SV77
!= ( produc1134456688_a_a_e @ SV390 @ SV679 ) )
| ( ( produc317566658_a_a_e @ SV77 )
= SV679 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(2118,plain,
! [SV680: set_Pr204296108_a_a_e,SV391: a > e,SV78: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV78 @ SV391 ) @ SV680 )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV391 @ SV78 ) @ ( converse_set_a_a_e @ SV680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(2119,plain,
! [SV681: $o > set_a,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e] :
( ( ! [SY2333: $o > set_a] :
( ( SV79
!= ( SV392 @ SV681 ) )
| ~ ( ord_less_eq_o_set_a @ SV681 @ SY2333 )
| ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SY2333 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2120,plain,
! [SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a] :
( ( ! [SY2336: set_a] :
( ~ ! [SY2337: set_a] :
( ~ ( member_set_a @ SY2337 @ SV80 )
| ( member_set_a @ ( SV393 @ SY2337 ) @ SV682 ) )
| ~ ( member_set_a @ SY2336 @ SV80 )
| ( member_set_a @ ( SV393 @ SY2336 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(2121,plain,
! [SV683: set_a,SV394: set_a > set_a,SV81: set_a] :
( ( ! [SY2338: set_a] :
( ~ ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
| ~ ( ord_less_eq_set_a @ SV683 @ SY2338 )
| ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SY2338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(2122,plain,
! [SV395: set_set_set_a,SV82: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV82 @ SV395 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV395 @ SV82 )
| ( SV82 = SV395 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1799]) ).
thf(2123,plain,
! [SV684: set_Pr204296108_a_a_e,SV396: set_Pr204296108_a_a_e,SV83: set_Pr204296108_a_a_e] :
( ( ( SV83 != SV396 )
| ~ ( ord_le700723212_a_a_e @ SV396 @ SV684 )
| ( ord_le700723212_a_a_e @ SV83 @ SV684 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(2124,plain,
! [SV685: produc715398134_a_a_e,SV397: produc715398134_a_a_e > set_a,SV84: set_a] :
( ( ( SV84
!= ( SV397 @ SV685 ) )
| ( member_set_a @ SV84 @ ( image_64240033_set_a @ SV397 @ top_to1601855068_a_a_e ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(2125,plain,
! [SV686: set_set_set_a,SV398: set_set_set_a,SV85: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV85 @ SV398 )
| ~ ( ord_le2103863998_set_a @ SV398 @ SV686 )
| ( ord_le2103863998_set_a @ SV85 @ SV686 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2126,plain,
! [SV687: set_a,SV399: a > a,SV86: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
| ~ ! [SY2341: set_a] :
( ~ ( ord_less_eq_set_a @ SY2341 @ SV687 )
| ( SV86
!= ( image_a_a @ SV399 @ SY2341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(2127,plain,
! [SV688: set_a,SV400: a > e,SV87: set_a] :
( ( ! [SY2342: a > e] :
( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
!= ( produc1134456688_a_a_e @ SV688 @ SY2342 ) )
| ~ ( ( SV87 != SV688 )
| ( SV400 != SY2342 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(2128,plain,
! [SV401: set_set_a,SV88: set_set_a] :
( ( ( ~ ! [SY1930: set_a] :
( ~ ( member_set_a @ SY1930 @ SV88 )
| ( member_set_a @ SY1930 @ SV401 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV88 @ SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1805]) ).
thf(2129,plain,
! [SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a] :
( ( ! [SY2343: set_a] :
( ~ ! [SY2344: set_a] :
( ~ ( member_set_a @ SY2344 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SY2344 ) @ SV689 ) )
| ~ ( member_set_a @ SY2343 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SY2343 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(2130,plain,
! [SV690: produc715398134_a_a_e,SV403: produc715398134_a_a_e > produc715398134_a_a_e,SV90: produc715398134_a_a_e] :
( ( ! [SY2345: set_Pr204296108_a_a_e] :
( ( SV90
!= ( SV403 @ SV690 ) )
| ~ ( member1258382221_a_a_e @ SV690 @ SY2345 )
| ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SV403 @ SY2345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1807]) ).
thf(2131,plain,
! [SV691: ( a > e ) > ( a > e ) > $o,SV404: set_a > ( a > e ) > $o,SV91: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV91 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ SV404 @ SV691 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ SV404 @ SV691 @ SV91 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV404 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2132,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= ( ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1809]) ).
thf(2133,plain,
! [SV406: set_Pr204296108_a_a_e] :
( ( ! [SV693: set_Pr204296108_a_a_e] :
( ( SV406 = SV693 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV693 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV693 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1810]) ).
thf(2134,plain,
! [SV406: set_Pr204296108_a_a_e] :
( ( ( ^ [SY1939: set_Pr204296108_a_a_e] : ( SV406 = SY1939 ) )
= ( ^ [SY1940: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SY1940 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SY1940 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1810]) ).
thf(2135,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= ( ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2136,plain,
! [SV695: produc715398134_a_a_e > set_a,SV408: set_Pr204296108_a_a_e,SV95: set_Pr204296108_a_a_e] :
( ( ! [SY2348: produc715398134_a_a_e > set_a,SY2349: set_set_a > set_a] :
( ( SV95 != SV408 )
| ~ ! [SY2350: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2350 @ SV408 )
| ( ( SV695 @ SY2350 )
= ( SY2348 @ SY2350 ) ) )
| ( ( SY2349 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SY2349 @ ( image_64240033_set_a @ SY2348 @ SV408 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(2137,plain,
! [SV696: set_a,SV409: set_a,SV96: set_a] :
( ( ( SV96 != SV409 )
| ~ ( ord_less_eq_set_a @ SV696 @ SV96 )
| ( ord_less_eq_set_a @ SV696 @ SV409 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2138,plain,
! [SV410: $o > set_a] :
( ( ! [SV697: $o > set_a] :
( ( ord_less_eq_o_set_a @ SV410 @ SV697 )
= ( ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV697 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV697 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1814]) ).
thf(2139,plain,
! [SV410: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV410 )
= ( ^ [SY1948: $o > set_a] :
~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SY1948 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SY1948 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1814]) ).
thf(2140,plain,
! [SV411: set_set_set_a,SV98: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV98 @ SV411 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV411 @ SV98 )
| ( SV411 = SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(2141,plain,
! [SV99: set_a] :
( ( ( ord_less_eq_set_a @ top_top_set_a @ SV99 )
= $false )
| ( ( SV99 = top_top_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(2142,plain,
! [SV698: set_set_set_a,SV412: set_set_set_a,SV100: set_set_set_a] :
( ( ( SV100 != SV412 )
| ~ ( ord_le2103863998_set_a @ SV412 @ SV698 )
| ( ord_le2103863998_set_a @ SV100 @ SV698 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(2143,plain,
! [SV699: set_a > ( a > e ) > $o,SV413: set_a > set_a > $o,SV101: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV101 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ SV413 @ SV699 ) ) ) )
| ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ SV413 @ SV699 @ SV101 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV699 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2144,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= ( ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(2145,plain,
! [SV415: set_a,SV103: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV103 @ SV415 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( finite_Fpow_a @ SV103 ) @ ( finite_Fpow_a @ SV415 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(2146,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ~ ~ ( ( ( produc1040928388_a_a_e @ SV104 )
!= ( produc1040928388_a_a_e @ SV416 ) )
| ( ( produc317566658_a_a_e @ SV104 )
!= ( produc317566658_a_a_e @ SV416 ) ) ) )
= $true )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1821]) ).
thf(2147,plain,
! [SV417: set_Pr204296108_a_a_e,SV105: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV105 @ SV417 ) )
= $true )
| ( ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= ( SV417 = SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1822]) ).
thf(2148,plain,
! [SV701: ( a > e ) > $o,SV418: set_Pr204296108_a_a_e,SV106: a > e] :
( ( ~ ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
| ~ ! [SY2352: set_a,SY2353: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2352 @ SY2353 ) @ SV418 )
| ( SV701 @ SY2353 ) )
| ( SV701 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(2149,plain,
! [SV419: set_a,SV107: set_a] :
( ( ( SV107 != SV419 )
= $true )
| ( ( ord_less_eq_set_a @ SV419 @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1824]) ).
thf(2150,plain,
! [SV702: set_Pr204296108_a_a_e,SV420: set_Pr204296108_a_a_e,SV108: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV108 @ SV420 )
| ~ ( ord_le700723212_a_a_e @ SV420 @ SV702 )
| ( ord_le700723212_a_a_e @ SV108 @ SV702 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(2151,plain,
! [SV421: set_set_a] :
( ( ! [SV703: set_set_a] :
( ( SV421 = SV703 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV703 )
| ~ ( ord_le318720350_set_a @ SV703 @ SV421 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1826]) ).
thf(2152,plain,
! [SV421: set_set_a] :
( ( ( ^ [SY1957: set_set_a] : ( SV421 = SY1957 ) )
= ( ^ [SY1958: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SV421 @ SY1958 )
| ~ ( ord_le318720350_set_a @ SY1958 @ SV421 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1826]) ).
thf(2153,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= ( ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(2154,plain,
! [SV705: set_set_a > a,SV423: set_set_set_a,SV111: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV111 @ SV423 )
| ( ord_less_eq_set_a @ ( image_set_set_a_a @ SV705 @ SV111 ) @ ( image_set_set_a_a @ SV705 @ SV423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2155,plain,
! [SV706: produc715398134_a_a_e,SV424: produc715398134_a_a_e > set_a,SV112: set_a] :
( ( ! [SY2356: a > e,SY2357: produc715398134_a_a_e > a > e,SY2358: set_Pr204296108_a_a_e] :
( ( SV112
!= ( SV424 @ SV706 ) )
| ( SY2356
!= ( SY2357 @ SV706 ) )
| ~ ( member1258382221_a_a_e @ SV706 @ SY2358 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SY2356 ) @ ( bNF_Gr2072183031_a_a_e @ SY2358 @ SV424 @ SY2357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2156,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= ( ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(2157,plain,
! [SV708: set_Pr204296108_a_a_e,SV426: set_a,SV114: a > e] :
( ( ! [SY2360: ( a > e ) > set_a > $o] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
| ~ ! [SY2361: set_a,SY2362: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2361 @ SY2362 ) @ SV708 )
| ( SY2360 @ SY2362 @ SY2361 ) )
| ( SY2360 @ SV114 @ SV426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2158,plain,
! [SV709: set_a,SV427: a > a,SV115: set_a] :
( ( ~ ! [SY2363: a] :
( ~ ( member_a @ SY2363 @ SV115 )
| ( member_a @ ( SV427 @ SY2363 ) @ SV709 ) )
| ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SV709 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2159,plain,
! [SV428: set_a > produc715398134_a_a_e,SV116: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY1975: set_a] :
( ( SV116 @ ( SV428 @ SY1975 ) )
= SY1975 ) )
= $true )
| ( ( ( image_64240033_set_a @ SV116 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(2160,plain,
! [SV710: set_set_a > set_set_a,SV429: set_set_a,SV117: set_set_a] :
( ( ! [SY2364: set_set_a] :
( ~ ( ord_le318720350_set_a @ SV117 @ SV429 )
| ( ( SV710 @ SV429 )
!= SY2364 )
| ~ ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) )
| ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SY2364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2161,plain,
! [SV711: set_set_set_a,SV430: set_set_set_a,SV118: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV118 @ SV430 )
| ~ ( ord_le2103863998_set_a @ SV711 @ SV118 )
| ( ord_le2103863998_set_a @ SV711 @ SV430 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(2162,plain,
! [SV431: produc715398134_a_a_e > set_a,SV119: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV119 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
= $true )
| ( ( ( ( image_64240033_set_a @ SV431 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_2101504031_set_a @ ( produc387505142_set_a @ SV119 @ SV431 ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1836]) ).
thf(2163,plain,
! [SV432: produc715398134_a_a_e] :
( ( ! [SV712: produc715398134_a_a_e] :
( ( SV432 = SV712 )
= ( ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV712 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV712 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1837]) ).
thf(2164,plain,
! [SV432: produc715398134_a_a_e] :
( ( ( ^ [SY1981: produc715398134_a_a_e] : ( SV432 = SY1981 ) )
= ( ^ [SY1982: produc715398134_a_a_e] :
~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SY1982 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SY1982 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1837]) ).
thf(2165,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= ( ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1838]) ).
thf(2166,plain,
! [SV434: $o > set_a,SV122: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV122 @ SV434 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV434 @ SV122 )
| ( SV434 = SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1839]) ).
thf(2167,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= ( ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2168,plain,
! [SV715: set_set_a,SV436: set_Pr204296108_a_a_e,SV124: produc715398134_a_a_e > set_a] :
( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV124 @ SV436 ) @ SV715 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV124 ) @ ( pow_Pr328302361_a_a_e @ SV436 ) ) @ ( pow_set_a @ SV715 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1841]) ).
thf(2169,plain,
! [SV437: set_a] :
( ( ! [SV716: set_a] :
( ( ord_less_eq_set_a @ SV437 @ SV716 )
= ( ! [SY2369: a] :
( ~ ( member_a @ SY2369 @ SV437 )
| ( member_a @ SY2369 @ SV716 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1842]) ).
thf(2170,plain,
! [SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 )
= ( ^ [SY1988: set_a] :
! [SY1989: a] :
( ~ ( member_a @ SY1989 @ SV437 )
| ( member_a @ SY1989 @ SY1988 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1842]) ).
thf(2171,plain,
! [SV717: set_a,SV438: set_a > a > e,SV126: a > e] :
( ( ! [SY2370: set_set_a] :
( ( SV126
!= ( SV438 @ SV717 ) )
| ~ ( member_set_a @ SV717 @ SY2370 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SY2370 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(2172,plain,
! [SV439: $o > set_a,SV127: $o > set_a] :
( ( ( SV127 != SV439 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV127 @ SV439 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1844]) ).
thf(2173,plain,
! [SV440: set_a,SV128: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV128 @ SV440 ) )
= $true )
| ( ( member_set_a @ SV128 @ ( pow_a @ SV440 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1845]) ).
thf(2174,plain,
! [SV718: set_a,SV441: set_a,SV129: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV129 @ SV441 )
| ~ ( ord_less_eq_set_a @ SV441 @ SV718 )
| ( ord_less_eq_set_a @ SV129 @ SV718 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(2175,plain,
! [SV719: a,SV442: set_a,SV130: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV130 @ SV442 )
| ( ord_less_eq_set_a @ SV442 @ SV130 ) )
| ~ ~ ( member_a @ SV719 @ SV130 )
| ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1847]) ).
thf(2176,plain,
! [SV720: $o > set_a,SV443: $o > set_a,SV131: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV131 @ SV443 )
| ~ ( ord_less_eq_o_set_a @ SV720 @ SV131 )
| ( ord_less_eq_o_set_a @ SV720 @ SV443 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1848]) ).
thf(2177,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ~ ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
| ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1849]) ).
thf(2178,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= ( ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1849]) ).
thf(2179,plain,
! [SV721: set_set_a,SV445: set_a > set_a,SV133: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
| ~ ! [SY2371: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2371 @ SV721 )
| ( SV133
!= ( image_set_a_set_a @ SV445 @ SY2371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2180,plain,
! [SV446: set_Pr204296108_a_a_e,SV134: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV134 @ SV446 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV446 @ SV134 )
| ( SV134 = SV446 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1851]) ).
thf(2181,plain,
! [SV722: a > e,SV447: a > e,SV135: set_a] :
( ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
!= SV722 )
| ( SV447 = SV722 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1852]) ).
thf(2182,plain,
! [SV723: produc715398134_a_a_e,SV448: produc715398134_a_a_e > set_a,SV136: set_a] :
( ( ! [SY2372: set_Pr204296108_a_a_e] :
( ( SV136
!= ( SV448 @ SV723 ) )
| ~ ( member1258382221_a_a_e @ SV723 @ SY2372 )
| ( member_set_a @ SV136 @ ( image_64240033_set_a @ SV448 @ SY2372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2183,plain,
! [SV449: set_a,SV137: set_a] :
( ( ( ~ ~ ( ord_less_eq_set_a @ SV137 @ SV449 ) )
= $true )
| ( ( ~ ! [SY2002: a] :
~ ~ ( ~ ( member_a @ SY2002 @ SV137 )
| ~ ~ ( member_a @ SY2002 @ SV449 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1854]) ).
thf(2184,plain,
! [SV450: $o > set_a,SV138: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV138 @ SV450 ) )
= $true )
| ( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= ( SV450 = SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1855]) ).
thf(2185,plain,
! [SV724: set_set_set_a,SV451: set_set_set_a,SV139: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV139 @ SV451 )
| ( SV451 != SV724 )
| ( ord_le2103863998_set_a @ SV139 @ SV724 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(2186,plain,
! [SV725: $o > set_a,SV452: $o > set_a,SV140: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV140 @ SV452 )
| ~ ( ord_less_eq_o_set_a @ SV452 @ SV725 )
| ( ord_less_eq_o_set_a @ SV140 @ SV725 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1857]) ).
thf(2187,plain,
! [SV453: set_a] :
( ( ! [SV726: set_a] :
( ( SV453 = SV726 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV726 )
| ~ ( ord_less_eq_set_a @ SV726 @ SV453 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1858]) ).
thf(2188,plain,
! [SV453: set_a] :
( ( ( ^ [SY2005: set_a] : ( SV453 = SY2005 ) )
= ( ^ [SY2006: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV453 @ SY2006 )
| ~ ( ord_less_eq_set_a @ SY2006 @ SV453 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1858]) ).
thf(2189,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ~ ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
| ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1859]) ).
thf(2190,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= ( ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1859]) ).
thf(2191,plain,
! [SV727: set_set_set_a,SV455: set_set_a > a,SV143: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
| ~ ! [SY2373: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2373 @ SV727 )
| ( SV143
!= ( image_set_set_a_a @ SV455 @ SY2373 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(2192,plain,
! [SV456: set_Pr204296108_a_a_e,SV144: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2010: set_a,SY2011: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2010 @ SY2011 ) @ SV144 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2010 @ SY2011 ) @ SV456 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV144 @ SV456 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1861]) ).
thf(2193,plain,
! [SV457: set_a,SV145: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV145 @ SV457 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV457 @ SV145 )
| ( SV145 = SV457 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1862]) ).
thf(2194,plain,
! [SV728: set_Pr305929312_set_a,SV458: a > e,SV146: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV146 @ SV458 ) @ ( converse_a_e_set_a @ SV728 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV458 @ SV146 ) @ SV728 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(2195,plain,
! [SV729: set_Pr204296108_a_a_e,SV459: set_a,SV147: a > e] :
( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV147 @ SV459 ) @ ( converse_set_a_a_e @ SV729 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV459 @ SV147 ) @ SV729 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(2196,plain,
! [SV730: set_a,SV460: a > e,SV148: ( a > e ) > set_a > $o] :
( ( ~ ( SV148 @ SV460 @ SV730 )
| ( SV148 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV730 @ SV460 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV730 @ SV460 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(2197,plain,
! [SV731: set_set_a,SV461: set_set_a,SV149: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV149 @ SV461 )
| ~ ( ord_le318720350_set_a @ SV461 @ SV731 )
| ( ord_le318720350_set_a @ SV149 @ SV731 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(2198,plain,
! [SV462: set_set_a] :
( ( ! [SV732: set_set_a] :
( ( ord_le318720350_set_a @ SV462 @ SV732 )
= ( ! [SY2374: set_a] :
( ~ ( member_set_a @ SY2374 @ SV462 )
| ( member_set_a @ SY2374 @ SV732 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1867]) ).
thf(2199,plain,
! [SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 )
= ( ^ [SY2016: set_set_a] :
! [SY2017: set_a] :
( ~ ( member_set_a @ SY2017 @ SV462 )
| ( member_set_a @ SY2017 @ SY2016 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1867]) ).
thf(2200,plain,
! [SV463: set_a,SV151: set_a] :
( ( ( SV151 != SV463 )
= $true )
| ( ( ord_less_eq_set_a @ SV151 @ SV463 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1868]) ).
thf(2201,plain,
! [SV733: a > a,SV464: set_a,SV152: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV152 @ SV464 )
| ( ord_less_eq_set_a @ ( image_a_a @ SV733 @ SV152 ) @ ( image_a_a @ SV733 @ SV464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(2202,plain,
! [SV734: a > e,SV465: ( a > e ) > a,SV153: a] :
( ( ! [SY2375: set_a_e] :
( ( SV153
!= ( SV465 @ SV734 ) )
| ~ ( member_a_e @ SV734 @ SY2375 )
| ( member_a @ SV153 @ ( image_a_e_a @ SV465 @ SY2375 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(2203,plain,
( ( member1258382221_a_a_e @ sK2_SX0 @ top_to1601855068_a_a_e )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1871]) ).
thf(2204,plain,
! [SV735: set_set_a,SV466: set_a > set_a,SV154: set_set_a] :
( ( ~ ! [SY2376: set_a] :
( ~ ( member_set_a @ SY2376 @ SV154 )
| ( member_set_a @ ( SV466 @ SY2376 ) @ SV735 ) )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SV735 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2205,plain,
! [SV736: ( a > e ) > a > e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ! [SY2377: set_Pr204296108_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SY2377 ) )
| ~ ! [SY2378: set_a,SY2379: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ SY2378 ) @ ( SV736 @ SY2379 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2378 @ SY2379 ) @ SY2377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2206,plain,
! [SV468: set_set_set_a,SV156: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV156 @ SV468 ) )
= $true )
| ( ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= ( SV468 = SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1874]) ).
thf(2207,plain,
! [SV737: set_set_a > set_set_a,SV469: set_set_set_a,SV157: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV157 @ SV469 )
| ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ SV737 @ SV157 ) @ ( image_1956910981_set_a @ SV737 @ SV469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(2208,plain,
! [SV738: set_Pr204296108_a_a_e,SV470: a > e,SV158: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV158 @ SV470 ) @ SV738 )
| ( member_a_e @ SV470 @ ( range_set_a_a_e @ SV738 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2209,plain,
! [SV471: set_Pr204296108_a_a_e,SV159: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( SV159 != SV471 ) ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV471 @ SV159 )
| ~ ! [SY2029: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2029 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY2029 @ SV471 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1877]) ).
thf(2210,plain,
! [SV739: set_a,SV472: a > set_set_a,SV160: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
| ~ ! [SY2380: set_a] :
( ~ ( ord_less_eq_set_a @ SY2380 @ SV739 )
| ( SV160
!= ( image_a_set_set_a @ SV472 @ SY2380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(2211,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ~ ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
| ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1879]) ).
thf(2212,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= ( ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1879]) ).
thf(2213,plain,
! [SV474: set_set_set_a] :
( ( ! [SV740: set_set_set_a] :
( ( SV474 = SV740 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV740 )
| ~ ( ord_le2103863998_set_a @ SV740 @ SV474 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1880]) ).
thf(2214,plain,
! [SV474: set_set_set_a] :
( ( ( ^ [SY2034: set_set_set_a] : ( SV474 = SY2034 ) )
= ( ^ [SY2035: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SY2035 )
| ~ ( ord_le2103863998_set_a @ SY2035 @ SV474 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1880]) ).
thf(2215,plain,
! [SV475: set_set_a,SV163: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV163 @ SV475 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV475 @ SV163 )
| ( SV475 = SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1881]) ).
thf(2216,plain,
! [SV741: set_Pr204296108_a_a_e,SV476: set_Pr204296108_a_a_e,SV164: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV164 @ SV476 )
| ~ ( ord_le700723212_a_a_e @ SV741 @ SV164 )
| ( ord_le700723212_a_a_e @ SV741 @ SV476 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1882]) ).
thf(2217,plain,
! [SV742: set_a_e,SV477: set_Pr204296108_a_a_e,SV165: set_set_a] :
( ( ! [SY2381: set_a > ( a > e ) > $o,SY2382: set_a > ( a > e ) > $o] :
( ( SV165
!= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
| ( SV742
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
| ~ ! [SY2383: set_a] :
( ~ ( member_set_a @ SY2383 @ SV165 )
| ! [SY2384: a > e] :
( ~ ( member_a_e @ SY2384 @ SV742 )
| ~ ( SY2381 @ SY2383 @ SY2384 )
| ( SY2382 @ SY2383 @ SY2384 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY2381 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY2382 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(2218,plain,
! [SV478: set_set_a,SV166: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV166 @ SV478 ) )
= $true )
| ( ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= ( SV478 = SV166 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1884]) ).
thf(2219,plain,
! [SV479: set_Pr204296108_a_a_e,SV167: set_Pr204296108_a_a_e] :
( ( ( SV167 != SV479 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV167 @ SV479 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1885]) ).
thf(2220,plain,
! [SV743: a > set_set_a,SV480: set_a,SV168: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV168 @ SV480 )
| ( ord_le2103863998_set_a @ ( image_a_set_set_a @ SV743 @ SV168 ) @ ( image_a_set_set_a @ SV743 @ SV480 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(2221,plain,
! [SV744: set_a > set_set_a,SV481: set_a,SV169: set_a] :
( ( ! [SY2385: set_set_a] :
( ~ ( ord_less_eq_set_a @ SV169 @ SV481 )
| ( ( SV744 @ SV481 )
!= SY2385 )
| ~ ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) )
| ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SY2385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2222,plain,
! [SV482: set_a,SV170: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV170 @ SV482 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV482 @ SV170 )
| ( SV482 = SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1888]) ).
thf(2223,plain,
! [SV483: set_set_a] :
( ( ! [SV745: set_set_a] :
( ( ord_le318720350_set_a @ SV483 @ SV745 )
= ( ! [SY2388: set_a] :
( ~ ( member_set_a @ SY2388 @ SV483 )
| ( member_set_a @ SY2388 @ SV745 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1889]) ).
thf(2224,plain,
! [SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 )
= ( ^ [SY2047: set_set_a] :
! [SY2048: set_a] :
( ~ ( member_set_a @ SY2048 @ SV483 )
| ( member_set_a @ SY2048 @ SY2047 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1889]) ).
thf(2225,plain,
! [SV746: produc715398134_a_a_e > set_a,SV484: set_Pr204296108_a_a_e,SV172: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV172 @ SV484 )
| ( member_set_a @ ( SV746 @ SV172 ) @ ( image_64240033_set_a @ SV746 @ SV484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1890]) ).
thf(2226,plain,
! [SV747: set_set_a,SV485: produc715398134_a_a_e > set_a,SV173: set_Pr204296108_a_a_e] :
( ( ~ ! [SY2389: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2389 @ SV173 )
| ( member_set_a @ ( SV485 @ SY2389 ) @ SV747 ) )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SV747 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1891]) ).
thf(2227,plain,
! [SV748: set_set_a,SV486: set_set_a,SV174: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV174 @ SV486 )
| ( SV486 != SV748 )
| ( ord_le318720350_set_a @ SV174 @ SV748 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2228,plain,
! [SV749: set_a,SV487: set_a > a,SV175: a] :
( ( ! [SY2390: set_set_a] :
( ( SV175
!= ( SV487 @ SV749 ) )
| ~ ( member_set_a @ SV749 @ SY2390 )
| ( member_a @ SV175 @ ( image_set_a_a @ SV487 @ SY2390 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1893]) ).
thf(2229,plain,
! [SV488: set_set_a,SV176: set_set_a] :
( ( ( ~ ~ ( ord_le318720350_set_a @ SV176 @ SV488 ) )
= $true )
| ( ( ~ ! [SY2055: set_a] :
~ ~ ( ~ ( member_set_a @ SY2055 @ SV176 )
| ~ ~ ( member_set_a @ SY2055 @ SV488 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1894]) ).
thf(2230,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1895]) ).
thf(2231,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= ( ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1895]) ).
thf(2232,plain,
! [SV490: set_a,SV178: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV178 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
= $true )
| ( ( ~ ! [SY2057: produc715398134_a_a_e] :
( SV490
!= ( SV178 @ SY2057 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(2233,plain,
! [SV750: set_a,SV491: set_a,SV179: set_a] :
( ( ( SV179 != SV491 )
| ~ ( ord_less_eq_set_a @ SV491 @ SV750 )
| ( ord_less_eq_set_a @ SV179 @ SV750 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2234,plain,
! [SV751: set_a,SV492: set_a,SV180: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV180 @ SV492 )
| ~ ( ord_less_eq_set_a @ SV751 @ SV180 )
| ( ord_less_eq_set_a @ SV751 @ SV492 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(2235,plain,
! [SV493: set_set_a,SV181: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV181 @ SV493 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV493 @ SV181 )
| ( SV181 = SV493 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(2236,plain,
! [SV752: a > e,SV494: set_a,SV182: produc715398134_a_a_e > $o] :
( ( ~ ( produc952037978_a_e_o @ SV182 @ SV494 @ SV752 )
| ( SV182 @ ( produc1134456688_a_a_e @ SV494 @ SV752 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1900]) ).
thf(2237,plain,
! [SV495: set_a,SV183: set_a] :
( ( ( ~ ! [SY2061: a] :
( ~ ( member_a @ SY2061 @ SV183 )
| ( member_a @ SY2061 @ SV495 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV183 @ SV495 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1901]) ).
thf(2238,plain,
! [SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e] :
( ( ! [SY2391: produc715398134_a_a_e] :
( ~ ! [SY2392: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2392 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SY2392 ) @ SV753 ) )
| ~ ( member1258382221_a_a_e @ SY2391 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SY2391 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1902]) ).
thf(2239,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= ( ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(2240,plain,
! [SV755: $o > set_a,SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a] :
( ( ! [SY2394: $o > set_a] :
( ( SV186
!= ( SV498 @ SV755 ) )
| ~ ( ord_less_eq_o_set_a @ SV755 @ SY2394 )
| ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SY2394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1904]) ).
thf(2241,plain,
! [SV756: set_Pr204296108_a_a_e,SV499: set_Pr204296108_a_a_e,SV187: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV187 @ SV499 )
| ( SV499 != SV756 )
| ( ord_le700723212_a_a_e @ SV187 @ SV756 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2242,plain,
! [SV757: set_Pr204296108_a_a_e,SV500: a > e,SV188: set_a] :
( ( ! [SY2397: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
| ( SY2397 != SV500 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SY2397 ) @ SV757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1906]) ).
thf(2243,plain,
! [SV758: set_Pr204296108_a_a_e,SV501: set_Pr204296108_a_a_e,SV189: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV189 @ SV501 )
| ~ ( ord_le700723212_a_a_e @ SV501 @ SV758 )
| ( ord_le700723212_a_a_e @ SV189 @ SV758 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(2244,plain,
! [SV502: set_Pr204296108_a_a_e,SV190: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ord_le700723212_a_a_e @ SV190 @ SV502 ) )
= $true )
| ( ( ~ ! [SY2075: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2075 @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ SY2075 @ SV502 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1908]) ).
thf(2245,plain,
! [SV759: set_a > set_a,SV503: set_set_a,SV191: set_a] :
( ( ~ ( member_set_a @ SV191 @ SV503 )
| ( member_set_a @ ( SV759 @ SV191 ) @ ( image_set_a_set_a @ SV759 @ SV503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1909]) ).
thf(2246,plain,
! [SV760: produc715398134_a_a_e > set_a,SV504: set_Pr204296108_a_a_e,SV192: set_Pr204296108_a_a_e] :
( ( ! [SY2398: produc715398134_a_a_e > set_a] :
( ( SV192 != SV504 )
| ~ ! [SY2399: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2399 @ SV504 )
| ( ( SV760 @ SY2399 )
= ( SY2398 @ SY2399 ) ) )
| ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SY2398 @ SV504 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1910]) ).
thf(2247,plain,
! [SV761: $o > set_a,SV505: $o > set_a,SV193: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV193 @ SV505 )
| ( SV505 != SV761 )
| ( ord_less_eq_o_set_a @ SV193 @ SV761 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2248,plain,
! [SV506: set_Pr204296108_a_a_e,SV194: set_a] :
( ( ( ~ ( member_set_a @ SV194 @ ( domain_set_a_a_e @ SV506 ) ) )
= $true )
| ( ( ~ ! [SY2081: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV194 @ SY2081 ) @ SV506 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1912]) ).
thf(2249,plain,
! [SV762: produc715398134_a_a_e > produc715398134_a_a_e,SV507: set_Pr204296108_a_a_e,SV195: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV195 @ SV507 )
| ( member1258382221_a_a_e @ ( SV762 @ SV195 ) @ ( image_625620211_a_a_e @ SV762 @ SV507 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1913]) ).
thf(2250,plain,
! [SV763: set_a,SV508: set_set_a,SV196: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV196 @ SV508 )
| ~ ( member_set_a @ SV763 @ SV196 )
| ( member_set_a @ SV763 @ SV508 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1914]) ).
thf(2251,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= ( ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1915]) ).
thf(2252,plain,
! [SV510: produc715398134_a_a_e,SV198: produc715398134_a_a_e > $o] :
( ( ( ~ ! [SY1497: set_a,SY1498: a > e] : ( SV198 @ ( produc1134456688_a_a_e @ SY1497 @ SY1498 ) ) )
= $true )
| ( ( SV198 @ SV510 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1916]) ).
thf(2253,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= ( ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2254,plain,
! [SV766: set_set_a > set_a,SV512: set_set_set_a,SV200: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV200 @ SV512 )
| ( ord_le318720350_set_a @ ( image_402591269_set_a @ SV766 @ SV200 ) @ ( image_402591269_set_a @ SV766 @ SV512 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2255,plain,
! [SV767: set_a,SV513: set_a,SV201: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV201 @ SV513 )
| ~ ( ord_less_eq_set_a @ SV513 @ SV767 )
| ( ord_less_eq_set_a @ SV201 @ SV767 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1919]) ).
thf(2256,plain,
! [SV768: a,SV514: set_a,SV202: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV202 @ SV514 )
| ~ ( member_a @ SV768 @ SV202 )
| ( member_a @ SV768 @ SV514 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1920]) ).
thf(2257,plain,
! [SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV203: produc715398134_a_a_e > set_a] :
( ( ~ ! [SY2403: set_a] :
( ~ ( member_set_a @ SY2403 @ ( image_64240033_set_a @ SV203 @ SV515 ) )
| ( SV769 @ SY2403 ) )
| ! [SY2404: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2404 @ SV515 )
| ( SV769 @ ( SV203 @ SY2404 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1921]) ).
thf(2258,plain,
! [SV770: set_a,SV516: set_set_a,SV204: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV204 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
| ~ ( member_set_a @ SV770 @ SV204 )
| ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2259,plain,
! [SV517: produc715398134_a_a_e,SV205: produc715398134_a_a_e > $o] :
( ( ( ~ ! [SY1516: set_a,SY1517: a > e] : ( SV205 @ ( produc1134456688_a_a_e @ SY1516 @ SY1517 ) ) )
= $true )
| ( ( SV205 @ SV517 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1923]) ).
thf(2260,plain,
! [SV771: set_set_set_a > set_a,SV518: set_set_set_a,SV206: set_set_set_a] :
( ( ! [SY2405: set_a] :
( ~ ( ord_le2103863998_set_a @ SV206 @ SV518 )
| ( ( SV771 @ SV518 )
!= SY2405 )
| ~ ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) )
| ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SY2405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1924]) ).
thf(2261,plain,
! [SV772: a,SV519: a > set_a,SV207: set_a] :
( ( ! [SY2408: set_a] :
( ( SV207
!= ( SV519 @ SV772 ) )
| ~ ( member_a @ SV772 @ SY2408 )
| ( member_set_a @ SV207 @ ( image_a_set_a @ SV519 @ SY2408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1925]) ).
thf(2262,plain,
! [SV520: set_a,SV208: set_a] :
( ( ( ~ ( member_set_a @ SV208 @ ( pow_a @ SV520 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV208 @ SV520 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1926]) ).
thf(2263,plain,
! [SV773: set_set_a,SV521: set_a > a,SV209: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
| ~ ! [SY2409: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2409 @ SV773 )
| ( SV209
!= ( image_set_a_a @ SV521 @ SY2409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1927]) ).
thf(2264,plain,
! [SV774: produc715398134_a_a_e,SV522: set_Pr204296108_a_a_e,SV210: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV210 @ SV522 )
| ~ ( member1258382221_a_a_e @ SV774 @ SV210 )
| ( member1258382221_a_a_e @ SV774 @ SV522 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1928]) ).
thf(2265,plain,
! [SV523: set_a,SV211: set_a] :
( ( ( ~ ( ( SV211 != SV523 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV523 @ SV211 )
| ~ ! [SY2109: a] :
~ ~ ( ~ ( member_a @ SY2109 @ SV211 )
| ~ ~ ( member_a @ SY2109 @ SV523 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1929]) ).
thf(2266,plain,
! [SV524: set_set_a,SV212: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV212 @ SV524 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV524 @ SV212 )
| ( SV212 = SV524 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1930]) ).
thf(2267,plain,
! [SV525: set_Pr204296108_a_a_e] :
( ( ! [SV775: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ SV525 @ SV775 )
= ( ! [SY2410: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2410 @ SV525 )
| ( member1258382221_a_a_e @ SY2410 @ SV775 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1931]) ).
thf(2268,plain,
! [SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 )
= ( ^ [SY2110: set_Pr204296108_a_a_e] :
! [SY2111: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2111 @ SV525 )
| ( member1258382221_a_a_e @ SY2111 @ SY2110 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1931]) ).
thf(2269,plain,
! [SV526: set_Pr204296108_a_a_e] :
( ( ! [SV776: set_Pr204296108_a_a_e] :
( ( SV526 = SV776 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV776 )
| ~ ( ord_le700723212_a_a_e @ SV776 @ SV526 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1932]) ).
thf(2270,plain,
! [SV526: set_Pr204296108_a_a_e] :
( ( ( ^ [SY2112: set_Pr204296108_a_a_e] : ( SV526 = SY2112 ) )
= ( ^ [SY2113: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SY2113 )
| ~ ( ord_le700723212_a_a_e @ SY2113 @ SV526 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1932]) ).
thf(2271,plain,
! [SV527: set_set_set_a,SV215: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV215 @ SV527 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV527 @ SV215 )
| ( SV215 = SV527 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1933]) ).
thf(2272,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ~ ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
| ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
| ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1934]) ).
thf(2273,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= ( ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1934]) ).
thf(2274,plain,
! [SV777: produc715398134_a_a_e,SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV217 @ SV529 )
| ~ ~ ( member1258382221_a_a_e @ SV777 @ SV217 )
| ~ ( member1258382221_a_a_e @ SV777 @ SV529 )
| ( SV217 != SV529 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2275,plain,
! [SV778: set_Pr204296108_a_a_e,SV530: a > e,SV218: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV218 @ SV530 ) @ SV778 )
| ( member_set_a @ SV218 @ ( domain_set_a_a_e @ SV778 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1936]) ).
thf(2276,plain,
! [SV779: set_a,SV531: set_set_a,SV219: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV219 @ SV531 )
| ~ ~ ( member_set_a @ SV779 @ SV219 )
| ~ ( member_set_a @ SV779 @ SV531 )
| ( SV219 != SV531 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1937]) ).
thf(2277,plain,
! [SV780: a > e,SV532: set_a,SV220: produc715398134_a_a_e > $o] :
( ( ~ ( produc952037978_a_e_o @ SV220 @ SV532 @ SV780 )
| ( SV220 @ ( produc1134456688_a_a_e @ SV532 @ SV780 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2278,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ( ~ ( SV221 @ SV533 ) )
= $true )
| ( ( ~ ! [SY2119: set_a] :
( ~ ( SV221 @ SY2119 )
| ( ord_less_eq_set_a @ SY2119 @ SV533 ) )
| ( ( order_Greatest_set_a @ SV221 )
= SV533 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1939]) ).
thf(2279,plain,
! [SV781: set_Pr305929312_set_a,SV534: a > e,SV222: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV222 @ SV534 ) @ ( converse_a_e_set_a @ SV781 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV534 @ SV222 ) @ SV781 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2280,plain,
! [SV782: produc715398134_a_a_e,SV535: set_Pr204296108_a_a_e,SV223: produc715398134_a_a_e] :
( ( ! [SY2411: produc715398134_a_a_e > produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SV223 @ SV535 )
| ( SV782
!= ( SY2411 @ SV223 ) )
| ( member1258382221_a_a_e @ SV782 @ ( image_625620211_a_a_e @ SY2411 @ SV535 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(2281,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= ( ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1942]) ).
thf(2282,plain,
! [SV537: set_a] :
( ( ! [SV784: set_a] :
( ( SV537 = SV784 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV784 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV784 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1943]) ).
thf(2283,plain,
! [SV537: set_a] :
( ( ( ^ [SY2125: set_a] : ( SV537 = SY2125 ) )
= ( ^ [SY2126: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SY2126 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SY2126 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1943]) ).
thf(2284,plain,
! [SV538: set_a,SV226: set_a] :
( ( ( SV226 != SV538 )
= $true )
| ( ( ord_less_eq_set_a @ SV226 @ SV538 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1944]) ).
thf(2285,plain,
! [SV539: set_Pr204296108_a_a_e,SV227: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ord_le700723212_a_a_e @ SV227 @ SV539 ) )
= $true )
| ( ( ~ ! [SY2127: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2127 @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ SY2127 @ SV539 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1945]) ).
thf(2286,plain,
! [SV540: set_Pr204296108_a_a_e] :
( ( ! [SV785: set_Pr204296108_a_a_e] :
( ( SV540 = SV785 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV785 )
| ~ ( ord_le700723212_a_a_e @ SV785 @ SV540 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1946]) ).
thf(2287,plain,
! [SV540: set_Pr204296108_a_a_e] :
( ( ( ^ [SY2128: set_Pr204296108_a_a_e] : ( SV540 = SY2128 ) )
= ( ^ [SY2129: set_Pr204296108_a_a_e] :
~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SY2129 )
| ~ ( ord_le700723212_a_a_e @ SY2129 @ SV540 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1946]) ).
thf(2288,plain,
! [SV541: set_a,SV229: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV229 @ SV541 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV541 @ SV229 )
| ( SV229 = SV541 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1947]) ).
thf(2289,plain,
! [SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a] :
( ( ! [SY2413: $o > set_a] :
( ( SV230
!= ( SV542 @ SV786 ) )
| ~ ( ord_less_eq_o_set_a @ SV786 @ SY2413 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SY2413 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2290,plain,
! [SV787: set_Pr204296108_a_a_e,SV543: produc715398134_a_a_e > set_a,SV231: set_a] :
( ( ~ ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
| ~ ! [SY2416: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2416 @ SV787 )
| ( SV231
!= ( SV543 @ SY2416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1949]) ).
thf(2291,plain,
! [SV788: produc715398134_a_a_e > set_a,SV544: set_Pr204296108_a_a_e,SV232: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV232 @ SV544 )
| ( member_set_a @ ( SV788 @ SV232 ) @ ( image_64240033_set_a @ SV788 @ SV544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1950]) ).
thf(2292,plain,
! [SV545: set_a] :
( ( ! [SV789: set_a] :
( ( ord_less_eq_set_a @ SV545 @ SV789 )
= ( ! [SY2417: a] :
( ~ ( member_a @ SY2417 @ SV545 )
| ( member_a @ SY2417 @ SV789 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1951]) ).
thf(2293,plain,
! [SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 )
= ( ^ [SY2137: set_a] :
! [SY2138: a] :
( ~ ( member_a @ SY2138 @ SV545 )
| ( member_a @ SY2138 @ SY2137 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1951]) ).
thf(2294,plain,
! [SV790: a,SV546: a > a,SV234: a] :
( ( ! [SY2418: set_a] :
( ( SV234
!= ( SV546 @ SV790 ) )
| ~ ( member_a @ SV790 @ SY2418 )
| ( member_a @ SV234 @ ( image_a_a @ SV546 @ SY2418 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1952]) ).
thf(2295,plain,
! [SV547: set_a] :
( ( ! [SV791: set_a] :
( ( SV547 = SV791 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV791 )
| ~ ( ord_less_eq_set_a @ SV791 @ SV547 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1953]) ).
thf(2296,plain,
! [SV547: set_a] :
( ( ( ^ [SY2141: set_a] : ( SV547 = SY2141 ) )
= ( ^ [SY2142: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV547 @ SY2142 )
| ~ ( ord_less_eq_set_a @ SY2142 @ SV547 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1953]) ).
thf(2297,plain,
! [SV236: produc715398134_a_a_e] :
( ( ~ ~ ! [SY2419: a > e] :
( SV236
!= ( produc1134456688_a_a_e @ ( sK4_SY1585 @ SV236 ) @ SY2419 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1954]) ).
thf(2298,plain,
! [SV548: set_a_e,SV237: set_a_e] :
( ( ( ~ ! [SY2143: a > e] :
( ~ ( member_a_e @ SY2143 @ SV237 )
| ( member_a_e @ SY2143 @ SV548 ) ) )
= $true )
| ( ( ord_less_eq_set_a_e @ SV237 @ SV548 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2299,plain,
! [SV549: set_set_a] :
( ( ! [SV792: set_set_a] :
( ( SV549 = SV792 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV792 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV792 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1956]) ).
thf(2300,plain,
! [SV549: set_set_a] :
( ( ( ^ [SY2144: set_set_a] : ( SV549 = SY2144 ) )
= ( ^ [SY2145: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SY2145 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SY2145 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1956]) ).
thf(2301,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a3 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(2302,plain,
! [SV550: set_Pr305929312_set_a,SV239: set_Pr305929312_set_a] :
( ( ( ~ ! [SY2146: produc1965228714_set_a] :
( ~ ( member360729153_set_a @ SY2146 @ SV239 )
| ( member360729153_set_a @ SY2146 @ SV550 ) ) )
= $true )
| ( ( ord_le802356416_set_a @ SV239 @ SV550 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1958]) ).
thf(2303,plain,
! [SV793: set_set_a,SV551: set_Pr204296108_a_a_e,SV240: produc715398134_a_a_e > set_a] :
( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV240 @ SV551 ) @ SV793 )
| ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV240 ) @ ( finite33065488_a_a_e @ SV551 ) ) @ ( finite_Fpow_set_a @ SV793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2304,plain,
! [SV794: set_a,SV552: set_set_a,SV241: set_a] :
( ( ! [SY2420: set_a > set_a] :
( ~ ( member_set_a @ SV241 @ SV552 )
| ( SV794
!= ( SY2420 @ SV241 ) )
| ( member_set_a @ SV794 @ ( image_set_a_set_a @ SY2420 @ SV552 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1960]) ).
thf(2305,plain,
! [SV553: set_set_set_a,SV242: set_set_set_a] :
( ( ( ~ ! [SY2150: set_set_a] :
( ~ ( member_set_set_a @ SY2150 @ SV242 )
| ( member_set_set_a @ SY2150 @ SV553 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV242 @ SV553 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1961]) ).
thf(2306,plain,
! [SV795: set_Pr305929312_set_a,SV554: set_a,SV243: a > e] :
( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV243 @ SV554 ) @ SV795 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV554 @ SV243 ) @ ( converse_a_e_set_a @ SV795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(2307,plain,
! [SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ! [SY2421: a > e] :
( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SY2421 ) )
= ( ~ ( ( SV244 != SV796 )
| ( SV555 != SY2421 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(2308,plain,
! [SV797: set_a,SV556: set_a,SV245: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV245 @ SV556 )
| ( SV556 != SV797 )
| ( ord_less_eq_set_a @ SV245 @ SV797 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2309,plain,
! [SV798: a > set_a,SV557: set_a,SV246: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV246 @ SV557 )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SV798 @ SV246 ) @ ( image_a_set_a @ SV798 @ SV557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2310,plain,
! [SV799: produc715398134_a_a_e > produc715398134_a_a_e,SV558: set_Pr204296108_a_a_e,SV247: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV247 @ SV558 )
| ( member1258382221_a_a_e @ ( SV799 @ SV247 ) @ ( image_625620211_a_a_e @ SV799 @ SV558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2311,plain,
! [SV248: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV248 @ c )
= $false )
| ( ( ! [SY1611: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY1611 @ c )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV248 ) @ ( produc1040928388_a_a_e @ SY1611 ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SY1611 ) @ ( produc1040928388_a_a_e @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(2312,plain,
! [SV800: set_a > set_a,SV559: set_a,SV249: set_a] :
( ( ! [SY2422: set_a] :
( ~ ( ord_less_eq_set_a @ SV249 @ SV559 )
| ( ( SV800 @ SV559 )
!= SY2422 )
| ~ ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) )
| ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SY2422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2313,plain,
! [SV801: produc715398134_a_a_e,SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e] :
( ( ~ ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
| ~ ( member1258382221_a_a_e @ SV801 @ SV250 )
| ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2314,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= ( ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2315,plain,
! [SV803: set_set_a > set_a,SV562: set_set_a,SV252: set_set_a] :
( ( ! [SY2426: set_a] :
( ~ ( ord_le318720350_set_a @ SV252 @ SV562 )
| ( ( SV803 @ SV562 )
!= SY2426 )
| ~ ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) )
| ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SY2426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2316,plain,
! [SV804: $o > set_a,SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a] :
( ( ! [SY2429: $o > set_a] :
( ( SV253
!= ( SV563 @ SV804 ) )
| ~ ( ord_less_eq_o_set_a @ SV804 @ SY2429 )
| ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SY2429 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2317,plain,
! [SV564: set_set_set_a,SV254: set_set_set_a] :
( ( ( SV254 != SV564 )
= $true )
| ( ( ord_le2103863998_set_a @ SV254 @ SV564 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1973]) ).
thf(2318,plain,
! [SV565: set_a,SV255: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV255 @ SV565 ) )
= $true )
| ( ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= ( SV565 = SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1974]) ).
thf(2319,plain,
! [SV256: set_Pr204296108_a_a_e] :
( ( ( ! [SY1634: produc715398134_a_a_e] : ( member1258382221_a_a_e @ SY1634 @ SV256 ) )
= $false )
| ( ( top_to1601855068_a_a_e = SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(2320,plain,
! [SV805: a > e,SV566: set_a,SV257: set_a > ( a > e ) > $o] :
( ( ! [SY2432: produc715398134_a_a_e] :
( ~ ( SV257 @ SV566 @ SV805 )
| ( SY2432
!= ( produc1134456688_a_a_e @ SV566 @ SV805 ) )
| ( SV257 @ ( produc1040928388_a_a_e @ SY2432 ) @ ( produc317566658_a_a_e @ SY2432 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2321,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ~ ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
| ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1977]) ).
thf(2322,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= ( ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1977]) ).
thf(2323,plain,
! [SV568: set_set_a,SV259: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV259 @ SV568 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV568 @ SV259 )
| ( SV259 = SV568 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1978]) ).
thf(2324,plain,
! [SV569: set_a,SV260: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV260 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
= $true )
| ( ( ~ ! [SY2175: produc715398134_a_a_e] :
( SV569
!= ( SV260 @ SY2175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1979]) ).
thf(2325,plain,
! [SV806: produc715398134_a_a_e,SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e] :
( ( ~ ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
| ( ord_le700723212_a_a_e @ SV570 @ SV261 ) )
| ~ ~ ( member1258382221_a_a_e @ SV806 @ SV261 )
| ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2326,plain,
! [SV807: set_a > produc715398134_a_a_e,SV571: set_set_a,SV262: set_a] :
( ( ~ ( member_set_a @ SV262 @ SV571 )
| ( member1258382221_a_a_e @ ( SV807 @ SV262 ) @ ( image_210900495_a_a_e @ SV807 @ SV571 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2327,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= ( ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2328,plain,
! [SV809: set_a,SV573: set_a > set_a,SV264: set_a] :
( ( ! [SY2434: set_a] :
( ( SV264
!= ( SV573 @ SV809 ) )
| ~ ( ord_less_eq_set_a @ SV809 @ SY2434 )
| ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SY2434 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2329,plain,
! [SV810: a,SV574: set_a,SV265: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV265 @ SV574 )
| ~ ~ ( member_a @ SV810 @ SV265 )
| ~ ( member_a @ SV810 @ SV574 )
| ( SV265 != SV574 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2330,plain,
! [SV575: set_set_a,SV266: set_set_a] :
( ( ( ~ ~ ( ord_le318720350_set_a @ SV266 @ SV575 ) )
= $true )
| ( ( ~ ! [SY2185: set_a] :
~ ~ ( ~ ( member_set_a @ SY2185 @ SV266 )
| ~ ~ ( member_set_a @ SY2185 @ SV575 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1985]) ).
thf(2331,plain,
! [SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ! [SY2437: a > e] :
( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SY2437 ) )
= ( ~ ( ( SV267 != SV811 )
| ( SV576 != SY2437 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2332,plain,
! [SV812: a,SV577: a > a > e,SV268: a > e] :
( ( ! [SY2438: set_a] :
( ( SV268
!= ( SV577 @ SV812 ) )
| ~ ( member_a @ SV812 @ SY2438 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SY2438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2333,plain,
! [SV813: produc715398134_a_a_e,SV578: set_a > ( a > e ) > set_set_a,SV269: set_a] :
( ( ~ ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
| ~ ! [SY2439: set_a,SY2440: a > e] :
( ( SV813
!= ( produc1134456688_a_a_e @ SY2439 @ SY2440 ) )
| ~ ( member_set_a @ SV269 @ ( SV578 @ SY2439 @ SY2440 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2334,plain,
! [SV814: set_set_set_a,SV579: set_set_a > set_set_a,SV270: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
| ~ ! [SY2441: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2441 @ SV814 )
| ( SV270
!= ( image_1956910981_set_a @ SV579 @ SY2441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2335,plain,
! [SV815: set_a,SV580: set_a > set_a,SV271: set_a] :
( ( ! [SY2442: a > e,SY2443: set_a > a > e,SY2444: set_set_a] :
( ( SV271
!= ( SV580 @ SV815 ) )
| ( SY2442
!= ( SY2443 @ SV815 ) )
| ~ ( member_set_a @ SV815 @ SY2444 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SY2442 ) @ ( bNF_Gr1872575811_a_a_e @ SY2444 @ SV580 @ SY2443 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1990]) ).
thf(2336,plain,
! [SV581: produc715398134_a_a_e,SV272: ( a > e ) > set_a > $o] :
( ( ( ~ ( SV272 @ ( produc317566658_a_a_e @ SV581 ) @ ( produc1040928388_a_a_e @ SV581 ) ) )
= $true )
| ( ( ~ ! [SY1678: set_a,SY1679: a > e] :
~ ( SV272 @ SY1679 @ SY1678 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1991]) ).
thf(2337,plain,
! [SV816: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV273: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
| ~ ! [SY2445: set_a,SY2446: a > e] :
( ( SV816
!= ( produc1134456688_a_a_e @ SY2445 @ SY2446 ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ SY2445 @ SY2446 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2338,plain,
! [SV583: set_Pr204296108_a_a_e,SV274: a > e] :
( ( ( ~ ( member_a_e @ SV274 @ ( range_set_a_a_e @ SV583 ) ) )
= $true )
| ( ( ~ ! [SY2204: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2204 @ SV274 ) @ SV583 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1993]) ).
thf(2339,plain,
! [SV817: ( $o > set_a ) > set_a,SV584: $o > set_a,SV275: $o > set_a] :
( ( ! [SY2447: set_a] :
( ~ ( ord_less_eq_o_set_a @ SV275 @ SV584 )
| ( ( SV817 @ SV584 )
!= SY2447 )
| ~ ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) )
| ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SY2447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1994]) ).
thf(2340,plain,
! [SV585: set_a,SV276: set_a] :
( ( ( ~ ~ ( ord_less_eq_set_a @ SV276 @ SV585 ) )
= $true )
| ( ( ~ ! [SY2209: a] :
~ ~ ( ~ ( member_a @ SY2209 @ SV276 )
| ~ ~ ( member_a @ SY2209 @ SV585 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1995]) ).
thf(2341,plain,
! [SV818: a,SV586: set_a,SV277: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV277 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
| ~ ( member_a @ SV818 @ SV277 )
| ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2342,plain,
! [SV587: set_set_a,SV278: set_set_a] :
( ( ( SV278 != SV587 )
= $true )
| ( ( ord_le318720350_set_a @ SV278 @ SV587 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1997]) ).
thf(2343,plain,
! [SV819: produc715398134_a_a_e,SV588: set_set_a,SV279: set_a] :
( ( ! [SY2450: set_a > produc715398134_a_a_e] :
( ~ ( member_set_a @ SV279 @ SV588 )
| ( SV819
!= ( SY2450 @ SV279 ) )
| ( member1258382221_a_a_e @ SV819 @ ( image_210900495_a_a_e @ SY2450 @ SV588 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2344,plain,
! [SV280: produc1965228714_set_a] :
( ( ~ ~ ! [SY2451: set_a] :
( SV280
!= ( produc479206876_set_a @ ( sK5_SY1699 @ SV280 ) @ SY2451 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1999]) ).
thf(2345,plain,
! [SV589: $o > set_a] :
( ( ! [SV820: $o > set_a] :
( ( SV589 = SV820 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV820 )
| ~ ( ord_less_eq_o_set_a @ SV820 @ SV589 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2000]) ).
thf(2346,plain,
! [SV589: $o > set_a] :
( ( ( ^ [SY2213: $o > set_a] : ( SV589 = SY2213 ) )
= ( ^ [SY2214: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SY2214 )
| ~ ( ord_less_eq_o_set_a @ SY2214 @ SV589 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2000]) ).
thf(2347,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
| ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2001]) ).
thf(2348,plain,
! [SV821: produc715398134_a_a_e > set_a,SV590: set_Pr204296108_a_a_e,SV283: set_Pr204296108_a_a_e] :
( ( ! [SY2452: produc715398134_a_a_e > set_a,SY2453: set_set_a > set_a] :
( ( SV283 != SV590 )
| ~ ! [SY2454: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2454 @ SV590 )
| ( ( SV821 @ SY2454 )
= ( SY2452 @ SY2454 ) ) )
| ( ( SY2453 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SY2453 @ ( image_64240033_set_a @ SY2452 @ SV590 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2349,plain,
! [SV822: set_Pr204296108_a_a_e,SV591: set_a > produc715398134_a_a_e,SV284: set_set_a] :
( ( ~ ! [SY2455: set_a] :
( ~ ( member_set_a @ SY2455 @ SV284 )
| ( member1258382221_a_a_e @ ( SV591 @ SY2455 ) @ SV822 ) )
| ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SV822 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2350,plain,
! [SV823: set_a,SV592: set_set_a,SV285: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV285 @ SV592 )
| ~ ( member_set_a @ SV823 @ SV285 )
| ( member_set_a @ SV823 @ SV592 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2351,plain,
! [SV593: set_a > ( a > e ) > $o,SV286: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV286 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV593 ) ) ) )
= $true )
| ( ( SV593 @ ( produc1040928388_a_a_e @ SV286 ) @ ( produc317566658_a_a_e @ SV286 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2006]) ).
thf(2352,plain,
! [SV594: set_Pr204296108_a_a_e] :
( ( ! [SV824: set_Pr204296108_a_a_e] :
( ( ord_le700723212_a_a_e @ SV594 @ SV824 )
= ( ! [SY2456: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2456 @ SV594 )
| ( member1258382221_a_a_e @ SY2456 @ SV824 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2007]) ).
thf(2353,plain,
! [SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 )
= ( ^ [SY2222: set_Pr204296108_a_a_e] :
! [SY2223: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2223 @ SV594 )
| ( member1258382221_a_a_e @ SY2223 @ SY2222 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2007]) ).
thf(2354,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= ( ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2355,plain,
! [SV596: set_Pr204296108_a_a_e,SV289: set_a] :
( ( ( ~ ( member_set_a @ SV289 @ ( domain_set_a_a_e @ SV596 ) ) )
= $true )
| ( ( ~ ! [SY2227: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV289 @ SY2227 ) @ SV596 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2009]) ).
thf(2356,plain,
! [SV826: set_set_a,SV597: set_set_a,SV290: set_set_a] :
( ( ( SV290 != SV597 )
| ~ ( ord_le318720350_set_a @ SV597 @ SV826 )
| ( ord_le318720350_set_a @ SV290 @ SV826 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2357,plain,
! [SV827: a > e,SV598: set_a,SV291: produc715398134_a_a_e > $o] :
( ( ~ ( SV291 @ ( produc1134456688_a_a_e @ SV598 @ SV827 ) )
| ( produc952037978_a_e_o @ SV291 @ SV598 @ SV827 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2358,plain,
! [SV828: set_set_a,SV599: set_Pr204296108_a_a_e,SV292: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV292 @ SV599 )
!= SV828 )
| ( ( image_1441218763_set_a @ ( image_64240033_set_a @ SV292 ) @ ( pow_Pr328302361_a_a_e @ SV599 ) )
= ( pow_set_a @ SV828 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2359,plain,
! [SV600: set_set_set_a] :
( ( ! [SV829: set_set_set_a] :
( ( SV600 = SV829 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV829 )
| ~ ( ord_le2103863998_set_a @ SV829 @ SV600 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2013]) ).
thf(2360,plain,
! [SV600: set_set_set_a] :
( ( ( ^ [SY2231: set_set_set_a] : ( SV600 = SY2231 ) )
= ( ^ [SY2232: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SY2232 )
| ~ ( ord_le2103863998_set_a @ SY2232 @ SV600 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2013]) ).
thf(2361,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= ( ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2362,plain,
! [SV602: set_Pr204296108_a_a_e,SV295: a > e] :
( ( ( ~ ( member_a_e @ SV295 @ ( range_set_a_a_e @ SV602 ) ) )
= $true )
| ( ( ~ ! [SY2235: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2235 @ SV295 ) @ SV602 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2015]) ).
thf(2363,plain,
! [SV831: set_a > set_a,SV603: set_set_a,SV296: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV296 @ SV603 )
| ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV831 @ SV296 ) @ ( image_set_a_set_a @ SV831 @ SV603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2016]) ).
thf(2364,plain,
! [SV604: set_set_set_a] :
( ( ! [SV832: set_set_set_a] :
( ( SV604 = SV832 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV832 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV832 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2017]) ).
thf(2365,plain,
! [SV604: set_set_set_a] :
( ( ( ^ [SY2237: set_set_set_a] : ( SV604 = SY2237 ) )
= ( ^ [SY2238: set_set_set_a] :
~ ( ~ ( ord_le2103863998_set_a @ SY2238 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SY2238 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2017]) ).
thf(2366,plain,
! [SV833: set_a,SV605: set_a > set_a,SV298: set_a] :
( ( ! [SY2460: set_set_a] :
( ( SV298
!= ( SV605 @ SV833 ) )
| ~ ( member_set_a @ SV833 @ SY2460 )
| ( member_set_a @ SV298 @ ( image_set_a_set_a @ SV605 @ SY2460 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2367,plain,
! [SV606: set_a] :
( ( ! [SV834: set_a] :
( ( SV606 = SV834 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV834 )
| ~ ( ord_less_eq_set_a @ SV834 @ SV606 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2019]) ).
thf(2368,plain,
! [SV606: set_a] :
( ( ( ^ [SY2241: set_a] : ( SV606 = SY2241 ) )
= ( ^ [SY2242: set_a] :
~ ( ~ ( ord_less_eq_set_a @ SV606 @ SY2242 )
| ~ ( ord_less_eq_set_a @ SY2242 @ SV606 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2019]) ).
thf(2369,plain,
! [SV607: set_set_a] :
( ( ! [SV835: set_set_a] :
( ( SV607 = SV835 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV835 )
| ~ ( ord_le318720350_set_a @ SV835 @ SV607 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2020]) ).
thf(2370,plain,
! [SV607: set_set_a] :
( ( ( ^ [SY2243: set_set_a] : ( SV607 = SY2243 ) )
= ( ^ [SY2244: set_set_a] :
~ ( ~ ( ord_le318720350_set_a @ SV607 @ SY2244 )
| ~ ( ord_le318720350_set_a @ SY2244 @ SV607 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2020]) ).
thf(2371,plain,
! [SV836: produc715398134_a_a_e > set_a,SV608: set_Pr204296108_a_a_e,SV301: set_Pr204296108_a_a_e] :
( ( ~ ( ord_le700723212_a_a_e @ SV301 @ SV608 )
| ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV836 @ SV301 ) @ ( image_64240033_set_a @ SV836 @ SV608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2372,plain,
! [SV609: set_set_set_a,SV302: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV302 @ SV609 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV609 @ SV302 )
| ( SV302 = SV609 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2022]) ).
thf(2373,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= ( ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2374,plain,
! [SV304: produc715398134_a_a_e] :
( ( ! [SY2462: a > e] :
( SV304
!= ( produc1134456688_a_a_e @ ( sK6_SY1754 @ SV304 ) @ SY2462 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2024]) ).
thf(2375,plain,
! [SV838: set_a_e,SV611: a > a > e,SV305: set_a] :
( ( ~ ! [SY2463: a] :
( ~ ( member_a @ SY2463 @ SV305 )
| ( member_a_e @ ( SV611 @ SY2463 ) @ SV838 ) )
| ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SV838 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2376,plain,
! [SV839: set_set_a > set_set_set_a,SV612: set_set_a,SV306: set_set_a] :
( ( ! [SY2464: set_set_set_a] :
( ~ ( ord_le318720350_set_a @ SV306 @ SV612 )
| ( ( SV839 @ SV612 )
!= SY2464 )
| ~ ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) )
| ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SY2464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2377,plain,
! [SV840: ( a > e ) > $o,SV613: set_a,SV307: set_a > $o] :
( ( ! [SY2467: a > e] :
( ~ ( SV307 @ SV613 )
| ~ ( SV840 @ SY2467 )
| ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SY2467 ) ) )
| ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SY2467 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2378,plain,
! [SV841: set_a > produc715398134_a_a_e,SV614: set_set_a,SV308: set_a] :
( ( ~ ( member_set_a @ SV308 @ SV614 )
| ( member1258382221_a_a_e @ ( SV841 @ SV308 ) @ ( image_210900495_a_a_e @ SV841 @ SV614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2379,plain,
! [SV842: set_set_a,SV615: a > set_a,SV309: set_a] :
( ( ~ ! [SY2468: a] :
( ~ ( member_a @ SY2468 @ SV309 )
| ( member_set_a @ ( SV615 @ SY2468 ) @ SV842 ) )
| ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SV842 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2380,plain,
! [SV616: $o > set_a,SV310: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV310 @ SV616 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV616 @ SV310 )
| ( SV310 = SV616 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2030]) ).
thf(2381,plain,
! [SV843: set_Pr204296108_a_a_e,SV617: set_a,SV311: a > e] :
( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV311 @ SV617 ) @ ( converse_set_a_a_e @ SV843 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV617 @ SV311 ) @ SV843 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2382,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ( ~ ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) ) )
= $true )
| ( ( ~ ! [SY2260: set_a,SY2261: a > e] :
( ( SV312
!= ( produc479206876_set_a @ SY2261 @ SY2260 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2260 @ SY2261 ) @ SV618 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2032]) ).
thf(2383,plain,
! [SV844: set_a,SV619: a > e,SV313: set_a] :
( ( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV313 @ SV619 ) )
!= SV844 )
| ( SV313 = SV844 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2384,plain,
! [SV845: set_a,SV620: set_a,SV314: set_a] :
( ( ( SV314 != SV620 )
| ~ ( ord_less_eq_set_a @ SV314 @ SV845 )
| ( ord_less_eq_set_a @ SV620 @ SV845 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2385,plain,
! [SV621: $o > set_a,SV315: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV315 @ SV621 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV621 @ SV315 )
| ( SV315 = SV621 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2035]) ).
thf(2386,plain,
! [SV846: set_Pr204296108_a_a_e,SV622: a > e,SV316: set_a] :
( ( ! [SY2469: set_a > set_a,SY2470: ( a > e ) > a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV316 @ SV622 ) @ SV846 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SY2469 @ SV316 ) @ ( SY2470 @ SV622 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SY2469 @ SY2470 ) @ SV846 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2387,plain,
! [SV623: set_Pr204296108_a_a_e,SV317: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV317 @ SV623 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV623 @ SV317 )
| ( SV317 = SV623 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2388,plain,
! [SV624: a > $o,SV318: a > $o] :
( ( ( ~ ! [SY2267: a] :
( ~ ( SV318 @ SY2267 )
| ( SV624 @ SY2267 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SV624 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2038]) ).
thf(2389,plain,
! [SV847: a > e,SV625: set_a,SV319: produc715398134_a_a_e] :
( ( ( SV319
!= ( produc1134456688_a_a_e @ SV625 @ SV847 ) )
| ( ( produc1040928388_a_a_e @ SV319 )
= SV625 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2390,plain,
! [SV626: set_set_a,SV320: set_set_a] :
( ( ( ~ ( ( SV320 != SV626 ) ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV626 @ SV320 )
| ~ ! [SY2269: set_a] :
~ ~ ( ~ ( member_set_a @ SY2269 @ SV320 )
| ~ ~ ( member_set_a @ SY2269 @ SV626 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2040]) ).
thf(2391,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a] :
( ( ~ ~ ! [SY2471: set_a] :
~ ~ ( ~ ( member_set_a @ SY2471 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SV848 @ SY2471 ) )
| ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2392,plain,
! [SV628: set_Pr204296108_a_a_e,SV322: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV322 @ SV628 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV628 @ SV322 )
| ( SV322 = SV628 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2042]) ).
thf(2393,plain,
! [SV849: set_set_a,SV629: set_set_a,SV323: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV323 @ SV629 )
| ~ ( ord_le318720350_set_a @ SV849 @ SV323 )
| ( ord_le318720350_set_a @ SV849 @ SV629 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2394,plain,
! [SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e] :
( ( ! [SY2473: produc715398134_a_a_e] :
( ~ ! [SY2474: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2474 @ SV324 )
| ( member_set_a @ ( SV630 @ SY2474 ) @ SV850 ) )
| ~ ( member1258382221_a_a_e @ SY2473 @ SV324 )
| ( member_set_a @ ( SV630 @ SY2473 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2395,plain,
! [SV631: set_Pr204296108_a_a_e,SV325: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2277: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2277 @ SV325 )
| ( member1258382221_a_a_e @ SY2277 @ SV631 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV325 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2045]) ).
thf(2396,plain,
! [SV632: $o > set_a] :
( ( ! [SV851: $o > set_a] :
( ( SV632 = SV851 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV851 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV851 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2046]) ).
thf(2397,plain,
! [SV632: $o > set_a] :
( ( ( ^ [SY2278: $o > set_a] : ( SV632 = SY2278 ) )
= ( ^ [SY2279: $o > set_a] :
~ ( ~ ( ord_less_eq_o_set_a @ SY2279 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SY2279 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2046]) ).
thf(2398,plain,
! [SV852: a,SV633: set_a,SV327: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV327 @ SV633 )
| ~ ( member_a @ SV852 @ SV327 )
| ( member_a @ SV852 @ SV633 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2399,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV328 )
!= ( produc1040928388_a_a_e @ SV634 ) )
= $true )
| ( ( ( ( produc317566658_a_a_e @ SV328 )
!= ( produc317566658_a_a_e @ SV634 ) )
| ( SV328 = SV634 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2048]) ).
thf(2400,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= ( ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2401,plain,
! [SV854: set_a > set_set_a,SV636: set_set_a,SV330: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV330 @ SV636 )
| ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ SV854 @ SV330 ) @ ( image_1930509541_set_a @ SV854 @ SV636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2402,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ~ ( SV331 @ SV637 )
| ~ ! [SY2285: set_a] :
( ~ ( SV331 @ SY2285 )
| ( ord_less_eq_set_a @ SY2285 @ SV637 ) )
| ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2403,plain,
! [SV856: set_a,SV638: set_Pr204296108_a_a_e,SV332: produc715398134_a_a_e] :
( ( ! [SY2479: produc715398134_a_a_e > set_a] :
( ~ ( member1258382221_a_a_e @ SV332 @ SV638 )
| ( SV856
!= ( SY2479 @ SV332 ) )
| ( member_set_a @ SV856 @ ( image_64240033_set_a @ SY2479 @ SV638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2404,plain,
! [SV857: set_a,SV639: set_a > a,SV333: set_set_a] :
( ( ~ ! [SY2480: set_a] :
( ~ ( member_set_a @ SY2480 @ SV333 )
| ( member_a @ ( SV639 @ SY2480 ) @ SV857 ) )
| ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SV857 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2405,plain,
! [SV858: set_set_a,SV640: set_a > set_set_a,SV334: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
| ~ ! [SY2481: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2481 @ SV858 )
| ( SV334
!= ( image_1930509541_set_a @ SV640 @ SY2481 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2406,plain,
! [SV859: set_a,SV641: ( a > e ) > a,SV335: set_a_e] :
( ( ~ ! [SY2482: a > e] :
( ~ ( member_a_e @ SY2482 @ SV335 )
| ( member_a @ ( SV641 @ SY2482 ) @ SV859 ) )
| ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SV859 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2407,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= ( ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2408,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= ( ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2409,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= ( ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2058]) ).
thf(2410,plain,
! [SV863: $o > set_a,SV645: $o > set_a,SV339: $o > set_a] :
( ( ( SV339 != SV645 )
| ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 )
| ( ord_less_eq_o_set_a @ SV339 @ SV863 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2411,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ~ ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
| ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2060]) ).
thf(2412,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= ( ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2060]) ).
thf(2413,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( ~ ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ( SV341 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ~ ( SV341 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2061]) ).
thf(2414,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( ~ ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ( SV342 @ SV12 ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ~ ( SV342 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2063]) ).
thf(2415,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ~ ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ( ord_less_eq_set_a @ SV17 @ SV344 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2065]) ).
thf(2416,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ~ ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
| ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2067]) ).
thf(2417,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2067]) ).
thf(2418,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ~ ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
| ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2068]) ).
thf(2419,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2068]) ).
thf(2420,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ~ ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
| ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2069]) ).
thf(2421,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2069]) ).
thf(2422,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ~ ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
| ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2070]) ).
thf(2423,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2070]) ).
thf(2424,plain,
! [SV864: a > e,SV651: set_a,SV354: ( a > e ) > a > e,SV31: set_a > set_a] :
( ( ( produc1443219402_e_a_e @ SV31 @ SV354 @ ( produc1134456688_a_a_e @ SV651 @ SV864 ) )
= ( produc1134456688_a_a_e @ ( SV31 @ SV651 ) @ ( SV354 @ SV864 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2425,plain,
! [SV37: set_a] :
( ( ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 = top_top_set_a ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 != top_top_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2073]) ).
thf(2426,plain,
! [SV865: a,SV357: a > e,SV40: set_a] :
( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV40 @ SV357 ) @ SV865 )
= ( SV357 @ SV865 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2427,plain,
! [SV358: set_a] :
( ( ( ~ ( ( top_top_set_a_o @ SV358 )
| ( member_set_a @ SV358 @ top_top_set_set_a ) ) )
= $true )
| ( ( ~ ( ~ ( top_top_set_a_o @ SV358 )
| ~ ( member_set_a @ SV358 @ top_top_set_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2428,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ~ ( ( top_to2000253225_a_e_o @ SV359 )
| ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) ) )
= $true )
| ( ( ~ ( ~ ( top_to2000253225_a_e_o @ SV359 )
| ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2078]) ).
thf(2429,plain,
! [SV866: set_a > ( a > e ) > $o,SV360: set_a > set_a > $o] :
( ( ( bNF_sn375433437_a_a_e @ SV360 @ SV866 )
= ( ^ [SY2486: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV360 @ SV866 @ ( produc1040928388_a_a_e @ SY2486 ) @ ( produc317566658_a_a_e @ SY2486 ) ) @ ( produc317566658_a_a_e @ SY2486 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2430,plain,
! [SV867: ( a > e ) > ( a > e ) > $o,SV361: set_a > ( a > e ) > $o] :
( ( ( bNF_fs1024561536_e_a_e @ SV361 @ SV867 )
= ( ^ [SY2487: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SY2487 ) @ ( bNF_pi1175744974_e_a_e @ SV361 @ SV867 @ ( produc1040928388_a_a_e @ SY2487 ) @ ( produc317566658_a_a_e @ SY2487 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2431,plain,
! [SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 )
= ( ^ [SY2488: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SY2488 ) @ SV362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2432,plain,
! [SV657: set_a,SV363: a > set_a,SV48: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) ) )
= $true )
| ( ( ~ ! [SY2308: set_a] :
( ~ ( ord_less_eq_set_a @ SY2308 @ SV657 )
| ( SV48
!= ( image_a_set_a @ SV363 @ SY2308 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2086]) ).
thf(2433,plain,
! [SV658: set_a > set_a,SV364: set_set_a,SV49: set_a] :
( ( ( ~ ( member_set_a @ SV49 @ SV364 ) )
= $true )
| ( ( member_set_a @ ( SV658 @ SV49 ) @ ( image_set_a_set_a @ SV658 @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2087]) ).
thf(2434,plain,
! [SV659: set_a,SV365: set_set_a,SV50: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV50 @ SV365 )
| ( ord_le318720350_set_a @ SV365 @ SV50 ) ) )
= $true )
| ( ( ~ ~ ( member_set_a @ SV659 @ SV50 )
| ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2088]) ).
thf(2435,plain,
! [SV660: set_set_set_a,SV366: set_set_a > set_a,SV51: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) ) )
= $true )
| ( ( ~ ! [SY2309: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2309 @ SV660 )
| ( SV51
!= ( image_402591269_set_a @ SV366 @ SY2309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2436,plain,
! [SV869: set_a > ( a > e ) > $o,SV661: set_Pr305929312_set_a,SV367: a > e,SV52: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
| ~ ! [SY2489: a > e,SY2490: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2489 @ SY2490 ) @ SV661 )
| ( SV869 @ SY2490 @ SY2489 ) )
| ( SV869 @ SV52 @ SV367 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2437,plain,
! [SV662: set_a > $o,SV368: set_Pr204296108_a_a_e,SV53: set_a] :
( ( ( ~ ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) ) )
= $true )
| ( ( ~ ! [SY2313: set_a,SY2314: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2313 @ SY2314 ) @ SV368 )
| ( SV662 @ SY2313 ) )
| ( SV662 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2091]) ).
thf(2438,plain,
! [SV870: set_set_a,SV663: set_a,SV369: set_a > produc715398134_a_a_e,SV54: produc715398134_a_a_e] :
( ( ( SV54
!= ( SV369 @ SV663 ) )
| ~ ( member_set_a @ SV663 @ SV870 )
| ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SV369 @ SV870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2439,plain,
! [SV664: set_Pr204296108_a_a_e,SV370: produc715398134_a_a_e > set_a,SV55: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) ) )
= $true )
| ( ( ~ ! [SY2316: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2316 @ SV664 )
| ( SV55
!= ( image_64240033_set_a @ SV370 @ SY2316 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2093]) ).
thf(2440,plain,
! [SV56: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ a1 @ SV56 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ a2 @ SV56 )
| ~ ( ord_less_eq_set_a @ a3 @ SV56 )
| thesis )
= $true )
| ( ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2094]) ).
thf(2441,plain,
! [SV57: set_set_a] :
( ( ( member_set_a @ ( sK7_SY1157 @ SV57 ) @ SV57 )
= $false )
| ( ( top_top_set_set_a = SV57 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2095]) ).
thf(2442,plain,
! [SV665: set_set_a,SV371: set_set_a,SV58: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV58 @ SV371 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV371 @ SV665 )
| ( ord_le318720350_set_a @ SV58 @ SV665 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2096]) ).
thf(2443,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false )
| ( ( ~ ! [SY1878: a > e,SY1879: set_a] :
( ( SV59
!= ( produc1134456688_a_a_e @ SY1879 @ SY1878 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY1878 @ SY1879 ) @ SV372 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2444,plain,
! [SV666: set_set_set_a,SV373: set_set_set_a,SV60: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV60 @ SV373 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV373 @ SV666 )
| ( ord_le2103863998_set_a @ SV60 @ SV666 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2445,plain,
! [SV871: $o > set_a,SV667: set_a > $o > set_a,SV374: set_a,SV61: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV61 @ SV374 )
| ( ( SV667 @ SV374 )
!= SV871 )
| ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2446,plain,
! [SV375: set_Pr204296108_a_a_e,SV62: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV62 @ SV375 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV375 @ SV62 )
| ( SV375 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2447,plain,
! [SV376: set_a,SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 @ SV376 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV376 @ SV63 )
| ( SV63 = SV376 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2101]) ).
thf(2448,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2449,plain,
! [SV669: set_a,SV378: produc715398134_a_a_e > a,SV65: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2320: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2320 @ SV65 )
| ( member_a @ ( SV378 @ SY2320 ) @ SV669 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SV669 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2104]) ).
thf(2450,plain,
! [SV873: set_set_set_a,SV670: set_a > set_set_set_a,SV379: set_a,SV66: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV66 @ SV379 )
| ( ( SV670 @ SV379 )
!= SV873 )
| ~ ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) )
| ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2451,plain,
! [SV380: set_a,SV67: set_a] :
( ( ( SV67 = SV380 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV67 @ SV380 )
| ~ ( ord_less_eq_set_a @ SV380 @ SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2452,plain,
! [SV671: $o > set_a,SV381: $o > set_a,SV68: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV68 @ SV381 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV381 @ SV671 )
| ( ord_less_eq_o_set_a @ SV68 @ SV671 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2107]) ).
thf(2453,plain,
! [SV672: set_Pr204296108_a_a_e,SV382: produc715398134_a_a_e > produc715398134_a_a_e,SV69: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2324: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2324 @ SV69 )
| ( member1258382221_a_a_e @ ( SV382 @ SY2324 ) @ SV672 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SV672 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2454,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ~ ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
| ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2109]) ).
thf(2455,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= ( ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2109]) ).
thf(2456,plain,
! [SV674: set_a > a,SV384: set_set_a,SV71: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV71 @ SV384 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV674 @ SV71 ) @ ( image_set_a_a @ SV674 @ SV384 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2110]) ).
thf(2457,plain,
! [SV675: produc715398134_a_a_e,SV385: set_Pr204296108_a_a_e,SV72: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV72 @ SV385 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV675 @ SV72 )
| ( member1258382221_a_a_e @ SV675 @ SV385 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2111]) ).
thf(2458,plain,
! [SV386: set_a,SV73: set_a] :
( ( ( ord_less_eq_set_a @ SV73 @ SV386 )
= $false )
| ( ( ord_le318720350_set_a @ ( pow_a @ SV73 ) @ ( pow_a @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2113]) ).
thf(2459,plain,
! [SV874: set_a,SV676: set_a > set_a,SV387: set_a,SV74: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV74 @ SV387 )
| ~ ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
| ~ ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) )
| ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2460,plain,
! [SV677: set_a,SV388: set_a,SV75: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV75 @ SV388 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV388 @ SV677 )
| ( ord_less_eq_set_a @ SV75 @ SV677 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2115]) ).
thf(2461,plain,
! [SV875: $o > set_a,SV678: set_set_a > $o > set_a,SV389: set_set_a,SV76: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV76 @ SV389 )
| ( ( SV678 @ SV389 )
!= SV875 )
| ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2462,plain,
! [SV679: a > e,SV390: set_a,SV77: produc715398134_a_a_e] :
( ( ( SV77
!= ( produc1134456688_a_a_e @ SV390 @ SV679 ) )
= $true )
| ( ( ( produc317566658_a_a_e @ SV77 )
= SV679 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2117]) ).
thf(2463,plain,
! [SV680: set_Pr204296108_a_a_e,SV391: a > e,SV78: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV78 @ SV391 ) @ SV680 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV391 @ SV78 ) @ ( converse_set_a_a_e @ SV680 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2118]) ).
thf(2464,plain,
! [SV876: $o > set_a,SV681: $o > set_a,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e] :
( ( ( SV79
!= ( SV392 @ SV681 ) )
| ~ ( ord_less_eq_o_set_a @ SV681 @ SV876 )
| ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2465,plain,
! [SV877: set_a,SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a] :
( ( ~ ! [SY2337: set_a] :
( ~ ( member_set_a @ SY2337 @ SV80 )
| ( member_set_a @ ( SV393 @ SY2337 ) @ SV682 ) )
| ~ ( member_set_a @ SV877 @ SV80 )
| ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2466,plain,
! [SV878: set_a,SV683: set_a,SV394: set_a > set_a,SV81: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
| ~ ( ord_less_eq_set_a @ SV683 @ SV878 )
| ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2121]) ).
thf(2467,plain,
! [SV395: set_set_set_a,SV82: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV82 @ SV395 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV395 @ SV82 )
| ( SV82 = SV395 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2122]) ).
thf(2468,plain,
! [SV684: set_Pr204296108_a_a_e,SV396: set_Pr204296108_a_a_e,SV83: set_Pr204296108_a_a_e] :
( ( ( SV83 != SV396 )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV396 @ SV684 )
| ( ord_le700723212_a_a_e @ SV83 @ SV684 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2123]) ).
thf(2469,plain,
! [SV685: produc715398134_a_a_e,SV397: produc715398134_a_a_e > set_a,SV84: set_a] :
( ( ( SV84
!= ( SV397 @ SV685 ) )
= $true )
| ( ( member_set_a @ SV84 @ ( image_64240033_set_a @ SV397 @ top_to1601855068_a_a_e ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2124]) ).
thf(2470,plain,
! [SV686: set_set_set_a,SV398: set_set_set_a,SV85: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV85 @ SV398 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV398 @ SV686 )
| ( ord_le2103863998_set_a @ SV85 @ SV686 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2125]) ).
thf(2471,plain,
! [SV687: set_a,SV399: a > a,SV86: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) ) )
= $true )
| ( ( ~ ! [SY2341: set_a] :
( ~ ( ord_less_eq_set_a @ SY2341 @ SV687 )
| ( SV86
!= ( image_a_a @ SV399 @ SY2341 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2126]) ).
thf(2472,plain,
! [SV879: a > e,SV688: set_a,SV400: a > e,SV87: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
!= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
| ~ ( ( SV87 != SV688 )
| ( SV400 != SV879 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2473,plain,
! [SV401: set_set_a,SV88: set_set_a] :
( ( ( ! [SY1930: set_a] :
( ~ ( member_set_a @ SY1930 @ SV88 )
| ( member_set_a @ SY1930 @ SV401 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV88 @ SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2128]) ).
thf(2474,plain,
! [SV880: set_a,SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a] :
( ( ~ ! [SY2344: set_a] :
( ~ ( member_set_a @ SY2344 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SY2344 ) @ SV689 ) )
| ~ ( member_set_a @ SV880 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2475,plain,
! [SV881: set_Pr204296108_a_a_e,SV690: produc715398134_a_a_e,SV403: produc715398134_a_a_e > produc715398134_a_a_e,SV90: produc715398134_a_a_e] :
( ( ( SV90
!= ( SV403 @ SV690 ) )
| ~ ( member1258382221_a_a_e @ SV690 @ SV881 )
| ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SV403 @ SV881 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2130]) ).
thf(2476,plain,
! [SV691: ( a > e ) > ( a > e ) > $o,SV404: set_a > ( a > e ) > $o,SV91: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV91 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ SV404 @ SV691 ) ) ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ SV404 @ SV691 @ SV91 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV404 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2131]) ).
thf(2477,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ~ ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
| ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2132]) ).
thf(2478,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= ( ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2132]) ).
thf(2479,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( SV406 = SV882 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2133]) ).
thf(2480,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ~ ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2135]) ).
thf(2481,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= ( ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2135]) ).
thf(2482,plain,
! [SV883: produc715398134_a_a_e > set_a,SV695: produc715398134_a_a_e > set_a,SV408: set_Pr204296108_a_a_e,SV95: set_Pr204296108_a_a_e] :
( ( ! [SY2505: set_set_a > set_a] :
( ( SV95 != SV408 )
| ~ ! [SY2506: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2506 @ SV408 )
| ( ( SV695 @ SY2506 )
= ( SV883 @ SY2506 ) ) )
| ( ( SY2505 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SY2505 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2483,plain,
! [SV696: set_a,SV409: set_a,SV96: set_a] :
( ( ( SV96 != SV409 )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV696 @ SV96 )
| ( ord_less_eq_set_a @ SV696 @ SV409 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2137]) ).
thf(2484,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= ( ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2138]) ).
thf(2485,plain,
! [SV411: set_set_set_a,SV98: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV98 @ SV411 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV411 @ SV98 )
| ( SV411 = SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2140]) ).
thf(2486,plain,
! [SV698: set_set_set_a,SV412: set_set_set_a,SV100: set_set_set_a] :
( ( ( SV100 != SV412 )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV412 @ SV698 )
| ( ord_le2103863998_set_a @ SV100 @ SV698 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2142]) ).
thf(2487,plain,
! [SV699: set_a > ( a > e ) > $o,SV413: set_a > set_a > $o,SV101: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV101 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ SV413 @ SV699 ) ) ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ SV413 @ SV699 @ SV101 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV699 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2143]) ).
thf(2488,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ~ ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2144]) ).
thf(2489,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= ( ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2144]) ).
thf(2490,plain,
! [SV415: set_a,SV103: set_a] :
( ( ( ord_less_eq_set_a @ SV103 @ SV415 )
= $false )
| ( ( ord_le318720350_set_a @ ( finite_Fpow_a @ SV103 ) @ ( finite_Fpow_a @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2145]) ).
thf(2491,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ~ ( ( ( produc1040928388_a_a_e @ SV104 )
!= ( produc1040928388_a_a_e @ SV416 ) )
| ( ( produc317566658_a_a_e @ SV104 )
!= ( produc317566658_a_a_e @ SV416 ) ) ) )
= $false )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2146]) ).
thf(2492,plain,
! [SV417: set_Pr204296108_a_a_e,SV105: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false )
| ( ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= ( SV417 = SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2493,plain,
! [SV701: ( a > e ) > $o,SV418: set_Pr204296108_a_a_e,SV106: a > e] :
( ( ( ~ ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) ) )
= $true )
| ( ( ~ ! [SY2352: set_a,SY2353: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2352 @ SY2353 ) @ SV418 )
| ( SV701 @ SY2353 ) )
| ( SV701 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2148]) ).
thf(2494,plain,
! [SV419: set_a,SV107: set_a] :
( ( ( SV107 = SV419 )
= $false )
| ( ( ord_less_eq_set_a @ SV419 @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2149]) ).
thf(2495,plain,
! [SV702: set_Pr204296108_a_a_e,SV420: set_Pr204296108_a_a_e,SV108: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV108 @ SV420 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV420 @ SV702 )
| ( ord_le700723212_a_a_e @ SV108 @ SV702 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2150]) ).
thf(2496,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( SV421 = SV885 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2497,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ~ ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
| ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2153]) ).
thf(2498,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= ( ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2153]) ).
thf(2499,plain,
! [SV705: set_set_a > a,SV423: set_set_set_a,SV111: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV111 @ SV423 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_set_a_a @ SV705 @ SV111 ) @ ( image_set_set_a_a @ SV705 @ SV423 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2154]) ).
thf(2500,plain,
! [SV886: a > e,SV706: produc715398134_a_a_e,SV424: produc715398134_a_a_e > set_a,SV112: set_a] :
( ( ! [SY2507: produc715398134_a_a_e > a > e,SY2508: set_Pr204296108_a_a_e] :
( ( SV112
!= ( SV424 @ SV706 ) )
| ( SV886
!= ( SY2507 @ SV706 ) )
| ~ ( member1258382221_a_a_e @ SV706 @ SY2508 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SY2508 @ SV424 @ SY2507 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2501,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ~ ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
| ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2156]) ).
thf(2502,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= ( ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2156]) ).
thf(2503,plain,
! [SV887: ( a > e ) > set_a > $o,SV708: set_Pr204296108_a_a_e,SV426: set_a,SV114: a > e] :
( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
| ~ ! [SY2509: set_a,SY2510: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2509 @ SY2510 ) @ SV708 )
| ( SV887 @ SY2510 @ SY2509 ) )
| ( SV887 @ SV114 @ SV426 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2157]) ).
thf(2504,plain,
! [SV709: set_a,SV427: a > a,SV115: set_a] :
( ( ( ~ ! [SY2363: a] :
( ~ ( member_a @ SY2363 @ SV115 )
| ( member_a @ ( SV427 @ SY2363 ) @ SV709 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SV709 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2505,plain,
! [SV428: set_a > produc715398134_a_a_e,SV116: produc715398134_a_a_e > set_a] :
( ( ( ! [SY1975: set_a] :
( ( SV116 @ ( SV428 @ SY1975 ) )
= SY1975 ) )
= $false )
| ( ( ( image_64240033_set_a @ SV116 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2159]) ).
thf(2506,plain,
! [SV888: set_set_a,SV710: set_set_a > set_set_a,SV429: set_set_a,SV117: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV117 @ SV429 )
| ( ( SV710 @ SV429 )
!= SV888 )
| ~ ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) )
| ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2507,plain,
! [SV711: set_set_set_a,SV430: set_set_set_a,SV118: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV118 @ SV430 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV711 @ SV118 )
| ( ord_le2103863998_set_a @ SV711 @ SV430 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2161]) ).
thf(2508,plain,
! [SV431: produc715398134_a_a_e > set_a,SV119: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV119 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false )
| ( ( ( ( image_64240033_set_a @ SV431 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ( ( image_2101504031_set_a @ ( produc387505142_set_a @ SV119 @ SV431 ) @ top_to970499581_a_a_e )
= top_to144004695_set_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2509,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 = SV889 )
= ( ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2163]) ).
thf(2510,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2165]) ).
thf(2511,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= ( ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2165]) ).
thf(2512,plain,
! [SV434: $o > set_a,SV122: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV434 @ SV122 )
| ( SV434 = SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2513,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ~ ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2167]) ).
thf(2514,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= ( ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2167]) ).
thf(2515,plain,
! [SV715: set_set_a,SV436: set_Pr204296108_a_a_e,SV124: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV124 @ SV436 ) @ SV715 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV124 ) @ ( pow_Pr328302361_a_a_e @ SV436 ) ) @ ( pow_set_a @ SV715 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2168]) ).
thf(2516,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= ( ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2517,plain,
! [SV891: set_set_a,SV717: set_a,SV438: set_a > a > e,SV126: a > e] :
( ( ( SV126
!= ( SV438 @ SV717 ) )
| ~ ( member_set_a @ SV717 @ SV891 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2171]) ).
thf(2518,plain,
! [SV439: $o > set_a,SV127: $o > set_a] :
( ( ( SV127 = SV439 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV127 @ SV439 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2519,plain,
! [SV440: set_a,SV128: set_a] :
( ( ( ord_less_eq_set_a @ SV128 @ SV440 )
= $false )
| ( ( member_set_a @ SV128 @ ( pow_a @ SV440 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2520,plain,
! [SV718: set_a,SV441: set_a,SV129: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV129 @ SV441 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV441 @ SV718 )
| ( ord_less_eq_set_a @ SV129 @ SV718 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2174]) ).
thf(2521,plain,
! [SV719: a,SV442: set_a,SV130: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV130 @ SV442 )
| ( ord_less_eq_set_a @ SV442 @ SV130 ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV719 @ SV130 )
| ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2175]) ).
thf(2522,plain,
! [SV720: $o > set_a,SV443: $o > set_a,SV131: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV131 @ SV443 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV720 @ SV131 )
| ( ord_less_eq_o_set_a @ SV720 @ SV443 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2176]) ).
thf(2523,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2177]) ).
thf(2524,plain,
! [SV721: set_set_a,SV445: set_a > set_a,SV133: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) ) )
= $true )
| ( ( ~ ! [SY2371: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2371 @ SV721 )
| ( SV133
!= ( image_set_a_set_a @ SV445 @ SY2371 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2179]) ).
thf(2525,plain,
! [SV446: set_Pr204296108_a_a_e,SV134: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV134 @ SV446 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV446 @ SV134 )
| ( SV134 = SV446 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2180]) ).
thf(2526,plain,
! [SV722: a > e,SV447: a > e,SV135: set_a] :
( ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
!= SV722 )
= $true )
| ( ( SV447 = SV722 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2181]) ).
thf(2527,plain,
! [SV892: set_Pr204296108_a_a_e,SV723: produc715398134_a_a_e,SV448: produc715398134_a_a_e > set_a,SV136: set_a] :
( ( ( SV136
!= ( SV448 @ SV723 ) )
| ~ ( member1258382221_a_a_e @ SV723 @ SV892 )
| ( member_set_a @ SV136 @ ( image_64240033_set_a @ SV448 @ SV892 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2182]) ).
thf(2528,plain,
! [SV449: set_a,SV137: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV137 @ SV449 ) )
= $false )
| ( ( ~ ! [SY2002: a] :
~ ~ ( ~ ( member_a @ SY2002 @ SV137 )
| ~ ~ ( member_a @ SY2002 @ SV449 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2529,plain,
! [SV450: $o > set_a,SV138: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false )
| ( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= ( SV450 = SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2184]) ).
thf(2530,plain,
! [SV724: set_set_set_a,SV451: set_set_set_a,SV139: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV139 @ SV451 ) )
= $true )
| ( ( ( SV451 != SV724 )
| ( ord_le2103863998_set_a @ SV139 @ SV724 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2531,plain,
! [SV725: $o > set_a,SV452: $o > set_a,SV140: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV140 @ SV452 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV452 @ SV725 )
| ( ord_less_eq_o_set_a @ SV140 @ SV725 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2186]) ).
thf(2532,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( SV453 = SV893 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2533,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( ~ ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true )
| ( ( ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2189]) ).
thf(2534,plain,
! [SV727: set_set_set_a,SV455: set_set_a > a,SV143: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) ) )
= $true )
| ( ( ~ ! [SY2373: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2373 @ SV727 )
| ( SV143
!= ( image_set_set_a_a @ SV455 @ SY2373 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2191]) ).
thf(2535,plain,
! [SV456: set_Pr204296108_a_a_e,SV144: set_Pr204296108_a_a_e] :
( ( ( ! [SY2010: set_a,SY2011: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2010 @ SY2011 ) @ SV144 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2010 @ SY2011 ) @ SV456 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV144 @ SV456 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2192]) ).
thf(2536,plain,
! [SV457: set_a,SV145: set_a] :
( ( ( ord_less_eq_set_a @ SV145 @ SV457 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV457 @ SV145 )
| ( SV145 = SV457 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2537,plain,
! [SV728: set_Pr305929312_set_a,SV458: a > e,SV146: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV146 @ SV458 ) @ ( converse_a_e_set_a @ SV728 ) ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV458 @ SV146 ) @ SV728 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2194]) ).
thf(2538,plain,
! [SV729: set_Pr204296108_a_a_e,SV459: set_a,SV147: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV147 @ SV459 ) @ ( converse_set_a_a_e @ SV729 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV459 @ SV147 ) @ SV729 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2195]) ).
thf(2539,plain,
! [SV730: set_a,SV460: a > e,SV148: ( a > e ) > set_a > $o] :
( ( ( ~ ( SV148 @ SV460 @ SV730 ) )
= $true )
| ( ( SV148 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV730 @ SV460 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV730 @ SV460 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2196]) ).
thf(2540,plain,
! [SV731: set_set_a,SV461: set_set_a,SV149: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV149 @ SV461 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV461 @ SV731 )
| ( ord_le318720350_set_a @ SV149 @ SV731 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2197]) ).
thf(2541,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= ( ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2542,plain,
! [SV463: set_a,SV151: set_a] :
( ( ( SV151 = SV463 )
= $false )
| ( ( ord_less_eq_set_a @ SV151 @ SV463 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2200]) ).
thf(2543,plain,
! [SV733: a > a,SV464: set_a,SV152: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV152 @ SV464 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV733 @ SV152 ) @ ( image_a_a @ SV733 @ SV464 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2201]) ).
thf(2544,plain,
! [SV895: set_a_e,SV734: a > e,SV465: ( a > e ) > a,SV153: a] :
( ( ( SV153
!= ( SV465 @ SV734 ) )
| ~ ( member_a_e @ SV734 @ SV895 )
| ( member_a @ SV153 @ ( image_a_e_a @ SV465 @ SV895 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2545,plain,
! [SV735: set_set_a,SV466: set_a > set_a,SV154: set_set_a] :
( ( ( ~ ! [SY2376: set_a] :
( ~ ( member_set_a @ SY2376 @ SV154 )
| ( member_set_a @ ( SV466 @ SY2376 ) @ SV735 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SV735 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2204]) ).
thf(2546,plain,
! [SV896: set_Pr204296108_a_a_e,SV736: ( a > e ) > a > e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
| ~ ! [SY2515: set_a,SY2516: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ SY2515 ) @ ( SV736 @ SY2516 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2515 @ SY2516 ) @ SV896 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2547,plain,
! [SV468: set_set_set_a,SV156: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false )
| ( ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= ( SV468 = SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2206]) ).
thf(2548,plain,
! [SV737: set_set_a > set_set_a,SV469: set_set_set_a,SV157: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV157 @ SV469 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ SV737 @ SV157 ) @ ( image_1956910981_set_a @ SV737 @ SV469 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2207]) ).
thf(2549,plain,
! [SV738: set_Pr204296108_a_a_e,SV470: a > e,SV158: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV158 @ SV470 ) @ SV738 ) )
= $true )
| ( ( member_a_e @ SV470 @ ( range_set_a_a_e @ SV738 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2208]) ).
thf(2550,plain,
! [SV471: set_Pr204296108_a_a_e,SV159: set_Pr204296108_a_a_e] :
( ( ( SV159 != SV471 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV471 @ SV159 )
| ~ ! [SY2029: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2029 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY2029 @ SV471 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2209]) ).
thf(2551,plain,
! [SV739: set_a,SV472: a > set_set_a,SV160: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) ) )
= $true )
| ( ( ~ ! [SY2380: set_a] :
( ~ ( ord_less_eq_set_a @ SY2380 @ SV739 )
| ( SV160
!= ( image_a_set_set_a @ SV472 @ SY2380 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2210]) ).
thf(2552,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2211]) ).
thf(2553,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( SV474 = SV897 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2554,plain,
! [SV475: set_set_a,SV163: set_set_a] :
( ( ( ord_le318720350_set_a @ SV163 @ SV475 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV475 @ SV163 )
| ( SV475 = SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2555,plain,
! [SV741: set_Pr204296108_a_a_e,SV476: set_Pr204296108_a_a_e,SV164: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV164 @ SV476 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV741 @ SV164 )
| ( ord_le700723212_a_a_e @ SV741 @ SV476 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2216]) ).
thf(2556,plain,
! [SV898: set_a > ( a > e ) > $o,SV742: set_a_e,SV477: set_Pr204296108_a_a_e,SV165: set_set_a] :
( ( ! [SY2517: set_a > ( a > e ) > $o] :
( ( SV165
!= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
| ( SV742
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
| ~ ! [SY2518: set_a] :
( ~ ( member_set_a @ SY2518 @ SV165 )
| ! [SY2519: a > e] :
( ~ ( member_a_e @ SY2519 @ SV742 )
| ~ ( SV898 @ SY2518 @ SY2519 )
| ( SY2517 @ SY2518 @ SY2519 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SY2517 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2557,plain,
! [SV478: set_set_a,SV166: set_set_a] :
( ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false )
| ( ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= ( SV478 = SV166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2218]) ).
thf(2558,plain,
! [SV479: set_Pr204296108_a_a_e,SV167: set_Pr204296108_a_a_e] :
( ( ( SV167 = SV479 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV167 @ SV479 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2219]) ).
thf(2559,plain,
! [SV743: a > set_set_a,SV480: set_a,SV168: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV168 @ SV480 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_a_set_set_a @ SV743 @ SV168 ) @ ( image_a_set_set_a @ SV743 @ SV480 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2560,plain,
! [SV899: set_set_a,SV744: set_a > set_set_a,SV481: set_a,SV169: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV169 @ SV481 )
| ( ( SV744 @ SV481 )
!= SV899 )
| ~ ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) )
| ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2221]) ).
thf(2561,plain,
! [SV482: set_a,SV170: set_a] :
( ( ( ord_less_eq_set_a @ SV170 @ SV482 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV482 @ SV170 )
| ( SV482 = SV170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2222]) ).
thf(2562,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= ( ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2563,plain,
! [SV746: produc715398134_a_a_e > set_a,SV484: set_Pr204296108_a_a_e,SV172: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV172 @ SV484 ) )
= $true )
| ( ( member_set_a @ ( SV746 @ SV172 ) @ ( image_64240033_set_a @ SV746 @ SV484 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2225]) ).
thf(2564,plain,
! [SV747: set_set_a,SV485: produc715398134_a_a_e > set_a,SV173: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2389: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2389 @ SV173 )
| ( member_set_a @ ( SV485 @ SY2389 ) @ SV747 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SV747 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2565,plain,
! [SV748: set_set_a,SV486: set_set_a,SV174: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV174 @ SV486 ) )
= $true )
| ( ( ( SV486 != SV748 )
| ( ord_le318720350_set_a @ SV174 @ SV748 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2227]) ).
thf(2566,plain,
! [SV901: set_set_a,SV749: set_a,SV487: set_a > a,SV175: a] :
( ( ( SV175
!= ( SV487 @ SV749 ) )
| ~ ( member_set_a @ SV749 @ SV901 )
| ( member_a @ SV175 @ ( image_set_a_a @ SV487 @ SV901 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2228]) ).
thf(2567,plain,
! [SV488: set_set_a,SV176: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV176 @ SV488 ) )
= $false )
| ( ( ~ ! [SY2055: set_a] :
~ ~ ( ~ ( member_set_a @ SY2055 @ SV176 )
| ~ ~ ( member_set_a @ SY2055 @ SV488 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2229]) ).
thf(2568,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2230]) ).
thf(2569,plain,
! [SV490: set_a,SV178: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV178 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false )
| ( ( ~ ! [SY2057: produc715398134_a_a_e] :
( SV490
!= ( SV178 @ SY2057 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2232]) ).
thf(2570,plain,
! [SV750: set_a,SV491: set_a,SV179: set_a] :
( ( ( SV179 != SV491 )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV491 @ SV750 )
| ( ord_less_eq_set_a @ SV179 @ SV750 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2233]) ).
thf(2571,plain,
! [SV751: set_a,SV492: set_a,SV180: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV180 @ SV492 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV751 @ SV180 )
| ( ord_less_eq_set_a @ SV751 @ SV492 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2234]) ).
thf(2572,plain,
! [SV493: set_set_a,SV181: set_set_a] :
( ( ( ord_le318720350_set_a @ SV181 @ SV493 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV493 @ SV181 )
| ( SV181 = SV493 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2573,plain,
! [SV752: a > e,SV494: set_a,SV182: produc715398134_a_a_e > $o] :
( ( ( ~ ( produc952037978_a_e_o @ SV182 @ SV494 @ SV752 ) )
= $true )
| ( ( SV182 @ ( produc1134456688_a_a_e @ SV494 @ SV752 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2236]) ).
thf(2574,plain,
! [SV495: set_a,SV183: set_a] :
( ( ( ! [SY2061: a] :
( ~ ( member_a @ SY2061 @ SV183 )
| ( member_a @ SY2061 @ SV495 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV183 @ SV495 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2237]) ).
thf(2575,plain,
! [SV902: produc715398134_a_a_e,SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e] :
( ( ~ ! [SY2392: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2392 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SY2392 ) @ SV753 ) )
| ~ ( member1258382221_a_a_e @ SV902 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2576,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ~ ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
| ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2239]) ).
thf(2577,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= ( ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2239]) ).
thf(2578,plain,
! [SV903: $o > set_a,SV755: $o > set_a,SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a] :
( ( ( SV186
!= ( SV498 @ SV755 ) )
| ~ ( ord_less_eq_o_set_a @ SV755 @ SV903 )
| ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2579,plain,
! [SV756: set_Pr204296108_a_a_e,SV499: set_Pr204296108_a_a_e,SV187: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV187 @ SV499 ) )
= $true )
| ( ( ( SV499 != SV756 )
| ( ord_le700723212_a_a_e @ SV187 @ SV756 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2241]) ).
thf(2580,plain,
! [SV904: a > e,SV757: set_Pr204296108_a_a_e,SV500: a > e,SV188: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
| ( SV904 != SV500 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2581,plain,
! [SV758: set_Pr204296108_a_a_e,SV501: set_Pr204296108_a_a_e,SV189: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV189 @ SV501 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV501 @ SV758 )
| ( ord_le700723212_a_a_e @ SV189 @ SV758 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2243]) ).
thf(2582,plain,
! [SV502: set_Pr204296108_a_a_e,SV190: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV190 @ SV502 ) )
= $false )
| ( ( ~ ! [SY2075: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2075 @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ SY2075 @ SV502 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2583,plain,
! [SV759: set_a > set_a,SV503: set_set_a,SV191: set_a] :
( ( ( ~ ( member_set_a @ SV191 @ SV503 ) )
= $true )
| ( ( member_set_a @ ( SV759 @ SV191 ) @ ( image_set_a_set_a @ SV759 @ SV503 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2245]) ).
thf(2584,plain,
! [SV905: produc715398134_a_a_e > set_a,SV760: produc715398134_a_a_e > set_a,SV504: set_Pr204296108_a_a_e,SV192: set_Pr204296108_a_a_e] :
( ( ( SV192 != SV504 )
| ~ ! [SY2526: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2526 @ SV504 )
| ( ( SV760 @ SY2526 )
= ( SV905 @ SY2526 ) ) )
| ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2585,plain,
! [SV761: $o > set_a,SV505: $o > set_a,SV193: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV193 @ SV505 ) )
= $true )
| ( ( ( SV505 != SV761 )
| ( ord_less_eq_o_set_a @ SV193 @ SV761 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2247]) ).
thf(2586,plain,
! [SV506: set_Pr204296108_a_a_e,SV194: set_a] :
( ( ( member_set_a @ SV194 @ ( domain_set_a_a_e @ SV506 ) )
= $false )
| ( ( ~ ! [SY2081: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV194 @ SY2081 ) @ SV506 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2248]) ).
thf(2587,plain,
! [SV762: produc715398134_a_a_e > produc715398134_a_a_e,SV507: set_Pr204296108_a_a_e,SV195: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV195 @ SV507 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV762 @ SV195 ) @ ( image_625620211_a_a_e @ SV762 @ SV507 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2249]) ).
thf(2588,plain,
! [SV763: set_a,SV508: set_set_a,SV196: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV196 @ SV508 ) )
= $true )
| ( ( ~ ( member_set_a @ SV763 @ SV196 )
| ( member_set_a @ SV763 @ SV508 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2250]) ).
thf(2589,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2251]) ).
thf(2590,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= ( ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2251]) ).
thf(2591,plain,
! [SV510: produc715398134_a_a_e,SV198: produc715398134_a_a_e > $o] :
( ( ( ! [SY1497: set_a,SY1498: a > e] : ( SV198 @ ( produc1134456688_a_a_e @ SY1497 @ SY1498 ) ) )
= $false )
| ( ( SV198 @ SV510 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2252]) ).
thf(2592,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ~ ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
| ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2253]) ).
thf(2593,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= ( ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2253]) ).
thf(2594,plain,
! [SV766: set_set_a > set_a,SV512: set_set_set_a,SV200: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV200 @ SV512 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_402591269_set_a @ SV766 @ SV200 ) @ ( image_402591269_set_a @ SV766 @ SV512 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2254]) ).
thf(2595,plain,
! [SV767: set_a,SV513: set_a,SV201: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV201 @ SV513 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV513 @ SV767 )
| ( ord_less_eq_set_a @ SV201 @ SV767 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2255]) ).
thf(2596,plain,
! [SV768: a,SV514: set_a,SV202: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV202 @ SV514 ) )
= $true )
| ( ( ~ ( member_a @ SV768 @ SV202 )
| ( member_a @ SV768 @ SV514 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2597,plain,
! [SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV203: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2403: set_a] :
( ~ ( member_set_a @ SY2403 @ ( image_64240033_set_a @ SV203 @ SV515 ) )
| ( SV769 @ SY2403 ) ) )
= $true )
| ( ( ! [SY2404: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2404 @ SV515 )
| ( SV769 @ ( SV203 @ SY2404 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2598,plain,
! [SV770: set_a,SV516: set_set_a,SV204: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV204 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) ) )
= $true )
| ( ( ~ ( member_set_a @ SV770 @ SV204 )
| ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2599,plain,
! [SV517: produc715398134_a_a_e,SV205: produc715398134_a_a_e > $o] :
( ( ( ! [SY1516: set_a,SY1517: a > e] : ( SV205 @ ( produc1134456688_a_a_e @ SY1516 @ SY1517 ) ) )
= $false )
| ( ( SV205 @ SV517 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2600,plain,
! [SV906: set_a,SV771: set_set_set_a > set_a,SV518: set_set_set_a,SV206: set_set_set_a] :
( ( ~ ( ord_le2103863998_set_a @ SV206 @ SV518 )
| ( ( SV771 @ SV518 )
!= SV906 )
| ~ ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) )
| ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2601,plain,
! [SV907: set_a,SV772: a,SV519: a > set_a,SV207: set_a] :
( ( ( SV207
!= ( SV519 @ SV772 ) )
| ~ ( member_a @ SV772 @ SV907 )
| ( member_set_a @ SV207 @ ( image_a_set_a @ SV519 @ SV907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2261]) ).
thf(2602,plain,
! [SV520: set_a,SV208: set_a] :
( ( ( member_set_a @ SV208 @ ( pow_a @ SV520 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV208 @ SV520 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2262]) ).
thf(2603,plain,
! [SV773: set_set_a,SV521: set_a > a,SV209: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) ) )
= $true )
| ( ( ~ ! [SY2409: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2409 @ SV773 )
| ( SV209
!= ( image_set_a_a @ SV521 @ SY2409 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2263]) ).
thf(2604,plain,
! [SV774: produc715398134_a_a_e,SV522: set_Pr204296108_a_a_e,SV210: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV210 @ SV522 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV774 @ SV210 )
| ( member1258382221_a_a_e @ SV774 @ SV522 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2264]) ).
thf(2605,plain,
! [SV523: set_a,SV211: set_a] :
( ( ( SV211 != SV523 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV523 @ SV211 )
| ~ ! [SY2109: a] :
~ ~ ( ~ ( member_a @ SY2109 @ SV211 )
| ~ ~ ( member_a @ SY2109 @ SV523 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2606,plain,
! [SV524: set_set_a,SV212: set_set_a] :
( ( ( ord_le318720350_set_a @ SV212 @ SV524 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV524 @ SV212 )
| ( SV212 = SV524 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2266]) ).
thf(2607,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= ( ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2608,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( SV526 = SV909 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2609,plain,
! [SV527: set_set_set_a,SV215: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV215 @ SV527 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV527 @ SV215 )
| ( SV215 = SV527 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2610,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ~ ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
| ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2272]) ).
thf(2611,plain,
! [SV777: produc715398134_a_a_e,SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV217 @ SV529 ) )
= $true )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV777 @ SV217 )
| ~ ( member1258382221_a_a_e @ SV777 @ SV529 )
| ( SV217 != SV529 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2274]) ).
thf(2612,plain,
! [SV778: set_Pr204296108_a_a_e,SV530: a > e,SV218: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV218 @ SV530 ) @ SV778 ) )
= $true )
| ( ( member_set_a @ SV218 @ ( domain_set_a_a_e @ SV778 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2275]) ).
thf(2613,plain,
! [SV779: set_a,SV531: set_set_a,SV219: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV219 @ SV531 ) )
= $true )
| ( ( ~ ~ ( member_set_a @ SV779 @ SV219 )
| ~ ( member_set_a @ SV779 @ SV531 )
| ( SV219 != SV531 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2276]) ).
thf(2614,plain,
! [SV780: a > e,SV532: set_a,SV220: produc715398134_a_a_e > $o] :
( ( ( ~ ( produc952037978_a_e_o @ SV220 @ SV532 @ SV780 ) )
= $true )
| ( ( SV220 @ ( produc1134456688_a_a_e @ SV532 @ SV780 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2277]) ).
thf(2615,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ( SV221 @ SV533 )
= $false )
| ( ( ~ ! [SY2119: set_a] :
( ~ ( SV221 @ SY2119 )
| ( ord_less_eq_set_a @ SY2119 @ SV533 ) )
| ( ( order_Greatest_set_a @ SV221 )
= SV533 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2616,plain,
! [SV781: set_Pr305929312_set_a,SV534: a > e,SV222: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV222 @ SV534 ) @ ( converse_a_e_set_a @ SV781 ) ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV534 @ SV222 ) @ SV781 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2279]) ).
thf(2617,plain,
! [SV910: produc715398134_a_a_e > produc715398134_a_a_e,SV782: produc715398134_a_a_e,SV535: set_Pr204296108_a_a_e,SV223: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV223 @ SV535 )
| ( SV782
!= ( SV910 @ SV223 ) )
| ( member1258382221_a_a_e @ SV782 @ ( image_625620211_a_a_e @ SV910 @ SV535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2618,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2281]) ).
thf(2619,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= ( ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2281]) ).
thf(2620,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( SV537 = SV911 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2282]) ).
thf(2621,plain,
! [SV538: set_a,SV226: set_a] :
( ( ( SV226 = SV538 )
= $false )
| ( ( ord_less_eq_set_a @ SV226 @ SV538 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2622,plain,
! [SV539: set_Pr204296108_a_a_e,SV227: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV227 @ SV539 ) )
= $false )
| ( ( ~ ! [SY2127: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2127 @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ SY2127 @ SV539 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2623,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( SV540 = SV912 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2286]) ).
thf(2624,plain,
! [SV541: set_a,SV229: set_a] :
( ( ( ord_less_eq_set_a @ SV229 @ SV541 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV541 @ SV229 )
| ( SV229 = SV541 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2625,plain,
! [SV913: $o > set_a,SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a] :
( ( ( SV230
!= ( SV542 @ SV786 ) )
| ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2626,plain,
! [SV787: set_Pr204296108_a_a_e,SV543: produc715398134_a_a_e > set_a,SV231: set_a] :
( ( ( ~ ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) ) )
= $true )
| ( ( ~ ! [SY2416: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2416 @ SV787 )
| ( SV231
!= ( SV543 @ SY2416 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2290]) ).
thf(2627,plain,
! [SV788: produc715398134_a_a_e > set_a,SV544: set_Pr204296108_a_a_e,SV232: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV232 @ SV544 ) )
= $true )
| ( ( member_set_a @ ( SV788 @ SV232 ) @ ( image_64240033_set_a @ SV788 @ SV544 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2291]) ).
thf(2628,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= ( ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2629,plain,
! [SV915: set_a,SV790: a,SV546: a > a,SV234: a] :
( ( ( SV234
!= ( SV546 @ SV790 ) )
| ~ ( member_a @ SV790 @ SV915 )
| ( member_a @ SV234 @ ( image_a_a @ SV546 @ SV915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2630,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( SV547 = SV916 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2295]) ).
thf(2631,plain,
! [SV236: produc715398134_a_a_e] :
( ( ~ ! [SY2419: a > e] :
( SV236
!= ( produc1134456688_a_a_e @ ( sK4_SY1585 @ SV236 ) @ SY2419 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2632,plain,
! [SV548: set_a_e,SV237: set_a_e] :
( ( ( ! [SY2143: a > e] :
( ~ ( member_a_e @ SY2143 @ SV237 )
| ( member_a_e @ SY2143 @ SV548 ) ) )
= $false )
| ( ( ord_less_eq_set_a_e @ SV237 @ SV548 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2633,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( SV549 = SV917 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2299]) ).
thf(2634,plain,
( ( ~ ~ ( ~ ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a3 @ sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2635,plain,
! [SV550: set_Pr305929312_set_a,SV239: set_Pr305929312_set_a] :
( ( ( ! [SY2146: produc1965228714_set_a] :
( ~ ( member360729153_set_a @ SY2146 @ SV239 )
| ( member360729153_set_a @ SY2146 @ SV550 ) ) )
= $false )
| ( ( ord_le802356416_set_a @ SV239 @ SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2636,plain,
! [SV793: set_set_a,SV551: set_Pr204296108_a_a_e,SV240: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV240 @ SV551 ) @ SV793 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV240 ) @ ( finite33065488_a_a_e @ SV551 ) ) @ ( finite_Fpow_set_a @ SV793 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2303]) ).
thf(2637,plain,
! [SV918: set_a > set_a,SV794: set_a,SV552: set_set_a,SV241: set_a] :
( ( ~ ( member_set_a @ SV241 @ SV552 )
| ( SV794
!= ( SV918 @ SV241 ) )
| ( member_set_a @ SV794 @ ( image_set_a_set_a @ SV918 @ SV552 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2304]) ).
thf(2638,plain,
! [SV553: set_set_set_a,SV242: set_set_set_a] :
( ( ( ! [SY2150: set_set_a] :
( ~ ( member_set_set_a @ SY2150 @ SV242 )
| ( member_set_set_a @ SY2150 @ SV553 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV242 @ SV553 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2639,plain,
! [SV795: set_Pr305929312_set_a,SV554: set_a,SV243: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV243 @ SV554 ) @ SV795 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV554 @ SV243 ) @ ( converse_a_e_set_a @ SV795 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2306]) ).
thf(2640,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= ( ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2307]) ).
thf(2641,plain,
! [SV797: set_a,SV556: set_a,SV245: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV245 @ SV556 ) )
= $true )
| ( ( ( SV556 != SV797 )
| ( ord_less_eq_set_a @ SV245 @ SV797 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2308]) ).
thf(2642,plain,
! [SV798: a > set_a,SV557: set_a,SV246: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV246 @ SV557 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV798 @ SV246 ) @ ( image_a_set_a @ SV798 @ SV557 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2309]) ).
thf(2643,plain,
! [SV799: produc715398134_a_a_e > produc715398134_a_a_e,SV558: set_Pr204296108_a_a_e,SV247: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV247 @ SV558 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV799 @ SV247 ) @ ( image_625620211_a_a_e @ SV799 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2310]) ).
thf(2644,plain,
! [SV248: produc715398134_a_a_e,SV920: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV920 @ c )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV248 ) @ ( produc1040928388_a_a_e @ SV920 ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV920 ) @ ( produc1040928388_a_a_e @ SV248 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV248 @ c )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2311]) ).
thf(2645,plain,
! [SV921: set_a,SV800: set_a > set_a,SV559: set_a,SV249: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV249 @ SV559 )
| ( ( SV800 @ SV559 )
!= SV921 )
| ~ ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) )
| ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2312]) ).
thf(2646,plain,
! [SV801: produc715398134_a_a_e,SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV250 )
| ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2647,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2314]) ).
thf(2648,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= ( ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2314]) ).
thf(2649,plain,
! [SV922: set_a,SV803: set_set_a > set_a,SV562: set_set_a,SV252: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV252 @ SV562 )
| ( ( SV803 @ SV562 )
!= SV922 )
| ~ ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) )
| ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2315]) ).
thf(2650,plain,
! [SV923: $o > set_a,SV804: $o > set_a,SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a] :
( ( ( SV253
!= ( SV563 @ SV804 ) )
| ~ ( ord_less_eq_o_set_a @ SV804 @ SV923 )
| ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2316]) ).
thf(2651,plain,
! [SV564: set_set_set_a,SV254: set_set_set_a] :
( ( ( SV254 = SV564 )
= $false )
| ( ( ord_le2103863998_set_a @ SV254 @ SV564 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2317]) ).
thf(2652,plain,
! [SV565: set_a,SV255: set_a] :
( ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false )
| ( ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= ( SV565 = SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2318]) ).
thf(2653,plain,
! [SV256: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK8_SY1634 @ SV256 ) @ SV256 )
= $false )
| ( ( top_to1601855068_a_a_e = SV256 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2319]) ).
thf(2654,plain,
! [SV924: produc715398134_a_a_e,SV805: a > e,SV566: set_a,SV257: set_a > ( a > e ) > $o] :
( ( ~ ( SV257 @ SV566 @ SV805 )
| ( SV924
!= ( produc1134456688_a_a_e @ SV566 @ SV805 ) )
| ( SV257 @ ( produc1040928388_a_a_e @ SV924 ) @ ( produc317566658_a_a_e @ SV924 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2655,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2656,plain,
! [SV568: set_set_a,SV259: set_set_a] :
( ( ( ord_le318720350_set_a @ SV259 @ SV568 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV568 @ SV259 )
| ( SV259 = SV568 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2657,plain,
! [SV569: set_a,SV260: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV260 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false )
| ( ( ~ ! [SY2175: produc715398134_a_a_e] :
( SV569
!= ( SV260 @ SY2175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2658,plain,
! [SV806: produc715398134_a_a_e,SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
| ( ord_le700723212_a_a_e @ SV570 @ SV261 ) ) )
= $true )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV806 @ SV261 )
| ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2659,plain,
! [SV807: set_a > produc715398134_a_a_e,SV571: set_set_a,SV262: set_a] :
( ( ( ~ ( member_set_a @ SV262 @ SV571 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV807 @ SV262 ) @ ( image_210900495_a_a_e @ SV807 @ SV571 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2326]) ).
thf(2660,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2327]) ).
thf(2661,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= ( ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2327]) ).
thf(2662,plain,
! [SV925: set_a,SV809: set_a,SV573: set_a > set_a,SV264: set_a] :
( ( ( SV264
!= ( SV573 @ SV809 ) )
| ~ ( ord_less_eq_set_a @ SV809 @ SV925 )
| ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2328]) ).
thf(2663,plain,
! [SV810: a,SV574: set_a,SV265: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV265 @ SV574 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV810 @ SV265 )
| ~ ( member_a @ SV810 @ SV574 )
| ( SV265 != SV574 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2329]) ).
thf(2664,plain,
! [SV575: set_set_a,SV266: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV266 @ SV575 ) )
= $false )
| ( ( ~ ! [SY2185: set_a] :
~ ~ ( ~ ( member_set_a @ SY2185 @ SV266 )
| ~ ~ ( member_set_a @ SY2185 @ SV575 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2330]) ).
thf(2665,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= ( ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2331]) ).
thf(2666,plain,
! [SV927: set_a,SV812: a,SV577: a > a > e,SV268: a > e] :
( ( ( SV268
!= ( SV577 @ SV812 ) )
| ~ ( member_a @ SV812 @ SV927 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2332]) ).
thf(2667,plain,
! [SV813: produc715398134_a_a_e,SV578: set_a > ( a > e ) > set_set_a,SV269: set_a] :
( ( ( ~ ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) ) )
= $true )
| ( ( ~ ! [SY2439: set_a,SY2440: a > e] :
( ( SV813
!= ( produc1134456688_a_a_e @ SY2439 @ SY2440 ) )
| ~ ( member_set_a @ SV269 @ ( SV578 @ SY2439 @ SY2440 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2333]) ).
thf(2668,plain,
! [SV814: set_set_set_a,SV579: set_set_a > set_set_a,SV270: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) ) )
= $true )
| ( ( ~ ! [SY2441: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2441 @ SV814 )
| ( SV270
!= ( image_1956910981_set_a @ SV579 @ SY2441 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2334]) ).
thf(2669,plain,
! [SV928: a > e,SV815: set_a,SV580: set_a > set_a,SV271: set_a] :
( ( ! [SY2541: set_a > a > e,SY2542: set_set_a] :
( ( SV271
!= ( SV580 @ SV815 ) )
| ( SV928
!= ( SY2541 @ SV815 ) )
| ~ ( member_set_a @ SV815 @ SY2542 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SY2542 @ SV580 @ SY2541 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2335]) ).
thf(2670,plain,
! [SV581: produc715398134_a_a_e,SV272: ( a > e ) > set_a > $o] :
( ( ( SV272 @ ( produc317566658_a_a_e @ SV581 ) @ ( produc1040928388_a_a_e @ SV581 ) )
= $false )
| ( ( ~ ! [SY1678: set_a,SY1679: a > e] :
~ ( SV272 @ SY1679 @ SY1678 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2671,plain,
! [SV816: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV273: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) ) )
= $true )
| ( ( ~ ! [SY2445: set_a,SY2446: a > e] :
( ( SV816
!= ( produc1134456688_a_a_e @ SY2445 @ SY2446 ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ SY2445 @ SY2446 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2337]) ).
thf(2672,plain,
! [SV583: set_Pr204296108_a_a_e,SV274: a > e] :
( ( ( member_a_e @ SV274 @ ( range_set_a_a_e @ SV583 ) )
= $false )
| ( ( ~ ! [SY2204: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2204 @ SV274 ) @ SV583 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2338]) ).
thf(2673,plain,
! [SV929: set_a,SV817: ( $o > set_a ) > set_a,SV584: $o > set_a,SV275: $o > set_a] :
( ( ~ ( ord_less_eq_o_set_a @ SV275 @ SV584 )
| ( ( SV817 @ SV584 )
!= SV929 )
| ~ ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) )
| ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2339]) ).
thf(2674,plain,
! [SV585: set_a,SV276: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV276 @ SV585 ) )
= $false )
| ( ( ~ ! [SY2209: a] :
~ ~ ( ~ ( member_a @ SY2209 @ SV276 )
| ~ ~ ( member_a @ SY2209 @ SV585 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2675,plain,
! [SV818: a,SV586: set_a,SV277: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV277 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) ) )
= $true )
| ( ( ~ ( member_a @ SV818 @ SV277 )
| ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2341]) ).
thf(2676,plain,
! [SV587: set_set_a,SV278: set_set_a] :
( ( ( SV278 = SV587 )
= $false )
| ( ( ord_le318720350_set_a @ SV278 @ SV587 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2677,plain,
! [SV930: set_a > produc715398134_a_a_e,SV819: produc715398134_a_a_e,SV588: set_set_a,SV279: set_a] :
( ( ~ ( member_set_a @ SV279 @ SV588 )
| ( SV819
!= ( SV930 @ SV279 ) )
| ( member1258382221_a_a_e @ SV819 @ ( image_210900495_a_a_e @ SV930 @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2343]) ).
thf(2678,plain,
! [SV280: produc1965228714_set_a] :
( ( ~ ! [SY2451: set_a] :
( SV280
!= ( produc479206876_set_a @ ( sK5_SY1699 @ SV280 ) @ SY2451 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2344]) ).
thf(2679,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2345]) ).
thf(2680,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
| ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $false )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2347]) ).
thf(2681,plain,
! [SV932: produc715398134_a_a_e > set_a,SV821: produc715398134_a_a_e > set_a,SV590: set_Pr204296108_a_a_e,SV283: set_Pr204296108_a_a_e] :
( ( ! [SY2545: set_set_a > set_a] :
( ( SV283 != SV590 )
| ~ ! [SY2546: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2546 @ SV590 )
| ( ( SV821 @ SY2546 )
= ( SV932 @ SY2546 ) ) )
| ( ( SY2545 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SY2545 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2682,plain,
! [SV822: set_Pr204296108_a_a_e,SV591: set_a > produc715398134_a_a_e,SV284: set_set_a] :
( ( ( ~ ! [SY2455: set_a] :
( ~ ( member_set_a @ SY2455 @ SV284 )
| ( member1258382221_a_a_e @ ( SV591 @ SY2455 ) @ SV822 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SV822 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2349]) ).
thf(2683,plain,
! [SV823: set_a,SV592: set_set_a,SV285: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV285 @ SV592 ) )
= $true )
| ( ( ~ ( member_set_a @ SV823 @ SV285 )
| ( member_set_a @ SV823 @ SV592 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2350]) ).
thf(2684,plain,
! [SV593: set_a > ( a > e ) > $o,SV286: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV286 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV593 ) ) )
= $false )
| ( ( SV593 @ ( produc1040928388_a_a_e @ SV286 ) @ ( produc317566658_a_a_e @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2685,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= ( ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2352]) ).
thf(2686,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ~ ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
| ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2354]) ).
thf(2687,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= ( ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2354]) ).
thf(2688,plain,
! [SV596: set_Pr204296108_a_a_e,SV289: set_a] :
( ( ( member_set_a @ SV289 @ ( domain_set_a_a_e @ SV596 ) )
= $false )
| ( ( ~ ! [SY2227: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV289 @ SY2227 ) @ SV596 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2689,plain,
! [SV826: set_set_a,SV597: set_set_a,SV290: set_set_a] :
( ( ( SV290 != SV597 )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV597 @ SV826 )
| ( ord_le318720350_set_a @ SV290 @ SV826 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2356]) ).
thf(2690,plain,
! [SV827: a > e,SV598: set_a,SV291: produc715398134_a_a_e > $o] :
( ( ( ~ ( SV291 @ ( produc1134456688_a_a_e @ SV598 @ SV827 ) ) )
= $true )
| ( ( produc952037978_a_e_o @ SV291 @ SV598 @ SV827 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2357]) ).
thf(2691,plain,
! [SV828: set_set_a,SV599: set_Pr204296108_a_a_e,SV292: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV292 @ SV599 )
!= SV828 )
= $true )
| ( ( ( image_1441218763_set_a @ ( image_64240033_set_a @ SV292 ) @ ( pow_Pr328302361_a_a_e @ SV599 ) )
= ( pow_set_a @ SV828 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2358]) ).
thf(2692,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( SV600 = SV934 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2359]) ).
thf(2693,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ~ ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
| ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2361]) ).
thf(2694,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= ( ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2361]) ).
thf(2695,plain,
! [SV602: set_Pr204296108_a_a_e,SV295: a > e] :
( ( ( member_a_e @ SV295 @ ( range_set_a_a_e @ SV602 ) )
= $false )
| ( ( ~ ! [SY2235: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2235 @ SV295 ) @ SV602 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2362]) ).
thf(2696,plain,
! [SV831: set_a > set_a,SV603: set_set_a,SV296: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV296 @ SV603 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV831 @ SV296 ) @ ( image_set_a_set_a @ SV831 @ SV603 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2363]) ).
thf(2697,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( SV604 = SV935 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2698,plain,
! [SV936: set_set_a,SV833: set_a,SV605: set_a > set_a,SV298: set_a] :
( ( ( SV298
!= ( SV605 @ SV833 ) )
| ~ ( member_set_a @ SV833 @ SV936 )
| ( member_set_a @ SV298 @ ( image_set_a_set_a @ SV605 @ SV936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2366]) ).
thf(2699,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( SV606 = SV937 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2700,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( SV607 = SV938 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2369]) ).
thf(2701,plain,
! [SV836: produc715398134_a_a_e > set_a,SV608: set_Pr204296108_a_a_e,SV301: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV301 @ SV608 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV836 @ SV301 ) @ ( image_64240033_set_a @ SV836 @ SV608 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2371]) ).
thf(2702,plain,
! [SV609: set_set_set_a,SV302: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV302 @ SV609 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV609 @ SV302 )
| ( SV302 = SV609 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2372]) ).
thf(2703,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2373]) ).
thf(2704,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= ( ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2373]) ).
thf(2705,plain,
! [SV304: produc715398134_a_a_e] :
( ( SV304
!= ( produc1134456688_a_a_e @ ( sK6_SY1754 @ SV304 ) @ ( sK9_SY2462 @ SV304 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2374]) ).
thf(2706,plain,
! [SV838: set_a_e,SV611: a > a > e,SV305: set_a] :
( ( ( ~ ! [SY2463: a] :
( ~ ( member_a @ SY2463 @ SV305 )
| ( member_a_e @ ( SV611 @ SY2463 ) @ SV838 ) ) )
= $true )
| ( ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SV838 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2375]) ).
thf(2707,plain,
! [SV939: set_set_set_a,SV839: set_set_a > set_set_set_a,SV612: set_set_a,SV306: set_set_a] :
( ( ~ ( ord_le318720350_set_a @ SV306 @ SV612 )
| ( ( SV839 @ SV612 )
!= SV939 )
| ~ ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) )
| ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2376]) ).
thf(2708,plain,
! [SV940: a > e,SV840: ( a > e ) > $o,SV613: set_a,SV307: set_a > $o] :
( ( ~ ( SV307 @ SV613 )
| ~ ( SV840 @ SV940 )
| ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
| ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2377]) ).
thf(2709,plain,
! [SV841: set_a > produc715398134_a_a_e,SV614: set_set_a,SV308: set_a] :
( ( ( ~ ( member_set_a @ SV308 @ SV614 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV841 @ SV308 ) @ ( image_210900495_a_a_e @ SV841 @ SV614 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2378]) ).
thf(2710,plain,
! [SV842: set_set_a,SV615: a > set_a,SV309: set_a] :
( ( ( ~ ! [SY2468: a] :
( ~ ( member_a @ SY2468 @ SV309 )
| ( member_set_a @ ( SV615 @ SY2468 ) @ SV842 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SV842 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2379]) ).
thf(2711,plain,
! [SV616: $o > set_a,SV310: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV616 @ SV310 )
| ( SV310 = SV616 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2380]) ).
thf(2712,plain,
! [SV843: set_Pr204296108_a_a_e,SV617: set_a,SV311: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV311 @ SV617 ) @ ( converse_set_a_a_e @ SV843 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV617 @ SV311 ) @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2381]) ).
thf(2713,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false )
| ( ( ~ ! [SY2260: set_a,SY2261: a > e] :
( ( SV312
!= ( produc479206876_set_a @ SY2261 @ SY2260 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2260 @ SY2261 ) @ SV618 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2714,plain,
! [SV844: set_a,SV619: a > e,SV313: set_a] :
( ( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV313 @ SV619 ) )
!= SV844 )
= $true )
| ( ( SV313 = SV844 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2383]) ).
thf(2715,plain,
! [SV845: set_a,SV620: set_a,SV314: set_a] :
( ( ( SV314 != SV620 )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV314 @ SV845 )
| ( ord_less_eq_set_a @ SV620 @ SV845 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2384]) ).
thf(2716,plain,
! [SV621: $o > set_a,SV315: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV621 @ SV315 )
| ( SV315 = SV621 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2385]) ).
thf(2717,plain,
! [SV941: set_a > set_a,SV846: set_Pr204296108_a_a_e,SV622: a > e,SV316: set_a] :
( ( ! [SY2550: ( a > e ) > a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV316 @ SV622 ) @ SV846 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SV941 @ SV316 ) @ ( SY2550 @ SV622 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV941 @ SY2550 ) @ SV846 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2718,plain,
! [SV623: set_Pr204296108_a_a_e,SV317: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV317 @ SV623 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV623 @ SV317 )
| ( SV317 = SV623 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2719,plain,
! [SV624: a > $o,SV318: a > $o] :
( ( ( ! [SY2267: a] :
( ~ ( SV318 @ SY2267 )
| ( SV624 @ SY2267 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SV624 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2388]) ).
thf(2720,plain,
! [SV847: a > e,SV625: set_a,SV319: produc715398134_a_a_e] :
( ( ( SV319
!= ( produc1134456688_a_a_e @ SV625 @ SV847 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV319 )
= SV625 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2389]) ).
thf(2721,plain,
! [SV626: set_set_a,SV320: set_set_a] :
( ( ( SV320 != SV626 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV626 @ SV320 )
| ~ ! [SY2269: set_a] :
~ ~ ( ~ ( member_set_a @ SY2269 @ SV320 )
| ~ ~ ( member_set_a @ SY2269 @ SV626 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2722,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a] :
( ( ( ~ ~ ! [SY2471: set_a] :
~ ~ ( ~ ( member_set_a @ SY2471 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SV848 @ SY2471 ) ) )
= $true )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2391]) ).
thf(2723,plain,
! [SV628: set_Pr204296108_a_a_e,SV322: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV322 @ SV628 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV628 @ SV322 )
| ( SV322 = SV628 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2724,plain,
! [SV849: set_set_a,SV629: set_set_a,SV323: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV323 @ SV629 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV849 @ SV323 )
| ( ord_le318720350_set_a @ SV849 @ SV629 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2393]) ).
thf(2725,plain,
! [SV942: produc715398134_a_a_e,SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e] :
( ( ~ ! [SY2474: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2474 @ SV324 )
| ( member_set_a @ ( SV630 @ SY2474 ) @ SV850 ) )
| ~ ( member1258382221_a_a_e @ SV942 @ SV324 )
| ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2394]) ).
thf(2726,plain,
! [SV631: set_Pr204296108_a_a_e,SV325: set_Pr204296108_a_a_e] :
( ( ( ! [SY2277: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2277 @ SV325 )
| ( member1258382221_a_a_e @ SY2277 @ SV631 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV325 @ SV631 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2727,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2728,plain,
! [SV852: a,SV633: set_a,SV327: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV327 @ SV633 ) )
= $true )
| ( ( ~ ( member_a @ SV852 @ SV327 )
| ( member_a @ SV852 @ SV633 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2398]) ).
thf(2729,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV328 )
= ( produc1040928388_a_a_e @ SV634 ) )
= $false )
| ( ( ( ( produc317566658_a_a_e @ SV328 )
!= ( produc317566658_a_a_e @ SV634 ) )
| ( SV328 = SV634 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2730,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ~ ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
| ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2400]) ).
thf(2731,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= ( ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2400]) ).
thf(2732,plain,
! [SV854: set_a > set_set_a,SV636: set_set_a,SV330: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV330 @ SV636 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ SV854 @ SV330 ) @ ( image_1930509541_set_a @ SV854 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2401]) ).
thf(2733,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ SV637 ) )
= $true )
| ( ( ~ ! [SY2285: set_a] :
( ~ ( SV331 @ SY2285 )
| ( ord_less_eq_set_a @ SY2285 @ SV637 ) )
| ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2402]) ).
thf(2734,plain,
! [SV944: produc715398134_a_a_e > set_a,SV856: set_a,SV638: set_Pr204296108_a_a_e,SV332: produc715398134_a_a_e] :
( ( ~ ( member1258382221_a_a_e @ SV332 @ SV638 )
| ( SV856
!= ( SV944 @ SV332 ) )
| ( member_set_a @ SV856 @ ( image_64240033_set_a @ SV944 @ SV638 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2735,plain,
! [SV857: set_a,SV639: set_a > a,SV333: set_set_a] :
( ( ( ~ ! [SY2480: set_a] :
( ~ ( member_set_a @ SY2480 @ SV333 )
| ( member_a @ ( SV639 @ SY2480 ) @ SV857 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SV857 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2404]) ).
thf(2736,plain,
! [SV858: set_set_a,SV640: set_a > set_set_a,SV334: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) ) )
= $true )
| ( ( ~ ! [SY2481: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2481 @ SV858 )
| ( SV334
!= ( image_1930509541_set_a @ SV640 @ SY2481 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2405]) ).
thf(2737,plain,
! [SV859: set_a,SV641: ( a > e ) > a,SV335: set_a_e] :
( ( ( ~ ! [SY2482: a > e] :
( ~ ( member_a_e @ SY2482 @ SV335 )
| ( member_a @ ( SV641 @ SY2482 ) @ SV859 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SV859 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2406]) ).
thf(2738,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ~ ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2407]) ).
thf(2739,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= ( ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2407]) ).
thf(2740,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2408]) ).
thf(2741,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= ( ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2408]) ).
thf(2742,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ~ ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
| ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2409]) ).
thf(2743,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= ( ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2409]) ).
thf(2744,plain,
! [SV863: $o > set_a,SV645: $o > set_a,SV339: $o > set_a] :
( ( ( SV339 != SV645 )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 )
| ( ord_less_eq_o_set_a @ SV339 @ SV863 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2410]) ).
thf(2745,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2411]) ).
thf(2746,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ( SV341 @ SV11 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ~ ( SV341 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2747,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ( SV342 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ~ ( SV342 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2748,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ( ord_less_eq_set_a @ SV17 @ SV344 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2749,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( ~ ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2416]) ).
thf(2750,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( ~ ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2418]) ).
thf(2751,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( ~ ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2420]) ).
thf(2752,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( ~ ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2422]) ).
thf(2753,plain,
! [SV37: set_a] :
( ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 != top_top_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2754,plain,
! [SV37: set_a] :
( ( ( SV37 = top_top_set_a )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 != top_top_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2755,plain,
! [SV358: set_a] :
( ( ( ( top_top_set_a_o @ SV358 )
| ( member_set_a @ SV358 @ top_top_set_set_a ) )
= $false )
| ( ( ~ ( ~ ( top_top_set_a_o @ SV358 )
| ~ ( member_set_a @ SV358 @ top_top_set_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2756,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ( top_to2000253225_a_e_o @ SV359 )
| ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
= $false )
| ( ( ~ ( ~ ( top_to2000253225_a_e_o @ SV359 )
| ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2428]) ).
thf(2757,plain,
! [SV866: set_a > ( a > e ) > $o,SV360: set_a > set_a > $o] :
( ( ! [SV945: produc715398134_a_a_e] :
( ( bNF_sn375433437_a_a_e @ SV360 @ SV866 @ SV945 )
= ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV360 @ SV866 @ ( produc1040928388_a_a_e @ SV945 ) @ ( produc317566658_a_a_e @ SV945 ) ) @ ( produc317566658_a_a_e @ SV945 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2429]) ).
thf(2758,plain,
! [SV866: set_a > ( a > e ) > $o,SV360: set_a > set_a > $o] :
( ( ( bNF_sn375433437_a_a_e @ SV360 @ SV866 )
= ( ^ [SY2486: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV360 @ SV866 @ ( produc1040928388_a_a_e @ SY2486 ) @ ( produc317566658_a_a_e @ SY2486 ) ) @ ( produc317566658_a_a_e @ SY2486 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2429]) ).
thf(2759,plain,
! [SV867: ( a > e ) > ( a > e ) > $o,SV361: set_a > ( a > e ) > $o] :
( ( ! [SV946: produc715398134_a_a_e] :
( ( bNF_fs1024561536_e_a_e @ SV361 @ SV867 @ SV946 )
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SV946 ) @ ( bNF_pi1175744974_e_a_e @ SV361 @ SV867 @ ( produc1040928388_a_a_e @ SV946 ) @ ( produc317566658_a_a_e @ SV946 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2430]) ).
thf(2760,plain,
! [SV867: ( a > e ) > ( a > e ) > $o,SV361: set_a > ( a > e ) > $o] :
( ( ( bNF_fs1024561536_e_a_e @ SV361 @ SV867 )
= ( ^ [SY2487: produc715398134_a_a_e] : ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SY2487 ) @ ( bNF_pi1175744974_e_a_e @ SV361 @ SV867 @ ( produc1040928388_a_a_e @ SY2487 ) @ ( produc317566658_a_a_e @ SY2487 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2430]) ).
thf(2761,plain,
! [SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ! [SV947: a > e] :
( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV947 )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV947 ) @ SV362 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2431]) ).
thf(2762,plain,
! [SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 )
= ( ^ [SY2488: a > e] : ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SY2488 ) @ SV362 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2431]) ).
thf(2763,plain,
! [SV657: set_a,SV363: a > set_a,SV48: set_set_a] :
( ( ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
= $false )
| ( ( ~ ! [SY2308: set_a] :
( ~ ( ord_less_eq_set_a @ SY2308 @ SV657 )
| ( SV48
!= ( image_a_set_a @ SV363 @ SY2308 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2432]) ).
thf(2764,plain,
! [SV658: set_a > set_a,SV364: set_set_a,SV49: set_a] :
( ( ( member_set_a @ SV49 @ SV364 )
= $false )
| ( ( member_set_a @ ( SV658 @ SV49 ) @ ( image_set_a_set_a @ SV658 @ SV364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2433]) ).
thf(2765,plain,
! [SV659: set_a,SV365: set_set_a,SV50: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV50 @ SV365 )
| ( ord_le318720350_set_a @ SV365 @ SV50 ) )
= $false )
| ( ( ~ ~ ( member_set_a @ SV659 @ SV50 )
| ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2434]) ).
thf(2766,plain,
! [SV660: set_set_set_a,SV366: set_set_a > set_a,SV51: set_set_a] :
( ( ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
= $false )
| ( ( ~ ! [SY2309: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2309 @ SV660 )
| ( SV51
!= ( image_402591269_set_a @ SV366 @ SY2309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2767,plain,
! [SV869: set_a > ( a > e ) > $o,SV661: set_Pr305929312_set_a,SV367: a > e,SV52: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) ) )
= $true )
| ( ( ~ ! [SY2489: a > e,SY2490: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2489 @ SY2490 ) @ SV661 )
| ( SV869 @ SY2490 @ SY2489 ) )
| ( SV869 @ SV52 @ SV367 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2436]) ).
thf(2768,plain,
! [SV662: set_a > $o,SV368: set_Pr204296108_a_a_e,SV53: set_a] :
( ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false )
| ( ( ~ ! [SY2313: set_a,SY2314: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2313 @ SY2314 ) @ SV368 )
| ( SV662 @ SY2313 ) )
| ( SV662 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2769,plain,
! [SV870: set_set_a,SV663: set_a,SV369: set_a > produc715398134_a_a_e,SV54: produc715398134_a_a_e] :
( ( ( SV54
!= ( SV369 @ SV663 ) )
= $true )
| ( ( ~ ( member_set_a @ SV663 @ SV870 )
| ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SV369 @ SV870 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2438]) ).
thf(2770,plain,
! [SV664: set_Pr204296108_a_a_e,SV370: produc715398134_a_a_e > set_a,SV55: set_set_a] :
( ( ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
= $false )
| ( ( ~ ! [SY2316: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2316 @ SV664 )
| ( SV55
!= ( image_64240033_set_a @ SV370 @ SY2316 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2439]) ).
thf(2771,plain,
! [SV56: set_a] :
( ( ( ord_less_eq_set_a @ a1 @ SV56 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ a2 @ SV56 )
| ~ ( ord_less_eq_set_a @ a3 @ SV56 )
| thesis )
= $true )
| ( ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2772,plain,
! [SV665: set_set_a,SV371: set_set_a,SV58: set_set_a] :
( ( ( ord_le318720350_set_a @ SV58 @ SV371 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV371 @ SV665 )
| ( ord_le318720350_set_a @ SV58 @ SV665 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2773,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ( ! [SY1878: a > e,SY1879: set_a] :
( ( SV59
!= ( produc1134456688_a_a_e @ SY1879 @ SY1878 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY1878 @ SY1879 ) @ SV372 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2774,plain,
! [SV666: set_set_set_a,SV373: set_set_set_a,SV60: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV60 @ SV373 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV373 @ SV666 )
| ( ord_le2103863998_set_a @ SV60 @ SV666 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2775,plain,
! [SV871: $o > set_a,SV667: set_a > $o > set_a,SV374: set_a,SV61: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV61 @ SV374 ) )
= $true )
| ( ( ( ( SV667 @ SV374 )
!= SV871 )
| ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2445]) ).
thf(2776,plain,
! [SV62: set_Pr204296108_a_a_e,SV375: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV375 @ SV62 ) )
= $true )
| ( ( SV375 = SV62 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV62 @ SV375 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2446]) ).
thf(2777,plain,
! [SV63: set_a,SV376: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV376 @ SV63 ) )
= $true )
| ( ( SV63 = SV376 )
= $true )
| ( ( ord_less_eq_set_a @ SV63 @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2447]) ).
thf(2778,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ~ ( ( SV377 = SV872 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
| ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2448]) ).
thf(2779,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2448]) ).
thf(2780,plain,
! [SV669: set_a,SV378: produc715398134_a_a_e > a,SV65: set_Pr204296108_a_a_e] :
( ( ( ! [SY2320: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2320 @ SV65 )
| ( member_a @ ( SV378 @ SY2320 ) @ SV669 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SV669 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2781,plain,
! [SV873: set_set_set_a,SV670: set_a > set_set_set_a,SV379: set_a,SV66: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV66 @ SV379 ) )
= $true )
| ( ( ( ( SV670 @ SV379 )
!= SV873 )
| ~ ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) )
| ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2450]) ).
thf(2782,plain,
! [SV380: set_a,SV67: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV67 @ SV380 )
| ~ ( ord_less_eq_set_a @ SV380 @ SV67 ) )
= $false )
| ( ( SV67 = SV380 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2783,plain,
! [SV671: $o > set_a,SV381: $o > set_a,SV68: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV68 @ SV381 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV381 @ SV671 )
| ( ord_less_eq_o_set_a @ SV68 @ SV671 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2784,plain,
! [SV672: set_Pr204296108_a_a_e,SV382: produc715398134_a_a_e > produc715398134_a_a_e,SV69: set_Pr204296108_a_a_e] :
( ( ( ! [SY2324: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2324 @ SV69 )
| ( member1258382221_a_a_e @ ( SV382 @ SY2324 ) @ SV672 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SV672 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2785,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2454]) ).
thf(2786,plain,
! [SV674: set_a > a,SV384: set_set_a,SV71: set_set_a] :
( ( ( ord_le318720350_set_a @ SV71 @ SV384 )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV674 @ SV71 ) @ ( image_set_a_a @ SV674 @ SV384 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2787,plain,
! [SV675: produc715398134_a_a_e,SV385: set_Pr204296108_a_a_e,SV72: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV72 @ SV385 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV675 @ SV72 )
| ( member1258382221_a_a_e @ SV675 @ SV385 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2788,plain,
! [SV874: set_a,SV676: set_a > set_a,SV387: set_a,SV74: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV74 @ SV387 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
| ~ ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) )
| ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2459]) ).
thf(2789,plain,
! [SV677: set_a,SV388: set_a,SV75: set_a] :
( ( ( ord_less_eq_set_a @ SV75 @ SV388 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV388 @ SV677 )
| ( ord_less_eq_set_a @ SV75 @ SV677 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2790,plain,
! [SV875: $o > set_a,SV678: set_set_a > $o > set_a,SV389: set_set_a,SV76: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV76 @ SV389 ) )
= $true )
| ( ( ( ( SV678 @ SV389 )
!= SV875 )
| ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2791,plain,
! [SV679: a > e,SV390: set_a,SV77: produc715398134_a_a_e] :
( ( ( SV77
= ( produc1134456688_a_a_e @ SV390 @ SV679 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV77 )
= SV679 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2792,plain,
! [SV680: set_Pr204296108_a_a_e,SV391: a > e,SV78: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV78 @ SV391 ) @ SV680 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV391 @ SV78 ) @ ( converse_set_a_a_e @ SV680 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2793,plain,
! [SV876: $o > set_a,SV681: $o > set_a,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e] :
( ( ( SV79
!= ( SV392 @ SV681 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV681 @ SV876 )
| ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2794,plain,
! [SV877: set_a,SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a] :
( ( ( ~ ! [SY2337: set_a] :
( ~ ( member_set_a @ SY2337 @ SV80 )
| ( member_set_a @ ( SV393 @ SY2337 ) @ SV682 ) ) )
= $true )
| ( ( ~ ( member_set_a @ SV877 @ SV80 )
| ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2465]) ).
thf(2795,plain,
! [SV878: set_a,SV683: set_a,SV394: set_a > set_a,SV81: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV683 @ SV878 )
| ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2466]) ).
thf(2796,plain,
! [SV82: set_set_set_a,SV395: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV395 @ SV82 ) )
= $true )
| ( ( SV82 = SV395 )
= $true )
| ( ( ord_le2103863998_set_a @ SV82 @ SV395 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2467]) ).
thf(2797,plain,
! [SV684: set_Pr204296108_a_a_e,SV396: set_Pr204296108_a_a_e,SV83: set_Pr204296108_a_a_e] :
( ( ( SV83 = SV396 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV396 @ SV684 )
| ( ord_le700723212_a_a_e @ SV83 @ SV684 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2798,plain,
! [SV685: produc715398134_a_a_e,SV397: produc715398134_a_a_e > set_a,SV84: set_a] :
( ( ( SV84
= ( SV397 @ SV685 ) )
= $false )
| ( ( member_set_a @ SV84 @ ( image_64240033_set_a @ SV397 @ top_to1601855068_a_a_e ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2799,plain,
! [SV686: set_set_set_a,SV398: set_set_set_a,SV85: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV85 @ SV398 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV398 @ SV686 )
| ( ord_le2103863998_set_a @ SV85 @ SV686 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2470]) ).
thf(2800,plain,
! [SV687: set_a,SV399: a > a,SV86: set_a] :
( ( ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
= $false )
| ( ( ~ ! [SY2341: set_a] :
( ~ ( ord_less_eq_set_a @ SY2341 @ SV687 )
| ( SV86
!= ( image_a_a @ SV399 @ SY2341 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2801,plain,
! [SV879: a > e,SV688: set_a,SV400: a > e,SV87: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
!= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $true )
| ( ( ~ ( ( SV87 != SV688 )
| ( SV400 != SV879 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2472]) ).
thf(2802,plain,
! [SV88: set_set_a,SV401: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK10_SY1930 @ SV401 @ SV88 ) @ SV88 )
| ( member_set_a @ ( sK10_SY1930 @ SV401 @ SV88 ) @ SV401 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV88 @ SV401 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2473]) ).
thf(2803,plain,
! [SV880: set_a,SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a] :
( ( ( ~ ! [SY2344: set_a] :
( ~ ( member_set_a @ SY2344 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SY2344 ) @ SV689 ) ) )
= $true )
| ( ( ~ ( member_set_a @ SV880 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2474]) ).
thf(2804,plain,
! [SV881: set_Pr204296108_a_a_e,SV690: produc715398134_a_a_e,SV403: produc715398134_a_a_e > produc715398134_a_a_e,SV90: produc715398134_a_a_e] :
( ( ( SV90
!= ( SV403 @ SV690 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV690 @ SV881 )
| ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SV403 @ SV881 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2475]) ).
thf(2805,plain,
! [SV691: ( a > e ) > ( a > e ) > $o,SV404: set_a > ( a > e ) > $o,SV91: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV91 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom658603713_e_a_e @ SV404 @ SV691 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( bNF_fs1024561536_e_a_e @ SV404 @ SV691 @ SV91 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV404 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2806,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ~ ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2477]) ).
thf(2807,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ~ ( ( SV406 = SV882 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
| ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2479]) ).
thf(2808,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( SV406 = SV882 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2479]) ).
thf(2809,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2480]) ).
thf(2810,plain,
! [SV948: set_set_a > set_a,SV883: produc715398134_a_a_e > set_a,SV695: produc715398134_a_a_e > set_a,SV408: set_Pr204296108_a_a_e,SV95: set_Pr204296108_a_a_e] :
( ( ( SV95 != SV408 )
| ~ ! [SY2506: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2506 @ SV408 )
| ( ( SV695 @ SY2506 )
= ( SV883 @ SY2506 ) ) )
| ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2811,plain,
! [SV696: set_a,SV409: set_a,SV96: set_a] :
( ( ( SV96 = SV409 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV696 @ SV96 )
| ( ord_less_eq_set_a @ SV696 @ SV409 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2812,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ~ ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2484]) ).
thf(2813,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= ( ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2484]) ).
thf(2814,plain,
! [SV98: set_set_set_a,SV411: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV411 @ SV98 ) )
= $true )
| ( ( SV411 = SV98 )
= $true )
| ( ( ord_le2103863998_set_a @ SV98 @ SV411 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2485]) ).
thf(2815,plain,
! [SV698: set_set_set_a,SV412: set_set_set_a,SV100: set_set_set_a] :
( ( ( SV100 = SV412 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV412 @ SV698 )
| ( ord_le2103863998_set_a @ SV100 @ SV698 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2816,plain,
! [SV699: set_a > ( a > e ) > $o,SV413: set_a > set_a > $o,SV101: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV101 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ ( relcom779348378_a_a_e @ SV413 @ SV699 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( bNF_sn375433437_a_a_e @ SV413 @ SV699 @ SV101 ) @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV699 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2487]) ).
thf(2817,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2488]) ).
thf(2818,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ( ( produc1040928388_a_a_e @ SV104 )
!= ( produc1040928388_a_a_e @ SV416 ) )
| ( ( produc317566658_a_a_e @ SV104 )
!= ( produc317566658_a_a_e @ SV416 ) ) )
= $true )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2491]) ).
thf(2819,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 = SV105 ) )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 != SV105 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2492]) ).
thf(2820,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= ( SV417 = SV105 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2492]) ).
thf(2821,plain,
! [SV701: ( a > e ) > $o,SV418: set_Pr204296108_a_a_e,SV106: a > e] :
( ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false )
| ( ( ~ ! [SY2352: set_a,SY2353: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2352 @ SY2353 ) @ SV418 )
| ( SV701 @ SY2353 ) )
| ( SV701 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2493]) ).
thf(2822,plain,
! [SV702: set_Pr204296108_a_a_e,SV420: set_Pr204296108_a_a_e,SV108: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV108 @ SV420 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV420 @ SV702 )
| ( ord_le700723212_a_a_e @ SV108 @ SV702 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2823,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ~ ( ( SV421 = SV885 )
| ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
| ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2496]) ).
thf(2824,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( SV421 = SV885 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2496]) ).
thf(2825,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2497]) ).
thf(2826,plain,
! [SV705: set_set_a > a,SV423: set_set_set_a,SV111: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV111 @ SV423 )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_set_a_a @ SV705 @ SV111 ) @ ( image_set_set_a_a @ SV705 @ SV423 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2499]) ).
thf(2827,plain,
! [SV949: produc715398134_a_a_e > a > e,SV886: a > e,SV706: produc715398134_a_a_e,SV424: produc715398134_a_a_e > set_a,SV112: set_a] :
( ( ! [SY2553: set_Pr204296108_a_a_e] :
( ( SV112
!= ( SV424 @ SV706 ) )
| ( SV886
!= ( SV949 @ SV706 ) )
| ~ ( member1258382221_a_a_e @ SV706 @ SY2553 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SY2553 @ SV424 @ SV949 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2828,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ~ ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2501]) ).
thf(2829,plain,
! [SV887: ( a > e ) > set_a > $o,SV708: set_Pr204296108_a_a_e,SV426: set_a,SV114: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) ) )
= $true )
| ( ( ~ ! [SY2509: set_a,SY2510: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2509 @ SY2510 ) @ SV708 )
| ( SV887 @ SY2510 @ SY2509 ) )
| ( SV887 @ SV114 @ SV426 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2503]) ).
thf(2830,plain,
! [SV709: set_a,SV427: a > a,SV115: set_a] :
( ( ( ! [SY2363: a] :
( ~ ( member_a @ SY2363 @ SV115 )
| ( member_a @ ( SV427 @ SY2363 ) @ SV709 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SV709 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2504]) ).
thf(2831,plain,
! [SV428: set_a > produc715398134_a_a_e,SV116: produc715398134_a_a_e > set_a] :
( ( ( ( SV116 @ ( SV428 @ ( sK11_SY1975 @ SV428 @ SV116 ) ) )
= ( sK11_SY1975 @ SV428 @ SV116 ) )
= $false )
| ( ( ( image_64240033_set_a @ SV116 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2505]) ).
thf(2832,plain,
! [SV888: set_set_a,SV710: set_set_a > set_set_a,SV429: set_set_a,SV117: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV117 @ SV429 ) )
= $true )
| ( ( ( ( SV710 @ SV429 )
!= SV888 )
| ~ ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) )
| ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2506]) ).
thf(2833,plain,
! [SV711: set_set_set_a,SV430: set_set_set_a,SV118: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV118 @ SV430 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV711 @ SV118 )
| ( ord_le2103863998_set_a @ SV711 @ SV430 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2507]) ).
thf(2834,plain,
! [SV119: produc715398134_a_a_e > set_a,SV431: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV431 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
= $true )
| ( ( ( image_2101504031_set_a @ ( produc387505142_set_a @ SV119 @ SV431 ) @ top_to970499581_a_a_e )
= top_to144004695_set_a )
= $true )
| ( ( ( image_64240033_set_a @ SV119 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2508]) ).
thf(2835,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ~ ( ( SV432 = SV889 )
| ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
| ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2509]) ).
thf(2836,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 = SV889 )
= ( ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2509]) ).
thf(2837,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2510]) ).
thf(2838,plain,
! [SV122: $o > set_a,SV434: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV434 @ SV122 ) )
= $true )
| ( ( SV434 = SV122 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2512]) ).
thf(2839,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2513]) ).
thf(2840,plain,
! [SV715: set_set_a,SV436: set_Pr204296108_a_a_e,SV124: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV124 @ SV436 ) @ SV715 )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV124 ) @ ( pow_Pr328302361_a_a_e @ SV436 ) ) @ ( pow_set_a @ SV715 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2515]) ).
thf(2841,plain,
! [SV890: set_a,SV437: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV437 @ SV890 )
| ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2516]) ).
thf(2842,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= ( ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2516]) ).
thf(2843,plain,
! [SV891: set_set_a,SV717: set_a,SV438: set_a > a > e,SV126: a > e] :
( ( ( SV126
!= ( SV438 @ SV717 ) )
= $true )
| ( ( ~ ( member_set_a @ SV717 @ SV891 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2517]) ).
thf(2844,plain,
! [SV439: $o > set_a,SV127: $o > set_a] :
( ( ( ! [SV950: $o] :
( ( SV127 @ SV950 )
= ( SV439 @ SV950 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV127 @ SV439 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2518]) ).
thf(2845,plain,
! [SV439: $o > set_a,SV127: $o > set_a] :
( ( ( SV127 = SV439 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV127 @ SV439 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2518]) ).
thf(2846,plain,
! [SV718: set_a,SV441: set_a,SV129: set_a] :
( ( ( ord_less_eq_set_a @ SV129 @ SV441 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV441 @ SV718 )
| ( ord_less_eq_set_a @ SV129 @ SV718 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2520]) ).
thf(2847,plain,
! [SV719: a,SV442: set_a,SV130: set_a] :
( ( ( ( ord_less_eq_set_a @ SV130 @ SV442 )
| ( ord_less_eq_set_a @ SV442 @ SV130 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV719 @ SV130 )
| ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2521]) ).
thf(2848,plain,
! [SV720: $o > set_a,SV443: $o > set_a,SV131: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV131 @ SV443 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV720 @ SV131 )
| ( ord_less_eq_o_set_a @ SV720 @ SV443 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2522]) ).
thf(2849,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2523]) ).
thf(2850,plain,
! [SV721: set_set_a,SV445: set_a > set_a,SV133: set_set_a] :
( ( ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
= $false )
| ( ( ~ ! [SY2371: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2371 @ SV721 )
| ( SV133
!= ( image_set_a_set_a @ SV445 @ SY2371 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2851,plain,
! [SV134: set_Pr204296108_a_a_e,SV446: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV446 @ SV134 ) )
= $true )
| ( ( SV134 = SV446 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV134 @ SV446 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2525]) ).
thf(2852,plain,
! [SV722: a > e,SV447: a > e,SV135: set_a] :
( ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
= SV722 )
= $false )
| ( ( SV447 = SV722 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2526]) ).
thf(2853,plain,
! [SV892: set_Pr204296108_a_a_e,SV723: produc715398134_a_a_e,SV448: produc715398134_a_a_e > set_a,SV136: set_a] :
( ( ( SV136
!= ( SV448 @ SV723 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV723 @ SV892 )
| ( member_set_a @ SV136 @ ( image_64240033_set_a @ SV448 @ SV892 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2527]) ).
thf(2854,plain,
! [SV449: set_a,SV137: set_a] :
( ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true )
| ( ( ~ ! [SY2002: a] :
~ ~ ( ~ ( member_a @ SY2002 @ SV137 )
| ~ ~ ( member_a @ SY2002 @ SV449 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2528]) ).
thf(2855,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 = SV138 ) )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2529]) ).
thf(2856,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= ( SV450 = SV138 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2529]) ).
thf(2857,plain,
! [SV724: set_set_set_a,SV451: set_set_set_a,SV139: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV139 @ SV451 )
= $false )
| ( ( ( SV451 != SV724 )
| ( ord_le2103863998_set_a @ SV139 @ SV724 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2530]) ).
thf(2858,plain,
! [SV725: $o > set_a,SV452: $o > set_a,SV140: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV140 @ SV452 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV452 @ SV725 )
| ( ord_less_eq_o_set_a @ SV140 @ SV725 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2531]) ).
thf(2859,plain,
! [SV893: set_a,SV453: set_a] :
( ( ~ ( ( SV453 = SV893 )
| ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
| ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2532]) ).
thf(2860,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( SV453 = SV893 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2532]) ).
thf(2861,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2533]) ).
thf(2862,plain,
! [SV727: set_set_set_a,SV455: set_set_a > a,SV143: set_a] :
( ( ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
= $false )
| ( ( ~ ! [SY2373: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2373 @ SV727 )
| ( SV143
!= ( image_set_set_a_a @ SV455 @ SY2373 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2863,plain,
! [SV144: set_Pr204296108_a_a_e,SV456: set_Pr204296108_a_a_e] :
( ( ( ! [SY2554: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK12_SY2010 @ SV456 @ SV144 ) @ SY2554 ) @ SV144 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK12_SY2010 @ SV456 @ SV144 ) @ SY2554 ) @ SV456 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV144 @ SV456 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2535]) ).
thf(2864,plain,
! [SV145: set_a,SV457: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV457 @ SV145 ) )
= $true )
| ( ( SV145 = SV457 )
= $true )
| ( ( ord_less_eq_set_a @ SV145 @ SV457 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2536]) ).
thf(2865,plain,
! [SV728: set_Pr305929312_set_a,SV458: a > e,SV146: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV146 @ SV458 ) @ ( converse_a_e_set_a @ SV728 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV458 @ SV146 ) @ SV728 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2866,plain,
! [SV729: set_Pr204296108_a_a_e,SV459: set_a,SV147: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV147 @ SV459 ) @ ( converse_set_a_a_e @ SV729 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV459 @ SV147 ) @ SV729 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2538]) ).
thf(2867,plain,
! [SV730: set_a,SV460: a > e,SV148: ( a > e ) > set_a > $o] :
( ( ( SV148 @ SV460 @ SV730 )
= $false )
| ( ( SV148 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV730 @ SV460 ) ) @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV730 @ SV460 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2539]) ).
thf(2868,plain,
! [SV731: set_set_a,SV461: set_set_a,SV149: set_set_a] :
( ( ( ord_le318720350_set_a @ SV149 @ SV461 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV461 @ SV731 )
| ( ord_le318720350_set_a @ SV149 @ SV731 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2869,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV462 @ SV894 )
| ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2541]) ).
thf(2870,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= ( ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2541]) ).
thf(2871,plain,
! [SV733: a > a,SV464: set_a,SV152: set_a] :
( ( ( ord_less_eq_set_a @ SV152 @ SV464 )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV733 @ SV152 ) @ ( image_a_a @ SV733 @ SV464 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2543]) ).
thf(2872,plain,
! [SV895: set_a_e,SV734: a > e,SV465: ( a > e ) > a,SV153: a] :
( ( ( SV153
!= ( SV465 @ SV734 ) )
= $true )
| ( ( ~ ( member_a_e @ SV734 @ SV895 )
| ( member_a @ SV153 @ ( image_a_e_a @ SV465 @ SV895 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2544]) ).
thf(2873,plain,
! [SV735: set_set_a,SV466: set_a > set_a,SV154: set_set_a] :
( ( ( ! [SY2376: set_a] :
( ~ ( member_set_a @ SY2376 @ SV154 )
| ( member_set_a @ ( SV466 @ SY2376 ) @ SV735 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SV735 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2545]) ).
thf(2874,plain,
! [SV896: set_Pr204296108_a_a_e,SV736: ( a > e ) > a > e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) ) )
= $true )
| ( ( ~ ! [SY2515: set_a,SY2516: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ SY2515 ) @ ( SV736 @ SY2516 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2515 @ SY2516 ) @ SV896 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2546]) ).
thf(2875,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ~ ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 = SV156 ) )
| ~ ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 != SV156 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2547]) ).
thf(2876,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= ( SV468 = SV156 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2547]) ).
thf(2877,plain,
! [SV737: set_set_a > set_set_a,SV469: set_set_set_a,SV157: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV157 @ SV469 )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_1956910981_set_a @ SV737 @ SV157 ) @ ( image_1956910981_set_a @ SV737 @ SV469 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2548]) ).
thf(2878,plain,
! [SV738: set_Pr204296108_a_a_e,SV470: a > e,SV158: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV158 @ SV470 ) @ SV738 )
= $false )
| ( ( member_a_e @ SV470 @ ( range_set_a_a_e @ SV738 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2549]) ).
thf(2879,plain,
! [SV471: set_Pr204296108_a_a_e,SV159: set_Pr204296108_a_a_e] :
( ( ( SV159 = SV471 )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV471 @ SV159 )
| ~ ! [SY2029: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2029 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY2029 @ SV471 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2550]) ).
thf(2880,plain,
! [SV739: set_a,SV472: a > set_set_a,SV160: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
= $false )
| ( ( ~ ! [SY2380: set_a] :
( ~ ( ord_less_eq_set_a @ SY2380 @ SV739 )
| ( SV160
!= ( image_a_set_set_a @ SV472 @ SY2380 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2551]) ).
thf(2881,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(2882,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ~ ( ( SV474 = SV897 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
| ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2553]) ).
thf(2883,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( SV474 = SV897 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2553]) ).
thf(2884,plain,
! [SV163: set_set_a,SV475: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV475 @ SV163 ) )
= $true )
| ( ( SV475 = SV163 )
= $true )
| ( ( ord_le318720350_set_a @ SV163 @ SV475 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2554]) ).
thf(2885,plain,
! [SV741: set_Pr204296108_a_a_e,SV476: set_Pr204296108_a_a_e,SV164: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV164 @ SV476 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV741 @ SV164 )
| ( ord_le700723212_a_a_e @ SV741 @ SV476 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2555]) ).
thf(2886,plain,
! [SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV742: set_a_e,SV477: set_Pr204296108_a_a_e,SV165: set_set_a] :
( ( ( SV165
!= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
| ( SV742
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
| ~ ! [SY2555: set_a] :
( ~ ( member_set_a @ SY2555 @ SV165 )
| ! [SY2556: a > e] :
( ~ ( member_a_e @ SY2556 @ SV742 )
| ~ ( SV898 @ SY2555 @ SY2556 )
| ( SV951 @ SY2555 @ SY2556 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2556]) ).
thf(2887,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 = SV166 ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 != SV166 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2557]) ).
thf(2888,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= ( SV478 = SV166 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2557]) ).
thf(2889,plain,
! [SV743: a > set_set_a,SV480: set_a,SV168: set_a] :
( ( ( ord_less_eq_set_a @ SV168 @ SV480 )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_a_set_set_a @ SV743 @ SV168 ) @ ( image_a_set_set_a @ SV743 @ SV480 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2559]) ).
thf(2890,plain,
! [SV899: set_set_a,SV744: set_a > set_set_a,SV481: set_a,SV169: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV169 @ SV481 ) )
= $true )
| ( ( ( ( SV744 @ SV481 )
!= SV899 )
| ~ ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) )
| ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2560]) ).
thf(2891,plain,
! [SV170: set_a,SV482: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV482 @ SV170 ) )
= $true )
| ( ( SV482 = SV170 )
= $true )
| ( ( ord_less_eq_set_a @ SV170 @ SV482 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2561]) ).
thf(2892,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ~ ( ( ord_le318720350_set_a @ SV483 @ SV900 )
| ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
| ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2562]) ).
thf(2893,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= ( ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2562]) ).
thf(2894,plain,
! [SV746: produc715398134_a_a_e > set_a,SV484: set_Pr204296108_a_a_e,SV172: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV172 @ SV484 )
= $false )
| ( ( member_set_a @ ( SV746 @ SV172 ) @ ( image_64240033_set_a @ SV746 @ SV484 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2563]) ).
thf(2895,plain,
! [SV747: set_set_a,SV485: produc715398134_a_a_e > set_a,SV173: set_Pr204296108_a_a_e] :
( ( ( ! [SY2389: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2389 @ SV173 )
| ( member_set_a @ ( SV485 @ SY2389 ) @ SV747 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SV747 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2564]) ).
thf(2896,plain,
! [SV748: set_set_a,SV486: set_set_a,SV174: set_set_a] :
( ( ( ord_le318720350_set_a @ SV174 @ SV486 )
= $false )
| ( ( ( SV486 != SV748 )
| ( ord_le318720350_set_a @ SV174 @ SV748 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2565]) ).
thf(2897,plain,
! [SV901: set_set_a,SV749: set_a,SV487: set_a > a,SV175: a] :
( ( ( SV175
!= ( SV487 @ SV749 ) )
= $true )
| ( ( ~ ( member_set_a @ SV749 @ SV901 )
| ( member_a @ SV175 @ ( image_set_a_a @ SV487 @ SV901 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2566]) ).
thf(2898,plain,
! [SV488: set_set_a,SV176: set_set_a] :
( ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true )
| ( ( ~ ! [SY2055: set_a] :
~ ~ ( ~ ( member_set_a @ SY2055 @ SV176 )
| ~ ~ ( member_set_a @ SY2055 @ SV488 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2567]) ).
thf(2899,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2568]) ).
thf(2900,plain,
! [SV178: produc715398134_a_a_e > set_a,SV490: set_a] :
( ( ( ! [SY2057: produc715398134_a_a_e] :
( SV490
!= ( SV178 @ SY2057 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV178 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2569]) ).
thf(2901,plain,
! [SV750: set_a,SV491: set_a,SV179: set_a] :
( ( ( SV179 = SV491 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV491 @ SV750 )
| ( ord_less_eq_set_a @ SV179 @ SV750 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2570]) ).
thf(2902,plain,
! [SV751: set_a,SV492: set_a,SV180: set_a] :
( ( ( ord_less_eq_set_a @ SV180 @ SV492 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV751 @ SV180 )
| ( ord_less_eq_set_a @ SV751 @ SV492 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2903,plain,
! [SV181: set_set_a,SV493: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV493 @ SV181 ) )
= $true )
| ( ( SV181 = SV493 )
= $true )
| ( ( ord_le318720350_set_a @ SV181 @ SV493 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2572]) ).
thf(2904,plain,
! [SV752: a > e,SV494: set_a,SV182: produc715398134_a_a_e > $o] :
( ( ( produc952037978_a_e_o @ SV182 @ SV494 @ SV752 )
= $false )
| ( ( SV182 @ ( produc1134456688_a_a_e @ SV494 @ SV752 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2573]) ).
thf(2905,plain,
! [SV183: set_a,SV495: set_a] :
( ( ( ~ ( member_a @ ( sK13_SY2061 @ SV495 @ SV183 ) @ SV183 )
| ( member_a @ ( sK13_SY2061 @ SV495 @ SV183 ) @ SV495 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV183 @ SV495 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2574]) ).
thf(2906,plain,
! [SV902: produc715398134_a_a_e,SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2392: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2392 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SY2392 ) @ SV753 ) ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2575]) ).
thf(2907,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( ~ ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2576]) ).
thf(2908,plain,
! [SV903: $o > set_a,SV755: $o > set_a,SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a] :
( ( ( SV186
!= ( SV498 @ SV755 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV755 @ SV903 )
| ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2578]) ).
thf(2909,plain,
! [SV756: set_Pr204296108_a_a_e,SV499: set_Pr204296108_a_a_e,SV187: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV187 @ SV499 )
= $false )
| ( ( ( SV499 != SV756 )
| ( ord_le700723212_a_a_e @ SV187 @ SV756 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2579]) ).
thf(2910,plain,
! [SV904: a > e,SV757: set_Pr204296108_a_a_e,SV500: a > e,SV188: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 ) )
= $true )
| ( ( ( SV904 != SV500 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2580]) ).
thf(2911,plain,
! [SV758: set_Pr204296108_a_a_e,SV501: set_Pr204296108_a_a_e,SV189: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV189 @ SV501 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV501 @ SV758 )
| ( ord_le700723212_a_a_e @ SV189 @ SV758 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2581]) ).
thf(2912,plain,
! [SV502: set_Pr204296108_a_a_e,SV190: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true )
| ( ( ~ ! [SY2075: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2075 @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ SY2075 @ SV502 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2913,plain,
! [SV759: set_a > set_a,SV503: set_set_a,SV191: set_a] :
( ( ( member_set_a @ SV191 @ SV503 )
= $false )
| ( ( member_set_a @ ( SV759 @ SV191 ) @ ( image_set_a_set_a @ SV759 @ SV503 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2583]) ).
thf(2914,plain,
! [SV905: produc715398134_a_a_e > set_a,SV760: produc715398134_a_a_e > set_a,SV504: set_Pr204296108_a_a_e,SV192: set_Pr204296108_a_a_e] :
( ( ( SV192 != SV504 )
= $true )
| ( ( ~ ! [SY2526: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2526 @ SV504 )
| ( ( SV760 @ SY2526 )
= ( SV905 @ SY2526 ) ) )
| ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2584]) ).
thf(2915,plain,
! [SV761: $o > set_a,SV505: $o > set_a,SV193: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV193 @ SV505 )
= $false )
| ( ( ( SV505 != SV761 )
| ( ord_less_eq_o_set_a @ SV193 @ SV761 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2585]) ).
thf(2916,plain,
! [SV506: set_Pr204296108_a_a_e,SV194: set_a] :
( ( ( ! [SY2081: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV194 @ SY2081 ) @ SV506 ) )
= $false )
| ( ( member_set_a @ SV194 @ ( domain_set_a_a_e @ SV506 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2586]) ).
thf(2917,plain,
! [SV762: produc715398134_a_a_e > produc715398134_a_a_e,SV507: set_Pr204296108_a_a_e,SV195: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV195 @ SV507 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV762 @ SV195 ) @ ( image_625620211_a_a_e @ SV762 @ SV507 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(2918,plain,
! [SV763: set_a,SV508: set_set_a,SV196: set_set_a] :
( ( ( ord_le318720350_set_a @ SV196 @ SV508 )
= $false )
| ( ( ~ ( member_set_a @ SV763 @ SV196 )
| ( member_set_a @ SV763 @ SV508 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2588]) ).
thf(2919,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2589]) ).
thf(2920,plain,
! [SV510: produc715398134_a_a_e,SV198: produc715398134_a_a_e > $o] :
( ( ( ! [SY2557: a > e] : ( SV198 @ ( produc1134456688_a_a_e @ ( sK14_SY1497 @ SV510 @ SV198 ) @ SY2557 ) ) )
= $false )
| ( ( SV198 @ SV510 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2591]) ).
thf(2921,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2592]) ).
thf(2922,plain,
! [SV766: set_set_a > set_a,SV512: set_set_set_a,SV200: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV200 @ SV512 )
= $false )
| ( ( ord_le318720350_set_a @ ( image_402591269_set_a @ SV766 @ SV200 ) @ ( image_402591269_set_a @ SV766 @ SV512 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2594]) ).
thf(2923,plain,
! [SV767: set_a,SV513: set_a,SV201: set_a] :
( ( ( ord_less_eq_set_a @ SV201 @ SV513 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV513 @ SV767 )
| ( ord_less_eq_set_a @ SV201 @ SV767 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2595]) ).
thf(2924,plain,
! [SV768: a,SV514: set_a,SV202: set_a] :
( ( ( ord_less_eq_set_a @ SV202 @ SV514 )
= $false )
| ( ( ~ ( member_a @ SV768 @ SV202 )
| ( member_a @ SV768 @ SV514 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2596]) ).
thf(2925,plain,
! [SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV203: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2403: set_a] :
( ~ ( member_set_a @ SY2403 @ ( image_64240033_set_a @ SV203 @ SV515 ) )
| ( SV769 @ SY2403 ) ) )
= $false )
| ( ( ! [SY2404: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2404 @ SV515 )
| ( SV769 @ ( SV203 @ SY2404 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2597]) ).
thf(2926,plain,
! [SV770: set_a,SV516: set_set_a,SV204: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV204 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $false )
| ( ( ~ ( member_set_a @ SV770 @ SV204 )
| ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2598]) ).
thf(2927,plain,
! [SV517: produc715398134_a_a_e,SV205: produc715398134_a_a_e > $o] :
( ( ( ! [SY2558: a > e] : ( SV205 @ ( produc1134456688_a_a_e @ ( sK15_SY1516 @ SV517 @ SV205 ) @ SY2558 ) ) )
= $false )
| ( ( SV205 @ SV517 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2599]) ).
thf(2928,plain,
! [SV906: set_a,SV771: set_set_set_a > set_a,SV518: set_set_set_a,SV206: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV206 @ SV518 ) )
= $true )
| ( ( ( ( SV771 @ SV518 )
!= SV906 )
| ~ ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) )
| ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2600]) ).
thf(2929,plain,
! [SV907: set_a,SV772: a,SV519: a > set_a,SV207: set_a] :
( ( ( SV207
!= ( SV519 @ SV772 ) )
= $true )
| ( ( ~ ( member_a @ SV772 @ SV907 )
| ( member_set_a @ SV207 @ ( image_a_set_a @ SV519 @ SV907 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2601]) ).
thf(2930,plain,
! [SV773: set_set_a,SV521: set_a > a,SV209: set_a] :
( ( ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
= $false )
| ( ( ~ ! [SY2409: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2409 @ SV773 )
| ( SV209
!= ( image_set_a_a @ SV521 @ SY2409 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2603]) ).
thf(2931,plain,
! [SV774: produc715398134_a_a_e,SV522: set_Pr204296108_a_a_e,SV210: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV210 @ SV522 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV774 @ SV210 )
| ( member1258382221_a_a_e @ SV774 @ SV522 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2604]) ).
thf(2932,plain,
! [SV523: set_a,SV211: set_a] :
( ( ( SV211 = SV523 )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV523 @ SV211 )
| ~ ! [SY2109: a] :
~ ~ ( ~ ( member_a @ SY2109 @ SV211 )
| ~ ~ ( member_a @ SY2109 @ SV523 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2605]) ).
thf(2933,plain,
! [SV212: set_set_a,SV524: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV524 @ SV212 ) )
= $true )
| ( ( SV212 = SV524 )
= $true )
| ( ( ord_le318720350_set_a @ SV212 @ SV524 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2606]) ).
thf(2934,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ~ ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2607]) ).
thf(2935,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= ( ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2607]) ).
thf(2936,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ~ ( ( SV526 = SV909 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
| ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2608]) ).
thf(2937,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( SV526 = SV909 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2608]) ).
thf(2938,plain,
! [SV215: set_set_set_a,SV527: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV527 @ SV215 ) )
= $true )
| ( ( SV215 = SV527 )
= $true )
| ( ( ord_le2103863998_set_a @ SV215 @ SV527 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2609]) ).
thf(2939,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
| ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2610]) ).
thf(2940,plain,
! [SV777: produc715398134_a_a_e,SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV217 @ SV529 )
= $false )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV777 @ SV217 )
| ~ ( member1258382221_a_a_e @ SV777 @ SV529 )
| ( SV217 != SV529 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2611]) ).
thf(2941,plain,
! [SV778: set_Pr204296108_a_a_e,SV530: a > e,SV218: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV218 @ SV530 ) @ SV778 )
= $false )
| ( ( member_set_a @ SV218 @ ( domain_set_a_a_e @ SV778 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2612]) ).
thf(2942,plain,
! [SV779: set_a,SV531: set_set_a,SV219: set_set_a] :
( ( ( ord_le318720350_set_a @ SV219 @ SV531 )
= $false )
| ( ( ~ ~ ( member_set_a @ SV779 @ SV219 )
| ~ ( member_set_a @ SV779 @ SV531 )
| ( SV219 != SV531 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2613]) ).
thf(2943,plain,
! [SV780: a > e,SV532: set_a,SV220: produc715398134_a_a_e > $o] :
( ( ( produc952037978_a_e_o @ SV220 @ SV532 @ SV780 )
= $false )
| ( ( SV220 @ ( produc1134456688_a_a_e @ SV532 @ SV780 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2614]) ).
thf(2944,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ( ~ ! [SY2119: set_a] :
( ~ ( SV221 @ SY2119 )
| ( ord_less_eq_set_a @ SY2119 @ SV533 ) ) )
= $true )
| ( ( ( order_Greatest_set_a @ SV221 )
= SV533 )
= $true )
| ( ( SV221 @ SV533 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2945,plain,
! [SV781: set_Pr305929312_set_a,SV534: a > e,SV222: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV222 @ SV534 ) @ ( converse_a_e_set_a @ SV781 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV534 @ SV222 ) @ SV781 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2616]) ).
thf(2946,plain,
! [SV910: produc715398134_a_a_e > produc715398134_a_a_e,SV782: produc715398134_a_a_e,SV535: set_Pr204296108_a_a_e,SV223: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV223 @ SV535 ) )
= $true )
| ( ( ( SV782
!= ( SV910 @ SV223 ) )
| ( member1258382221_a_a_e @ SV782 @ ( image_625620211_a_a_e @ SV910 @ SV535 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2617]) ).
thf(2947,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2618]) ).
thf(2948,plain,
! [SV911: set_a,SV537: set_a] :
( ( ~ ( ( SV537 = SV911 )
| ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
| ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2620]) ).
thf(2949,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( SV537 = SV911 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2620]) ).
thf(2950,plain,
! [SV539: set_Pr204296108_a_a_e,SV227: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true )
| ( ( ~ ! [SY2127: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2127 @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ SY2127 @ SV539 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2622]) ).
thf(2951,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ~ ( ( SV540 = SV912 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
| ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2623]) ).
thf(2952,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( SV540 = SV912 )
= ( ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2623]) ).
thf(2953,plain,
! [SV229: set_a,SV541: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV541 @ SV229 ) )
= $true )
| ( ( SV229 = SV541 )
= $true )
| ( ( ord_less_eq_set_a @ SV229 @ SV541 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2624]) ).
thf(2954,plain,
! [SV913: $o > set_a,SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a] :
( ( ( SV230
!= ( SV542 @ SV786 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2625]) ).
thf(2955,plain,
! [SV787: set_Pr204296108_a_a_e,SV543: produc715398134_a_a_e > set_a,SV231: set_a] :
( ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false )
| ( ( ~ ! [SY2416: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2416 @ SV787 )
| ( SV231
!= ( SV543 @ SY2416 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2626]) ).
thf(2956,plain,
! [SV788: produc715398134_a_a_e > set_a,SV544: set_Pr204296108_a_a_e,SV232: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV232 @ SV544 )
= $false )
| ( ( member_set_a @ ( SV788 @ SV232 ) @ ( image_64240033_set_a @ SV788 @ SV544 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2627]) ).
thf(2957,plain,
! [SV914: set_a,SV545: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV545 @ SV914 )
| ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2628]) ).
thf(2958,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= ( ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2628]) ).
thf(2959,plain,
! [SV915: set_a,SV790: a,SV546: a > a,SV234: a] :
( ( ( SV234
!= ( SV546 @ SV790 ) )
= $true )
| ( ( ~ ( member_a @ SV790 @ SV915 )
| ( member_a @ SV234 @ ( image_a_a @ SV546 @ SV915 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2629]) ).
thf(2960,plain,
! [SV916: set_a,SV547: set_a] :
( ( ~ ( ( SV547 = SV916 )
| ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
| ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2630]) ).
thf(2961,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( SV547 = SV916 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2630]) ).
thf(2962,plain,
! [SV236: produc715398134_a_a_e] :
( ( ! [SY2419: a > e] :
( SV236
!= ( produc1134456688_a_a_e @ ( sK4_SY1585 @ SV236 ) @ SY2419 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(2963,plain,
! [SV237: set_a_e,SV548: set_a_e] :
( ( ( ~ ( member_a_e @ ( sK16_SY2143 @ SV548 @ SV237 ) @ SV237 )
| ( member_a_e @ ( sK16_SY2143 @ SV548 @ SV237 ) @ SV548 ) )
= $false )
| ( ( ord_less_eq_set_a_e @ SV237 @ SV548 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2632]) ).
thf(2964,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ~ ( ( SV549 = SV917 )
| ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
| ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2633]) ).
thf(2965,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( SV549 = SV917 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2633]) ).
thf(2966,plain,
( ( ~ ~ ( ~ ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2634]) ).
thf(2967,plain,
( ( ~ ( ord_less_eq_set_a @ a3 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2634]) ).
thf(2968,plain,
! [SV239: set_Pr305929312_set_a,SV550: set_Pr305929312_set_a] :
( ( ( ~ ( member360729153_set_a @ ( sK17_SY2146 @ SV550 @ SV239 ) @ SV239 )
| ( member360729153_set_a @ ( sK17_SY2146 @ SV550 @ SV239 ) @ SV550 ) )
= $false )
| ( ( ord_le802356416_set_a @ SV239 @ SV550 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2635]) ).
thf(2969,plain,
! [SV793: set_set_a,SV551: set_Pr204296108_a_a_e,SV240: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV240 @ SV551 ) @ SV793 )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ ( image_64240033_set_a @ SV240 ) @ ( finite33065488_a_a_e @ SV551 ) ) @ ( finite_Fpow_set_a @ SV793 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2970,plain,
! [SV918: set_a > set_a,SV794: set_a,SV552: set_set_a,SV241: set_a] :
( ( ( ~ ( member_set_a @ SV241 @ SV552 ) )
= $true )
| ( ( ( SV794
!= ( SV918 @ SV241 ) )
| ( member_set_a @ SV794 @ ( image_set_a_set_a @ SV918 @ SV552 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2637]) ).
thf(2971,plain,
! [SV242: set_set_set_a,SV553: set_set_set_a] :
( ( ( ~ ( member_set_set_a @ ( sK18_SY2150 @ SV553 @ SV242 ) @ SV242 )
| ( member_set_set_a @ ( sK18_SY2150 @ SV553 @ SV242 ) @ SV553 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV242 @ SV553 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2638]) ).
thf(2972,plain,
! [SV795: set_Pr305929312_set_a,SV554: set_a,SV243: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV243 @ SV554 ) @ SV795 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV554 @ SV243 ) @ ( converse_a_e_set_a @ SV795 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2639]) ).
thf(2973,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
| ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2640]) ).
thf(2974,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= ( ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2640]) ).
thf(2975,plain,
! [SV797: set_a,SV556: set_a,SV245: set_a] :
( ( ( ord_less_eq_set_a @ SV245 @ SV556 )
= $false )
| ( ( ( SV556 != SV797 )
| ( ord_less_eq_set_a @ SV245 @ SV797 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2641]) ).
thf(2976,plain,
! [SV798: a > set_a,SV557: set_a,SV246: set_a] :
( ( ( ord_less_eq_set_a @ SV246 @ SV557 )
= $false )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV798 @ SV246 ) @ ( image_a_set_a @ SV798 @ SV557 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2642]) ).
thf(2977,plain,
! [SV799: produc715398134_a_a_e > produc715398134_a_a_e,SV558: set_Pr204296108_a_a_e,SV247: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV247 @ SV558 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV799 @ SV247 ) @ ( image_625620211_a_a_e @ SV799 @ SV558 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2643]) ).
thf(2978,plain,
! [SV248: produc715398134_a_a_e,SV920: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV920 @ c ) )
= $true )
| ( ( ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV248 ) @ ( produc1040928388_a_a_e @ SV920 ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV920 ) @ ( produc1040928388_a_a_e @ SV248 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV248 @ c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2644]) ).
thf(2979,plain,
! [SV921: set_a,SV800: set_a > set_a,SV559: set_a,SV249: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV249 @ SV559 ) )
= $true )
| ( ( ( ( SV800 @ SV559 )
!= SV921 )
| ~ ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) )
| ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2645]) ).
thf(2980,plain,
! [SV801: produc715398134_a_a_e,SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e] :
( ( ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV250 )
| ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2646]) ).
thf(2981,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2647]) ).
thf(2982,plain,
! [SV922: set_a,SV803: set_set_a > set_a,SV562: set_set_a,SV252: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV252 @ SV562 ) )
= $true )
| ( ( ( ( SV803 @ SV562 )
!= SV922 )
| ~ ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) )
| ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2649]) ).
thf(2983,plain,
! [SV923: $o > set_a,SV804: $o > set_a,SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a] :
( ( ( SV253
!= ( SV563 @ SV804 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV804 @ SV923 )
| ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2650]) ).
thf(2984,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 = SV255 ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 != SV255 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2652]) ).
thf(2985,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= ( SV565 = SV255 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2652]) ).
thf(2986,plain,
! [SV924: produc715398134_a_a_e,SV805: a > e,SV566: set_a,SV257: set_a > ( a > e ) > $o] :
( ( ( ~ ( SV257 @ SV566 @ SV805 ) )
= $true )
| ( ( ( SV924
!= ( produc1134456688_a_a_e @ SV566 @ SV805 ) )
| ( SV257 @ ( produc1040928388_a_a_e @ SV924 ) @ ( produc317566658_a_a_e @ SV924 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2654]) ).
thf(2987,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2655]) ).
thf(2988,plain,
! [SV259: set_set_a,SV568: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV568 @ SV259 ) )
= $true )
| ( ( SV259 = SV568 )
= $true )
| ( ( ord_le318720350_set_a @ SV259 @ SV568 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2656]) ).
thf(2989,plain,
! [SV260: produc715398134_a_a_e > set_a,SV569: set_a] :
( ( ( ! [SY2175: produc715398134_a_a_e] :
( SV569
!= ( SV260 @ SY2175 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV260 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2657]) ).
thf(2990,plain,
! [SV806: produc715398134_a_a_e,SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e] :
( ( ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
| ( ord_le700723212_a_a_e @ SV570 @ SV261 ) )
= $false )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV806 @ SV261 )
| ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2991,plain,
! [SV807: set_a > produc715398134_a_a_e,SV571: set_set_a,SV262: set_a] :
( ( ( member_set_a @ SV262 @ SV571 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV807 @ SV262 ) @ ( image_210900495_a_a_e @ SV807 @ SV571 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2659]) ).
thf(2992,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2660]) ).
thf(2993,plain,
! [SV925: set_a,SV809: set_a,SV573: set_a > set_a,SV264: set_a] :
( ( ( SV264
!= ( SV573 @ SV809 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV809 @ SV925 )
| ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2662]) ).
thf(2994,plain,
! [SV810: a,SV574: set_a,SV265: set_a] :
( ( ( ord_less_eq_set_a @ SV265 @ SV574 )
= $false )
| ( ( ~ ~ ( member_a @ SV810 @ SV265 )
| ~ ( member_a @ SV810 @ SV574 )
| ( SV265 != SV574 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2995,plain,
! [SV575: set_set_a,SV266: set_set_a] :
( ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true )
| ( ( ~ ! [SY2185: set_a] :
~ ~ ( ~ ( member_set_a @ SY2185 @ SV266 )
| ~ ~ ( member_set_a @ SY2185 @ SV575 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2664]) ).
thf(2996,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
| ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2665]) ).
thf(2997,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= ( ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2665]) ).
thf(2998,plain,
! [SV927: set_a,SV812: a,SV577: a > a > e,SV268: a > e] :
( ( ( SV268
!= ( SV577 @ SV812 ) )
= $true )
| ( ( ~ ( member_a @ SV812 @ SV927 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2666]) ).
thf(2999,plain,
! [SV813: produc715398134_a_a_e,SV578: set_a > ( a > e ) > set_set_a,SV269: set_a] :
( ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false )
| ( ( ~ ! [SY2439: set_a,SY2440: a > e] :
( ( SV813
!= ( produc1134456688_a_a_e @ SY2439 @ SY2440 ) )
| ~ ( member_set_a @ SV269 @ ( SV578 @ SY2439 @ SY2440 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2667]) ).
thf(3000,plain,
! [SV814: set_set_set_a,SV579: set_set_a > set_set_a,SV270: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
= $false )
| ( ( ~ ! [SY2441: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2441 @ SV814 )
| ( SV270
!= ( image_1956910981_set_a @ SV579 @ SY2441 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2668]) ).
thf(3001,plain,
! [SV952: set_a > a > e,SV928: a > e,SV815: set_a,SV580: set_a > set_a,SV271: set_a] :
( ( ! [SY2559: set_set_a] :
( ( SV271
!= ( SV580 @ SV815 ) )
| ( SV928
!= ( SV952 @ SV815 ) )
| ~ ( member_set_a @ SV815 @ SY2559 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SY2559 @ SV580 @ SV952 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2669]) ).
thf(3002,plain,
! [SV581: produc715398134_a_a_e,SV272: ( a > e ) > set_a > $o] :
( ( ( ! [SY1678: set_a,SY1679: a > e] :
~ ( SV272 @ SY1679 @ SY1678 ) )
= $false )
| ( ( SV272 @ ( produc317566658_a_a_e @ SV581 ) @ ( produc1040928388_a_a_e @ SV581 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2670]) ).
thf(3003,plain,
! [SV816: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV273: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false )
| ( ( ~ ! [SY2445: set_a,SY2446: a > e] :
( ( SV816
!= ( produc1134456688_a_a_e @ SY2445 @ SY2446 ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ SY2445 @ SY2446 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(3004,plain,
! [SV583: set_Pr204296108_a_a_e,SV274: a > e] :
( ( ( ! [SY2204: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2204 @ SV274 ) @ SV583 ) )
= $false )
| ( ( member_a_e @ SV274 @ ( range_set_a_a_e @ SV583 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2672]) ).
thf(3005,plain,
! [SV929: set_a,SV817: ( $o > set_a ) > set_a,SV584: $o > set_a,SV275: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV275 @ SV584 ) )
= $true )
| ( ( ( ( SV817 @ SV584 )
!= SV929 )
| ~ ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) )
| ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2673]) ).
thf(3006,plain,
! [SV585: set_a,SV276: set_a] :
( ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true )
| ( ( ~ ! [SY2209: a] :
~ ~ ( ~ ( member_a @ SY2209 @ SV276 )
| ~ ~ ( member_a @ SY2209 @ SV585 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2674]) ).
thf(3007,plain,
! [SV818: a,SV586: set_a,SV277: set_a] :
( ( ( ( ord_less_eq_set_a @ SV277 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $false )
| ( ( ~ ( member_a @ SV818 @ SV277 )
| ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2675]) ).
thf(3008,plain,
! [SV930: set_a > produc715398134_a_a_e,SV819: produc715398134_a_a_e,SV588: set_set_a,SV279: set_a] :
( ( ( ~ ( member_set_a @ SV279 @ SV588 ) )
= $true )
| ( ( ( SV819
!= ( SV930 @ SV279 ) )
| ( member1258382221_a_a_e @ SV819 @ ( image_210900495_a_a_e @ SV930 @ SV588 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(3009,plain,
! [SV280: produc1965228714_set_a] :
( ( ! [SY2451: set_a] :
( SV280
!= ( produc479206876_set_a @ ( sK5_SY1699 @ SV280 ) @ SY2451 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2678]) ).
thf(3010,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ~ ( ( SV589 = SV931 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
| ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2679]) ).
thf(3011,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2679]) ).
thf(3012,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2680]) ).
thf(3013,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $false )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2680]) ).
thf(3014,plain,
! [SV953: set_set_a > set_a,SV932: produc715398134_a_a_e > set_a,SV821: produc715398134_a_a_e > set_a,SV590: set_Pr204296108_a_a_e,SV283: set_Pr204296108_a_a_e] :
( ( ( SV283 != SV590 )
| ~ ! [SY2546: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2546 @ SV590 )
| ( ( SV821 @ SY2546 )
= ( SV932 @ SY2546 ) ) )
| ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(3015,plain,
! [SV822: set_Pr204296108_a_a_e,SV591: set_a > produc715398134_a_a_e,SV284: set_set_a] :
( ( ( ! [SY2455: set_a] :
( ~ ( member_set_a @ SY2455 @ SV284 )
| ( member1258382221_a_a_e @ ( SV591 @ SY2455 ) @ SV822 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SV822 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2682]) ).
thf(3016,plain,
! [SV823: set_a,SV592: set_set_a,SV285: set_set_a] :
( ( ( ord_le318720350_set_a @ SV285 @ SV592 )
= $false )
| ( ( ~ ( member_set_a @ SV823 @ SV285 )
| ( member_set_a @ SV823 @ SV592 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(3017,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ~ ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2685]) ).
thf(3018,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= ( ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2685]) ).
thf(3019,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2686]) ).
thf(3020,plain,
! [SV596: set_Pr204296108_a_a_e,SV289: set_a] :
( ( ( ! [SY2227: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV289 @ SY2227 ) @ SV596 ) )
= $false )
| ( ( member_set_a @ SV289 @ ( domain_set_a_a_e @ SV596 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2688]) ).
thf(3021,plain,
! [SV826: set_set_a,SV597: set_set_a,SV290: set_set_a] :
( ( ( SV290 = SV597 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV597 @ SV826 )
| ( ord_le318720350_set_a @ SV290 @ SV826 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2689]) ).
thf(3022,plain,
! [SV827: a > e,SV598: set_a,SV291: produc715398134_a_a_e > $o] :
( ( ( SV291 @ ( produc1134456688_a_a_e @ SV598 @ SV827 ) )
= $false )
| ( ( produc952037978_a_e_o @ SV291 @ SV598 @ SV827 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(3023,plain,
! [SV828: set_set_a,SV599: set_Pr204296108_a_a_e,SV292: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV292 @ SV599 )
= SV828 )
= $false )
| ( ( ( image_1441218763_set_a @ ( image_64240033_set_a @ SV292 ) @ ( pow_Pr328302361_a_a_e @ SV599 ) )
= ( pow_set_a @ SV828 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2691]) ).
thf(3024,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ~ ( ( SV600 = SV934 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
| ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2692]) ).
thf(3025,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( SV600 = SV934 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2692]) ).
thf(3026,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ~ ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2693]) ).
thf(3027,plain,
! [SV602: set_Pr204296108_a_a_e,SV295: a > e] :
( ( ( ! [SY2235: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2235 @ SV295 ) @ SV602 ) )
= $false )
| ( ( member_a_e @ SV295 @ ( range_set_a_a_e @ SV602 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(3028,plain,
! [SV831: set_a > set_a,SV603: set_set_a,SV296: set_set_a] :
( ( ( ord_le318720350_set_a @ SV296 @ SV603 )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV831 @ SV296 ) @ ( image_set_a_set_a @ SV831 @ SV603 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(3029,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ~ ( ( SV604 = SV935 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
| ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2697]) ).
thf(3030,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( SV604 = SV935 )
= ( ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2697]) ).
thf(3031,plain,
! [SV936: set_set_a,SV833: set_a,SV605: set_a > set_a,SV298: set_a] :
( ( ( SV298
!= ( SV605 @ SV833 ) )
= $true )
| ( ( ~ ( member_set_a @ SV833 @ SV936 )
| ( member_set_a @ SV298 @ ( image_set_a_set_a @ SV605 @ SV936 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(3032,plain,
! [SV937: set_a,SV606: set_a] :
( ( ~ ( ( SV606 = SV937 )
| ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
| ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2699]) ).
thf(3033,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( SV606 = SV937 )
= ( ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2699]) ).
thf(3034,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ~ ( ( SV607 = SV938 )
| ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
| ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2700]) ).
thf(3035,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( SV607 = SV938 )
= ( ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2700]) ).
thf(3036,plain,
! [SV836: produc715398134_a_a_e > set_a,SV608: set_Pr204296108_a_a_e,SV301: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV301 @ SV608 )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV836 @ SV301 ) @ ( image_64240033_set_a @ SV836 @ SV608 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2701]) ).
thf(3037,plain,
! [SV302: set_set_set_a,SV609: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV609 @ SV302 ) )
= $true )
| ( ( SV302 = SV609 )
= $true )
| ( ( ord_le2103863998_set_a @ SV302 @ SV609 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(3038,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(3039,plain,
! [SV304: produc715398134_a_a_e] :
( ( SV304
= ( produc1134456688_a_a_e @ ( sK6_SY1754 @ SV304 ) @ ( sK9_SY2462 @ SV304 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2705]) ).
thf(3040,plain,
! [SV838: set_a_e,SV611: a > a > e,SV305: set_a] :
( ( ( ! [SY2463: a] :
( ~ ( member_a @ SY2463 @ SV305 )
| ( member_a_e @ ( SV611 @ SY2463 ) @ SV838 ) ) )
= $false )
| ( ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SV838 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2706]) ).
thf(3041,plain,
! [SV939: set_set_set_a,SV839: set_set_a > set_set_set_a,SV612: set_set_a,SV306: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV306 @ SV612 ) )
= $true )
| ( ( ( ( SV839 @ SV612 )
!= SV939 )
| ~ ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) )
| ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2707]) ).
thf(3042,plain,
! [SV940: a > e,SV840: ( a > e ) > $o,SV613: set_a,SV307: set_a > $o] :
( ( ( ~ ( SV307 @ SV613 ) )
= $true )
| ( ( ~ ( SV840 @ SV940 )
| ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
| ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2708]) ).
thf(3043,plain,
! [SV841: set_a > produc715398134_a_a_e,SV614: set_set_a,SV308: set_a] :
( ( ( member_set_a @ SV308 @ SV614 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV841 @ SV308 ) @ ( image_210900495_a_a_e @ SV841 @ SV614 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2709]) ).
thf(3044,plain,
! [SV842: set_set_a,SV615: a > set_a,SV309: set_a] :
( ( ( ! [SY2468: a] :
( ~ ( member_a @ SY2468 @ SV309 )
| ( member_set_a @ ( SV615 @ SY2468 ) @ SV842 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SV842 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(3045,plain,
! [SV310: $o > set_a,SV616: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV616 @ SV310 ) )
= $true )
| ( ( SV310 = SV616 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2711]) ).
thf(3046,plain,
! [SV843: set_Pr204296108_a_a_e,SV617: set_a,SV311: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV311 @ SV617 ) @ ( converse_set_a_a_e @ SV843 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV617 @ SV311 ) @ SV843 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(3047,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ( ! [SY2260: set_a,SY2261: a > e] :
( ( SV312
!= ( produc479206876_set_a @ SY2261 @ SY2260 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2260 @ SY2261 ) @ SV618 ) ) )
= $false )
| ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2713]) ).
thf(3048,plain,
! [SV844: set_a,SV619: a > e,SV313: set_a] :
( ( ( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV313 @ SV619 ) )
= SV844 )
= $false )
| ( ( SV313 = SV844 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(3049,plain,
! [SV845: set_a,SV620: set_a,SV314: set_a] :
( ( ( SV314 = SV620 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV314 @ SV845 )
| ( ord_less_eq_set_a @ SV620 @ SV845 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(3050,plain,
! [SV315: $o > set_a,SV621: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV621 @ SV315 ) )
= $true )
| ( ( SV315 = SV621 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2716]) ).
thf(3051,plain,
! [SV954: ( a > e ) > a > e,SV941: set_a > set_a,SV846: set_Pr204296108_a_a_e,SV622: a > e,SV316: set_a] :
( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV316 @ SV622 ) @ SV846 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SV941 @ SV316 ) @ ( SV954 @ SV622 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV941 @ SV954 ) @ SV846 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2717]) ).
thf(3052,plain,
! [SV317: set_Pr204296108_a_a_e,SV623: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV623 @ SV317 ) )
= $true )
| ( ( SV317 = SV623 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV317 @ SV623 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2718]) ).
thf(3053,plain,
! [SV624: a > $o,SV318: a > $o] :
( ( ( ~ ( SV318 @ ( sK19_SY2267 @ SV624 @ SV318 ) )
| ( SV624 @ ( sK19_SY2267 @ SV624 @ SV318 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SV624 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2719]) ).
thf(3054,plain,
! [SV847: a > e,SV625: set_a,SV319: produc715398134_a_a_e] :
( ( ( SV319
= ( produc1134456688_a_a_e @ SV625 @ SV847 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV319 )
= SV625 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2720]) ).
thf(3055,plain,
! [SV626: set_set_a,SV320: set_set_a] :
( ( ( SV320 = SV626 )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV626 @ SV320 )
| ~ ! [SY2269: set_a] :
~ ~ ( ~ ( member_set_a @ SY2269 @ SV320 )
| ~ ~ ( member_set_a @ SY2269 @ SV626 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2721]) ).
thf(3056,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2471: set_a] :
~ ~ ( ~ ( member_set_a @ SY2471 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SV848 @ SY2471 ) ) )
= $false )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2722]) ).
thf(3057,plain,
! [SV322: set_Pr204296108_a_a_e,SV628: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV628 @ SV322 ) )
= $true )
| ( ( SV322 = SV628 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV322 @ SV628 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2723]) ).
thf(3058,plain,
! [SV849: set_set_a,SV629: set_set_a,SV323: set_set_a] :
( ( ( ord_le318720350_set_a @ SV323 @ SV629 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV849 @ SV323 )
| ( ord_le318720350_set_a @ SV849 @ SV629 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(3059,plain,
! [SV942: produc715398134_a_a_e,SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2474: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2474 @ SV324 )
| ( member_set_a @ ( SV630 @ SY2474 ) @ SV850 ) ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 )
| ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2725]) ).
thf(3060,plain,
! [SV325: set_Pr204296108_a_a_e,SV631: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK20_SY2277 @ SV631 @ SV325 ) @ SV325 )
| ( member1258382221_a_a_e @ ( sK20_SY2277 @ SV631 @ SV325 ) @ SV631 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV325 @ SV631 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2726]) ).
thf(3061,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ~ ( ( SV632 = SV943 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
| ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2727]) ).
thf(3062,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= ( ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2727]) ).
thf(3063,plain,
! [SV852: a,SV633: set_a,SV327: set_a] :
( ( ( ord_less_eq_set_a @ SV327 @ SV633 )
= $false )
| ( ( ~ ( member_a @ SV852 @ SV327 )
| ( member_a @ SV852 @ SV633 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(3064,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV328 )
!= ( produc317566658_a_a_e @ SV634 ) )
= $true )
| ( ( SV328 = SV634 )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV328 )
= ( produc1040928388_a_a_e @ SV634 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(3065,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ~ ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(3066,plain,
! [SV854: set_a > set_set_a,SV636: set_set_a,SV330: set_set_a] :
( ( ( ord_le318720350_set_a @ SV330 @ SV636 )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_1930509541_set_a @ SV854 @ SV330 ) @ ( image_1930509541_set_a @ SV854 @ SV636 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2732]) ).
thf(3067,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( SV331 @ SV637 )
= $false )
| ( ( ~ ! [SY2285: set_a] :
( ~ ( SV331 @ SY2285 )
| ( ord_less_eq_set_a @ SY2285 @ SV637 ) )
| ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(3068,plain,
! [SV944: produc715398134_a_a_e > set_a,SV856: set_a,SV638: set_Pr204296108_a_a_e,SV332: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV332 @ SV638 ) )
= $true )
| ( ( ( SV856
!= ( SV944 @ SV332 ) )
| ( member_set_a @ SV856 @ ( image_64240033_set_a @ SV944 @ SV638 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2734]) ).
thf(3069,plain,
! [SV857: set_a,SV639: set_a > a,SV333: set_set_a] :
( ( ( ! [SY2480: set_a] :
( ~ ( member_set_a @ SY2480 @ SV333 )
| ( member_a @ ( SV639 @ SY2480 ) @ SV857 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SV857 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(3070,plain,
! [SV858: set_set_a,SV640: set_a > set_set_a,SV334: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
= $false )
| ( ( ~ ! [SY2481: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2481 @ SV858 )
| ( SV334
!= ( image_1930509541_set_a @ SV640 @ SY2481 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(3071,plain,
! [SV859: set_a,SV641: ( a > e ) > a,SV335: set_a_e] :
( ( ( ! [SY2482: a > e] :
( ~ ( member_a_e @ SY2482 @ SV335 )
| ( member_a @ ( SV641 @ SY2482 ) @ SV859 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SV859 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2737]) ).
thf(3072,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2738]) ).
thf(3073,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2740]) ).
thf(3074,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ~ ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2742]) ).
thf(3075,plain,
! [SV863: $o > set_a,SV645: $o > set_a,SV339: $o > set_a] :
( ( ( SV339 = SV645 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 )
| ( ord_less_eq_o_set_a @ SV339 @ SV863 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2744]) ).
thf(3076,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2745]) ).
thf(3077,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ~ ( SV341 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(3078,plain,
! [SV11: set_a,SV341: set_a > $o] :
( ( ( SV341 @ SV11 )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ~ ( SV341 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(3079,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ~ ( SV342 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(3080,plain,
! [SV12: produc715398134_a_a_e,SV342: produc715398134_a_a_e > $o] :
( ( ( SV342 @ SV12 )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ~ ( SV342 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2747]) ).
thf(3081,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(3082,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2748]) ).
thf(3083,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2749]) ).
thf(3084,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2750]) ).
thf(3085,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2751]) ).
thf(3086,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2752]) ).
thf(3087,plain,
! [SV37: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 != top_top_set_a ) )
= $false )
| ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2753]) ).
thf(3088,plain,
! [SV37: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
| ( SV37 != top_top_set_a ) )
= $false )
| ( ( SV37 = top_top_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2754]) ).
thf(3089,plain,
! [SV358: set_a] :
( ( ( top_top_set_a_o @ SV358 )
= $false )
| ( ( ~ ( ~ ( top_top_set_a_o @ SV358 )
| ~ ( member_set_a @ SV358 @ top_top_set_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2755]) ).
thf(3090,plain,
! [SV358: set_a] :
( ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $false )
| ( ( ~ ( ~ ( top_top_set_a_o @ SV358 )
| ~ ( member_set_a @ SV358 @ top_top_set_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2755]) ).
thf(3091,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( top_to2000253225_a_e_o @ SV359 )
= $false )
| ( ( ~ ( ~ ( top_to2000253225_a_e_o @ SV359 )
| ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2756]) ).
thf(3092,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $false )
| ( ( ~ ( ~ ( top_to2000253225_a_e_o @ SV359 )
| ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2756]) ).
thf(3093,plain,
! [SV955: produc715398134_a_a_e,SV866: set_a > ( a > e ) > $o,SV360: set_a > set_a > $o] :
( ( ( bNF_sn375433437_a_a_e @ SV360 @ SV866 @ SV955 )
= ( produc1134456688_a_a_e @ ( bNF_pi929741261_a_a_e @ SV360 @ SV866 @ ( produc1040928388_a_a_e @ SV955 ) @ ( produc317566658_a_a_e @ SV955 ) ) @ ( produc317566658_a_a_e @ SV955 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2757]) ).
thf(3094,plain,
! [SV956: produc715398134_a_a_e,SV867: ( a > e ) > ( a > e ) > $o,SV361: set_a > ( a > e ) > $o] :
( ( ( bNF_fs1024561536_e_a_e @ SV361 @ SV867 @ SV956 )
= ( produc1134456688_a_a_e @ ( produc1040928388_a_a_e @ SV956 ) @ ( bNF_pi1175744974_e_a_e @ SV361 @ SV867 @ ( produc1040928388_a_a_e @ SV956 ) @ ( produc317566658_a_a_e @ SV956 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2759]) ).
thf(3095,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(3096,plain,
! [SV363: a > set_a,SV48: set_set_a,SV657: set_a] :
( ( ( ! [SY2308: set_a] :
( ~ ( ord_less_eq_set_a @ SY2308 @ SV657 )
| ( SV48
!= ( image_a_set_a @ SV363 @ SY2308 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2763]) ).
thf(3097,plain,
! [SV659: set_a,SV365: set_set_a,SV50: set_set_a] :
( ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $false )
| ( ( ~ ~ ( member_set_a @ SV659 @ SV50 )
| ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2765]) ).
thf(3098,plain,
! [SV659: set_a,SV50: set_set_a,SV365: set_set_a] :
( ( ( ord_le318720350_set_a @ SV365 @ SV50 )
= $false )
| ( ( ~ ~ ( member_set_a @ SV659 @ SV50 )
| ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2765]) ).
thf(3099,plain,
! [SV366: set_set_a > set_a,SV51: set_set_a,SV660: set_set_set_a] :
( ( ( ! [SY2309: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2309 @ SV660 )
| ( SV51
!= ( image_402591269_set_a @ SV366 @ SY2309 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2766]) ).
thf(3100,plain,
! [SV869: set_a > ( a > e ) > $o,SV661: set_Pr305929312_set_a,SV367: a > e,SV52: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false )
| ( ( ~ ! [SY2489: a > e,SY2490: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2489 @ SY2490 ) @ SV661 )
| ( SV869 @ SY2490 @ SY2489 ) )
| ( SV869 @ SV52 @ SV367 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2767]) ).
thf(3101,plain,
! [SV53: set_a,SV662: set_a > $o,SV368: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2313: set_a,SY2314: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2313 @ SY2314 ) @ SV368 )
| ( SV662 @ SY2313 ) ) )
= $true )
| ( ( SV662 @ SV53 )
= $true )
| ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2768]) ).
thf(3102,plain,
! [SV870: set_set_a,SV663: set_a,SV369: set_a > produc715398134_a_a_e,SV54: produc715398134_a_a_e] :
( ( ( SV54
= ( SV369 @ SV663 ) )
= $false )
| ( ( ~ ( member_set_a @ SV663 @ SV870 )
| ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SV369 @ SV870 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2769]) ).
thf(3103,plain,
! [SV370: produc715398134_a_a_e > set_a,SV55: set_set_a,SV664: set_Pr204296108_a_a_e] :
( ( ( ! [SY2316: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2316 @ SV664 )
| ( SV55
!= ( image_64240033_set_a @ SV370 @ SY2316 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(3104,plain,
! [SV56: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ a2 @ SV56 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ a3 @ SV56 )
| thesis )
= $true )
| ( ( ord_less_eq_set_a @ a1 @ SV56 )
= $false )
| ( ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2771]) ).
thf(3105,plain,
! [SV58: set_set_a,SV665: set_set_a,SV371: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV371 @ SV665 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV58 @ SV665 )
= $true )
| ( ( ord_le318720350_set_a @ SV58 @ SV371 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2772]) ).
thf(3106,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ( ! [SY2561: set_a] :
( ( SV59
!= ( produc1134456688_a_a_e @ SY2561 @ ( sK21_SY1878 @ SV372 @ SV59 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK21_SY1878 @ SV372 @ SV59 ) @ SY2561 ) @ SV372 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2773]) ).
thf(3107,plain,
! [SV60: set_set_set_a,SV666: set_set_set_a,SV373: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV373 @ SV666 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV60 @ SV666 )
= $true )
| ( ( ord_le2103863998_set_a @ SV60 @ SV373 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2774]) ).
thf(3108,plain,
! [SV871: $o > set_a,SV667: set_a > $o > set_a,SV374: set_a,SV61: set_a] :
( ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false )
| ( ( ( ( SV667 @ SV374 )
!= SV871 )
| ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2775]) ).
thf(3109,plain,
! [SV62: set_Pr204296108_a_a_e,SV375: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV375 @ SV62 )
= $false )
| ( ( SV375 = SV62 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV62 @ SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2776]) ).
thf(3110,plain,
! [SV63: set_a,SV376: set_a] :
( ( ( ord_less_eq_set_a @ SV376 @ SV63 )
= $false )
| ( ( SV63 = SV376 )
= $true )
| ( ( ord_less_eq_set_a @ SV63 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2777]) ).
thf(3111,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ( SV377 = SV872 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2778]) ).
thf(3112,plain,
! [SV65: set_Pr204296108_a_a_e,SV378: produc715398134_a_a_e > a,SV669: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK22_SY2320 @ SV669 @ SV378 @ SV65 ) @ SV65 )
| ( member_a @ ( SV378 @ ( sK22_SY2320 @ SV669 @ SV378 @ SV65 ) ) @ SV669 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SV669 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2780]) ).
thf(3113,plain,
! [SV873: set_set_set_a,SV670: set_a > set_set_set_a,SV379: set_a,SV66: set_a] :
( ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false )
| ( ( ( ( SV670 @ SV379 )
!= SV873 )
| ~ ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) )
| ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2781]) ).
thf(3114,plain,
! [SV380: set_a,SV67: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV67 @ SV380 ) )
= $false )
| ( ( SV67 = SV380 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2782]) ).
thf(3115,plain,
! [SV67: set_a,SV380: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV380 @ SV67 ) )
= $false )
| ( ( SV67 = SV380 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2782]) ).
thf(3116,plain,
! [SV68: $o > set_a,SV671: $o > set_a,SV381: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV381 @ SV671 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV68 @ SV671 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV68 @ SV381 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(3117,plain,
! [SV69: set_Pr204296108_a_a_e,SV382: produc715398134_a_a_e > produc715398134_a_a_e,SV672: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK23_SY2324 @ SV672 @ SV382 @ SV69 ) @ SV69 )
| ( member1258382221_a_a_e @ ( SV382 @ ( sK23_SY2324 @ SV672 @ SV382 @ SV69 ) ) @ SV672 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SV672 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2784]) ).
thf(3118,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2785]) ).
thf(3119,plain,
! [SV385: set_Pr204296108_a_a_e,SV72: set_Pr204296108_a_a_e,SV675: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV675 @ SV72 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV675 @ SV385 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV72 @ SV385 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(3120,plain,
! [SV874: set_a,SV676: set_a > set_a,SV387: set_a,SV74: set_a] :
( ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
| ~ ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) )
| ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2788]) ).
thf(3121,plain,
! [SV75: set_a,SV677: set_a,SV388: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV388 @ SV677 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV75 @ SV677 )
= $true )
| ( ( ord_less_eq_set_a @ SV75 @ SV388 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2789]) ).
thf(3122,plain,
! [SV875: $o > set_a,SV678: set_set_a > $o > set_a,SV389: set_set_a,SV76: set_set_a] :
( ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false )
| ( ( ( ( SV678 @ SV389 )
!= SV875 )
| ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2790]) ).
thf(3123,plain,
! [SV390: set_a,SV679: a > e,SV77: produc715398134_a_a_e] :
( ( ( ! [SV958: a] :
( ( produc317566658_a_a_e @ SV77 @ SV958 )
= ( SV679 @ SV958 ) ) )
= $true )
| ( ( SV77
= ( produc1134456688_a_a_e @ SV390 @ SV679 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2791]) ).
thf(3124,plain,
! [SV390: set_a,SV679: a > e,SV77: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV77 )
= SV679 )
= $true )
| ( ( SV77
= ( produc1134456688_a_a_e @ SV390 @ SV679 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2791]) ).
thf(3125,plain,
! [SV876: $o > set_a,SV681: $o > set_a,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e] :
( ( ( SV79
= ( SV392 @ SV681 ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV681 @ SV876 )
| ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2793]) ).
thf(3126,plain,
! [SV877: set_a,SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a] :
( ( ( ! [SY2337: set_a] :
( ~ ( member_set_a @ SY2337 @ SV80 )
| ( member_set_a @ ( SV393 @ SY2337 ) @ SV682 ) ) )
= $false )
| ( ( ~ ( member_set_a @ SV877 @ SV80 )
| ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2794]) ).
thf(3127,plain,
! [SV878: set_a,SV683: set_a,SV394: set_a > set_a,SV81: set_a] :
( ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV683 @ SV878 )
| ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2795]) ).
thf(3128,plain,
! [SV82: set_set_set_a,SV395: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV395 @ SV82 )
= $false )
| ( ( SV82 = SV395 )
= $true )
| ( ( ord_le2103863998_set_a @ SV82 @ SV395 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2796]) ).
thf(3129,plain,
! [SV83: set_Pr204296108_a_a_e,SV684: set_Pr204296108_a_a_e,SV396: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV396 @ SV684 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV83 @ SV684 )
= $true )
| ( ( SV83 = SV396 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2797]) ).
thf(3130,plain,
! [SV85: set_set_set_a,SV686: set_set_set_a,SV398: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV398 @ SV686 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV85 @ SV686 )
= $true )
| ( ( ord_le2103863998_set_a @ SV85 @ SV398 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(3131,plain,
! [SV399: a > a,SV86: set_a,SV687: set_a] :
( ( ( ! [SY2341: set_a] :
( ~ ( ord_less_eq_set_a @ SY2341 @ SV687 )
| ( SV86
!= ( image_a_a @ SV399 @ SY2341 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2800]) ).
thf(3132,plain,
! [SV879: a > e,SV688: set_a,SV400: a > e,SV87: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false )
| ( ( ~ ( ( SV87 != SV688 )
| ( SV400 != SV879 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2801]) ).
thf(3133,plain,
! [SV88: set_set_a,SV401: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK10_SY1930 @ SV401 @ SV88 ) @ SV88 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV88 @ SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2802]) ).
thf(3134,plain,
! [SV88: set_set_a,SV401: set_set_a] :
( ( ( member_set_a @ ( sK10_SY1930 @ SV401 @ SV88 ) @ SV401 )
= $false )
| ( ( ord_le318720350_set_a @ SV88 @ SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2802]) ).
thf(3135,plain,
! [SV880: set_a,SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a] :
( ( ( ! [SY2344: set_a] :
( ~ ( member_set_a @ SY2344 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SY2344 ) @ SV689 ) ) )
= $false )
| ( ( ~ ( member_set_a @ SV880 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(3136,plain,
! [SV881: set_Pr204296108_a_a_e,SV690: produc715398134_a_a_e,SV403: produc715398134_a_a_e > produc715398134_a_a_e,SV90: produc715398134_a_a_e] :
( ( ( SV90
= ( SV403 @ SV690 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV690 @ SV881 )
| ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SV403 @ SV881 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(3137,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2806]) ).
thf(3138,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( SV406 = SV882 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2807]) ).
thf(3139,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2809]) ).
thf(3140,plain,
! [SV948: set_set_a > set_a,SV883: produc715398134_a_a_e > set_a,SV695: produc715398134_a_a_e > set_a,SV408: set_Pr204296108_a_a_e,SV95: set_Pr204296108_a_a_e] :
( ( ( SV95 != SV408 )
= $true )
| ( ( ~ ! [SY2506: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2506 @ SV408 )
| ( ( SV695 @ SY2506 )
= ( SV883 @ SY2506 ) ) )
| ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2810]) ).
thf(3141,plain,
! [SV409: set_a,SV96: set_a,SV696: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV696 @ SV96 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV696 @ SV409 )
= $true )
| ( ( SV96 = SV409 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2811]) ).
thf(3142,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2812]) ).
thf(3143,plain,
! [SV98: set_set_set_a,SV411: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV411 @ SV98 )
= $false )
| ( ( SV411 = SV98 )
= $true )
| ( ( ord_le2103863998_set_a @ SV98 @ SV411 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2814]) ).
thf(3144,plain,
! [SV100: set_set_set_a,SV698: set_set_set_a,SV412: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV412 @ SV698 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV100 @ SV698 )
= $true )
| ( ( SV100 = SV412 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(3145,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2817]) ).
thf(3146,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV104 )
!= ( produc1040928388_a_a_e @ SV416 ) )
= $true )
| ( ( ( produc317566658_a_a_e @ SV104 )
!= ( produc317566658_a_a_e @ SV416 ) )
= $true )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2818]) ).
thf(3147,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 = SV105 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 != SV105 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(3148,plain,
! [SV106: a > e,SV701: ( a > e ) > $o,SV418: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2352: set_a,SY2353: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2352 @ SY2353 ) @ SV418 )
| ( SV701 @ SY2353 ) ) )
= $true )
| ( ( SV701 @ SV106 )
= $true )
| ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2821]) ).
thf(3149,plain,
! [SV108: set_Pr204296108_a_a_e,SV702: set_Pr204296108_a_a_e,SV420: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV420 @ SV702 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV108 @ SV702 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV108 @ SV420 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(3150,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ( SV421 = SV885 )
| ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(3151,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2825]) ).
thf(3152,plain,
! [SV959: set_Pr204296108_a_a_e,SV949: produc715398134_a_a_e > a > e,SV886: a > e,SV706: produc715398134_a_a_e,SV424: produc715398134_a_a_e > set_a,SV112: set_a] :
( ( ( SV112
!= ( SV424 @ SV706 ) )
| ( SV886
!= ( SV949 @ SV706 ) )
| ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2827]) ).
thf(3153,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(3154,plain,
! [SV887: ( a > e ) > set_a > $o,SV708: set_Pr204296108_a_a_e,SV426: set_a,SV114: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false )
| ( ( ~ ! [SY2509: set_a,SY2510: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2509 @ SY2510 ) @ SV708 )
| ( SV887 @ SY2510 @ SY2509 ) )
| ( SV887 @ SV114 @ SV426 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(3155,plain,
! [SV115: set_a,SV427: a > a,SV709: set_a] :
( ( ( ~ ( member_a @ ( sK24_SY2363 @ SV709 @ SV427 @ SV115 ) @ SV115 )
| ( member_a @ ( SV427 @ ( sK24_SY2363 @ SV709 @ SV427 @ SV115 ) ) @ SV709 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SV709 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2830]) ).
thf(3156,plain,
! [SV888: set_set_a,SV710: set_set_a > set_set_a,SV429: set_set_a,SV117: set_set_a] :
( ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false )
| ( ( ( ( SV710 @ SV429 )
!= SV888 )
| ~ ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) )
| ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(3157,plain,
! [SV430: set_set_set_a,SV118: set_set_set_a,SV711: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV711 @ SV118 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV711 @ SV430 )
= $true )
| ( ( ord_le2103863998_set_a @ SV118 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(3158,plain,
! [SV119: produc715398134_a_a_e > set_a,SV431: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV431 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false )
| ( ( ( image_2101504031_set_a @ ( produc387505142_set_a @ SV119 @ SV431 ) @ top_to970499581_a_a_e )
= top_to144004695_set_a )
= $true )
| ( ( ( image_64240033_set_a @ SV119 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(3159,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ( ( SV432 = SV889 )
| ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2835]) ).
thf(3160,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2837]) ).
thf(3161,plain,
! [SV122: $o > set_a,SV434: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV434 @ SV122 )
= $false )
| ( ( SV434 = SV122 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(3162,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(3163,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV437 @ SV890 )
| ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2841]) ).
thf(3164,plain,
! [SV891: set_set_a,SV717: set_a,SV438: set_a > a > e,SV126: a > e] :
( ( ( SV126
= ( SV438 @ SV717 ) )
= $false )
| ( ( ~ ( member_set_a @ SV717 @ SV891 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(3165,plain,
! [SV439: $o > set_a,SV127: $o > set_a] :
( ( ( ( SV127 @ ( sK25_SV950 @ SV439 @ SV127 ) )
= ( SV439 @ ( sK25_SV950 @ SV439 @ SV127 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV127 @ SV439 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2844]) ).
thf(3166,plain,
! [SV129: set_a,SV718: set_a,SV441: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV441 @ SV718 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV129 @ SV718 )
= $true )
| ( ( ord_less_eq_set_a @ SV129 @ SV441 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2846]) ).
thf(3167,plain,
! [SV719: a,SV442: set_a,SV130: set_a] :
( ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $false )
| ( ( ~ ~ ( member_a @ SV719 @ SV130 )
| ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2847]) ).
thf(3168,plain,
! [SV719: a,SV130: set_a,SV442: set_a] :
( ( ( ord_less_eq_set_a @ SV442 @ SV130 )
= $false )
| ( ( ~ ~ ( member_a @ SV719 @ SV130 )
| ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2847]) ).
thf(3169,plain,
! [SV443: $o > set_a,SV131: $o > set_a,SV720: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV720 @ SV131 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV720 @ SV443 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV131 @ SV443 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2848]) ).
thf(3170,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2849]) ).
thf(3171,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2849]) ).
thf(3172,plain,
! [SV445: set_a > set_a,SV133: set_set_a,SV721: set_set_a] :
( ( ( ! [SY2371: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2371 @ SV721 )
| ( SV133
!= ( image_set_a_set_a @ SV445 @ SY2371 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2850]) ).
thf(3173,plain,
! [SV134: set_Pr204296108_a_a_e,SV446: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV446 @ SV134 )
= $false )
| ( ( SV134 = SV446 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV134 @ SV446 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2851]) ).
thf(3174,plain,
! [SV722: a > e,SV447: a > e,SV135: set_a] :
( ( ( ! [SV960: a] :
( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) @ SV960 )
= ( SV722 @ SV960 ) ) )
= $false )
| ( ( SV447 = SV722 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2852]) ).
thf(3175,plain,
! [SV722: a > e,SV447: a > e,SV135: set_a] :
( ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
= SV722 )
= $false )
| ( ( SV447 = SV722 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2852]) ).
thf(3176,plain,
! [SV892: set_Pr204296108_a_a_e,SV723: produc715398134_a_a_e,SV448: produc715398134_a_a_e > set_a,SV136: set_a] :
( ( ( SV136
= ( SV448 @ SV723 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV723 @ SV892 )
| ( member_set_a @ SV136 @ ( image_64240033_set_a @ SV448 @ SV892 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(3177,plain,
! [SV449: set_a,SV137: set_a] :
( ( ( ! [SY2002: a] :
~ ~ ( ~ ( member_a @ SY2002 @ SV137 )
| ~ ~ ( member_a @ SY2002 @ SV449 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2854]) ).
thf(3178,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 = SV138 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(3179,plain,
! [SV139: set_set_set_a,SV724: set_set_set_a,SV451: set_set_set_a] :
( ( ( SV451 != SV724 )
= $true )
| ( ( ord_le2103863998_set_a @ SV139 @ SV724 )
= $true )
| ( ( ord_le2103863998_set_a @ SV139 @ SV451 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2857]) ).
thf(3180,plain,
! [SV140: $o > set_a,SV725: $o > set_a,SV452: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV452 @ SV725 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV140 @ SV725 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV140 @ SV452 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2858]) ).
thf(3181,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ( SV453 = SV893 )
| ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(3182,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false )
| ( ( ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(3183,plain,
! [SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(3184,plain,
! [SV455: set_set_a > a,SV143: set_a,SV727: set_set_set_a] :
( ( ( ! [SY2373: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2373 @ SV727 )
| ( SV143
!= ( image_set_set_a_a @ SV455 @ SY2373 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2862]) ).
thf(3185,plain,
! [SV144: set_Pr204296108_a_a_e,SV456: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK12_SY2010 @ SV456 @ SV144 ) @ ( sK26_SY2554 @ SV144 @ SV456 ) ) @ SV144 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK12_SY2010 @ SV456 @ SV144 ) @ ( sK26_SY2554 @ SV144 @ SV456 ) ) @ SV456 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV144 @ SV456 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2863]) ).
thf(3186,plain,
! [SV145: set_a,SV457: set_a] :
( ( ( ord_less_eq_set_a @ SV457 @ SV145 )
= $false )
| ( ( SV145 = SV457 )
= $true )
| ( ( ord_less_eq_set_a @ SV145 @ SV457 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2864]) ).
thf(3187,plain,
! [SV149: set_set_a,SV731: set_set_a,SV461: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV461 @ SV731 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV149 @ SV731 )
= $true )
| ( ( ord_le318720350_set_a @ SV149 @ SV461 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2868]) ).
thf(3188,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV462 @ SV894 )
| ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2869]) ).
thf(3189,plain,
! [SV895: set_a_e,SV734: a > e,SV465: ( a > e ) > a,SV153: a] :
( ( ( SV153
= ( SV465 @ SV734 ) )
= $false )
| ( ( ~ ( member_a_e @ SV734 @ SV895 )
| ( member_a @ SV153 @ ( image_a_e_a @ SV465 @ SV895 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2872]) ).
thf(3190,plain,
! [SV154: set_set_a,SV466: set_a > set_a,SV735: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK27_SY2376 @ SV735 @ SV466 @ SV154 ) @ SV154 )
| ( member_set_a @ ( SV466 @ ( sK27_SY2376 @ SV735 @ SV466 @ SV154 ) ) @ SV735 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SV735 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2873]) ).
thf(3191,plain,
! [SV896: set_Pr204296108_a_a_e,SV736: ( a > e ) > a > e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false )
| ( ( ~ ! [SY2515: set_a,SY2516: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ SY2515 ) @ ( SV736 @ SY2516 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2515 @ SY2516 ) @ SV896 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(3192,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ~ ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 = SV156 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 != SV156 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2875]) ).
thf(3193,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV471 @ SV159 ) )
= $true )
| ( ( ~ ! [SY2029: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2029 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY2029 @ SV471 ) ) )
= $true )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2879]) ).
thf(3194,plain,
! [SV472: a > set_set_a,SV160: set_set_set_a,SV739: set_a] :
( ( ( ! [SY2380: set_a] :
( ~ ( ord_less_eq_set_a @ SY2380 @ SV739 )
| ( SV160
!= ( image_a_set_set_a @ SV472 @ SY2380 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2880]) ).
thf(3195,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2881]) ).
thf(3196,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2881]) ).
thf(3197,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ( SV474 = SV897 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2882]) ).
thf(3198,plain,
! [SV163: set_set_a,SV475: set_set_a] :
( ( ( ord_le318720350_set_a @ SV475 @ SV163 )
= $false )
| ( ( SV475 = SV163 )
= $true )
| ( ( ord_le318720350_set_a @ SV163 @ SV475 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(3199,plain,
! [SV476: set_Pr204296108_a_a_e,SV164: set_Pr204296108_a_a_e,SV741: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV741 @ SV164 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV741 @ SV476 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV164 @ SV476 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2885]) ).
thf(3200,plain,
! [SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV742: set_a_e,SV477: set_Pr204296108_a_a_e,SV165: set_set_a] :
( ( ( SV165
!= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $true )
| ( ( ( SV742
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
| ~ ! [SY2555: set_a] :
( ~ ( member_set_a @ SY2555 @ SV165 )
| ! [SY2556: a > e] :
( ~ ( member_a_e @ SY2556 @ SV742 )
| ~ ( SV898 @ SY2555 @ SY2556 )
| ( SV951 @ SY2555 @ SY2556 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2886]) ).
thf(3201,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 = SV166 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 != SV166 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2887]) ).
thf(3202,plain,
! [SV899: set_set_a,SV744: set_a > set_set_a,SV481: set_a,SV169: set_a] :
( ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false )
| ( ( ( ( SV744 @ SV481 )
!= SV899 )
| ~ ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) )
| ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2890]) ).
thf(3203,plain,
! [SV170: set_a,SV482: set_a] :
( ( ( ord_less_eq_set_a @ SV482 @ SV170 )
= $false )
| ( ( SV482 = SV170 )
= $true )
| ( ( ord_less_eq_set_a @ SV170 @ SV482 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(3204,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ( ( ord_le318720350_set_a @ SV483 @ SV900 )
| ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(3205,plain,
! [SV173: set_Pr204296108_a_a_e,SV485: produc715398134_a_a_e > set_a,SV747: set_set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK28_SY2389 @ SV747 @ SV485 @ SV173 ) @ SV173 )
| ( member_set_a @ ( SV485 @ ( sK28_SY2389 @ SV747 @ SV485 @ SV173 ) ) @ SV747 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SV747 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2895]) ).
thf(3206,plain,
! [SV174: set_set_a,SV748: set_set_a,SV486: set_set_a] :
( ( ( SV486 != SV748 )
= $true )
| ( ( ord_le318720350_set_a @ SV174 @ SV748 )
= $true )
| ( ( ord_le318720350_set_a @ SV174 @ SV486 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2896]) ).
thf(3207,plain,
! [SV901: set_set_a,SV749: set_a,SV487: set_a > a,SV175: a] :
( ( ( SV175
= ( SV487 @ SV749 ) )
= $false )
| ( ( ~ ( member_set_a @ SV749 @ SV901 )
| ( member_a @ SV175 @ ( image_set_a_a @ SV487 @ SV901 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2897]) ).
thf(3208,plain,
! [SV488: set_set_a,SV176: set_set_a] :
( ( ( ! [SY2055: set_a] :
~ ~ ( ~ ( member_set_a @ SY2055 @ SV176 )
| ~ ~ ( member_set_a @ SY2055 @ SV488 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2898]) ).
thf(3209,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2899]) ).
thf(3210,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2899]) ).
thf(3211,plain,
! [SV178: produc715398134_a_a_e > set_a,SV490: set_a] :
( ( ( SV490
!= ( SV178 @ ( sK29_SY2057 @ SV178 @ SV490 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV178 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2900]) ).
thf(3212,plain,
! [SV179: set_a,SV750: set_a,SV491: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV491 @ SV750 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV179 @ SV750 )
= $true )
| ( ( SV179 = SV491 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2901]) ).
thf(3213,plain,
! [SV492: set_a,SV180: set_a,SV751: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV751 @ SV180 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV751 @ SV492 )
= $true )
| ( ( ord_less_eq_set_a @ SV180 @ SV492 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2902]) ).
thf(3214,plain,
! [SV181: set_set_a,SV493: set_set_a] :
( ( ( ord_le318720350_set_a @ SV493 @ SV181 )
= $false )
| ( ( SV181 = SV493 )
= $true )
| ( ( ord_le318720350_set_a @ SV181 @ SV493 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2903]) ).
thf(3215,plain,
! [SV183: set_a,SV495: set_a] :
( ( ( ~ ( member_a @ ( sK13_SY2061 @ SV495 @ SV183 ) @ SV183 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV183 @ SV495 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2905]) ).
thf(3216,plain,
! [SV183: set_a,SV495: set_a] :
( ( ( member_a @ ( sK13_SY2061 @ SV495 @ SV183 ) @ SV495 )
= $false )
| ( ( ord_less_eq_set_a @ SV183 @ SV495 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2905]) ).
thf(3217,plain,
! [SV902: produc715398134_a_a_e,SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e] :
( ( ( ! [SY2392: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2392 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SY2392 ) @ SV753 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2906]) ).
thf(3218,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(3219,plain,
! [SV903: $o > set_a,SV755: $o > set_a,SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a] :
( ( ( SV186
= ( SV498 @ SV755 ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV755 @ SV903 )
| ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2908]) ).
thf(3220,plain,
! [SV187: set_Pr204296108_a_a_e,SV756: set_Pr204296108_a_a_e,SV499: set_Pr204296108_a_a_e] :
( ( ( SV499 != SV756 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV187 @ SV756 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV187 @ SV499 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2909]) ).
thf(3221,plain,
! [SV904: a > e,SV757: set_Pr204296108_a_a_e,SV500: a > e,SV188: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
= $false )
| ( ( ( SV904 != SV500 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2910]) ).
thf(3222,plain,
! [SV189: set_Pr204296108_a_a_e,SV758: set_Pr204296108_a_a_e,SV501: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV501 @ SV758 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV189 @ SV758 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV189 @ SV501 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(3223,plain,
! [SV502: set_Pr204296108_a_a_e,SV190: set_Pr204296108_a_a_e] :
( ( ( ! [SY2075: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2075 @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ SY2075 @ SV502 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2912]) ).
thf(3224,plain,
! [SV905: produc715398134_a_a_e > set_a,SV760: produc715398134_a_a_e > set_a,SV504: set_Pr204296108_a_a_e,SV192: set_Pr204296108_a_a_e] :
( ( ( SV192 = SV504 )
= $false )
| ( ( ~ ! [SY2526: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2526 @ SV504 )
| ( ( SV760 @ SY2526 )
= ( SV905 @ SY2526 ) ) )
| ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2914]) ).
thf(3225,plain,
! [SV193: $o > set_a,SV761: $o > set_a,SV505: $o > set_a] :
( ( ( SV505 != SV761 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV761 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV505 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2915]) ).
thf(3226,plain,
! [SV506: set_Pr204296108_a_a_e,SV194: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV194 @ ( sK30_SY2081 @ SV506 @ SV194 ) ) @ SV506 ) )
= $false )
| ( ( member_set_a @ SV194 @ ( domain_set_a_a_e @ SV506 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2916]) ).
thf(3227,plain,
! [SV508: set_set_a,SV196: set_set_a,SV763: set_a] :
( ( ( ~ ( member_set_a @ SV763 @ SV196 ) )
= $true )
| ( ( member_set_a @ SV763 @ SV508 )
= $true )
| ( ( ord_le318720350_set_a @ SV196 @ SV508 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2918]) ).
thf(3228,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2919]) ).
thf(3229,plain,
! [SV510: produc715398134_a_a_e,SV198: produc715398134_a_a_e > $o] :
( ( ( SV198 @ ( produc1134456688_a_a_e @ ( sK14_SY1497 @ SV510 @ SV198 ) @ ( sK31_SY2557 @ SV510 @ SV198 ) ) )
= $false )
| ( ( SV198 @ SV510 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2920]) ).
thf(3230,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2921]) ).
thf(3231,plain,
! [SV201: set_a,SV767: set_a,SV513: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV513 @ SV767 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV201 @ SV767 )
= $true )
| ( ( ord_less_eq_set_a @ SV201 @ SV513 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2923]) ).
thf(3232,plain,
! [SV514: set_a,SV202: set_a,SV768: a] :
( ( ( ~ ( member_a @ SV768 @ SV202 ) )
= $true )
| ( ( member_a @ SV768 @ SV514 )
= $true )
| ( ( ord_less_eq_set_a @ SV202 @ SV514 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2924]) ).
thf(3233,plain,
! [SV203: produc715398134_a_a_e > set_a,SV515: set_Pr204296108_a_a_e,SV769: set_a > $o] :
( ( ( ~ ( member_set_a @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) @ ( image_64240033_set_a @ SV203 @ SV515 ) )
| ( SV769 @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) ) )
= $false )
| ( ( ! [SY2404: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2404 @ SV515 )
| ( SV769 @ ( SV203 @ SY2404 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2925]) ).
thf(3234,plain,
! [SV770: set_a,SV516: set_set_a,SV204: set_set_a] :
( ( ( ord_le318720350_set_a @ SV204 @ SV516 )
= $false )
| ( ( ~ ( member_set_a @ SV770 @ SV204 )
| ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2926]) ).
thf(3235,plain,
! [SV770: set_a,SV204: set_set_a,SV516: set_set_a] :
( ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $false )
| ( ( ~ ( member_set_a @ SV770 @ SV204 )
| ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2926]) ).
thf(3236,plain,
! [SV517: produc715398134_a_a_e,SV205: produc715398134_a_a_e > $o] :
( ( ( SV205 @ ( produc1134456688_a_a_e @ ( sK15_SY1516 @ SV517 @ SV205 ) @ ( sK33_SY2558 @ SV517 @ SV205 ) ) )
= $false )
| ( ( SV205 @ SV517 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2927]) ).
thf(3237,plain,
! [SV906: set_a,SV771: set_set_set_a > set_a,SV518: set_set_set_a,SV206: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false )
| ( ( ( ( SV771 @ SV518 )
!= SV906 )
| ~ ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) )
| ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2928]) ).
thf(3238,plain,
! [SV907: set_a,SV772: a,SV519: a > set_a,SV207: set_a] :
( ( ( SV207
= ( SV519 @ SV772 ) )
= $false )
| ( ( ~ ( member_a @ SV772 @ SV907 )
| ( member_set_a @ SV207 @ ( image_a_set_a @ SV519 @ SV907 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2929]) ).
thf(3239,plain,
! [SV521: set_a > a,SV209: set_a,SV773: set_set_a] :
( ( ( ! [SY2409: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2409 @ SV773 )
| ( SV209
!= ( image_set_a_a @ SV521 @ SY2409 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2930]) ).
thf(3240,plain,
! [SV522: set_Pr204296108_a_a_e,SV210: set_Pr204296108_a_a_e,SV774: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV774 @ SV210 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV774 @ SV522 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV210 @ SV522 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2931]) ).
thf(3241,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV523 @ SV211 ) )
= $true )
| ( ( ~ ! [SY2109: a] :
~ ~ ( ~ ( member_a @ SY2109 @ SV211 )
| ~ ~ ( member_a @ SY2109 @ SV523 ) ) )
= $true )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2932]) ).
thf(3242,plain,
! [SV212: set_set_a,SV524: set_set_a] :
( ( ( ord_le318720350_set_a @ SV524 @ SV212 )
= $false )
| ( ( SV212 = SV524 )
= $true )
| ( ( ord_le318720350_set_a @ SV212 @ SV524 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2933]) ).
thf(3243,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2934]) ).
thf(3244,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( SV526 = SV909 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2936]) ).
thf(3245,plain,
! [SV215: set_set_set_a,SV527: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV527 @ SV215 )
= $false )
| ( ( SV215 = SV527 )
= $true )
| ( ( ord_le2103863998_set_a @ SV215 @ SV527 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2938]) ).
thf(3246,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2939]) ).
thf(3247,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2939]) ).
thf(3248,plain,
! [SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e,SV777: produc715398134_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ SV777 @ SV217 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV777 @ SV529 )
| ( SV217 != SV529 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV217 @ SV529 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2940]) ).
thf(3249,plain,
! [SV531: set_set_a,SV219: set_set_a,SV779: set_a] :
( ( ( ~ ~ ( member_set_a @ SV779 @ SV219 ) )
= $true )
| ( ( ~ ( member_set_a @ SV779 @ SV531 )
| ( SV219 != SV531 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV219 @ SV531 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2942]) ).
thf(3250,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ( ! [SY2119: set_a] :
( ~ ( SV221 @ SY2119 )
| ( ord_less_eq_set_a @ SY2119 @ SV533 ) ) )
= $false )
| ( ( ( order_Greatest_set_a @ SV221 )
= SV533 )
= $true )
| ( ( SV221 @ SV533 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(3251,plain,
! [SV910: produc715398134_a_a_e > produc715398134_a_a_e,SV782: produc715398134_a_a_e,SV535: set_Pr204296108_a_a_e,SV223: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV223 @ SV535 )
= $false )
| ( ( ( SV782
!= ( SV910 @ SV223 ) )
| ( member1258382221_a_a_e @ SV782 @ ( image_625620211_a_a_e @ SV910 @ SV535 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(3252,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2947]) ).
thf(3253,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ~ ( ( SV537 = SV911 )
| ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2948]) ).
thf(3254,plain,
! [SV539: set_Pr204296108_a_a_e,SV227: set_Pr204296108_a_a_e] :
( ( ( ! [SY2127: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2127 @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ SY2127 @ SV539 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2950]) ).
thf(3255,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( SV540 = SV912 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3256,plain,
! [SV229: set_a,SV541: set_a] :
( ( ( ord_less_eq_set_a @ SV541 @ SV229 )
= $false )
| ( ( SV229 = SV541 )
= $true )
| ( ( ord_less_eq_set_a @ SV229 @ SV541 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2953]) ).
thf(3257,plain,
! [SV913: $o > set_a,SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a] :
( ( ( SV230
= ( SV542 @ SV786 ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2954]) ).
thf(3258,plain,
! [SV543: produc715398134_a_a_e > set_a,SV231: set_a,SV787: set_Pr204296108_a_a_e] :
( ( ( ! [SY2416: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2416 @ SV787 )
| ( SV231
!= ( SV543 @ SY2416 ) ) ) )
= $false )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(3259,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV545 @ SV914 )
| ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2957]) ).
thf(3260,plain,
! [SV915: set_a,SV790: a,SV546: a > a,SV234: a] :
( ( ( SV234
= ( SV546 @ SV790 ) )
= $false )
| ( ( ~ ( member_a @ SV790 @ SV915 )
| ( member_a @ SV234 @ ( image_a_a @ SV546 @ SV915 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2959]) ).
thf(3261,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ( SV547 = SV916 )
| ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2960]) ).
thf(3262,plain,
! [SV236: produc715398134_a_a_e] :
( ( SV236
!= ( produc1134456688_a_a_e @ ( sK4_SY1585 @ SV236 ) @ ( sK34_SY2419 @ SV236 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2962]) ).
thf(3263,plain,
! [SV237: set_a_e,SV548: set_a_e] :
( ( ( ~ ( member_a_e @ ( sK16_SY2143 @ SV548 @ SV237 ) @ SV237 ) )
= $false )
| ( ( ord_less_eq_set_a_e @ SV237 @ SV548 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2963]) ).
thf(3264,plain,
! [SV237: set_a_e,SV548: set_a_e] :
( ( ( member_a_e @ ( sK16_SY2143 @ SV548 @ SV237 ) @ SV548 )
= $false )
| ( ( ord_less_eq_set_a_e @ SV237 @ SV548 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2963]) ).
thf(3265,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ~ ( ( SV549 = SV917 )
| ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2964]) ).
thf(3266,plain,
( ( ~ ( ~ ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2966]) ).
thf(3267,plain,
( ( ord_less_eq_set_a @ a3 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2967]) ).
thf(3268,plain,
! [SV239: set_Pr305929312_set_a,SV550: set_Pr305929312_set_a] :
( ( ( ~ ( member360729153_set_a @ ( sK17_SY2146 @ SV550 @ SV239 ) @ SV239 ) )
= $false )
| ( ( ord_le802356416_set_a @ SV239 @ SV550 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2968]) ).
thf(3269,plain,
! [SV239: set_Pr305929312_set_a,SV550: set_Pr305929312_set_a] :
( ( ( member360729153_set_a @ ( sK17_SY2146 @ SV550 @ SV239 ) @ SV550 )
= $false )
| ( ( ord_le802356416_set_a @ SV239 @ SV550 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2968]) ).
thf(3270,plain,
! [SV918: set_a > set_a,SV794: set_a,SV552: set_set_a,SV241: set_a] :
( ( ( member_set_a @ SV241 @ SV552 )
= $false )
| ( ( ( SV794
!= ( SV918 @ SV241 ) )
| ( member_set_a @ SV794 @ ( image_set_a_set_a @ SV918 @ SV552 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2970]) ).
thf(3271,plain,
! [SV242: set_set_set_a,SV553: set_set_set_a] :
( ( ( ~ ( member_set_set_a @ ( sK18_SY2150 @ SV553 @ SV242 ) @ SV242 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV242 @ SV553 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3272,plain,
! [SV242: set_set_set_a,SV553: set_set_set_a] :
( ( ( member_set_set_a @ ( sK18_SY2150 @ SV553 @ SV242 ) @ SV553 )
= $false )
| ( ( ord_le2103863998_set_a @ SV242 @ SV553 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3273,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2973]) ).
thf(3274,plain,
! [SV245: set_a,SV797: set_a,SV556: set_a] :
( ( ( SV556 != SV797 )
= $true )
| ( ( ord_less_eq_set_a @ SV245 @ SV797 )
= $true )
| ( ( ord_less_eq_set_a @ SV245 @ SV556 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2975]) ).
thf(3275,plain,
! [SV248: produc715398134_a_a_e,SV920: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV920 @ c )
= $false )
| ( ( ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV248 ) @ ( produc1040928388_a_a_e @ SV920 ) )
| ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV920 ) @ ( produc1040928388_a_a_e @ SV248 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV248 @ c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2978]) ).
thf(3276,plain,
! [SV921: set_a,SV800: set_a > set_a,SV559: set_a,SV249: set_a] :
( ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false )
| ( ( ( ( SV800 @ SV559 )
!= SV921 )
| ~ ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) )
| ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3277,plain,
! [SV801: produc715398134_a_a_e,SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV250 )
| ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3278,plain,
! [SV801: produc715398134_a_a_e,SV250: set_Pr204296108_a_a_e,SV560: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV250 )
| ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3279,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2981]) ).
thf(3280,plain,
! [SV922: set_a,SV803: set_set_a > set_a,SV562: set_set_a,SV252: set_set_a] :
( ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false )
| ( ( ( ( SV803 @ SV562 )
!= SV922 )
| ~ ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) )
| ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3281,plain,
! [SV923: $o > set_a,SV804: $o > set_a,SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a] :
( ( ( SV253
= ( SV563 @ SV804 ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV804 @ SV923 )
| ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(3282,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 = SV255 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 != SV255 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2984]) ).
thf(3283,plain,
! [SV924: produc715398134_a_a_e,SV805: a > e,SV566: set_a,SV257: set_a > ( a > e ) > $o] :
( ( ( SV257 @ SV566 @ SV805 )
= $false )
| ( ( ( SV924
!= ( produc1134456688_a_a_e @ SV566 @ SV805 ) )
| ( SV257 @ ( produc1040928388_a_a_e @ SV924 ) @ ( produc317566658_a_a_e @ SV924 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3284,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2987]) ).
thf(3285,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2987]) ).
thf(3286,plain,
! [SV259: set_set_a,SV568: set_set_a] :
( ( ( ord_le318720350_set_a @ SV568 @ SV259 )
= $false )
| ( ( SV259 = SV568 )
= $true )
| ( ( ord_le318720350_set_a @ SV259 @ SV568 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3287,plain,
! [SV260: produc715398134_a_a_e > set_a,SV569: set_a] :
( ( ( SV569
!= ( SV260 @ ( sK35_SY2175 @ SV260 @ SV569 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV260 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2989]) ).
thf(3288,plain,
! [SV806: produc715398134_a_a_e,SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $false )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV806 @ SV261 )
| ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2990]) ).
thf(3289,plain,
! [SV806: produc715398134_a_a_e,SV261: set_Pr204296108_a_a_e,SV570: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV570 @ SV261 )
= $false )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV806 @ SV261 )
| ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2990]) ).
thf(3290,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3291,plain,
! [SV925: set_a,SV809: set_a,SV573: set_a > set_a,SV264: set_a] :
( ( ( SV264
= ( SV573 @ SV809 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV809 @ SV925 )
| ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3292,plain,
! [SV574: set_a,SV265: set_a,SV810: a] :
( ( ( ~ ~ ( member_a @ SV810 @ SV265 ) )
= $true )
| ( ( ~ ( member_a @ SV810 @ SV574 )
| ( SV265 != SV574 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV265 @ SV574 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2994]) ).
thf(3293,plain,
! [SV575: set_set_a,SV266: set_set_a] :
( ( ( ! [SY2185: set_a] :
~ ~ ( ~ ( member_set_a @ SY2185 @ SV266 )
| ~ ~ ( member_set_a @ SY2185 @ SV575 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3294,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2996]) ).
thf(3295,plain,
! [SV927: set_a,SV812: a,SV577: a > a > e,SV268: a > e] :
( ( ( SV268
= ( SV577 @ SV812 ) )
= $false )
| ( ( ~ ( member_a @ SV812 @ SV927 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2998]) ).
thf(3296,plain,
! [SV578: set_a > ( a > e ) > set_set_a,SV269: set_a,SV813: produc715398134_a_a_e] :
( ( ( ! [SY2439: set_a,SY2440: a > e] :
( ( SV813
!= ( produc1134456688_a_a_e @ SY2439 @ SY2440 ) )
| ~ ( member_set_a @ SV269 @ ( SV578 @ SY2439 @ SY2440 ) ) ) )
= $false )
| ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2999]) ).
thf(3297,plain,
! [SV579: set_set_a > set_set_a,SV270: set_set_set_a,SV814: set_set_set_a] :
( ( ( ! [SY2441: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2441 @ SV814 )
| ( SV270
!= ( image_1956910981_set_a @ SV579 @ SY2441 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3298,plain,
! [SV961: set_set_a,SV952: set_a > a > e,SV928: a > e,SV815: set_a,SV580: set_a > set_a,SV271: set_a] :
( ( ( SV271
!= ( SV580 @ SV815 ) )
| ( SV928
!= ( SV952 @ SV815 ) )
| ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3001]) ).
thf(3299,plain,
! [SV581: produc715398134_a_a_e,SV272: ( a > e ) > set_a > $o] :
( ( ( ! [SY2562: a > e] :
~ ( SV272 @ SY2562 @ ( sK36_SY1678 @ SV581 @ SV272 ) ) )
= $false )
| ( ( SV272 @ ( produc317566658_a_a_e @ SV581 ) @ ( produc1040928388_a_a_e @ SV581 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3002]) ).
thf(3300,plain,
! [SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV273: produc715398134_a_a_e,SV816: produc715398134_a_a_e] :
( ( ( ! [SY2445: set_a,SY2446: a > e] :
( ( SV816
!= ( produc1134456688_a_a_e @ SY2445 @ SY2446 ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ SY2445 @ SY2446 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3301,plain,
! [SV274: a > e,SV583: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK37_SY2204 @ SV583 @ SV274 ) @ SV274 ) @ SV583 ) )
= $false )
| ( ( member_a_e @ SV274 @ ( range_set_a_a_e @ SV583 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3004]) ).
thf(3302,plain,
! [SV929: set_a,SV817: ( $o > set_a ) > set_a,SV584: $o > set_a,SV275: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false )
| ( ( ( ( SV817 @ SV584 )
!= SV929 )
| ~ ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) )
| ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3005]) ).
thf(3303,plain,
! [SV585: set_a,SV276: set_a] :
( ( ( ! [SY2209: a] :
~ ~ ( ~ ( member_a @ SY2209 @ SV276 )
| ~ ~ ( member_a @ SY2209 @ SV585 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3304,plain,
! [SV818: a,SV586: set_a,SV277: set_a] :
( ( ( ord_less_eq_set_a @ SV277 @ SV586 )
= $false )
| ( ( ~ ( member_a @ SV818 @ SV277 )
| ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3007]) ).
thf(3305,plain,
! [SV818: a,SV277: set_a,SV586: set_a] :
( ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $false )
| ( ( ~ ( member_a @ SV818 @ SV277 )
| ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3007]) ).
thf(3306,plain,
! [SV930: set_a > produc715398134_a_a_e,SV819: produc715398134_a_a_e,SV588: set_set_a,SV279: set_a] :
( ( ( member_set_a @ SV279 @ SV588 )
= $false )
| ( ( ( SV819
!= ( SV930 @ SV279 ) )
| ( member1258382221_a_a_e @ SV819 @ ( image_210900495_a_a_e @ SV930 @ SV588 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3307,plain,
! [SV280: produc1965228714_set_a] :
( ( SV280
!= ( produc479206876_set_a @ ( sK5_SY1699 @ SV280 ) @ ( sK38_SY2451 @ SV280 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3009]) ).
thf(3308,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ( SV589 = SV931 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3010]) ).
thf(3309,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3310,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2563: produc715398134_a_a_e] :
( ( sK39_SY1703 @ SV282 )
!= ( SV282 @ SY2563 ) ) )
= $false )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3013]) ).
thf(3311,plain,
! [SV953: set_set_a > set_a,SV932: produc715398134_a_a_e > set_a,SV821: produc715398134_a_a_e > set_a,SV590: set_Pr204296108_a_a_e,SV283: set_Pr204296108_a_a_e] :
( ( ( SV283 != SV590 )
= $true )
| ( ( ~ ! [SY2546: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2546 @ SV590 )
| ( ( SV821 @ SY2546 )
= ( SV932 @ SY2546 ) ) )
| ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3014]) ).
thf(3312,plain,
! [SV284: set_set_a,SV591: set_a > produc715398134_a_a_e,SV822: set_Pr204296108_a_a_e] :
( ( ( ~ ( member_set_a @ ( sK40_SY2455 @ SV822 @ SV591 @ SV284 ) @ SV284 )
| ( member1258382221_a_a_e @ ( SV591 @ ( sK40_SY2455 @ SV822 @ SV591 @ SV284 ) ) @ SV822 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SV822 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3015]) ).
thf(3313,plain,
! [SV592: set_set_a,SV285: set_set_a,SV823: set_a] :
( ( ( ~ ( member_set_a @ SV823 @ SV285 ) )
= $true )
| ( ( member_set_a @ SV823 @ SV592 )
= $true )
| ( ( ord_le318720350_set_a @ SV285 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3016]) ).
thf(3314,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3017]) ).
thf(3315,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3316,plain,
! [SV596: set_Pr204296108_a_a_e,SV289: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV289 @ ( sK41_SY2227 @ SV596 @ SV289 ) ) @ SV596 ) )
= $false )
| ( ( member_set_a @ SV289 @ ( domain_set_a_a_e @ SV596 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3020]) ).
thf(3317,plain,
! [SV290: set_set_a,SV826: set_set_a,SV597: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV597 @ SV826 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV290 @ SV826 )
= $true )
| ( ( SV290 = SV597 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3021]) ).
thf(3318,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ( SV600 = SV934 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3319,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3026]) ).
thf(3320,plain,
! [SV295: a > e,SV602: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK42_SY2235 @ SV602 @ SV295 ) @ SV295 ) @ SV602 ) )
= $false )
| ( ( member_a_e @ SV295 @ ( range_set_a_a_e @ SV602 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3027]) ).
thf(3321,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ~ ( ( SV604 = SV935 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3322,plain,
! [SV936: set_set_a,SV833: set_a,SV605: set_a > set_a,SV298: set_a] :
( ( ( SV298
= ( SV605 @ SV833 ) )
= $false )
| ( ( ~ ( member_set_a @ SV833 @ SV936 )
| ( member_set_a @ SV298 @ ( image_set_a_set_a @ SV605 @ SV936 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3323,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ( SV606 = SV937 )
| ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3032]) ).
thf(3324,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ( SV607 = SV938 )
| ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3034]) ).
thf(3325,plain,
! [SV302: set_set_set_a,SV609: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV609 @ SV302 )
= $false )
| ( ( SV302 = SV609 )
= $true )
| ( ( ord_le2103863998_set_a @ SV302 @ SV609 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3326,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3327,plain,
! [SV305: set_a,SV611: a > a > e,SV838: set_a_e] :
( ( ( ~ ( member_a @ ( sK43_SY2463 @ SV838 @ SV611 @ SV305 ) @ SV305 )
| ( member_a_e @ ( SV611 @ ( sK43_SY2463 @ SV838 @ SV611 @ SV305 ) ) @ SV838 ) )
= $false )
| ( ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SV838 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3040]) ).
thf(3328,plain,
! [SV939: set_set_set_a,SV839: set_set_a > set_set_set_a,SV612: set_set_a,SV306: set_set_a] :
( ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false )
| ( ( ( ( SV839 @ SV612 )
!= SV939 )
| ~ ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) )
| ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3329,plain,
! [SV940: a > e,SV840: ( a > e ) > $o,SV613: set_a,SV307: set_a > $o] :
( ( ( SV307 @ SV613 )
= $false )
| ( ( ~ ( SV840 @ SV940 )
| ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
| ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3330,plain,
! [SV309: set_a,SV615: a > set_a,SV842: set_set_a] :
( ( ( ~ ( member_a @ ( sK44_SY2468 @ SV842 @ SV615 @ SV309 ) @ SV309 )
| ( member_set_a @ ( SV615 @ ( sK44_SY2468 @ SV842 @ SV615 @ SV309 ) ) @ SV842 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SV842 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3044]) ).
thf(3331,plain,
! [SV310: $o > set_a,SV616: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV616 @ SV310 )
= $false )
| ( ( SV310 = SV616 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3332,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ( ! [SY2564: a > e] :
( ( SV312
!= ( produc479206876_set_a @ SY2564 @ ( sK45_SY2260 @ SV618 @ SV312 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK45_SY2260 @ SV618 @ SV312 ) @ SY2564 ) @ SV618 ) ) )
= $false )
| ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3047]) ).
thf(3333,plain,
! [SV620: set_a,SV845: set_a,SV314: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV314 @ SV845 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV620 @ SV845 )
= $true )
| ( ( SV314 = SV620 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3049]) ).
thf(3334,plain,
! [SV315: $o > set_a,SV621: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV621 @ SV315 )
= $false )
| ( ( SV315 = SV621 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3335,plain,
! [SV954: ( a > e ) > a > e,SV941: set_a > set_a,SV846: set_Pr204296108_a_a_e,SV622: a > e,SV316: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV316 @ SV622 ) @ SV846 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SV941 @ SV316 ) @ ( SV954 @ SV622 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV941 @ SV954 ) @ SV846 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3051]) ).
thf(3336,plain,
! [SV317: set_Pr204296108_a_a_e,SV623: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV623 @ SV317 )
= $false )
| ( ( SV317 = SV623 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV317 @ SV623 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3052]) ).
thf(3337,plain,
! [SV624: a > $o,SV318: a > $o] :
( ( ( ~ ( SV318 @ ( sK19_SY2267 @ SV624 @ SV318 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SV624 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3338,plain,
! [SV318: a > $o,SV624: a > $o] :
( ( ( SV624 @ ( sK19_SY2267 @ SV624 @ SV318 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SV624 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3339,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV626 @ SV320 ) )
= $true )
| ( ( ~ ! [SY2269: set_a] :
~ ~ ( ~ ( member_set_a @ SY2269 @ SV320 )
| ~ ~ ( member_set_a @ SY2269 @ SV626 ) ) )
= $true )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3055]) ).
thf(3340,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2471: set_a] :
~ ~ ( ~ ( member_set_a @ SY2471 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SV848 @ SY2471 ) ) )
= $true )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3056]) ).
thf(3341,plain,
! [SV322: set_Pr204296108_a_a_e,SV628: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV628 @ SV322 )
= $false )
| ( ( SV322 = SV628 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV322 @ SV628 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3342,plain,
! [SV629: set_set_a,SV323: set_set_a,SV849: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV849 @ SV323 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV849 @ SV629 )
= $true )
| ( ( ord_le318720350_set_a @ SV323 @ SV629 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3058]) ).
thf(3343,plain,
! [SV942: produc715398134_a_a_e,SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e] :
( ( ( ! [SY2474: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2474 @ SV324 )
| ( member_set_a @ ( SV630 @ SY2474 ) @ SV850 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 )
| ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3344,plain,
! [SV325: set_Pr204296108_a_a_e,SV631: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK20_SY2277 @ SV631 @ SV325 ) @ SV325 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV325 @ SV631 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3060]) ).
thf(3345,plain,
! [SV325: set_Pr204296108_a_a_e,SV631: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK20_SY2277 @ SV631 @ SV325 ) @ SV631 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV325 @ SV631 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3060]) ).
thf(3346,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ~ ( ( SV632 = SV943 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3061]) ).
thf(3347,plain,
! [SV633: set_a,SV327: set_a,SV852: a] :
( ( ( ~ ( member_a @ SV852 @ SV327 ) )
= $true )
| ( ( member_a @ SV852 @ SV633 )
= $true )
| ( ( ord_less_eq_set_a @ SV327 @ SV633 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3063]) ).
thf(3348,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV328 )
= ( produc317566658_a_a_e @ SV634 ) )
= $false )
| ( ( SV328 = SV634 )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV328 )
= ( produc1040928388_a_a_e @ SV634 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3349,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3065]) ).
thf(3350,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ! [SY2285: set_a] :
( ~ ( SV331 @ SY2285 )
| ( ord_less_eq_set_a @ SY2285 @ SV637 ) ) )
= $true )
| ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3067]) ).
thf(3351,plain,
! [SV944: produc715398134_a_a_e > set_a,SV856: set_a,SV638: set_Pr204296108_a_a_e,SV332: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV332 @ SV638 )
= $false )
| ( ( ( SV856
!= ( SV944 @ SV332 ) )
| ( member_set_a @ SV856 @ ( image_64240033_set_a @ SV944 @ SV638 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3352,plain,
! [SV333: set_set_a,SV639: set_a > a,SV857: set_a] :
( ( ( ~ ( member_set_a @ ( sK46_SY2480 @ SV857 @ SV639 @ SV333 ) @ SV333 )
| ( member_a @ ( SV639 @ ( sK46_SY2480 @ SV857 @ SV639 @ SV333 ) ) @ SV857 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SV857 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3069]) ).
thf(3353,plain,
! [SV640: set_a > set_set_a,SV334: set_set_set_a,SV858: set_set_a] :
( ( ( ! [SY2481: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2481 @ SV858 )
| ( SV334
!= ( image_1930509541_set_a @ SV640 @ SY2481 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3070]) ).
thf(3354,plain,
! [SV335: set_a_e,SV641: ( a > e ) > a,SV859: set_a] :
( ( ( ~ ( member_a_e @ ( sK47_SY2482 @ SV859 @ SV641 @ SV335 ) @ SV335 )
| ( member_a @ ( SV641 @ ( sK47_SY2482 @ SV859 @ SV641 @ SV335 ) ) @ SV859 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SV859 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3071]) ).
thf(3355,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3356,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3357,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3074]) ).
thf(3358,plain,
! [SV863: $o > set_a,SV645: $o > set_a,SV339: $o > set_a] :
( ( ( ! [SV962: $o] :
( ( SV339 @ SV962 )
= ( SV645 @ SV962 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 )
| ( ord_less_eq_o_set_a @ SV339 @ SV863 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3075]) ).
thf(3359,plain,
! [SV863: $o > set_a,SV645: $o > set_a,SV339: $o > set_a] :
( ( ( SV339 = SV645 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 )
| ( ord_less_eq_o_set_a @ SV339 @ SV863 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3075]) ).
thf(3360,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3076]) ).
thf(3361,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3076]) ).
thf(3362,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ~ ( SV341 @ SV11 ) )
= $false )
| ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3077]) ).
thf(3363,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
| ~ ( SV341 @ SV11 ) )
= $false )
| ( ( SV341 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3364,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ~ ( SV342 @ SV12 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3079]) ).
thf(3365,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
| ~ ( SV342 @ SV12 ) )
= $false )
| ( ( SV342 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3366,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) )
= $false )
| ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3367,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3368,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3369,plain,
! [SV647: set_Pr204296108_a_a_e,SV21: a > e,SV346: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3370,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3084]) ).
thf(3371,plain,
! [SV648: set_Pr305929312_set_a,SV22: set_a,SV347: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3084]) ).
thf(3372,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3085]) ).
thf(3373,plain,
! [SV649: set_Pr204296108_a_a_e,SV25: a > e,SV350: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3085]) ).
thf(3374,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3375,plain,
! [SV650: set_Pr305929312_set_a,SV26: set_a,SV351: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3376,plain,
! [SV37: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 ) )
= $false )
| ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3087]) ).
thf(3377,plain,
! [SV37: set_a] :
( ( ( SV37 != top_top_set_a )
= $false )
| ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3087]) ).
thf(3378,plain,
! [SV37: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ top_top_set_a @ SV37 ) )
= $false )
| ( ( SV37 = top_top_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3088]) ).
thf(3379,plain,
! [SV37: set_a] :
( ( ( SV37 != top_top_set_a )
= $false )
| ( ( SV37 = top_top_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3088]) ).
thf(3380,plain,
! [SV358: set_a] :
( ( ( ~ ( top_top_set_a_o @ SV358 )
| ~ ( member_set_a @ SV358 @ top_top_set_set_a ) )
= $false )
| ( ( top_top_set_a_o @ SV358 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3381,plain,
! [SV358: set_a] :
( ( ( ~ ( top_top_set_a_o @ SV358 )
| ~ ( member_set_a @ SV358 @ top_top_set_set_a ) )
= $false )
| ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3382,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ~ ( top_to2000253225_a_e_o @ SV359 )
| ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
= $false )
| ( ( top_to2000253225_a_e_o @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3091]) ).
thf(3383,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ~ ( top_to2000253225_a_e_o @ SV359 )
| ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
= $false )
| ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3384,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ~ ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
| ~ ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3095]) ).
thf(3385,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3095]) ).
thf(3386,plain,
! [SV657: set_a,SV48: set_set_a,SV363: a > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK48_SY2308 @ SV363 @ SV48 @ SV657 ) @ SV657 )
| ( SV48
!= ( image_a_set_a @ SV363 @ ( sK48_SY2308 @ SV363 @ SV48 @ SV657 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3096]) ).
thf(3387,plain,
! [SV365: set_set_a,SV50: set_set_a,SV659: set_a] :
( ( ( ~ ~ ( member_set_a @ SV659 @ SV50 ) )
= $true )
| ( ( ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3097]) ).
thf(3388,plain,
! [SV365: set_set_a,SV50: set_set_a,SV659: set_a] :
( ( ( ~ ~ ( member_set_a @ SV659 @ SV50 ) )
= $true )
| ( ( ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV365 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3098]) ).
thf(3389,plain,
! [SV660: set_set_set_a,SV51: set_set_a,SV366: set_set_a > set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK49_SY2309 @ SV366 @ SV51 @ SV660 ) @ SV660 )
| ( SV51
!= ( image_402591269_set_a @ SV366 @ ( sK49_SY2309 @ SV366 @ SV51 @ SV660 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3099]) ).
thf(3390,plain,
! [SV367: a > e,SV52: set_a,SV869: set_a > ( a > e ) > $o,SV661: set_Pr305929312_set_a] :
( ( ( ~ ! [SY2489: a > e,SY2490: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2489 @ SY2490 ) @ SV661 )
| ( SV869 @ SY2490 @ SY2489 ) ) )
= $true )
| ( ( SV869 @ SV52 @ SV367 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3100]) ).
thf(3391,plain,
! [SV53: set_a,SV662: set_a > $o,SV368: set_Pr204296108_a_a_e] :
( ( ( ! [SY2313: set_a,SY2314: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2313 @ SY2314 ) @ SV368 )
| ( SV662 @ SY2313 ) ) )
= $false )
| ( ( SV662 @ SV53 )
= $true )
| ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3101]) ).
thf(3392,plain,
! [SV369: set_a > produc715398134_a_a_e,SV54: produc715398134_a_a_e,SV870: set_set_a,SV663: set_a] :
( ( ( ~ ( member_set_a @ SV663 @ SV870 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SV369 @ SV870 ) )
= $true )
| ( ( SV54
= ( SV369 @ SV663 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3102]) ).
thf(3393,plain,
! [SV664: set_Pr204296108_a_a_e,SV55: set_set_a,SV370: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK50_SY2316 @ SV370 @ SV55 @ SV664 ) @ SV664 )
| ( SV55
!= ( image_64240033_set_a @ SV370 @ ( sK50_SY2316 @ SV370 @ SV55 @ SV664 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3103]) ).
thf(3394,plain,
! [SV56: set_a] :
( ( ( ord_less_eq_set_a @ a2 @ SV56 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ a3 @ SV56 )
| thesis )
= $true )
| ( ( ord_less_eq_set_a @ a1 @ SV56 )
= $false )
| ( ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3395,plain,
! [SV58: set_set_a,SV665: set_set_a,SV371: set_set_a] :
( ( ( ord_le318720350_set_a @ SV371 @ SV665 )
= $false )
| ( ( ord_le318720350_set_a @ SV58 @ SV665 )
= $true )
| ( ( ord_le318720350_set_a @ SV58 @ SV371 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3396,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ( ( SV59
!= ( produc1134456688_a_a_e @ ( sK51_SY2561 @ SV372 @ SV59 ) @ ( sK21_SY1878 @ SV372 @ SV59 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK21_SY1878 @ SV372 @ SV59 ) @ ( sK51_SY2561 @ SV372 @ SV59 ) ) @ SV372 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3106]) ).
thf(3397,plain,
! [SV60: set_set_set_a,SV666: set_set_set_a,SV373: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV373 @ SV666 )
= $false )
| ( ( ord_le2103863998_set_a @ SV60 @ SV666 )
= $true )
| ( ( ord_le2103863998_set_a @ SV60 @ SV373 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3398,plain,
! [SV61: set_a,SV871: $o > set_a,SV374: set_a,SV667: set_a > $o > set_a] :
( ( ( ( SV667 @ SV374 )
!= SV871 )
= $true )
| ( ( ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3108]) ).
thf(3399,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 = SV872 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3111]) ).
thf(3400,plain,
! [SV65: set_Pr204296108_a_a_e,SV378: produc715398134_a_a_e > a,SV669: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK22_SY2320 @ SV669 @ SV378 @ SV65 ) @ SV65 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SV669 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3401,plain,
! [SV65: set_Pr204296108_a_a_e,SV669: set_a,SV378: produc715398134_a_a_e > a] :
( ( ( member_a @ ( SV378 @ ( sK22_SY2320 @ SV669 @ SV378 @ SV65 ) ) @ SV669 )
= $false )
| ( ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SV669 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3402,plain,
! [SV66: set_a,SV873: set_set_set_a,SV379: set_a,SV670: set_a > set_set_set_a] :
( ( ( ( SV670 @ SV379 )
!= SV873 )
= $true )
| ( ( ~ ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) )
| ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3113]) ).
thf(3403,plain,
! [SV380: set_a,SV67: set_a] :
( ( ( ord_less_eq_set_a @ SV67 @ SV380 )
= $true )
| ( ( SV67 = SV380 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3114]) ).
thf(3404,plain,
! [SV67: set_a,SV380: set_a] :
( ( ( ord_less_eq_set_a @ SV380 @ SV67 )
= $true )
| ( ( SV67 = SV380 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3115]) ).
thf(3405,plain,
! [SV68: $o > set_a,SV671: $o > set_a,SV381: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV381 @ SV671 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV68 @ SV671 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV68 @ SV381 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3116]) ).
thf(3406,plain,
! [SV69: set_Pr204296108_a_a_e,SV382: produc715398134_a_a_e > produc715398134_a_a_e,SV672: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK23_SY2324 @ SV672 @ SV382 @ SV69 ) @ SV69 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SV672 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3117]) ).
thf(3407,plain,
! [SV69: set_Pr204296108_a_a_e,SV672: set_Pr204296108_a_a_e,SV382: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( SV382 @ ( sK23_SY2324 @ SV672 @ SV382 @ SV69 ) ) @ SV672 )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SV672 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3117]) ).
thf(3408,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3409,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3410,plain,
! [SV385: set_Pr204296108_a_a_e,SV72: set_Pr204296108_a_a_e,SV675: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV675 @ SV72 )
= $false )
| ( ( member1258382221_a_a_e @ SV675 @ SV385 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV72 @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3411,plain,
! [SV74: set_a,SV874: set_a,SV387: set_a,SV676: set_a > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 ) )
= $true )
| ( ( ~ ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) )
| ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3120]) ).
thf(3412,plain,
! [SV75: set_a,SV677: set_a,SV388: set_a] :
( ( ( ord_less_eq_set_a @ SV388 @ SV677 )
= $false )
| ( ( ord_less_eq_set_a @ SV75 @ SV677 )
= $true )
| ( ( ord_less_eq_set_a @ SV75 @ SV388 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3413,plain,
! [SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ( SV678 @ SV389 )
!= SV875 )
= $true )
| ( ( ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3122]) ).
thf(3414,plain,
! [SV390: set_a,SV679: a > e,SV963: a,SV77: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV77 @ SV963 )
= ( SV679 @ SV963 ) )
= $true )
| ( ( SV77
= ( produc1134456688_a_a_e @ SV390 @ SV679 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3123]) ).
thf(3415,plain,
! [SV79: set_Pr204296108_a_a_e,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV876: $o > set_a,SV681: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV681 @ SV876 ) )
= $true )
| ( ( ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) ) )
= $true )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3125]) ).
thf(3416,plain,
! [SV80: set_set_a,SV393: set_a > set_a,SV682: set_set_a,SV877: set_a] :
( ( ( ~ ( member_set_a @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) @ SV80 )
| ( member_set_a @ ( SV393 @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) ) @ SV682 ) )
= $false )
| ( ( ~ ( member_set_a @ SV877 @ SV80 )
| ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3126]) ).
thf(3417,plain,
! [SV81: set_a,SV394: set_a > set_a,SV878: set_a,SV683: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV683 @ SV878 ) )
= $true )
| ( ( ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3127]) ).
thf(3418,plain,
! [SV83: set_Pr204296108_a_a_e,SV684: set_Pr204296108_a_a_e,SV396: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV396 @ SV684 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV83 @ SV684 )
= $true )
| ( ( SV83 = SV396 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3129]) ).
thf(3419,plain,
! [SV85: set_set_set_a,SV686: set_set_set_a,SV398: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV398 @ SV686 )
= $false )
| ( ( ord_le2103863998_set_a @ SV85 @ SV686 )
= $true )
| ( ( ord_le2103863998_set_a @ SV85 @ SV398 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3130]) ).
thf(3420,plain,
! [SV687: set_a,SV86: set_a,SV399: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK53_SY2341 @ SV399 @ SV86 @ SV687 ) @ SV687 )
| ( SV86
!= ( image_a_a @ SV399 @ ( sK53_SY2341 @ SV399 @ SV86 @ SV687 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3131]) ).
thf(3421,plain,
! [SV879: a > e,SV400: a > e,SV688: set_a,SV87: set_a] :
( ( ( ( SV87 != SV688 )
| ( SV400 != SV879 ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3132]) ).
thf(3422,plain,
! [SV88: set_set_a,SV401: set_set_a] :
( ( ( member_set_a @ ( sK10_SY1930 @ SV401 @ SV88 ) @ SV88 )
= $true )
| ( ( ord_le318720350_set_a @ SV88 @ SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3133]) ).
thf(3423,plain,
! [SV89: set_set_a,SV402: set_a > produc715398134_a_a_e,SV689: set_Pr204296108_a_a_e,SV880: set_a] :
( ( ( ~ ( member_set_a @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) ) @ SV689 ) )
= $false )
| ( ( ~ ( member_set_a @ SV880 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3135]) ).
thf(3424,plain,
! [SV403: produc715398134_a_a_e > produc715398134_a_a_e,SV90: produc715398134_a_a_e,SV881: set_Pr204296108_a_a_e,SV690: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV690 @ SV881 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SV403 @ SV881 ) )
= $true )
| ( ( SV90
= ( SV403 @ SV690 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3136]) ).
thf(3425,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3137]) ).
thf(3426,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e] :
( ( ( ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3137]) ).
thf(3427,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ( SV406 = SV882 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $false )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3138]) ).
thf(3428,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3429,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a] :
( ( ( ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3430,plain,
! [SV948: set_set_a > set_a,SV883: produc715398134_a_a_e > set_a,SV695: produc715398134_a_a_e > set_a,SV408: set_Pr204296108_a_a_e,SV95: set_Pr204296108_a_a_e] :
( ( ( SV95 = SV408 )
= $false )
| ( ( ~ ! [SY2506: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2506 @ SV408 )
| ( ( SV695 @ SY2506 )
= ( SV883 @ SY2506 ) ) )
| ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3140]) ).
thf(3431,plain,
! [SV409: set_a,SV96: set_a,SV696: set_a] :
( ( ( ord_less_eq_set_a @ SV696 @ SV96 )
= $false )
| ( ( ord_less_eq_set_a @ SV696 @ SV409 )
= $true )
| ( ( SV96 = SV409 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3141]) ).
thf(3432,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3433,plain,
! [SV100: set_set_set_a,SV698: set_set_set_a,SV412: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV412 @ SV698 )
= $false )
| ( ( ord_le2103863998_set_a @ SV100 @ SV698 )
= $true )
| ( ( SV100 = SV412 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3434,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3145]) ).
thf(3435,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e] :
( ( ( ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3145]) ).
thf(3436,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV104 )
= ( produc1040928388_a_a_e @ SV416 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV104 )
!= ( produc317566658_a_a_e @ SV416 ) )
= $true )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3146]) ).
thf(3437,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 = SV105 ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 != SV105 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3438,plain,
! [SV106: a > e,SV701: ( a > e ) > $o,SV418: set_Pr204296108_a_a_e] :
( ( ( ! [SY2352: set_a,SY2353: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2352 @ SY2353 ) @ SV418 )
| ( SV701 @ SY2353 ) ) )
= $false )
| ( ( SV701 @ SV106 )
= $true )
| ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3148]) ).
thf(3439,plain,
! [SV108: set_Pr204296108_a_a_e,SV702: set_Pr204296108_a_a_e,SV420: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV420 @ SV702 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV108 @ SV702 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV108 @ SV420 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3440,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ( SV421 = SV885 )
| ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $false )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3441,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3151]) ).
thf(3442,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3151]) ).
thf(3443,plain,
! [SV959: set_Pr204296108_a_a_e,SV949: produc715398134_a_a_e > a > e,SV886: a > e,SV706: produc715398134_a_a_e,SV424: produc715398134_a_a_e > set_a,SV112: set_a] :
( ( ( SV112
!= ( SV424 @ SV706 ) )
= $true )
| ( ( ( SV886
!= ( SV949 @ SV706 ) )
| ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3152]) ).
thf(3444,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3445,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3446,plain,
! [SV426: set_a,SV114: a > e,SV887: ( a > e ) > set_a > $o,SV708: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2509: set_a,SY2510: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2509 @ SY2510 ) @ SV708 )
| ( SV887 @ SY2510 @ SY2509 ) ) )
= $true )
| ( ( SV887 @ SV114 @ SV426 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3154]) ).
thf(3447,plain,
! [SV115: set_a,SV427: a > a,SV709: set_a] :
( ( ( ~ ( member_a @ ( sK24_SY2363 @ SV709 @ SV427 @ SV115 ) @ SV115 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SV709 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3448,plain,
! [SV115: set_a,SV709: set_a,SV427: a > a] :
( ( ( member_a @ ( SV427 @ ( sK24_SY2363 @ SV709 @ SV427 @ SV115 ) ) @ SV709 )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SV709 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3449,plain,
! [SV117: set_set_a,SV888: set_set_a,SV429: set_set_a,SV710: set_set_a > set_set_a] :
( ( ( ( SV710 @ SV429 )
!= SV888 )
= $true )
| ( ( ~ ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) )
| ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3156]) ).
thf(3450,plain,
! [SV430: set_set_set_a,SV118: set_set_set_a,SV711: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV711 @ SV118 )
= $false )
| ( ( ord_le2103863998_set_a @ SV711 @ SV430 )
= $true )
| ( ( ord_le2103863998_set_a @ SV118 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3157]) ).
thf(3451,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( SV432 = SV889 )
| ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3159]) ).
thf(3452,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3453,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3454,plain,
! [SV122: $o > set_a,SV434: $o > set_a] :
( ( ( ! [SV964: $o] :
( ( SV434 @ SV964 )
= ( SV122 @ SV964 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV434 @ SV122 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3161]) ).
thf(3455,plain,
! [SV122: $o > set_a,SV434: $o > set_a] :
( ( ( SV434 = SV122 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV434 @ SV122 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3161]) ).
thf(3456,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3162]) ).
thf(3457,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a] :
( ( ( ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3162]) ).
thf(3458,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ( ord_less_eq_set_a @ SV437 @ SV890 )
| ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3163]) ).
thf(3459,plain,
! [SV891: set_set_a,SV717: set_a,SV438: set_a > a > e,SV126: a > e] :
( ( ( ! [SV965: a] :
( ( SV126 @ SV965 )
= ( SV438 @ SV717 @ SV965 ) ) )
= $false )
| ( ( ~ ( member_set_a @ SV717 @ SV891 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3164]) ).
thf(3460,plain,
! [SV891: set_set_a,SV717: set_a,SV438: set_a > a > e,SV126: a > e] :
( ( ( SV126
= ( SV438 @ SV717 ) )
= $false )
| ( ( ~ ( member_set_a @ SV717 @ SV891 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3164]) ).
thf(3461,plain,
! [SV129: set_a,SV718: set_a,SV441: set_a] :
( ( ( ord_less_eq_set_a @ SV441 @ SV718 )
= $false )
| ( ( ord_less_eq_set_a @ SV129 @ SV718 )
= $true )
| ( ( ord_less_eq_set_a @ SV129 @ SV441 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3166]) ).
thf(3462,plain,
! [SV442: set_a,SV130: set_a,SV719: a] :
( ( ( ~ ~ ( member_a @ SV719 @ SV130 ) )
= $true )
| ( ( ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3167]) ).
thf(3463,plain,
! [SV442: set_a,SV130: set_a,SV719: a] :
( ( ( ~ ~ ( member_a @ SV719 @ SV130 ) )
= $true )
| ( ( ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV442 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3168]) ).
thf(3464,plain,
! [SV443: $o > set_a,SV131: $o > set_a,SV720: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV720 @ SV131 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV720 @ SV443 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV131 @ SV443 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3169]) ).
thf(3465,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3466,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3171]) ).
thf(3467,plain,
! [SV721: set_set_a,SV133: set_set_a,SV445: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK55_SY2371 @ SV445 @ SV133 @ SV721 ) @ SV721 )
| ( SV133
!= ( image_set_a_set_a @ SV445 @ ( sK55_SY2371 @ SV445 @ SV133 @ SV721 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3172]) ).
thf(3468,plain,
! [SV722: a > e,SV447: a > e,SV135: set_a] :
( ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) )
= ( SV722 @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) ) )
= $false )
| ( ( SV447 = SV722 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3174]) ).
thf(3469,plain,
! [SV135: set_a,SV722: a > e,SV447: a > e] :
( ( ( ! [SV966: a] :
( ( SV447 @ SV966 )
= ( SV722 @ SV966 ) ) )
= $true )
| ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
= SV722 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3175]) ).
thf(3470,plain,
! [SV135: set_a,SV722: a > e,SV447: a > e] :
( ( ( SV447 = SV722 )
= $true )
| ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
= SV722 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3175]) ).
thf(3471,plain,
! [SV448: produc715398134_a_a_e > set_a,SV136: set_a,SV892: set_Pr204296108_a_a_e,SV723: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV723 @ SV892 ) )
= $true )
| ( ( member_set_a @ SV136 @ ( image_64240033_set_a @ SV448 @ SV892 ) )
= $true )
| ( ( SV136
= ( SV448 @ SV723 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3176]) ).
thf(3472,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( ~ ~ ( ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV137 )
| ~ ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV449 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3177]) ).
thf(3473,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 = SV138 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3474,plain,
! [SV139: set_set_set_a,SV724: set_set_set_a,SV451: set_set_set_a] :
( ( ( SV451 = SV724 )
= $false )
| ( ( ord_le2103863998_set_a @ SV139 @ SV724 )
= $true )
| ( ( ord_le2103863998_set_a @ SV139 @ SV451 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3475,plain,
! [SV140: $o > set_a,SV725: $o > set_a,SV452: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV452 @ SV725 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV140 @ SV725 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV140 @ SV452 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3476,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ( SV453 = SV893 )
| ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $false )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3477,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3182]) ).
thf(3478,plain,
! [SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $true )
| ( ( ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3183]) ).
thf(3479,plain,
! [SV727: set_set_set_a,SV143: set_a,SV455: set_set_a > a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK58_SY2373 @ SV455 @ SV143 @ SV727 ) @ SV727 )
| ( SV143
!= ( image_set_set_a_a @ SV455 @ ( sK58_SY2373 @ SV455 @ SV143 @ SV727 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3184]) ).
thf(3480,plain,
! [SV144: set_Pr204296108_a_a_e,SV456: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK12_SY2010 @ SV456 @ SV144 ) @ ( sK26_SY2554 @ SV144 @ SV456 ) ) @ SV144 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV144 @ SV456 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3185]) ).
thf(3481,plain,
! [SV144: set_Pr204296108_a_a_e,SV456: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK12_SY2010 @ SV456 @ SV144 ) @ ( sK26_SY2554 @ SV144 @ SV456 ) ) @ SV456 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV144 @ SV456 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3185]) ).
thf(3482,plain,
! [SV149: set_set_a,SV731: set_set_a,SV461: set_set_a] :
( ( ( ord_le318720350_set_a @ SV461 @ SV731 )
= $false )
| ( ( ord_le318720350_set_a @ SV149 @ SV731 )
= $true )
| ( ( ord_le318720350_set_a @ SV149 @ SV461 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3483,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV462 @ SV894 )
| ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3188]) ).
thf(3484,plain,
! [SV465: ( a > e ) > a,SV153: a,SV895: set_a_e,SV734: a > e] :
( ( ( ~ ( member_a_e @ SV734 @ SV895 ) )
= $true )
| ( ( member_a @ SV153 @ ( image_a_e_a @ SV465 @ SV895 ) )
= $true )
| ( ( SV153
= ( SV465 @ SV734 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3189]) ).
thf(3485,plain,
! [SV154: set_set_a,SV466: set_a > set_a,SV735: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK27_SY2376 @ SV735 @ SV466 @ SV154 ) @ SV154 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SV735 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3190]) ).
thf(3486,plain,
! [SV154: set_set_a,SV735: set_set_a,SV466: set_a > set_a] :
( ( ( member_set_a @ ( SV466 @ ( sK27_SY2376 @ SV735 @ SV466 @ SV154 ) ) @ SV735 )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SV735 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3190]) ).
thf(3487,plain,
! [SV896: set_Pr204296108_a_a_e,SV736: ( a > e ) > a > e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ( ! [SY2515: set_a,SY2516: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ SY2515 ) @ ( SV736 @ SY2516 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2515 @ SY2516 ) @ SV896 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3191]) ).
thf(3488,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 = SV156 ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 != SV156 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3192]) ).
thf(3489,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( ~ ! [SY2029: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2029 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY2029 @ SV471 ) ) )
= $true )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3193]) ).
thf(3490,plain,
! [SV739: set_a,SV160: set_set_set_a,SV472: a > set_set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK59_SY2380 @ SV472 @ SV160 @ SV739 ) @ SV739 )
| ( SV160
!= ( image_a_set_set_a @ SV472 @ ( sK59_SY2380 @ SV472 @ SV160 @ SV739 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3194]) ).
thf(3491,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3492,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3196]) ).
thf(3493,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ( SV474 = SV897 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $false )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3197]) ).
thf(3494,plain,
! [SV476: set_Pr204296108_a_a_e,SV164: set_Pr204296108_a_a_e,SV741: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV741 @ SV164 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV741 @ SV476 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV164 @ SV476 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3495,plain,
! [SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV742: set_a_e,SV477: set_Pr204296108_a_a_e,SV165: set_set_a] :
( ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false )
| ( ( ( SV742
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
| ~ ! [SY2555: set_a] :
( ~ ( member_set_a @ SY2555 @ SV165 )
| ! [SY2556: a > e] :
( ~ ( member_a_e @ SY2556 @ SV742 )
| ~ ( SV898 @ SY2555 @ SY2556 )
| ( SV951 @ SY2555 @ SY2556 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3496,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 = SV166 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 != SV166 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3497,plain,
! [SV169: set_a,SV899: set_set_a,SV481: set_a,SV744: set_a > set_set_a] :
( ( ( ( SV744 @ SV481 )
!= SV899 )
= $true )
| ( ( ~ ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) )
| ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3202]) ).
thf(3498,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ( ord_le318720350_set_a @ SV483 @ SV900 )
| ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3204]) ).
thf(3499,plain,
! [SV173: set_Pr204296108_a_a_e,SV485: produc715398134_a_a_e > set_a,SV747: set_set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK28_SY2389 @ SV747 @ SV485 @ SV173 ) @ SV173 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SV747 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3205]) ).
thf(3500,plain,
! [SV173: set_Pr204296108_a_a_e,SV747: set_set_a,SV485: produc715398134_a_a_e > set_a] :
( ( ( member_set_a @ ( SV485 @ ( sK28_SY2389 @ SV747 @ SV485 @ SV173 ) ) @ SV747 )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SV747 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3205]) ).
thf(3501,plain,
! [SV174: set_set_a,SV748: set_set_a,SV486: set_set_a] :
( ( ( SV486 = SV748 )
= $false )
| ( ( ord_le318720350_set_a @ SV174 @ SV748 )
= $true )
| ( ( ord_le318720350_set_a @ SV174 @ SV486 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3206]) ).
thf(3502,plain,
! [SV487: set_a > a,SV175: a,SV901: set_set_a,SV749: set_a] :
( ( ( ~ ( member_set_a @ SV749 @ SV901 ) )
= $true )
| ( ( member_a @ SV175 @ ( image_set_a_a @ SV487 @ SV901 ) )
= $true )
| ( ( SV175
= ( SV487 @ SV749 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3207]) ).
thf(3503,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( ~ ~ ( ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV176 )
| ~ ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV488 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3208]) ).
thf(3504,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3505,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
| ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3210]) ).
thf(3506,plain,
! [SV178: produc715398134_a_a_e > set_a,SV490: set_a] :
( ( ( SV490
= ( SV178 @ ( sK29_SY2057 @ SV178 @ SV490 ) ) )
= $true )
| ( ( ( image_64240033_set_a @ SV178 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3211]) ).
thf(3507,plain,
! [SV179: set_a,SV750: set_a,SV491: set_a] :
( ( ( ord_less_eq_set_a @ SV491 @ SV750 )
= $false )
| ( ( ord_less_eq_set_a @ SV179 @ SV750 )
= $true )
| ( ( SV179 = SV491 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3508,plain,
! [SV492: set_a,SV180: set_a,SV751: set_a] :
( ( ( ord_less_eq_set_a @ SV751 @ SV180 )
= $false )
| ( ( ord_less_eq_set_a @ SV751 @ SV492 )
= $true )
| ( ( ord_less_eq_set_a @ SV180 @ SV492 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3509,plain,
! [SV183: set_a,SV495: set_a] :
( ( ( member_a @ ( sK13_SY2061 @ SV495 @ SV183 ) @ SV183 )
= $true )
| ( ( ord_less_eq_set_a @ SV183 @ SV495 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3215]) ).
thf(3510,plain,
! [SV184: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV753: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) ) @ SV753 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3217]) ).
thf(3511,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3218]) ).
thf(3512,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3218]) ).
thf(3513,plain,
! [SV186: set_set_a,SV498: ( $o > set_a ) > set_set_a,SV903: $o > set_a,SV755: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV755 @ SV903 ) )
= $true )
| ( ( ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) ) )
= $true )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3219]) ).
thf(3514,plain,
! [SV187: set_Pr204296108_a_a_e,SV756: set_Pr204296108_a_a_e,SV499: set_Pr204296108_a_a_e] :
( ( ( SV499 = SV756 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV187 @ SV756 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV187 @ SV499 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3220]) ).
thf(3515,plain,
! [SV757: set_Pr204296108_a_a_e,SV188: set_a,SV500: a > e,SV904: a > e] :
( ( ( SV904 != SV500 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3221]) ).
thf(3516,plain,
! [SV189: set_Pr204296108_a_a_e,SV758: set_Pr204296108_a_a_e,SV501: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV501 @ SV758 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV189 @ SV758 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV189 @ SV501 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3222]) ).
thf(3517,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV502 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3223]) ).
thf(3518,plain,
! [SV192: set_Pr204296108_a_a_e,SV905: produc715398134_a_a_e > set_a,SV760: produc715398134_a_a_e > set_a,SV504: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2526: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2526 @ SV504 )
| ( ( SV760 @ SY2526 )
= ( SV905 @ SY2526 ) ) ) )
= $true )
| ( ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) )
= $true )
| ( ( SV192 = SV504 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3224]) ).
thf(3519,plain,
! [SV193: $o > set_a,SV761: $o > set_a,SV505: $o > set_a] :
( ( ( SV505 = SV761 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV761 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV505 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3225]) ).
thf(3520,plain,
! [SV506: set_Pr204296108_a_a_e,SV194: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV194 @ ( sK30_SY2081 @ SV506 @ SV194 ) ) @ SV506 )
= $true )
| ( ( member_set_a @ SV194 @ ( domain_set_a_a_e @ SV506 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3226]) ).
thf(3521,plain,
! [SV508: set_set_a,SV196: set_set_a,SV763: set_a] :
( ( ( member_set_a @ SV763 @ SV196 )
= $false )
| ( ( member_set_a @ SV763 @ SV508 )
= $true )
| ( ( ord_le318720350_set_a @ SV196 @ SV508 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3522,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3228]) ).
thf(3523,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3228]) ).
thf(3524,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3230]) ).
thf(3525,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3230]) ).
thf(3526,plain,
! [SV201: set_a,SV767: set_a,SV513: set_a] :
( ( ( ord_less_eq_set_a @ SV513 @ SV767 )
= $false )
| ( ( ord_less_eq_set_a @ SV201 @ SV767 )
= $true )
| ( ( ord_less_eq_set_a @ SV201 @ SV513 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3527,plain,
! [SV514: set_a,SV202: set_a,SV768: a] :
( ( ( member_a @ SV768 @ SV202 )
= $false )
| ( ( member_a @ SV768 @ SV514 )
= $true )
| ( ( ord_less_eq_set_a @ SV202 @ SV514 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3528,plain,
! [SV203: produc715398134_a_a_e > set_a,SV515: set_Pr204296108_a_a_e,SV769: set_a > $o] :
( ( ( ~ ( member_set_a @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) @ ( image_64240033_set_a @ SV203 @ SV515 ) ) )
= $false )
| ( ( ! [SY2404: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2404 @ SV515 )
| ( SV769 @ ( SV203 @ SY2404 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3233]) ).
thf(3529,plain,
! [SV203: produc715398134_a_a_e > set_a,SV515: set_Pr204296108_a_a_e,SV769: set_a > $o] :
( ( ( SV769 @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) )
= $false )
| ( ( ! [SY2404: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2404 @ SV515 )
| ( SV769 @ ( SV203 @ SY2404 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3233]) ).
thf(3530,plain,
! [SV516: set_set_a,SV204: set_set_a,SV770: set_a] :
( ( ( ~ ( member_set_a @ SV770 @ SV204 ) )
= $true )
| ( ( ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV204 @ SV516 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3234]) ).
thf(3531,plain,
! [SV516: set_set_a,SV204: set_set_a,SV770: set_a] :
( ( ( ~ ( member_set_a @ SV770 @ SV204 ) )
= $true )
| ( ( ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3235]) ).
thf(3532,plain,
! [SV206: set_set_set_a,SV906: set_a,SV518: set_set_set_a,SV771: set_set_set_a > set_a] :
( ( ( ( SV771 @ SV518 )
!= SV906 )
= $true )
| ( ( ~ ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) )
| ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3237]) ).
thf(3533,plain,
! [SV519: a > set_a,SV207: set_a,SV907: set_a,SV772: a] :
( ( ( ~ ( member_a @ SV772 @ SV907 ) )
= $true )
| ( ( member_set_a @ SV207 @ ( image_a_set_a @ SV519 @ SV907 ) )
= $true )
| ( ( SV207
= ( SV519 @ SV772 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3238]) ).
thf(3534,plain,
! [SV773: set_set_a,SV209: set_a,SV521: set_a > a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK64_SY2409 @ SV521 @ SV209 @ SV773 ) @ SV773 )
| ( SV209
!= ( image_set_a_a @ SV521 @ ( sK64_SY2409 @ SV521 @ SV209 @ SV773 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3239]) ).
thf(3535,plain,
! [SV522: set_Pr204296108_a_a_e,SV210: set_Pr204296108_a_a_e,SV774: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV774 @ SV210 )
= $false )
| ( ( member1258382221_a_a_e @ SV774 @ SV522 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV210 @ SV522 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3536,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( ~ ! [SY2109: a] :
~ ~ ( ~ ( member_a @ SY2109 @ SV211 )
| ~ ~ ( member_a @ SY2109 @ SV523 ) ) )
= $true )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3537,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3538,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ( SV526 = SV909 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $false )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3539,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ! [SV967: a] :
( ( SV216 @ SV967 )
= ( produc317566658_a_a_e @ SV528 @ SV967 ) ) )
= $false )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3246]) ).
thf(3540,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3246]) ).
thf(3541,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $true )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3247]) ).
thf(3542,plain,
! [SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e,SV777: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV777 @ SV217 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV777 @ SV529 )
| ( SV217 != SV529 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV217 @ SV529 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3248]) ).
thf(3543,plain,
! [SV531: set_set_a,SV219: set_set_a,SV779: set_a] :
( ( ( ~ ( member_set_a @ SV779 @ SV219 ) )
= $false )
| ( ( ~ ( member_set_a @ SV779 @ SV531 )
| ( SV219 != SV531 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV219 @ SV531 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3249]) ).
thf(3544,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ( ~ ( SV221 @ ( sK65_SY2119 @ SV533 @ SV221 ) )
| ( ord_less_eq_set_a @ ( sK65_SY2119 @ SV533 @ SV221 ) @ SV533 ) )
= $false )
| ( ( ( order_Greatest_set_a @ SV221 )
= SV533 )
= $true )
| ( ( SV221 @ SV533 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3250]) ).
thf(3545,plain,
! [SV535: set_Pr204296108_a_a_e,SV223: produc715398134_a_a_e,SV910: produc715398134_a_a_e > produc715398134_a_a_e,SV782: produc715398134_a_a_e] :
( ( ( SV782
!= ( SV910 @ SV223 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV782 @ ( image_625620211_a_a_e @ SV910 @ SV535 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV223 @ SV535 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3251]) ).
thf(3546,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3252]) ).
thf(3547,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3252]) ).
thf(3548,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ( SV537 = SV911 )
| ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $false )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3253]) ).
thf(3549,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV539 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3254]) ).
thf(3550,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ( SV540 = SV912 )
| ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $false )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3255]) ).
thf(3551,plain,
! [SV913: $o > set_a,SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a] :
( ( ( ! [SV968: $o] :
( ( SV230 @ SV968 )
= ( SV542 @ SV786 @ SV968 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3257]) ).
thf(3552,plain,
! [SV913: $o > set_a,SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a] :
( ( ( SV230
= ( SV542 @ SV786 ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3257]) ).
thf(3553,plain,
! [SV787: set_Pr204296108_a_a_e,SV231: set_a,SV543: produc715398134_a_a_e > set_a] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) @ SV787 )
| ( SV231
!= ( SV543 @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) ) ) ) )
= $false )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3258]) ).
thf(3554,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ( ord_less_eq_set_a @ SV545 @ SV914 )
| ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3259]) ).
thf(3555,plain,
! [SV546: a > a,SV234: a,SV915: set_a,SV790: a] :
( ( ( ~ ( member_a @ SV790 @ SV915 ) )
= $true )
| ( ( member_a @ SV234 @ ( image_a_a @ SV546 @ SV915 ) )
= $true )
| ( ( SV234
= ( SV546 @ SV790 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3260]) ).
thf(3556,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ( SV547 = SV916 )
| ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $false )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3261]) ).
thf(3557,plain,
! [SV236: produc715398134_a_a_e] :
( ( SV236
= ( produc1134456688_a_a_e @ ( sK4_SY1585 @ SV236 ) @ ( sK34_SY2419 @ SV236 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3262]) ).
thf(3558,plain,
! [SV237: set_a_e,SV548: set_a_e] :
( ( ( member_a_e @ ( sK16_SY2143 @ SV548 @ SV237 ) @ SV237 )
= $true )
| ( ( ord_less_eq_set_a_e @ SV237 @ SV548 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3263]) ).
thf(3559,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ( SV549 = SV917 )
| ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $false )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3265]) ).
thf(3560,plain,
( ( ~ ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
| ~ ( ord_less_eq_set_a @ a2 @ sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3266]) ).
thf(3561,plain,
! [SV239: set_Pr305929312_set_a,SV550: set_Pr305929312_set_a] :
( ( ( member360729153_set_a @ ( sK17_SY2146 @ SV550 @ SV239 ) @ SV239 )
= $true )
| ( ( ord_le802356416_set_a @ SV239 @ SV550 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3268]) ).
thf(3562,plain,
! [SV552: set_set_a,SV241: set_a,SV918: set_a > set_a,SV794: set_a] :
( ( ( SV794
!= ( SV918 @ SV241 ) )
= $true )
| ( ( member_set_a @ SV794 @ ( image_set_a_set_a @ SV918 @ SV552 ) )
= $true )
| ( ( member_set_a @ SV241 @ SV552 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3270]) ).
thf(3563,plain,
! [SV242: set_set_set_a,SV553: set_set_set_a] :
( ( ( member_set_set_a @ ( sK18_SY2150 @ SV553 @ SV242 ) @ SV242 )
= $true )
| ( ( ord_le2103863998_set_a @ SV242 @ SV553 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3271]) ).
thf(3564,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3273]) ).
thf(3565,plain,
! [SV245: set_a,SV797: set_a,SV556: set_a] :
( ( ( SV556 = SV797 )
= $false )
| ( ( ord_less_eq_set_a @ SV245 @ SV797 )
= $true )
| ( ( ord_less_eq_set_a @ SV245 @ SV556 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3566,plain,
! [SV920: produc715398134_a_a_e,SV248: produc715398134_a_a_e] :
( ( ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV248 ) @ ( produc1040928388_a_a_e @ SV920 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( produc1040928388_a_a_e @ SV920 ) @ ( produc1040928388_a_a_e @ SV248 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV920 @ c )
= $false )
| ( ( member1258382221_a_a_e @ SV248 @ c )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3275]) ).
thf(3567,plain,
! [SV249: set_a,SV921: set_a,SV559: set_a,SV800: set_a > set_a] :
( ( ( ( SV800 @ SV559 )
!= SV921 )
= $true )
| ( ( ~ ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) )
| ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3276]) ).
thf(3568,plain,
! [SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV250 ) )
= $true )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3277]) ).
thf(3569,plain,
! [SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV250 ) )
= $true )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3278]) ).
thf(3570,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3279]) ).
thf(3571,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3279]) ).
thf(3572,plain,
! [SV252: set_set_a,SV922: set_a,SV562: set_set_a,SV803: set_set_a > set_a] :
( ( ( ( SV803 @ SV562 )
!= SV922 )
= $true )
| ( ( ~ ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) )
| ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3280]) ).
thf(3573,plain,
! [SV253: set_set_set_a,SV563: ( $o > set_a ) > set_set_set_a,SV923: $o > set_a,SV804: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV804 @ SV923 ) )
= $true )
| ( ( ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) ) )
= $true )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3281]) ).
thf(3574,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 = SV255 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 != SV255 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3282]) ).
thf(3575,plain,
! [SV257: set_a > ( a > e ) > $o,SV805: a > e,SV566: set_a,SV924: produc715398134_a_a_e] :
( ( ( SV924
!= ( produc1134456688_a_a_e @ SV566 @ SV805 ) )
= $true )
| ( ( SV257 @ ( produc1040928388_a_a_e @ SV924 ) @ ( produc317566658_a_a_e @ SV924 ) )
= $true )
| ( ( SV257 @ SV566 @ SV805 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3283]) ).
thf(3576,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3284]) ).
thf(3577,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3285]) ).
thf(3578,plain,
! [SV260: produc715398134_a_a_e > set_a,SV569: set_a] :
( ( ( SV569
= ( SV260 @ ( sK35_SY2175 @ SV260 @ SV569 ) ) )
= $true )
| ( ( ( image_64240033_set_a @ SV260 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3287]) ).
thf(3579,plain,
! [SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ SV806 @ SV261 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3288]) ).
thf(3580,plain,
! [SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ SV806 @ SV261 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV570 @ SV261 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3289]) ).
thf(3581,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3290]) ).
thf(3582,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3290]) ).
thf(3583,plain,
! [SV264: set_a,SV573: set_a > set_a,SV925: set_a,SV809: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV809 @ SV925 ) )
= $true )
| ( ( ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) ) )
= $true )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3291]) ).
thf(3584,plain,
! [SV574: set_a,SV265: set_a,SV810: a] :
( ( ( ~ ( member_a @ SV810 @ SV265 ) )
= $false )
| ( ( ~ ( member_a @ SV810 @ SV574 )
| ( SV265 != SV574 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV265 @ SV574 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3292]) ).
thf(3585,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( ~ ~ ( ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV266 )
| ~ ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV575 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3293]) ).
thf(3586,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3294]) ).
thf(3587,plain,
! [SV927: set_a,SV812: a,SV577: a > a > e,SV268: a > e] :
( ( ( ! [SV969: a] :
( ( SV268 @ SV969 )
= ( SV577 @ SV812 @ SV969 ) ) )
= $false )
| ( ( ~ ( member_a @ SV812 @ SV927 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3295]) ).
thf(3588,plain,
! [SV927: set_a,SV812: a,SV577: a > a > e,SV268: a > e] :
( ( ( SV268
= ( SV577 @ SV812 ) )
= $false )
| ( ( ~ ( member_a @ SV812 @ SV927 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3295]) ).
thf(3589,plain,
! [SV269: set_a,SV578: set_a > ( a > e ) > set_set_a,SV813: produc715398134_a_a_e] :
( ( ( ! [SY2565: a > e] :
( ( SV813
!= ( produc1134456688_a_a_e @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ SY2565 ) )
| ~ ( member_set_a @ SV269 @ ( SV578 @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ SY2565 ) ) ) )
= $false )
| ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3296]) ).
thf(3590,plain,
! [SV814: set_set_set_a,SV270: set_set_set_a,SV579: set_set_a > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK70_SY2441 @ SV579 @ SV270 @ SV814 ) @ SV814 )
| ( SV270
!= ( image_1956910981_set_a @ SV579 @ ( sK70_SY2441 @ SV579 @ SV270 @ SV814 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3297]) ).
thf(3591,plain,
! [SV961: set_set_a,SV952: set_a > a > e,SV928: a > e,SV815: set_a,SV580: set_a > set_a,SV271: set_a] :
( ( ( SV271
!= ( SV580 @ SV815 ) )
= $true )
| ( ( ( SV928
!= ( SV952 @ SV815 ) )
| ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3298]) ).
thf(3592,plain,
! [SV581: produc715398134_a_a_e,SV272: ( a > e ) > set_a > $o] :
( ( ( ~ ( SV272 @ ( sK71_SY2562 @ SV581 @ SV272 ) @ ( sK36_SY1678 @ SV581 @ SV272 ) ) )
= $false )
| ( ( SV272 @ ( produc317566658_a_a_e @ SV581 ) @ ( produc1040928388_a_a_e @ SV581 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3299]) ).
thf(3593,plain,
! [SV273: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV816: produc715398134_a_a_e] :
( ( ( ! [SY2566: a > e] :
( ( SV816
!= ( produc1134456688_a_a_e @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ SY2566 ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ SY2566 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3300]) ).
thf(3594,plain,
! [SV274: a > e,SV583: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK37_SY2204 @ SV583 @ SV274 ) @ SV274 ) @ SV583 )
= $true )
| ( ( member_a_e @ SV274 @ ( range_set_a_a_e @ SV583 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3301]) ).
thf(3595,plain,
! [SV275: $o > set_a,SV929: set_a,SV584: $o > set_a,SV817: ( $o > set_a ) > set_a] :
( ( ( ( SV817 @ SV584 )
!= SV929 )
= $true )
| ( ( ~ ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) )
| ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3302]) ).
thf(3596,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( ~ ~ ( ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV276 )
| ~ ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV585 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3303]) ).
thf(3597,plain,
! [SV586: set_a,SV277: set_a,SV818: a] :
( ( ( ~ ( member_a @ SV818 @ SV277 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV277 @ SV586 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3304]) ).
thf(3598,plain,
! [SV586: set_a,SV277: set_a,SV818: a] :
( ( ( ~ ( member_a @ SV818 @ SV277 ) )
= $true )
| ( ( ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3305]) ).
thf(3599,plain,
! [SV588: set_set_a,SV279: set_a,SV930: set_a > produc715398134_a_a_e,SV819: produc715398134_a_a_e] :
( ( ( SV819
!= ( SV930 @ SV279 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV819 @ ( image_210900495_a_a_e @ SV930 @ SV588 ) )
= $true )
| ( ( member_set_a @ SV279 @ SV588 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3306]) ).
thf(3600,plain,
! [SV280: produc1965228714_set_a] :
( ( SV280
= ( produc479206876_set_a @ ( sK5_SY1699 @ SV280 ) @ ( sK38_SY2451 @ SV280 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3307]) ).
thf(3601,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 = SV931 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3308]) ).
thf(3602,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
= $false )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3309]) ).
thf(3603,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3309]) ).
thf(3604,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2563: produc715398134_a_a_e] :
( ( sK39_SY1703 @ SV282 )
!= ( SV282 @ SY2563 ) ) )
= $true )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3310]) ).
thf(3605,plain,
! [SV953: set_set_a > set_a,SV932: produc715398134_a_a_e > set_a,SV821: produc715398134_a_a_e > set_a,SV590: set_Pr204296108_a_a_e,SV283: set_Pr204296108_a_a_e] :
( ( ( SV283 = SV590 )
= $false )
| ( ( ~ ! [SY2546: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2546 @ SV590 )
| ( ( SV821 @ SY2546 )
= ( SV932 @ SY2546 ) ) )
| ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3311]) ).
thf(3606,plain,
! [SV284: set_set_a,SV591: set_a > produc715398134_a_a_e,SV822: set_Pr204296108_a_a_e] :
( ( ( ~ ( member_set_a @ ( sK40_SY2455 @ SV822 @ SV591 @ SV284 ) @ SV284 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SV822 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3312]) ).
thf(3607,plain,
! [SV284: set_set_a,SV822: set_Pr204296108_a_a_e,SV591: set_a > produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( SV591 @ ( sK40_SY2455 @ SV822 @ SV591 @ SV284 ) ) @ SV822 )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SV822 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3312]) ).
thf(3608,plain,
! [SV592: set_set_a,SV285: set_set_a,SV823: set_a] :
( ( ( member_set_a @ SV823 @ SV285 )
= $false )
| ( ( member_set_a @ SV823 @ SV592 )
= $true )
| ( ( ord_le318720350_set_a @ SV285 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3313]) ).
thf(3609,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3314]) ).
thf(3610,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3315]) ).
thf(3611,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3315]) ).
thf(3612,plain,
! [SV596: set_Pr204296108_a_a_e,SV289: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV289 @ ( sK41_SY2227 @ SV596 @ SV289 ) ) @ SV596 )
= $true )
| ( ( member_set_a @ SV289 @ ( domain_set_a_a_e @ SV596 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3316]) ).
thf(3613,plain,
! [SV290: set_set_a,SV826: set_set_a,SV597: set_set_a] :
( ( ( ord_le318720350_set_a @ SV597 @ SV826 )
= $false )
| ( ( ord_le318720350_set_a @ SV290 @ SV826 )
= $true )
| ( ( SV290 = SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3317]) ).
thf(3614,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ( SV600 = SV934 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $false )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3615,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3319]) ).
thf(3616,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3319]) ).
thf(3617,plain,
! [SV295: a > e,SV602: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK42_SY2235 @ SV602 @ SV295 ) @ SV295 ) @ SV602 )
= $true )
| ( ( member_a_e @ SV295 @ ( range_set_a_a_e @ SV602 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3320]) ).
thf(3618,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ( SV604 = SV935 )
| ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $false )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3321]) ).
thf(3619,plain,
! [SV605: set_a > set_a,SV298: set_a,SV936: set_set_a,SV833: set_a] :
( ( ( ~ ( member_set_a @ SV833 @ SV936 ) )
= $true )
| ( ( member_set_a @ SV298 @ ( image_set_a_set_a @ SV605 @ SV936 ) )
= $true )
| ( ( SV298
= ( SV605 @ SV833 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3322]) ).
thf(3620,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ( SV606 = SV937 )
| ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $false )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3621,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ( SV607 = SV938 )
| ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $false )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3324]) ).
thf(3622,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3326]) ).
thf(3623,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3326]) ).
thf(3624,plain,
! [SV305: set_a,SV611: a > a > e,SV838: set_a_e] :
( ( ( ~ ( member_a @ ( sK43_SY2463 @ SV838 @ SV611 @ SV305 ) @ SV305 ) )
= $false )
| ( ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SV838 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3327]) ).
thf(3625,plain,
! [SV305: set_a,SV838: set_a_e,SV611: a > a > e] :
( ( ( member_a_e @ ( SV611 @ ( sK43_SY2463 @ SV838 @ SV611 @ SV305 ) ) @ SV838 )
= $false )
| ( ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SV838 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3327]) ).
thf(3626,plain,
! [SV306: set_set_a,SV939: set_set_set_a,SV612: set_set_a,SV839: set_set_a > set_set_set_a] :
( ( ( ( SV839 @ SV612 )
!= SV939 )
= $true )
| ( ( ~ ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) )
| ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3328]) ).
thf(3627,plain,
! [SV613: set_a,SV307: set_a > $o,SV940: a > e,SV840: ( a > e ) > $o] :
( ( ( ~ ( SV840 @ SV940 ) )
= $true )
| ( ( ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
| ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) ) )
= $true )
| ( ( SV307 @ SV613 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3329]) ).
thf(3628,plain,
! [SV309: set_a,SV615: a > set_a,SV842: set_set_a] :
( ( ( ~ ( member_a @ ( sK44_SY2468 @ SV842 @ SV615 @ SV309 ) @ SV309 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SV842 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3330]) ).
thf(3629,plain,
! [SV309: set_a,SV842: set_set_a,SV615: a > set_a] :
( ( ( member_set_a @ ( SV615 @ ( sK44_SY2468 @ SV842 @ SV615 @ SV309 ) ) @ SV842 )
= $false )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SV842 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3330]) ).
thf(3630,plain,
! [SV616: $o > set_a,SV310: $o > set_a] :
( ( ( ! [SV970: $o] :
( ( SV310 @ SV970 )
= ( SV616 @ SV970 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV616 @ SV310 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3331]) ).
thf(3631,plain,
! [SV616: $o > set_a,SV310: $o > set_a] :
( ( ( SV310 = SV616 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV616 @ SV310 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3331]) ).
thf(3632,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ( ( SV312
!= ( produc479206876_set_a @ ( sK74_SY2564 @ SV618 @ SV312 ) @ ( sK45_SY2260 @ SV618 @ SV312 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK45_SY2260 @ SV618 @ SV312 ) @ ( sK74_SY2564 @ SV618 @ SV312 ) ) @ SV618 ) )
= $false )
| ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3332]) ).
thf(3633,plain,
! [SV620: set_a,SV845: set_a,SV314: set_a] :
( ( ( ord_less_eq_set_a @ SV314 @ SV845 )
= $false )
| ( ( ord_less_eq_set_a @ SV620 @ SV845 )
= $true )
| ( ( SV314 = SV620 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3333]) ).
thf(3634,plain,
! [SV621: $o > set_a,SV315: $o > set_a] :
( ( ( ! [SV971: $o] :
( ( SV315 @ SV971 )
= ( SV621 @ SV971 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV621 @ SV315 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3334]) ).
thf(3635,plain,
! [SV621: $o > set_a,SV315: $o > set_a] :
( ( ( SV315 = SV621 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV621 @ SV315 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3334]) ).
thf(3636,plain,
! [SV954: ( a > e ) > a > e,SV941: set_a > set_a,SV846: set_Pr204296108_a_a_e,SV622: a > e,SV316: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV316 @ SV622 ) @ SV846 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( SV941 @ SV316 ) @ ( SV954 @ SV622 ) ) @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV941 @ SV954 ) @ SV846 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3335]) ).
thf(3637,plain,
! [SV624: a > $o,SV318: a > $o] :
( ( ( SV318 @ ( sK19_SY2267 @ SV624 @ SV318 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV318 ) @ ( collect_a @ SV624 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3337]) ).
thf(3638,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( ~ ! [SY2269: set_a] :
~ ~ ( ~ ( member_set_a @ SY2269 @ SV320 )
| ~ ~ ( member_set_a @ SY2269 @ SV626 ) ) )
= $true )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3339]) ).
thf(3639,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ~ ( ~ ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SV848 @ SV972 ) ) )
= $true )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3340]) ).
thf(3640,plain,
! [SV629: set_set_a,SV323: set_set_a,SV849: set_set_a] :
( ( ( ord_le318720350_set_a @ SV849 @ SV323 )
= $false )
| ( ( ord_le318720350_set_a @ SV849 @ SV629 )
= $true )
| ( ( ord_le318720350_set_a @ SV323 @ SV629 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3342]) ).
thf(3641,plain,
! [SV324: set_Pr204296108_a_a_e,SV630: produc715398134_a_a_e > set_a,SV850: set_set_a,SV942: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) @ SV324 )
| ( member_set_a @ ( SV630 @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) ) @ SV850 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 )
| ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3343]) ).
thf(3642,plain,
! [SV325: set_Pr204296108_a_a_e,SV631: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK20_SY2277 @ SV631 @ SV325 ) @ SV325 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV325 @ SV631 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3344]) ).
thf(3643,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 = SV943 )
| ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3346]) ).
thf(3644,plain,
! [SV633: set_a,SV327: set_a,SV852: a] :
( ( ( member_a @ SV852 @ SV327 )
= $false )
| ( ( member_a @ SV852 @ SV633 )
= $true )
| ( ( ord_less_eq_set_a @ SV327 @ SV633 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3347]) ).
thf(3645,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ! [SV973: a] :
( ( produc317566658_a_a_e @ SV328 @ SV973 )
= ( produc317566658_a_a_e @ SV634 @ SV973 ) ) )
= $false )
| ( ( SV328 = SV634 )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV328 )
= ( produc1040928388_a_a_e @ SV634 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3348]) ).
thf(3646,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV328 )
= ( produc317566658_a_a_e @ SV634 ) )
= $false )
| ( ( SV328 = SV634 )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV328 )
= ( produc1040928388_a_a_e @ SV634 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3348]) ).
thf(3647,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3349]) ).
thf(3648,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3349]) ).
thf(3649,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ! [SY2285: set_a] :
( ~ ( SV331 @ SY2285 )
| ( ord_less_eq_set_a @ SY2285 @ SV637 ) ) )
= $false )
| ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3350]) ).
thf(3650,plain,
! [SV638: set_Pr204296108_a_a_e,SV332: produc715398134_a_a_e,SV944: produc715398134_a_a_e > set_a,SV856: set_a] :
( ( ( SV856
!= ( SV944 @ SV332 ) )
= $true )
| ( ( member_set_a @ SV856 @ ( image_64240033_set_a @ SV944 @ SV638 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV332 @ SV638 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3351]) ).
thf(3651,plain,
! [SV333: set_set_a,SV639: set_a > a,SV857: set_a] :
( ( ( ~ ( member_set_a @ ( sK46_SY2480 @ SV857 @ SV639 @ SV333 ) @ SV333 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SV857 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3352]) ).
thf(3652,plain,
! [SV333: set_set_a,SV857: set_a,SV639: set_a > a] :
( ( ( member_a @ ( SV639 @ ( sK46_SY2480 @ SV857 @ SV639 @ SV333 ) ) @ SV857 )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SV857 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3352]) ).
thf(3653,plain,
! [SV858: set_set_a,SV334: set_set_set_a,SV640: set_a > set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK76_SY2481 @ SV640 @ SV334 @ SV858 ) @ SV858 )
| ( SV334
!= ( image_1930509541_set_a @ SV640 @ ( sK76_SY2481 @ SV640 @ SV334 @ SV858 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3353]) ).
thf(3654,plain,
! [SV335: set_a_e,SV641: ( a > e ) > a,SV859: set_a] :
( ( ( ~ ( member_a_e @ ( sK47_SY2482 @ SV859 @ SV641 @ SV335 ) @ SV335 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SV859 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3655,plain,
! [SV335: set_a_e,SV859: set_a,SV641: ( a > e ) > a] :
( ( ( member_a @ ( SV641 @ ( sK47_SY2482 @ SV859 @ SV641 @ SV335 ) ) @ SV859 )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SV859 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3656,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3355]) ).
thf(3657,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a] :
( ( ( ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3355]) ).
thf(3658,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3356]) ).
thf(3659,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3356]) ).
thf(3660,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3357]) ).
thf(3661,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a] :
( ( ( ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3357]) ).
thf(3662,plain,
! [SV645: $o > set_a,SV863: $o > set_a,SV339: $o > set_a] :
( ( ( ( SV339 @ ( sK77_SV962 @ SV863 @ SV645 @ SV339 ) )
= ( SV645 @ ( sK77_SV962 @ SV863 @ SV645 @ SV339 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 )
| ( ord_less_eq_o_set_a @ SV339 @ SV863 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3358]) ).
thf(3663,plain,
! [SV339: $o > set_a,SV863: $o > set_a,SV645: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV339 @ SV863 )
= $true )
| ( ( SV339 = SV645 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3359]) ).
thf(3664,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3360]) ).
thf(3665,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3361]) ).
thf(3666,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) ) )
= $false )
| ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3362]) ).
thf(3667,plain,
! [SV11: set_a,SV341: set_a > $o] :
( ( ( ~ ( SV341 @ SV11 ) )
= $false )
| ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3362]) ).
thf(3668,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( ~ ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) ) )
= $false )
| ( ( SV341 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3669,plain,
! [SV11: set_a,SV341: set_a > $o] :
( ( ( ~ ( SV341 @ SV11 ) )
= $false )
| ( ( SV341 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3670,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3364]) ).
thf(3671,plain,
! [SV12: produc715398134_a_a_e,SV342: produc715398134_a_a_e > $o] :
( ( ( ~ ( SV342 @ SV12 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3364]) ).
thf(3672,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) ) )
= $false )
| ( ( SV342 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3365]) ).
thf(3673,plain,
! [SV12: produc715398134_a_a_e,SV342: produc715398134_a_a_e > $o] :
( ( ( ~ ( SV342 @ SV12 ) )
= $false )
| ( ( SV342 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3365]) ).
thf(3674,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) ) )
= $false )
| ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3366]) ).
thf(3675,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) )
= $false )
| ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3366]) ).
thf(3676,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ~ ( member_set_a @ SV17 @ ( pow_a @ SV344 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3367]) ).
thf(3677,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV17 @ SV344 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3367]) ).
thf(3678,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3368]) ).
thf(3679,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3369]) ).
thf(3680,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3370]) ).
thf(3681,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3682,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3372]) ).
thf(3683,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3373]) ).
thf(3684,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3685,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3686,plain,
! [SV37: set_a] :
( ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $true )
| ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3376]) ).
thf(3687,plain,
! [SV37: set_a] :
( ( ( SV37 = top_top_set_a )
= $true )
| ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3377]) ).
thf(3688,plain,
! [SV37: set_a] :
( ( ( ord_less_eq_set_a @ top_top_set_a @ SV37 )
= $true )
| ( ( SV37 = top_top_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3378]) ).
thf(3689,plain,
! [SV37: set_a] :
( ( ( SV37 = top_top_set_a )
= $true )
| ( ( SV37 = top_top_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3379]) ).
thf(3690,plain,
! [SV358: set_a] :
( ( ( ~ ( top_top_set_a_o @ SV358 ) )
= $false )
| ( ( top_top_set_a_o @ SV358 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3691,plain,
! [SV358: set_a] :
( ( ( ~ ( member_set_a @ SV358 @ top_top_set_set_a ) )
= $false )
| ( ( top_top_set_a_o @ SV358 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3692,plain,
! [SV358: set_a] :
( ( ( ~ ( top_top_set_a_o @ SV358 ) )
= $false )
| ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3381]) ).
thf(3693,plain,
! [SV358: set_a] :
( ( ( ~ ( member_set_a @ SV358 @ top_top_set_set_a ) )
= $false )
| ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3381]) ).
thf(3694,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ~ ( top_to2000253225_a_e_o @ SV359 ) )
= $false )
| ( ( top_to2000253225_a_e_o @ SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3382]) ).
thf(3695,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
= $false )
| ( ( top_to2000253225_a_e_o @ SV359 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3382]) ).
thf(3696,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ~ ( top_to2000253225_a_e_o @ SV359 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3383]) ).
thf(3697,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e ) )
= $false )
| ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3383]) ).
thf(3698,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( ~ ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) ) )
= $true )
| ( ( ~ ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3384]) ).
thf(3699,plain,
! [SV657: set_a,SV48: set_set_a,SV363: a > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK48_SY2308 @ SV363 @ SV48 @ SV657 ) @ SV657 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3386]) ).
thf(3700,plain,
! [SV657: set_a,SV363: a > set_a,SV48: set_set_a] :
( ( ( SV48
!= ( image_a_set_a @ SV363 @ ( sK48_SY2308 @ SV363 @ SV48 @ SV657 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3386]) ).
thf(3701,plain,
! [SV365: set_set_a,SV50: set_set_a,SV659: set_a] :
( ( ( ~ ( member_set_a @ SV659 @ SV50 ) )
= $false )
| ( ( ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3387]) ).
thf(3702,plain,
! [SV365: set_set_a,SV50: set_set_a,SV659: set_a] :
( ( ( ~ ( member_set_a @ SV659 @ SV50 ) )
= $false )
| ( ( ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV365 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3388]) ).
thf(3703,plain,
! [SV660: set_set_set_a,SV51: set_set_a,SV366: set_set_a > set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK49_SY2309 @ SV366 @ SV51 @ SV660 ) @ SV660 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3389]) ).
thf(3704,plain,
! [SV660: set_set_set_a,SV366: set_set_a > set_a,SV51: set_set_a] :
( ( ( SV51
!= ( image_402591269_set_a @ SV366 @ ( sK49_SY2309 @ SV366 @ SV51 @ SV660 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3389]) ).
thf(3705,plain,
! [SV367: a > e,SV52: set_a,SV869: set_a > ( a > e ) > $o,SV661: set_Pr305929312_set_a] :
( ( ( ! [SY2489: a > e,SY2490: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2489 @ SY2490 ) @ SV661 )
| ( SV869 @ SY2490 @ SY2489 ) ) )
= $false )
| ( ( SV869 @ SV52 @ SV367 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3390]) ).
thf(3706,plain,
! [SV368: set_Pr204296108_a_a_e,SV662: set_a > $o,SV53: set_a] :
( ( ( ! [SY2567: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK78_SY2313 @ SV53 @ SV662 @ SV368 ) @ SY2567 ) @ SV368 )
| ( SV662 @ ( sK78_SY2313 @ SV53 @ SV662 @ SV368 ) ) ) )
= $false )
| ( ( SV662 @ SV53 )
= $true )
| ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3391]) ).
thf(3707,plain,
! [SV369: set_a > produc715398134_a_a_e,SV54: produc715398134_a_a_e,SV870: set_set_a,SV663: set_a] :
( ( ( member_set_a @ SV663 @ SV870 )
= $false )
| ( ( member1258382221_a_a_e @ SV54 @ ( image_210900495_a_a_e @ SV369 @ SV870 ) )
= $true )
| ( ( SV54
= ( SV369 @ SV663 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3392]) ).
thf(3708,plain,
! [SV664: set_Pr204296108_a_a_e,SV55: set_set_a,SV370: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK50_SY2316 @ SV370 @ SV55 @ SV664 ) @ SV664 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3393]) ).
thf(3709,plain,
! [SV664: set_Pr204296108_a_a_e,SV370: produc715398134_a_a_e > set_a,SV55: set_set_a] :
( ( ( SV55
!= ( image_64240033_set_a @ SV370 @ ( sK50_SY2316 @ SV370 @ SV55 @ SV664 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3393]) ).
thf(3710,plain,
! [SV56: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ a3 @ SV56 ) )
= $true )
| ( thesis = $true )
| ( ( ord_less_eq_set_a @ a2 @ SV56 )
= $false )
| ( ( ord_less_eq_set_a @ a1 @ SV56 )
= $false )
| ( ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3394]) ).
thf(3711,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ( SV59
!= ( produc1134456688_a_a_e @ ( sK51_SY2561 @ SV372 @ SV59 ) @ ( sK21_SY1878 @ SV372 @ SV59 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3712,plain,
! [SV59: produc715398134_a_a_e,SV372: set_Pr305929312_set_a] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK21_SY1878 @ SV372 @ SV59 ) @ ( sK51_SY2561 @ SV372 @ SV59 ) ) @ SV372 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3713,plain,
! [SV61: set_a,SV871: $o > set_a,SV374: set_a,SV667: set_a > $o > set_a] :
( ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3714,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $false )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3399]) ).
thf(3715,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3399]) ).
thf(3716,plain,
! [SV65: set_Pr204296108_a_a_e,SV378: produc715398134_a_a_e > a,SV669: set_a] :
( ( ( member1258382221_a_a_e @ ( sK22_SY2320 @ SV669 @ SV378 @ SV65 ) @ SV65 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_2116492353_a_e_a @ SV378 @ SV65 ) @ SV669 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3400]) ).
thf(3717,plain,
! [SV66: set_a,SV873: set_set_set_a,SV379: set_a,SV670: set_a > set_set_set_a] :
( ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ~ ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) )
| ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3402]) ).
thf(3718,plain,
! [SV69: set_Pr204296108_a_a_e,SV382: produc715398134_a_a_e > produc715398134_a_a_e,SV672: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK23_SY2324 @ SV672 @ SV382 @ SV69 ) @ SV69 )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_625620211_a_a_e @ SV382 @ SV69 ) @ SV672 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3406]) ).
thf(3719,plain,
! [SV70: a > a,SV383: set_a,SV673: set_a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3408]) ).
thf(3720,plain,
! [SV383: set_a,SV673: set_a > $o,SV70: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3409]) ).
thf(3721,plain,
! [SV74: set_a,SV874: set_a,SV387: set_a,SV676: set_a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ~ ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) )
| ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3411]) ).
thf(3722,plain,
! [SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3723,plain,
! [SV79: set_Pr204296108_a_a_e,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV876: $o > set_a,SV681: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) )
| ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) ) )
= $true )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3415]) ).
thf(3724,plain,
! [SV80: set_set_a,SV393: set_a > set_a,SV682: set_set_a,SV877: set_a] :
( ( ( ~ ( member_set_a @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) @ SV80 ) )
= $false )
| ( ( ~ ( member_set_a @ SV877 @ SV80 )
| ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3725,plain,
! [SV80: set_set_a,SV682: set_set_a,SV877: set_a,SV393: set_a > set_a] :
( ( ( member_set_a @ ( SV393 @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) ) @ SV682 )
= $false )
| ( ( ~ ( member_set_a @ SV877 @ SV80 )
| ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3726,plain,
! [SV81: set_a,SV394: set_a > set_a,SV878: set_a,SV683: set_a] :
( ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) )
| ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3417]) ).
thf(3727,plain,
! [SV687: set_a,SV86: set_a,SV399: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK53_SY2341 @ SV399 @ SV86 @ SV687 ) @ SV687 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3728,plain,
! [SV687: set_a,SV399: a > a,SV86: set_a] :
( ( ( SV86
!= ( image_a_a @ SV399 @ ( sK53_SY2341 @ SV399 @ SV86 @ SV687 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3729,plain,
! [SV879: a > e,SV400: a > e,SV688: set_a,SV87: set_a] :
( ( ( SV87 != SV688 )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3421]) ).
thf(3730,plain,
! [SV688: set_a,SV87: set_a,SV879: a > e,SV400: a > e] :
( ( ( SV400 != SV879 )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3421]) ).
thf(3731,plain,
! [SV89: set_set_a,SV402: set_a > produc715398134_a_a_e,SV689: set_Pr204296108_a_a_e,SV880: set_a] :
( ( ( ~ ( member_set_a @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) @ SV89 ) )
= $false )
| ( ( ~ ( member_set_a @ SV880 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3732,plain,
! [SV89: set_set_a,SV689: set_Pr204296108_a_a_e,SV880: set_a,SV402: set_a > produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( SV402 @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) ) @ SV689 )
= $false )
| ( ( ~ ( member_set_a @ SV880 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3733,plain,
! [SV403: produc715398134_a_a_e > produc715398134_a_a_e,SV90: produc715398134_a_a_e,SV881: set_Pr204296108_a_a_e,SV690: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV690 @ SV881 )
= $false )
| ( ( member1258382221_a_a_e @ SV90 @ ( image_625620211_a_a_e @ SV403 @ SV881 ) )
= $true )
| ( ( SV90
= ( SV403 @ SV690 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3424]) ).
thf(3734,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3735,plain,
! [SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a,SV692: set_set_set_a] :
( ( ( ~ ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
| ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3426]) ).
thf(3736,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( SV406 = SV882 )
= $false )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3427]) ).
thf(3737,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $false )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3427]) ).
thf(3738,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3428]) ).
thf(3739,plain,
! [SV407: set_a,SV94: a > a,SV694: set_a] :
( ( ( ~ ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
| ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3429]) ).
thf(3740,plain,
! [SV95: set_Pr204296108_a_a_e,SV948: set_set_a > set_a,SV883: produc715398134_a_a_e > set_a,SV695: produc715398134_a_a_e > set_a,SV408: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2506: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2506 @ SV408 )
| ( ( SV695 @ SY2506 )
= ( SV883 @ SY2506 ) ) ) )
= $true )
| ( ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) )
= $true )
| ( ( SV95 = SV408 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3430]) ).
thf(3741,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3432]) ).
thf(3742,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3432]) ).
thf(3743,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3434]) ).
thf(3744,plain,
! [SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a,SV700: set_set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
| ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3435]) ).
thf(3745,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV104 )
= ( produc317566658_a_a_e @ SV416 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV104 )
= ( produc1040928388_a_a_e @ SV416 ) )
= $false )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3436]) ).
thf(3746,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 != SV105 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3437]) ).
thf(3747,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( SV417 = SV105 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 != SV105 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3437]) ).
thf(3748,plain,
! [SV418: set_Pr204296108_a_a_e,SV701: ( a > e ) > $o,SV106: a > e] :
( ( ( ! [SY2568: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK84_SY2352 @ SV106 @ SV701 @ SV418 ) @ SY2568 ) @ SV418 )
| ( SV701 @ SY2568 ) ) )
= $false )
| ( ( SV701 @ SV106 )
= $true )
| ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3438]) ).
thf(3749,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( SV421 = SV885 )
= $false )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3440]) ).
thf(3750,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $false )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3440]) ).
thf(3751,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3441]) ).
thf(3752,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3442]) ).
thf(3753,plain,
! [SV959: set_Pr204296108_a_a_e,SV949: produc715398134_a_a_e > a > e,SV886: a > e,SV706: produc715398134_a_a_e,SV424: produc715398134_a_a_e > set_a,SV112: set_a] :
( ( ( SV112
= ( SV424 @ SV706 ) )
= $false )
| ( ( ( SV886
!= ( SV949 @ SV706 ) )
| ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3443]) ).
thf(3754,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3755,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3445]) ).
thf(3756,plain,
! [SV426: set_a,SV114: a > e,SV887: ( a > e ) > set_a > $o,SV708: set_Pr204296108_a_a_e] :
( ( ( ! [SY2509: set_a,SY2510: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2509 @ SY2510 ) @ SV708 )
| ( SV887 @ SY2510 @ SY2509 ) ) )
= $false )
| ( ( SV887 @ SV114 @ SV426 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3446]) ).
thf(3757,plain,
! [SV115: set_a,SV427: a > a,SV709: set_a] :
( ( ( member_a @ ( sK24_SY2363 @ SV709 @ SV427 @ SV115 ) @ SV115 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV427 @ SV115 ) @ SV709 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3447]) ).
thf(3758,plain,
! [SV117: set_set_a,SV888: set_set_a,SV429: set_set_a,SV710: set_set_a > set_set_a] :
( ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ~ ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) )
| ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3759,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 = SV889 )
= $false )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3451]) ).
thf(3760,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3451]) ).
thf(3761,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3452]) ).
thf(3762,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3453]) ).
thf(3763,plain,
! [SV122: $o > set_a,SV974: $o,SV434: $o > set_a] :
( ( ( ( SV434 @ SV974 )
= ( SV122 @ SV974 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV434 @ SV122 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3454]) ).
thf(3764,plain,
! [SV122: $o > set_a,SV434: $o > set_a] :
( ( ( ( SV434 @ $true )
= ( SV122 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV434 @ SV122 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3454]) ).
thf(3765,plain,
! [SV122: $o > set_a,SV434: $o > set_a] :
( ( ( ( SV434 @ $false )
= ( SV122 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV434 @ SV122 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV122 @ SV434 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3454]) ).
thf(3766,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3456]) ).
thf(3767,plain,
! [SV435: set_set_a,SV123: set_a > a,SV714: set_a] :
( ( ( ~ ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
| ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3457]) ).
thf(3768,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3458]) ).
thf(3769,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3458]) ).
thf(3770,plain,
! [SV438: set_a > a > e,SV717: set_a,SV891: set_set_a,SV126: a > e] :
( ( ( ( SV126 @ ( sK86_SV965 @ SV891 @ SV717 @ SV438 @ SV126 ) )
= ( SV438 @ SV717 @ ( sK86_SV965 @ SV891 @ SV717 @ SV438 @ SV126 ) ) )
= $false )
| ( ( ~ ( member_set_a @ SV717 @ SV891 )
| ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3459]) ).
thf(3771,plain,
! [SV438: set_a > a > e,SV126: a > e,SV891: set_set_a,SV717: set_a] :
( ( ( ~ ( member_set_a @ SV717 @ SV891 ) )
= $true )
| ( ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) )
= $true )
| ( ( SV126
= ( SV438 @ SV717 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3460]) ).
thf(3772,plain,
! [SV442: set_a,SV130: set_a,SV719: a] :
( ( ( ~ ( member_a @ SV719 @ SV130 ) )
= $false )
| ( ( ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3462]) ).
thf(3773,plain,
! [SV442: set_a,SV130: set_a,SV719: a] :
( ( ( ~ ( member_a @ SV719 @ SV130 ) )
= $false )
| ( ( ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV442 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3463]) ).
thf(3774,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3465]) ).
thf(3775,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3465]) ).
thf(3776,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV132: set_a] :
( ( ( ~ ~ ! [SY2569: a > e] :
~ ~ ( ( SV132 != SV975 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SY2569 ) @ SV444 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3466]) ).
thf(3777,plain,
! [SV721: set_set_a,SV133: set_set_a,SV445: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK55_SY2371 @ SV445 @ SV133 @ SV721 ) @ SV721 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3467]) ).
thf(3778,plain,
! [SV721: set_set_a,SV445: set_a > set_a,SV133: set_set_a] :
( ( ( SV133
!= ( image_set_a_set_a @ SV445 @ ( sK55_SY2371 @ SV445 @ SV133 @ SV721 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3467]) ).
thf(3779,plain,
! [SV135: set_a,SV722: a > e,SV447: a > e] :
( ( ( ! [SV976: a] :
( ( SV447 @ SV976 )
= ( SV722 @ SV976 ) ) )
= $true )
| ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) )
= ( SV722 @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3468]) ).
thf(3780,plain,
! [SV135: set_a,SV722: a > e,SV447: a > e] :
( ( ( SV447 = SV722 )
= $true )
| ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) )
= ( SV722 @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3468]) ).
thf(3781,plain,
! [SV135: set_a,SV722: a > e,SV977: a,SV447: a > e] :
( ( ( ( SV447 @ SV977 )
= ( SV722 @ SV977 ) )
= $true )
| ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) )
= SV722 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3469]) ).
thf(3782,plain,
! [SV448: produc715398134_a_a_e > set_a,SV136: set_a,SV892: set_Pr204296108_a_a_e,SV723: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV723 @ SV892 )
= $false )
| ( ( member_set_a @ SV136 @ ( image_64240033_set_a @ SV448 @ SV892 ) )
= $true )
| ( ( SV136
= ( SV448 @ SV723 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3471]) ).
thf(3783,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( ~ ( ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV137 )
| ~ ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV449 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3472]) ).
thf(3784,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3473]) ).
thf(3785,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3473]) ).
thf(3786,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( SV453 = SV893 )
= $false )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3476]) ).
thf(3787,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $false )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3476]) ).
thf(3788,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
= $false )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3477]) ).
thf(3789,plain,
! [SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3477]) ).
thf(3790,plain,
! [SV978: a > e,SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $true )
| ( ( ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3478]) ).
thf(3791,plain,
! [SV727: set_set_set_a,SV143: set_a,SV455: set_set_a > a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK58_SY2373 @ SV455 @ SV143 @ SV727 ) @ SV727 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3479]) ).
thf(3792,plain,
! [SV727: set_set_set_a,SV455: set_set_a > a,SV143: set_a] :
( ( ( SV143
!= ( image_set_set_a_a @ SV455 @ ( sK58_SY2373 @ SV455 @ SV143 @ SV727 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3479]) ).
thf(3793,plain,
! [SV144: set_Pr204296108_a_a_e,SV456: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK12_SY2010 @ SV456 @ SV144 ) @ ( sK26_SY2554 @ SV144 @ SV456 ) ) @ SV144 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV144 @ SV456 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3480]) ).
thf(3794,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3483]) ).
thf(3795,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3483]) ).
thf(3796,plain,
! [SV465: ( a > e ) > a,SV153: a,SV895: set_a_e,SV734: a > e] :
( ( ( member_a_e @ SV734 @ SV895 )
= $false )
| ( ( member_a @ SV153 @ ( image_a_e_a @ SV465 @ SV895 ) )
= $true )
| ( ( SV153
= ( SV465 @ SV734 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3484]) ).
thf(3797,plain,
! [SV154: set_set_a,SV466: set_a > set_a,SV735: set_set_a] :
( ( ( member_set_a @ ( sK27_SY2376 @ SV735 @ SV466 @ SV154 ) @ SV154 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV466 @ SV154 ) @ SV735 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3485]) ).
thf(3798,plain,
! [SV736: ( a > e ) > a > e,SV896: set_Pr204296108_a_a_e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ( ! [SY2570: a > e] :
( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) ) @ ( SV736 @ SY2570 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) @ SY2570 ) @ SV896 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3487]) ).
thf(3799,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 != SV156 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3488]) ).
thf(3800,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( SV468 = SV156 )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 != SV156 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3488]) ).
thf(3801,plain,
! [SV471: set_Pr204296108_a_a_e,SV159: set_Pr204296108_a_a_e] :
( ( ( ! [SY2029: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2029 @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ SY2029 @ SV471 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3489]) ).
thf(3802,plain,
! [SV739: set_a,SV160: set_set_set_a,SV472: a > set_set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK59_SY2380 @ SV472 @ SV160 @ SV739 ) @ SV739 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3803,plain,
! [SV739: set_a,SV472: a > set_set_a,SV160: set_set_set_a] :
( ( ( SV160
!= ( image_a_set_set_a @ SV472 @ ( sK59_SY2380 @ SV472 @ SV160 @ SV739 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3804,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3491]) ).
thf(3805,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3491]) ).
thf(3806,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV161: a > e] :
( ( ( ~ ~ ! [SY2571: a > e] :
~ ~ ( ( SV161 != SY2571 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SY2571 ) @ SV473 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3492]) ).
thf(3807,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( SV474 = SV897 )
= $false )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3493]) ).
thf(3808,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $false )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3493]) ).
thf(3809,plain,
! [SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV165: set_set_a,SV477: set_Pr204296108_a_a_e,SV742: set_a_e] :
( ( ( SV742
!= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $true )
| ( ( ~ ! [SY2555: set_a] :
( ~ ( member_set_a @ SY2555 @ SV165 )
| ! [SY2556: a > e] :
( ~ ( member_a_e @ SY2556 @ SV742 )
| ~ ( SV898 @ SY2555 @ SY2556 )
| ( SV951 @ SY2555 @ SY2556 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3495]) ).
thf(3810,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 != SV166 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3496]) ).
thf(3811,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( SV478 = SV166 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 != SV166 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3496]) ).
thf(3812,plain,
! [SV169: set_a,SV899: set_set_a,SV481: set_a,SV744: set_a > set_set_a] :
( ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ~ ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) )
| ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3813,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3498]) ).
thf(3814,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3498]) ).
thf(3815,plain,
! [SV173: set_Pr204296108_a_a_e,SV485: produc715398134_a_a_e > set_a,SV747: set_set_a] :
( ( ( member1258382221_a_a_e @ ( sK28_SY2389 @ SV747 @ SV485 @ SV173 ) @ SV173 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV485 @ SV173 ) @ SV747 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3499]) ).
thf(3816,plain,
! [SV487: set_a > a,SV175: a,SV901: set_set_a,SV749: set_a] :
( ( ( member_set_a @ SV749 @ SV901 )
= $false )
| ( ( member_a @ SV175 @ ( image_set_a_a @ SV487 @ SV901 ) )
= $true )
| ( ( SV175
= ( SV487 @ SV749 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3502]) ).
thf(3817,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( ~ ( ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV176 )
| ~ ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV488 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3503]) ).
thf(3818,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3504]) ).
thf(3819,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3504]) ).
thf(3820,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3505]) ).
thf(3821,plain,
! [SV177: a > $o,SV489: a > $o] :
( ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3505]) ).
thf(3822,plain,
! [SV184: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV753: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) @ SV184 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3510]) ).
thf(3823,plain,
! [SV184: set_Pr204296108_a_a_e,SV753: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( SV496 @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) ) @ SV753 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3510]) ).
thf(3824,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3825,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3512]) ).
thf(3826,plain,
! [SV186: set_set_a,SV498: ( $o > set_a ) > set_set_a,SV903: $o > set_a,SV755: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) )
| ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) ) )
= $true )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3513]) ).
thf(3827,plain,
! [SV757: set_Pr204296108_a_a_e,SV188: set_a,SV500: a > e,SV904: a > e] :
( ( ( SV904 = SV500 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3515]) ).
thf(3828,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV502 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3517]) ).
thf(3829,plain,
! [SV192: set_Pr204296108_a_a_e,SV905: produc715398134_a_a_e > set_a,SV760: produc715398134_a_a_e > set_a,SV504: set_Pr204296108_a_a_e] :
( ( ( ! [SY2526: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2526 @ SV504 )
| ( ( SV760 @ SY2526 )
= ( SV905 @ SY2526 ) ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) )
= $true )
| ( ( SV192 = SV504 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3518]) ).
thf(3830,plain,
! [SV193: $o > set_a,SV761: $o > set_a,SV505: $o > set_a] :
( ( ( ! [SV980: $o] :
( ( SV505 @ SV980 )
= ( SV761 @ SV980 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV761 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV505 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3519]) ).
thf(3831,plain,
! [SV193: $o > set_a,SV761: $o > set_a,SV505: $o > set_a] :
( ( ( SV505 = SV761 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV761 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV505 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3519]) ).
thf(3832,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3522]) ).
thf(3833,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3523]) ).
thf(3834,plain,
! [SV199: produc715398134_a_a_e > set_a,SV511: set_Pr204296108_a_a_e,SV765: set_set_a > $o] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3524]) ).
thf(3835,plain,
! [SV511: set_Pr204296108_a_a_e,SV765: set_set_a > $o,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3525]) ).
thf(3836,plain,
! [SV203: produc715398134_a_a_e > set_a,SV515: set_Pr204296108_a_a_e,SV769: set_a > $o] :
( ( ( member_set_a @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) @ ( image_64240033_set_a @ SV203 @ SV515 ) )
= $true )
| ( ( ! [SY2404: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2404 @ SV515 )
| ( SV769 @ ( SV203 @ SY2404 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3528]) ).
thf(3837,plain,
! [SV203: produc715398134_a_a_e > set_a,SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV981: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV981 @ SV515 )
| ( SV769 @ ( SV203 @ SV981 ) ) )
= $true )
| ( ( SV769 @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3529]) ).
thf(3838,plain,
! [SV516: set_set_a,SV204: set_set_a,SV770: set_a] :
( ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV204 @ SV516 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3530]) ).
thf(3839,plain,
! [SV516: set_set_a,SV204: set_set_a,SV770: set_a] :
( ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ~ ~ ( member_set_a @ SV770 @ SV516 )
| ( ord_le318720350_set_a @ SV516 @ SV204 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3840,plain,
! [SV206: set_set_set_a,SV906: set_a,SV518: set_set_set_a,SV771: set_set_set_a > set_a] :
( ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ~ ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) )
| ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3532]) ).
thf(3841,plain,
! [SV519: a > set_a,SV207: set_a,SV907: set_a,SV772: a] :
( ( ( member_a @ SV772 @ SV907 )
= $false )
| ( ( member_set_a @ SV207 @ ( image_a_set_a @ SV519 @ SV907 ) )
= $true )
| ( ( SV207
= ( SV519 @ SV772 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3533]) ).
thf(3842,plain,
! [SV773: set_set_a,SV209: set_a,SV521: set_a > a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK64_SY2409 @ SV521 @ SV209 @ SV773 ) @ SV773 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3534]) ).
thf(3843,plain,
! [SV773: set_set_a,SV521: set_a > a,SV209: set_a] :
( ( ( SV209
!= ( image_set_a_a @ SV521 @ ( sK64_SY2409 @ SV521 @ SV209 @ SV773 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3534]) ).
thf(3844,plain,
! [SV523: set_a,SV211: set_a] :
( ( ( ! [SY2109: a] :
~ ~ ( ~ ( member_a @ SY2109 @ SV211 )
| ~ ~ ( member_a @ SY2109 @ SV523 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3536]) ).
thf(3845,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3537]) ).
thf(3846,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3537]) ).
thf(3847,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( SV526 = SV909 )
= $false )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3538]) ).
thf(3848,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $false )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3538]) ).
thf(3849,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3539]) ).
thf(3850,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3540]) ).
thf(3851,plain,
! [SV216: a > e,SV982: set_a,SV528: produc715398134_a_a_e] :
( ( ( SV528
!= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $true )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3541]) ).
thf(3852,plain,
! [SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e,SV777: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV777 @ SV217 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV777 @ SV529 )
| ( SV217 != SV529 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV217 @ SV529 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3542]) ).
thf(3853,plain,
! [SV531: set_set_a,SV219: set_set_a,SV779: set_a] :
( ( ( member_set_a @ SV779 @ SV219 )
= $true )
| ( ( ~ ( member_set_a @ SV779 @ SV531 )
| ( SV219 != SV531 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV219 @ SV531 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3543]) ).
thf(3854,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ( ~ ( SV221 @ ( sK65_SY2119 @ SV533 @ SV221 ) ) )
= $false )
| ( ( ( order_Greatest_set_a @ SV221 )
= SV533 )
= $true )
| ( ( SV221 @ SV533 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3544]) ).
thf(3855,plain,
! [SV221: set_a > $o,SV533: set_a] :
( ( ( ord_less_eq_set_a @ ( sK65_SY2119 @ SV533 @ SV221 ) @ SV533 )
= $false )
| ( ( ( order_Greatest_set_a @ SV221 )
= SV533 )
= $true )
| ( ( SV221 @ SV533 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3544]) ).
thf(3856,plain,
! [SV535: set_Pr204296108_a_a_e,SV223: produc715398134_a_a_e,SV910: produc715398134_a_a_e > produc715398134_a_a_e,SV782: produc715398134_a_a_e] :
( ( ( SV782
= ( SV910 @ SV223 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV782 @ ( image_625620211_a_a_e @ SV910 @ SV535 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV223 @ SV535 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3545]) ).
thf(3857,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3546]) ).
thf(3858,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3547]) ).
thf(3859,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( SV537 = SV911 )
= $false )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3548]) ).
thf(3860,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $false )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3548]) ).
thf(3861,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV539 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3549]) ).
thf(3862,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( SV540 = SV912 )
= $false )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3550]) ).
thf(3863,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $false )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3550]) ).
thf(3864,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV786: $o > set_a,SV913: $o > set_a,SV230: $o > set_a] :
( ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 )
| ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3551]) ).
thf(3865,plain,
! [SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 ) )
= $true )
| ( ( ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3552]) ).
thf(3866,plain,
! [SV787: set_Pr204296108_a_a_e,SV231: set_a,SV543: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) @ SV787 )
| ( SV231
!= ( SV543 @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) ) ) ) )
= $true )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3553]) ).
thf(3867,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3554]) ).
thf(3868,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3554]) ).
thf(3869,plain,
! [SV546: a > a,SV234: a,SV915: set_a,SV790: a] :
( ( ( member_a @ SV790 @ SV915 )
= $false )
| ( ( member_a @ SV234 @ ( image_a_a @ SV546 @ SV915 ) )
= $true )
| ( ( SV234
= ( SV546 @ SV790 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3555]) ).
thf(3870,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( SV547 = SV916 )
= $false )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3556]) ).
thf(3871,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $false )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3556]) ).
thf(3872,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( SV549 = SV917 )
= $false )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3559]) ).
thf(3873,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $false )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3559]) ).
thf(3874,plain,
( ( ~ ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3560]) ).
thf(3875,plain,
( ( ~ ( ord_less_eq_set_a @ a2 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3560]) ).
thf(3876,plain,
! [SV552: set_set_a,SV241: set_a,SV918: set_a > set_a,SV794: set_a] :
( ( ( SV794
= ( SV918 @ SV241 ) )
= $false )
| ( ( member_set_a @ SV794 @ ( image_set_a_set_a @ SV918 @ SV552 ) )
= $true )
| ( ( member_set_a @ SV241 @ SV552 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3562]) ).
thf(3877,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3564]) ).
thf(3878,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3564]) ).
thf(3879,plain,
! [SV249: set_a,SV921: set_a,SV559: set_a,SV800: set_a > set_a] :
( ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ~ ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) )
| ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3567]) ).
thf(3880,plain,
! [SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3568]) ).
thf(3881,plain,
! [SV560: set_Pr204296108_a_a_e,SV250: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 )
| ( ord_le700723212_a_a_e @ SV560 @ SV250 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3569]) ).
thf(3882,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3570]) ).
thf(3883,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3571]) ).
thf(3884,plain,
! [SV252: set_set_a,SV922: set_a,SV562: set_set_a,SV803: set_set_a > set_a] :
( ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ~ ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) )
| ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3572]) ).
thf(3885,plain,
! [SV253: set_set_set_a,SV563: ( $o > set_a ) > set_set_set_a,SV923: $o > set_a,SV804: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) )
| ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) ) )
= $true )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3573]) ).
thf(3886,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 != SV255 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3574]) ).
thf(3887,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( SV565 = SV255 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 != SV255 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3574]) ).
thf(3888,plain,
! [SV257: set_a > ( a > e ) > $o,SV805: a > e,SV566: set_a,SV924: produc715398134_a_a_e] :
( ( ( SV924
= ( produc1134456688_a_a_e @ SV566 @ SV805 ) )
= $false )
| ( ( SV257 @ ( produc1040928388_a_a_e @ SV924 ) @ ( produc317566658_a_a_e @ SV924 ) )
= $true )
| ( ( SV257 @ SV566 @ SV805 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3575]) ).
thf(3889,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) ) )
= $false )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3576]) ).
thf(3890,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3576]) ).
thf(3891,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e,SV983: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3577]) ).
thf(3892,plain,
! [SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV261 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3579]) ).
thf(3893,plain,
! [SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV261 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV570 @ SV261 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3580]) ).
thf(3894,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3581]) ).
thf(3895,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3582]) ).
thf(3896,plain,
! [SV264: set_a,SV573: set_a > set_a,SV925: set_a,SV809: set_a] :
( ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) )
| ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) ) )
= $true )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3583]) ).
thf(3897,plain,
! [SV574: set_a,SV265: set_a,SV810: a] :
( ( ( member_a @ SV810 @ SV265 )
= $true )
| ( ( ~ ( member_a @ SV810 @ SV574 )
| ( SV265 != SV574 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV265 @ SV574 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3584]) ).
thf(3898,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( ~ ( ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV266 )
| ~ ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV575 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3585]) ).
thf(3899,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3586]) ).
thf(3900,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3586]) ).
thf(3901,plain,
! [SV577: a > a > e,SV812: a,SV927: set_a,SV268: a > e] :
( ( ( ( SV268 @ ( sK92_SV969 @ SV927 @ SV812 @ SV577 @ SV268 ) )
= ( SV577 @ SV812 @ ( sK92_SV969 @ SV927 @ SV812 @ SV577 @ SV268 ) ) )
= $false )
| ( ( ~ ( member_a @ SV812 @ SV927 )
| ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3587]) ).
thf(3902,plain,
! [SV577: a > a > e,SV268: a > e,SV927: set_a,SV812: a] :
( ( ( ~ ( member_a @ SV812 @ SV927 ) )
= $true )
| ( ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) )
= $true )
| ( ( SV268
= ( SV577 @ SV812 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3588]) ).
thf(3903,plain,
! [SV269: set_a,SV578: set_a > ( a > e ) > set_set_a,SV813: produc715398134_a_a_e] :
( ( ( ( SV813
!= ( produc1134456688_a_a_e @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ ( sK93_SY2565 @ SV269 @ SV578 @ SV813 ) ) )
| ~ ( member_set_a @ SV269 @ ( SV578 @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ ( sK93_SY2565 @ SV269 @ SV578 @ SV813 ) ) ) )
= $false )
| ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3589]) ).
thf(3904,plain,
! [SV814: set_set_set_a,SV270: set_set_set_a,SV579: set_set_a > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK70_SY2441 @ SV579 @ SV270 @ SV814 ) @ SV814 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3590]) ).
thf(3905,plain,
! [SV814: set_set_set_a,SV579: set_set_a > set_set_a,SV270: set_set_set_a] :
( ( ( SV270
!= ( image_1956910981_set_a @ SV579 @ ( sK70_SY2441 @ SV579 @ SV270 @ SV814 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3590]) ).
thf(3906,plain,
! [SV961: set_set_a,SV952: set_a > a > e,SV928: a > e,SV815: set_a,SV580: set_a > set_a,SV271: set_a] :
( ( ( SV271
= ( SV580 @ SV815 ) )
= $false )
| ( ( ( SV928
!= ( SV952 @ SV815 ) )
| ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3591]) ).
thf(3907,plain,
! [SV581: produc715398134_a_a_e,SV272: ( a > e ) > set_a > $o] :
( ( ( SV272 @ ( sK71_SY2562 @ SV581 @ SV272 ) @ ( sK36_SY1678 @ SV581 @ SV272 ) )
= $true )
| ( ( SV272 @ ( produc317566658_a_a_e @ SV581 ) @ ( produc1040928388_a_a_e @ SV581 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3592]) ).
thf(3908,plain,
! [SV273: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV816: produc715398134_a_a_e] :
( ( ( ( SV816
!= ( produc1134456688_a_a_e @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ ( sK94_SY2566 @ SV273 @ SV582 @ SV816 ) ) )
| ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ ( sK94_SY2566 @ SV273 @ SV582 @ SV816 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3593]) ).
thf(3909,plain,
! [SV275: $o > set_a,SV929: set_a,SV584: $o > set_a,SV817: ( $o > set_a ) > set_a] :
( ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ~ ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) )
| ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3595]) ).
thf(3910,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( ~ ( ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV276 )
| ~ ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV585 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3596]) ).
thf(3911,plain,
! [SV586: set_a,SV277: set_a,SV818: a] :
( ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV277 @ SV586 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3597]) ).
thf(3912,plain,
! [SV586: set_a,SV277: set_a,SV818: a] :
( ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ~ ~ ( member_a @ SV818 @ SV586 )
| ( ord_less_eq_set_a @ SV586 @ SV277 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3598]) ).
thf(3913,plain,
! [SV588: set_set_a,SV279: set_a,SV930: set_a > produc715398134_a_a_e,SV819: produc715398134_a_a_e] :
( ( ( SV819
= ( SV930 @ SV279 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV819 @ ( image_210900495_a_a_e @ SV930 @ SV588 ) )
= $true )
| ( ( member_set_a @ SV279 @ SV588 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3599]) ).
thf(3914,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $false )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3915,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3601]) ).
thf(3916,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $true )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3602]) ).
thf(3917,plain,
! [SV282: produc715398134_a_a_e > set_a] :
( ( ( ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $true )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3603]) ).
thf(3918,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a] :
( ( ( ( sK39_SY1703 @ SV282 )
!= ( SV282 @ SV984 ) )
= $true )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3604]) ).
thf(3919,plain,
! [SV283: set_Pr204296108_a_a_e,SV953: set_set_a > set_a,SV932: produc715398134_a_a_e > set_a,SV821: produc715398134_a_a_e > set_a,SV590: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2546: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2546 @ SV590 )
| ( ( SV821 @ SY2546 )
= ( SV932 @ SY2546 ) ) ) )
= $true )
| ( ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) )
= $true )
| ( ( SV283 = SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3605]) ).
thf(3920,plain,
! [SV284: set_set_a,SV591: set_a > produc715398134_a_a_e,SV822: set_Pr204296108_a_a_e] :
( ( ( member_set_a @ ( sK40_SY2455 @ SV822 @ SV591 @ SV284 ) @ SV284 )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV591 @ SV284 ) @ SV822 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3606]) ).
thf(3921,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3609]) ).
thf(3922,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3609]) ).
thf(3923,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3610]) ).
thf(3924,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3611]) ).
thf(3925,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( SV600 = SV934 )
= $false )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3614]) ).
thf(3926,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $false )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3614]) ).
thf(3927,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3615]) ).
thf(3928,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3616]) ).
thf(3929,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( SV604 = SV935 )
= $false )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3618]) ).
thf(3930,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $false )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3618]) ).
thf(3931,plain,
! [SV605: set_a > set_a,SV298: set_a,SV936: set_set_a,SV833: set_a] :
( ( ( member_set_a @ SV833 @ SV936 )
= $false )
| ( ( member_set_a @ SV298 @ ( image_set_a_set_a @ SV605 @ SV936 ) )
= $true )
| ( ( SV298
= ( SV605 @ SV833 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3619]) ).
thf(3932,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( SV606 = SV937 )
= $false )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3620]) ).
thf(3933,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $false )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3620]) ).
thf(3934,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( SV607 = SV938 )
= $false )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3621]) ).
thf(3935,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $false )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3621]) ).
thf(3936,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3937,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3623]) ).
thf(3938,plain,
! [SV305: set_a,SV611: a > a > e,SV838: set_a_e] :
( ( ( member_a @ ( sK43_SY2463 @ SV838 @ SV611 @ SV305 ) @ SV305 )
= $true )
| ( ( ord_less_eq_set_a_e @ ( image_a_a_e @ SV611 @ SV305 ) @ SV838 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3624]) ).
thf(3939,plain,
! [SV306: set_set_a,SV939: set_set_set_a,SV612: set_set_a,SV839: set_set_a > set_set_set_a] :
( ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ~ ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) )
| ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3626]) ).
thf(3940,plain,
! [SV613: set_a,SV307: set_a > $o,SV940: a > e,SV840: ( a > e ) > $o] :
( ( ( SV840 @ SV940 )
= $false )
| ( ( ~ ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
| ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) ) )
= $true )
| ( ( SV307 @ SV613 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3627]) ).
thf(3941,plain,
! [SV309: set_a,SV615: a > set_a,SV842: set_set_a] :
( ( ( member_a @ ( sK44_SY2468 @ SV842 @ SV615 @ SV309 ) @ SV309 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_a_set_a @ SV615 @ SV309 ) @ SV842 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3628]) ).
thf(3942,plain,
! [SV616: $o > set_a,SV985: $o,SV310: $o > set_a] :
( ( ( ( SV310 @ SV985 )
= ( SV616 @ SV985 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV616 @ SV310 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3630]) ).
thf(3943,plain,
! [SV616: $o > set_a,SV310: $o > set_a] :
( ( ( ( SV310 @ $true )
= ( SV616 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV616 @ SV310 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3630]) ).
thf(3944,plain,
! [SV616: $o > set_a,SV310: $o > set_a] :
( ( ( ( SV310 @ $false )
= ( SV616 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV616 @ SV310 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV310 @ SV616 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3630]) ).
thf(3945,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ( SV312
!= ( produc479206876_set_a @ ( sK74_SY2564 @ SV618 @ SV312 ) @ ( sK45_SY2260 @ SV618 @ SV312 ) ) )
= $false )
| ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3632]) ).
thf(3946,plain,
! [SV312: produc1965228714_set_a,SV618: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK45_SY2260 @ SV618 @ SV312 ) @ ( sK74_SY2564 @ SV618 @ SV312 ) ) @ SV618 ) )
= $false )
| ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3632]) ).
thf(3947,plain,
! [SV621: $o > set_a,SV986: $o,SV315: $o > set_a] :
( ( ( ( SV315 @ SV986 )
= ( SV621 @ SV986 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV621 @ SV315 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3634]) ).
thf(3948,plain,
! [SV621: $o > set_a,SV315: $o > set_a] :
( ( ( ( SV315 @ $true )
= ( SV621 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV621 @ SV315 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3634]) ).
thf(3949,plain,
! [SV621: $o > set_a,SV315: $o > set_a] :
( ( ( ( SV315 @ $false )
= ( SV621 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV621 @ SV315 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV315 @ SV621 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[3634]) ).
thf(3950,plain,
! [SV626: set_set_a,SV320: set_set_a] :
( ( ( ! [SY2269: set_a] :
~ ~ ( ~ ( member_set_a @ SY2269 @ SV320 )
| ~ ~ ( member_set_a @ SY2269 @ SV626 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3638]) ).
thf(3951,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ( ~ ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SV848 @ SV972 ) ) )
= $false )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3639]) ).
thf(3952,plain,
! [SV324: set_Pr204296108_a_a_e,SV630: produc715398134_a_a_e > set_a,SV850: set_set_a,SV942: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) @ SV324 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 )
| ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3641]) ).
thf(3953,plain,
! [SV324: set_Pr204296108_a_a_e,SV850: set_set_a,SV942: produc715398134_a_a_e,SV630: produc715398134_a_a_e > set_a] :
( ( ( member_set_a @ ( SV630 @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) ) @ SV850 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 )
| ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3641]) ).
thf(3954,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $false )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3643]) ).
thf(3955,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3643]) ).
thf(3956,plain,
! [SV634: produc715398134_a_a_e,SV328: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV328 @ ( sK95_SV973 @ SV634 @ SV328 ) )
= ( produc317566658_a_a_e @ SV634 @ ( sK95_SV973 @ SV634 @ SV328 ) ) )
= $false )
| ( ( SV328 = SV634 )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV328 )
= ( produc1040928388_a_a_e @ SV634 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3645]) ).
thf(3957,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3647]) ).
thf(3958,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3648]) ).
thf(3959,plain,
! [SV637: set_a,SV855: set_a > $o,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
| ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 ) )
= $false )
| ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3649]) ).
thf(3960,plain,
! [SV638: set_Pr204296108_a_a_e,SV332: produc715398134_a_a_e,SV944: produc715398134_a_a_e > set_a,SV856: set_a] :
( ( ( SV856
= ( SV944 @ SV332 ) )
= $false )
| ( ( member_set_a @ SV856 @ ( image_64240033_set_a @ SV944 @ SV638 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV332 @ SV638 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3650]) ).
thf(3961,plain,
! [SV333: set_set_a,SV639: set_a > a,SV857: set_a] :
( ( ( member_set_a @ ( sK46_SY2480 @ SV857 @ SV639 @ SV333 ) @ SV333 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV639 @ SV333 ) @ SV857 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3651]) ).
thf(3962,plain,
! [SV858: set_set_a,SV334: set_set_set_a,SV640: set_a > set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK76_SY2481 @ SV640 @ SV334 @ SV858 ) @ SV858 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3653]) ).
thf(3963,plain,
! [SV858: set_set_a,SV640: set_a > set_set_a,SV334: set_set_set_a] :
( ( ( SV334
!= ( image_1930509541_set_a @ SV640 @ ( sK76_SY2481 @ SV640 @ SV334 @ SV858 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3653]) ).
thf(3964,plain,
! [SV335: set_a_e,SV641: ( a > e ) > a,SV859: set_a] :
( ( ( member_a_e @ ( sK47_SY2482 @ SV859 @ SV641 @ SV335 ) @ SV335 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_e_a @ SV641 @ SV335 ) @ SV859 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3654]) ).
thf(3965,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3656]) ).
thf(3966,plain,
! [SV642: set_set_a,SV336: set_a > set_a,SV860: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
| ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3657]) ).
thf(3967,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3658]) ).
thf(3968,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3659]) ).
thf(3969,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3660]) ).
thf(3970,plain,
! [SV644: set_set_a,SV338: set_a > produc715398134_a_a_e,SV862: set_Pr204296108_a_a_e] :
( ( ( ~ ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3661]) ).
thf(3971,plain,
! [SV339: $o > set_a,SV863: $o > set_a,SV645: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV645 @ SV863 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV339 @ SV863 )
= $true )
| ( ( ( SV339 @ ( sK77_SV962 @ SV863 @ SV645 @ SV339 ) )
= ( SV645 @ ( sK77_SV962 @ SV863 @ SV645 @ SV339 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3662]) ).
thf(3972,plain,
! [SV339: $o > set_a,SV863: $o > set_a,SV645: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV645 @ SV863 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV339 @ SV863 )
= $true )
| ( ( SV339 = SV645 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3663]) ).
thf(3973,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) ) )
= $false )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3974,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3975,plain,
! [SV646: set_Pr204296108_a_a_e,SV987: a > e,SV340: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3665]) ).
thf(3976,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $true )
| ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3666]) ).
thf(3977,plain,
! [SV11: set_a,SV341: set_a > $o] :
( ( ( SV341 @ SV11 )
= $true )
| ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3667]) ).
thf(3978,plain,
! [SV341: set_a > $o,SV11: set_a] :
( ( ( member_set_a @ SV11 @ ( collect_set_a @ SV341 ) )
= $true )
| ( ( SV341 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3668]) ).
thf(3979,plain,
! [SV11: set_a,SV341: set_a > $o] :
( ( ( SV341 @ SV11 )
= $true )
| ( ( SV341 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3669]) ).
thf(3980,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3670]) ).
thf(3981,plain,
! [SV12: produc715398134_a_a_e,SV342: produc715398134_a_a_e > $o] :
( ( ( SV342 @ SV12 )
= $true )
| ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3671]) ).
thf(3982,plain,
! [SV342: produc715398134_a_a_e > $o,SV12: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV12 @ ( collec1369693387_a_a_e @ SV342 ) )
= $true )
| ( ( SV342 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3672]) ).
thf(3983,plain,
! [SV12: produc715398134_a_a_e,SV342: produc715398134_a_a_e > $o] :
( ( ( SV342 @ SV12 )
= $true )
| ( ( SV342 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3673]) ).
thf(3984,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $true )
| ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3674]) ).
thf(3985,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $true )
| ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3675]) ).
thf(3986,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( member_set_a @ SV17 @ ( pow_a @ SV344 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3676]) ).
thf(3987,plain,
! [SV344: set_a,SV17: set_a] :
( ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $true )
| ( ( ord_less_eq_set_a @ SV17 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3677]) ).
thf(3988,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3678]) ).
thf(3989,plain,
! [SV647: set_Pr204296108_a_a_e,SV21: a > e,SV346: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3678]) ).
thf(3990,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3679]) ).
thf(3991,plain,
! [SV647: set_Pr204296108_a_a_e,SV21: a > e,SV346: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3679]) ).
thf(3992,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3680]) ).
thf(3993,plain,
! [SV648: set_Pr305929312_set_a,SV22: set_a,SV347: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3680]) ).
thf(3994,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3681]) ).
thf(3995,plain,
! [SV648: set_Pr305929312_set_a,SV22: set_a,SV347: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3681]) ).
thf(3996,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3682]) ).
thf(3997,plain,
! [SV649: set_Pr204296108_a_a_e,SV25: a > e,SV350: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3682]) ).
thf(3998,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3683]) ).
thf(3999,plain,
! [SV649: set_Pr204296108_a_a_e,SV25: a > e,SV350: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3683]) ).
thf(4000,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3684]) ).
thf(4001,plain,
! [SV650: set_Pr305929312_set_a,SV26: set_a,SV351: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3684]) ).
thf(4002,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3685]) ).
thf(4003,plain,
! [SV650: set_Pr305929312_set_a,SV26: set_a,SV351: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3685]) ).
thf(4004,plain,
! [SV358: set_a] :
( ( ( top_top_set_a_o @ SV358 )
= $true )
| ( ( top_top_set_a_o @ SV358 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3690]) ).
thf(4005,plain,
! [SV358: set_a] :
( ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $true )
| ( ( top_top_set_a_o @ SV358 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3691]) ).
thf(4006,plain,
! [SV358: set_a] :
( ( ( top_top_set_a_o @ SV358 )
= $true )
| ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3692]) ).
thf(4007,plain,
! [SV358: set_a] :
( ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $true )
| ( ( member_set_a @ SV358 @ top_top_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3693]) ).
thf(4008,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( top_to2000253225_a_e_o @ SV359 )
= $true )
| ( ( top_to2000253225_a_e_o @ SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3694]) ).
thf(4009,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $true )
| ( ( top_to2000253225_a_e_o @ SV359 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3695]) ).
thf(4010,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( top_to2000253225_a_e_o @ SV359 )
= $true )
| ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3696]) ).
thf(4011,plain,
! [SV359: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $true )
| ( ( member1258382221_a_a_e @ SV359 @ top_to1601855068_a_a_e )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3697]) ).
thf(4012,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
= $false )
| ( ( ~ ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3698]) ).
thf(4013,plain,
! [SV657: set_a,SV48: set_set_a,SV363: a > set_a] :
( ( ( ord_less_eq_set_a @ ( sK48_SY2308 @ SV363 @ SV48 @ SV657 ) @ SV657 )
= $true )
| ( ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3699]) ).
thf(4014,plain,
! [SV657: set_a,SV363: a > set_a,SV48: set_set_a] :
( ( ( SV48
= ( image_a_set_a @ SV363 @ ( sK48_SY2308 @ SV363 @ SV48 @ SV657 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV48 @ ( image_a_set_a @ SV363 @ SV657 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3700]) ).
thf(4015,plain,
! [SV365: set_set_a,SV50: set_set_a,SV659: set_a] :
( ( ( member_set_a @ SV659 @ SV50 )
= $true )
| ( ( ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3701]) ).
thf(4016,plain,
! [SV365: set_set_a,SV50: set_set_a,SV659: set_a] :
( ( ( member_set_a @ SV659 @ SV50 )
= $true )
| ( ( ~ ( member_set_a @ SV659 @ SV365 )
| ( ord_le318720350_set_a @ SV50 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV365 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3702]) ).
thf(4017,plain,
! [SV660: set_set_set_a,SV51: set_set_a,SV366: set_set_a > set_a] :
( ( ( ord_le2103863998_set_a @ ( sK49_SY2309 @ SV366 @ SV51 @ SV660 ) @ SV660 )
= $true )
| ( ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3703]) ).
thf(4018,plain,
! [SV660: set_set_set_a,SV366: set_set_a > set_a,SV51: set_set_a] :
( ( ( SV51
= ( image_402591269_set_a @ SV366 @ ( sK49_SY2309 @ SV366 @ SV51 @ SV660 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV51 @ ( image_402591269_set_a @ SV366 @ SV660 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3704]) ).
thf(4019,plain,
! [SV661: set_Pr305929312_set_a,SV869: set_a > ( a > e ) > $o,SV52: set_a,SV367: a > e] :
( ( ( ! [SY2572: set_a] :
( ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK99_SY2489 @ SV367 @ SV52 @ SV869 @ SV661 ) @ SY2572 ) @ SV661 )
| ( SV869 @ SY2572 @ ( sK99_SY2489 @ SV367 @ SV52 @ SV869 @ SV661 ) ) ) )
= $false )
| ( ( SV869 @ SV52 @ SV367 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3705]) ).
thf(4020,plain,
! [SV368: set_Pr204296108_a_a_e,SV662: set_a > $o,SV53: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK78_SY2313 @ SV53 @ SV662 @ SV368 ) @ ( sK100_SY2567 @ SV368 @ SV662 @ SV53 ) ) @ SV368 )
| ( SV662 @ ( sK78_SY2313 @ SV53 @ SV662 @ SV368 ) ) )
= $false )
| ( ( SV662 @ SV53 )
= $true )
| ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3706]) ).
thf(4021,plain,
! [SV664: set_Pr204296108_a_a_e,SV55: set_set_a,SV370: produc715398134_a_a_e > set_a] :
( ( ( ord_le700723212_a_a_e @ ( sK50_SY2316 @ SV370 @ SV55 @ SV664 ) @ SV664 )
= $true )
| ( ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3708]) ).
thf(4022,plain,
! [SV664: set_Pr204296108_a_a_e,SV370: produc715398134_a_a_e > set_a,SV55: set_set_a] :
( ( ( SV55
= ( image_64240033_set_a @ SV370 @ ( sK50_SY2316 @ SV370 @ SV55 @ SV664 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV55 @ ( image_64240033_set_a @ SV370 @ SV664 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3709]) ).
thf(4023,plain,
! [SV56: set_a] :
( ( ( ord_less_eq_set_a @ a3 @ SV56 )
= $false )
| ( thesis = $true )
| ( ( ord_less_eq_set_a @ a2 @ SV56 )
= $false )
| ( ( ord_less_eq_set_a @ a1 @ SV56 )
= $false )
| ( ( member_set_a @ SV56 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3710]) ).
thf(4024,plain,
! [SV372: set_Pr305929312_set_a,SV59: produc715398134_a_a_e] :
( ( ( SV59
= ( produc1134456688_a_a_e @ ( sK51_SY2561 @ SV372 @ SV59 ) @ ( sK21_SY1878 @ SV372 @ SV59 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3711]) ).
thf(4025,plain,
! [SV59: produc715398134_a_a_e,SV372: set_Pr305929312_set_a] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ ( sK21_SY1878 @ SV372 @ SV59 ) @ ( sK51_SY2561 @ SV372 @ SV59 ) ) @ SV372 )
= $true )
| ( ( member1258382221_a_a_e @ SV59 @ ( converse_a_e_set_a @ SV372 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3712]) ).
thf(4026,plain,
! [SV61: set_a,SV871: $o > set_a,SV374: set_a,SV667: set_a > $o > set_a] :
( ( ( ! [SV988: $o] :
( ( SV667 @ SV374 @ SV988 )
= ( SV871 @ SV988 ) ) )
= $false )
| ( ( ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3713]) ).
thf(4027,plain,
! [SV61: set_a,SV871: $o > set_a,SV374: set_a,SV667: set_a > $o > set_a] :
( ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3713]) ).
thf(4028,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ! [SV989: $o] :
( ( SV377 @ SV989 )
= ( SV872 @ SV989 ) ) )
= $false )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3714]) ).
thf(4029,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $false )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3714]) ).
thf(4030,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $true )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3715]) ).
thf(4031,plain,
! [SV379: set_a,SV873: set_set_set_a,SV66: set_a,SV670: set_a > set_set_set_a] :
( ( ( ~ ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 )
= $true )
| ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3717]) ).
thf(4032,plain,
! [SV70: a > a,SV383: set_a,SV673: set_a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3719]) ).
thf(4033,plain,
! [SV70: a > a,SV383: set_a,SV673: set_a > $o] :
( ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3719]) ).
thf(4034,plain,
! [SV383: set_a,SV673: set_a > $o,SV70: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3720]) ).
thf(4035,plain,
! [SV383: set_a,SV70: a > a,SV673: set_a > $o] :
( ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3720]) ).
thf(4036,plain,
! [SV387: set_a,SV874: set_a,SV74: set_a,SV676: set_a > set_a] :
( ( ( ~ ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3721]) ).
thf(4037,plain,
! [SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ! [SV990: $o] :
( ( SV678 @ SV389 @ SV990 )
= ( SV875 @ SV990 ) ) )
= $false )
| ( ( ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3722]) ).
thf(4038,plain,
! [SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3722]) ).
thf(4039,plain,
! [SV681: $o > set_a,SV876: $o > set_a,SV79: set_Pr204296108_a_a_e,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3723]) ).
thf(4040,plain,
! [SV80: set_set_a,SV393: set_a > set_a,SV682: set_set_a,SV877: set_a] :
( ( ( member_set_a @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) @ SV80 )
= $true )
| ( ( ~ ( member_set_a @ SV877 @ SV80 )
| ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3724]) ).
thf(4041,plain,
! [SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a,SV877: set_a] :
( ( ( ~ ( member_set_a @ SV877 @ SV80 ) )
= $true )
| ( ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) )
= $true )
| ( ( member_set_a @ ( SV393 @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) ) @ SV682 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3725]) ).
thf(4042,plain,
! [SV683: set_a,SV878: set_a,SV81: set_a,SV394: set_a > set_a] :
( ( ( ~ ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3726]) ).
thf(4043,plain,
! [SV687: set_a,SV86: set_a,SV399: a > a] :
( ( ( ord_less_eq_set_a @ ( sK53_SY2341 @ SV399 @ SV86 @ SV687 ) @ SV687 )
= $true )
| ( ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3727]) ).
thf(4044,plain,
! [SV687: set_a,SV399: a > a,SV86: set_a] :
( ( ( SV86
= ( image_a_a @ SV399 @ ( sK53_SY2341 @ SV399 @ SV86 @ SV687 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV86 @ ( image_a_a @ SV399 @ SV687 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3728]) ).
thf(4045,plain,
! [SV879: a > e,SV400: a > e,SV688: set_a,SV87: set_a] :
( ( ( SV87 = SV688 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3729]) ).
thf(4046,plain,
! [SV688: set_a,SV87: set_a,SV879: a > e,SV400: a > e] :
( ( ( SV400 = SV879 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3730]) ).
thf(4047,plain,
! [SV89: set_set_a,SV402: set_a > produc715398134_a_a_e,SV689: set_Pr204296108_a_a_e,SV880: set_a] :
( ( ( member_set_a @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) @ SV89 )
= $true )
| ( ( ~ ( member_set_a @ SV880 @ SV89 )
| ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3731]) ).
thf(4048,plain,
! [SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a,SV880: set_a] :
( ( ( ~ ( member_set_a @ SV880 @ SV89 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV402 @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) ) @ SV689 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3732]) ).
thf(4049,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3734]) ).
thf(4050,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e] :
( ( ( ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3734]) ).
thf(4051,plain,
! [SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a,SV692: set_set_set_a] :
( ( ( ~ ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3735]) ).
thf(4052,plain,
! [SV405: set_se821189730_a_a_e,SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3735]) ).
thf(4053,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $false )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3736]) ).
thf(4054,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) )
= $true )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3737]) ).
thf(4055,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3738]) ).
thf(4056,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a] :
( ( ( ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3738]) ).
thf(4057,plain,
! [SV407: set_a,SV94: a > a,SV694: set_a] :
( ( ( ~ ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3739]) ).
thf(4058,plain,
! [SV407: set_a,SV694: set_a,SV94: a > a] :
( ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3739]) ).
thf(4059,plain,
! [SV95: set_Pr204296108_a_a_e,SV948: set_set_a > set_a,SV883: produc715398134_a_a_e > set_a,SV695: produc715398134_a_a_e > set_a,SV408: set_Pr204296108_a_a_e] :
( ( ( ! [SY2506: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2506 @ SV408 )
| ( ( SV695 @ SY2506 )
= ( SV883 @ SY2506 ) ) ) )
= $false )
| ( ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) )
= $true )
| ( ( SV95 = SV408 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3740]) ).
thf(4060,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(4061,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3742]) ).
thf(4062,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3743]) ).
thf(4063,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3743]) ).
thf(4064,plain,
! [SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a,SV700: set_set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3744]) ).
thf(4065,plain,
! [SV414: set_Pr204296108_a_a_e,SV700: set_set_a,SV102: produc715398134_a_a_e > set_a] :
( ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3744]) ).
thf(4066,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ! [SV991: a] :
( ( produc317566658_a_a_e @ SV104 @ SV991 )
= ( produc317566658_a_a_e @ SV416 @ SV991 ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV104 )
= ( produc1040928388_a_a_e @ SV416 ) )
= $false )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3745]) ).
thf(4067,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV104 )
= ( produc317566658_a_a_e @ SV416 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV104 )
= ( produc1040928388_a_a_e @ SV416 ) )
= $false )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3745]) ).
thf(4068,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 != SV105 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3746]) ).
thf(4069,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 )
| ( SV417 != SV105 ) )
= $false )
| ( ( SV417 = SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3747]) ).
thf(4070,plain,
! [SV418: set_Pr204296108_a_a_e,SV701: ( a > e ) > $o,SV106: a > e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK84_SY2352 @ SV106 @ SV701 @ SV418 ) @ ( sK101_SY2568 @ SV418 @ SV701 @ SV106 ) ) @ SV418 )
| ( SV701 @ ( sK101_SY2568 @ SV418 @ SV701 @ SV106 ) ) )
= $false )
| ( ( SV701 @ SV106 )
= $true )
| ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3748]) ).
thf(4071,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $false )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3749]) ).
thf(4072,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) )
= $true )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3750]) ).
thf(4073,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3751]) ).
thf(4074,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3751]) ).
thf(4075,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV110: a > e] :
( ( ( ~ ~ ! [SY2573: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2573 )
| ( SV422 != SV992 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SY2573 ) @ SV704 ) ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3752]) ).
thf(4076,plain,
! [SV424: produc715398134_a_a_e > set_a,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e,SV949: produc715398134_a_a_e > a > e,SV886: a > e] :
( ( ( SV886
!= ( SV949 @ SV706 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3753]) ).
thf(4077,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3754]) ).
thf(4078,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3754]) ).
thf(4079,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a,SV993: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV993 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SV993 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3755]) ).
thf(4080,plain,
! [SV708: set_Pr204296108_a_a_e,SV887: ( a > e ) > set_a > $o,SV114: a > e,SV426: set_a] :
( ( ( ! [SY2574: a > e] :
( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK102_SY2509 @ SV426 @ SV114 @ SV887 @ SV708 ) @ SY2574 ) @ SV708 )
| ( SV887 @ SY2574 @ ( sK102_SY2509 @ SV426 @ SV114 @ SV887 @ SV708 ) ) ) )
= $false )
| ( ( SV887 @ SV114 @ SV426 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3756]) ).
thf(4081,plain,
! [SV429: set_set_a,SV888: set_set_a,SV117: set_set_a,SV710: set_set_a > set_set_a] :
( ( ( ~ ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 )
= $true )
| ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3758]) ).
thf(4082,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3759]) ).
thf(4083,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) )
= $true )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3760]) ).
thf(4084,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(4085,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(4086,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a,SV994: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV994 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SV994 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3762]) ).
thf(4087,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3766]) ).
thf(4088,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a] :
( ( ( ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3766]) ).
thf(4089,plain,
! [SV435: set_set_a,SV123: set_a > a,SV714: set_a] :
( ( ( ~ ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3767]) ).
thf(4090,plain,
! [SV435: set_set_a,SV714: set_a,SV123: set_a > a] :
( ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3767]) ).
thf(4091,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3768]) ).
thf(4092,plain,
! [SV437: set_a,SV890: set_a] :
( ( ( ~ ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
| ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3769]) ).
thf(4093,plain,
! [SV438: set_a > a > e,SV126: a > e,SV891: set_set_a,SV717: set_a] :
( ( ( ~ ( member_set_a @ SV717 @ SV891 ) )
= $true )
| ( ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) )
= $true )
| ( ( ( SV126 @ ( sK86_SV965 @ SV891 @ SV717 @ SV438 @ SV126 ) )
= ( SV438 @ SV717 @ ( sK86_SV965 @ SV891 @ SV717 @ SV438 @ SV126 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3770]) ).
thf(4094,plain,
! [SV438: set_a > a > e,SV126: a > e,SV891: set_set_a,SV717: set_a] :
( ( ( member_set_a @ SV717 @ SV891 )
= $false )
| ( ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) )
= $true )
| ( ( SV126
= ( SV438 @ SV717 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3771]) ).
thf(4095,plain,
! [SV442: set_a,SV130: set_a,SV719: a] :
( ( ( member_a @ SV719 @ SV130 )
= $true )
| ( ( ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3772]) ).
thf(4096,plain,
! [SV442: set_a,SV130: set_a,SV719: a] :
( ( ( member_a @ SV719 @ SV130 )
= $true )
| ( ( ~ ( member_a @ SV719 @ SV442 )
| ( ord_less_eq_set_a @ SV130 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV442 @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3773]) ).
thf(4097,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $true )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3774]) ).
thf(4098,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $true )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3775]) ).
thf(4099,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV132: set_a] :
( ( ( ~ ! [SY2569: a > e] :
~ ~ ( ( SV132 != SV975 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SY2569 ) @ SV444 ) ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3776]) ).
thf(4100,plain,
! [SV721: set_set_a,SV133: set_set_a,SV445: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( sK55_SY2371 @ SV445 @ SV133 @ SV721 ) @ SV721 )
= $true )
| ( ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3777]) ).
thf(4101,plain,
! [SV721: set_set_a,SV445: set_a > set_a,SV133: set_set_a] :
( ( ( SV133
= ( image_set_a_set_a @ SV445 @ ( sK55_SY2371 @ SV445 @ SV133 @ SV721 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV133 @ ( image_set_a_set_a @ SV445 @ SV721 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3778]) ).
thf(4102,plain,
! [SV135: set_a,SV722: a > e,SV995: a,SV447: a > e] :
( ( ( ( SV447 @ SV995 )
= ( SV722 @ SV995 ) )
= $true )
| ( ( ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV135 @ SV447 ) @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) )
= ( SV722 @ ( sK56_SV960 @ SV722 @ SV447 @ SV135 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3779]) ).
thf(4103,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV137 )
| ~ ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV449 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3783]) ).
thf(4104,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3784]) ).
thf(4105,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ! [SV996: $o] :
( ( SV450 @ SV996 )
= ( SV138 @ SV996 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3785]) ).
thf(4106,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3785]) ).
thf(4107,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $false )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3786]) ).
thf(4108,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) )
= $true )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3787]) ).
thf(4109,plain,
! [SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $true )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3788]) ).
thf(4110,plain,
! [SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $true )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3789]) ).
thf(4111,plain,
! [SV978: a > e,SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false )
| ( ( ~ ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3790]) ).
thf(4112,plain,
! [SV727: set_set_set_a,SV143: set_a,SV455: set_set_a > a] :
( ( ( ord_le2103863998_set_a @ ( sK58_SY2373 @ SV455 @ SV143 @ SV727 ) @ SV727 )
= $true )
| ( ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3791]) ).
thf(4113,plain,
! [SV727: set_set_set_a,SV455: set_set_a > a,SV143: set_a] :
( ( ( SV143
= ( image_set_set_a_a @ SV455 @ ( sK58_SY2373 @ SV455 @ SV143 @ SV727 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV143 @ ( image_set_set_a_a @ SV455 @ SV727 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3792]) ).
thf(4114,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3794]) ).
thf(4115,plain,
! [SV462: set_set_a,SV894: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
| ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3795]) ).
thf(4116,plain,
! [SV736: ( a > e ) > a > e,SV896: set_Pr204296108_a_a_e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) ) @ ( SV736 @ ( sK105_SY2570 @ SV736 @ SV896 @ SV467 @ SV155 ) ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) @ ( sK105_SY2570 @ SV736 @ SV896 @ SV467 @ SV155 ) ) @ SV896 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3798]) ).
thf(4117,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 != SV156 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3799]) ).
thf(4118,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 )
| ( SV468 != SV156 ) )
= $false )
| ( ( SV468 = SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3800]) ).
thf(4119,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV471 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3801]) ).
thf(4120,plain,
! [SV739: set_a,SV160: set_set_set_a,SV472: a > set_set_a] :
( ( ( ord_less_eq_set_a @ ( sK59_SY2380 @ SV472 @ SV160 @ SV739 ) @ SV739 )
= $true )
| ( ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3802]) ).
thf(4121,plain,
! [SV739: set_a,SV472: a > set_set_a,SV160: set_set_set_a] :
( ( ( SV160
= ( image_a_set_set_a @ SV472 @ ( sK59_SY2380 @ SV472 @ SV160 @ SV739 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV160 @ ( image_a_set_set_a @ SV472 @ SV739 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3803]) ).
thf(4122,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3804]) ).
thf(4123,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3805]) ).
thf(4124,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV161: a > e] :
( ( ( ~ ! [SY2571: a > e] :
~ ~ ( ( SV161 != SY2571 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SY2571 ) @ SV473 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3806]) ).
thf(4125,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $false )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3807]) ).
thf(4126,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) )
= $true )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3808]) ).
thf(4127,plain,
! [SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV165: set_set_a,SV477: set_Pr204296108_a_a_e,SV742: set_a_e] :
( ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( ~ ! [SY2555: set_a] :
( ~ ( member_set_a @ SY2555 @ SV165 )
| ! [SY2556: a > e] :
( ~ ( member_a_e @ SY2556 @ SV742 )
| ~ ( SV898 @ SY2555 @ SY2556 )
| ( SV951 @ SY2555 @ SY2556 ) ) )
| ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3809]) ).
thf(4128,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 != SV166 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3810]) ).
thf(4129,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 )
| ( SV478 != SV166 ) )
= $false )
| ( ( SV478 = SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3811]) ).
thf(4130,plain,
! [SV481: set_a,SV899: set_set_a,SV169: set_a,SV744: set_a > set_set_a] :
( ( ( ~ ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 )
= $true )
| ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3812]) ).
thf(4131,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3813]) ).
thf(4132,plain,
! [SV483: set_set_a,SV900: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
| ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3814]) ).
thf(4133,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV176 )
| ~ ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV488 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3817]) ).
thf(4134,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3818]) ).
thf(4135,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3819]) ).
thf(4136,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3820]) ).
thf(4137,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3821]) ).
thf(4138,plain,
! [SV184: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV753: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) @ SV184 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 )
| ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3822]) ).
thf(4139,plain,
! [SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV496 @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) ) @ SV753 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3823]) ).
thf(4140,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(4141,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(4142,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ SV997 @ SV754 )
| ( SV185
!= ( SV497 @ SV997 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3825]) ).
thf(4143,plain,
! [SV755: $o > set_a,SV903: $o > set_a,SV186: set_set_a,SV498: ( $o > set_a ) > set_set_a] :
( ( ( ~ ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3826]) ).
thf(4144,plain,
! [SV757: set_Pr204296108_a_a_e,SV188: set_a,SV500: a > e,SV904: a > e] :
( ( ( ! [SV998: a] :
( ( SV904 @ SV998 )
= ( SV500 @ SV998 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3827]) ).
thf(4145,plain,
! [SV757: set_Pr204296108_a_a_e,SV188: set_a,SV500: a > e,SV904: a > e] :
( ( ( SV904 = SV500 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[3827]) ).
thf(4146,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV190 )
| ~ ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV502 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3828]) ).
thf(4147,plain,
! [SV504: set_Pr204296108_a_a_e,SV760: produc715398134_a_a_e > set_a,SV905: produc715398134_a_a_e > set_a,SV192: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK108_SY2526 @ SV192 @ SV905 @ SV760 @ SV504 ) @ SV504 )
| ( ( SV760 @ ( sK108_SY2526 @ SV192 @ SV905 @ SV760 @ SV504 ) )
= ( SV905 @ ( sK108_SY2526 @ SV192 @ SV905 @ SV760 @ SV504 ) ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) )
= $true )
| ( ( SV192 = SV504 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3829]) ).
thf(4148,plain,
! [SV761: $o > set_a,SV193: $o > set_a,SV505: $o > set_a] :
( ( ( ( SV505 @ ( sK109_SV980 @ SV193 @ SV761 @ SV505 ) )
= ( SV761 @ ( sK109_SV980 @ SV193 @ SV761 @ SV505 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV761 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV193 @ SV505 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3830]) ).
thf(4149,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3832]) ).
thf(4150,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3832]) ).
thf(4151,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a,SV999: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV999 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SV999 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3833]) ).
thf(4152,plain,
! [SV199: produc715398134_a_a_e > set_a,SV511: set_Pr204296108_a_a_e,SV765: set_set_a > $o] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3834]) ).
thf(4153,plain,
! [SV199: produc715398134_a_a_e > set_a,SV511: set_Pr204296108_a_a_e,SV765: set_set_a > $o] :
( ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3834]) ).
thf(4154,plain,
! [SV511: set_Pr204296108_a_a_e,SV765: set_set_a > $o,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(4155,plain,
! [SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o] :
( ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(4156,plain,
! [SV203: produc715398134_a_a_e > set_a,SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV1000: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1000 @ SV515 )
| ( SV769 @ ( SV203 @ SV1000 ) ) )
= $true )
| ( ( member_set_a @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) @ ( image_64240033_set_a @ SV203 @ SV515 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3836]) ).
thf(4157,plain,
! [SV203: produc715398134_a_a_e > set_a,SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV981: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV981 @ SV515 ) )
= $true )
| ( ( SV769 @ ( SV203 @ SV981 ) )
= $true )
| ( ( SV769 @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3837]) ).
thf(4158,plain,
! [SV204: set_set_a,SV516: set_set_a,SV770: set_a] :
( ( ( ~ ~ ( member_set_a @ SV770 @ SV516 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $true )
| ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ord_le318720350_set_a @ SV204 @ SV516 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3838]) ).
thf(4159,plain,
! [SV204: set_set_a,SV516: set_set_a,SV770: set_a] :
( ( ( ~ ~ ( member_set_a @ SV770 @ SV516 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $true )
| ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3839]) ).
thf(4160,plain,
! [SV518: set_set_set_a,SV906: set_a,SV206: set_set_set_a,SV771: set_set_set_a > set_a] :
( ( ( ~ ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 )
= $true )
| ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3840]) ).
thf(4161,plain,
! [SV773: set_set_a,SV209: set_a,SV521: set_a > a] :
( ( ( ord_le318720350_set_a @ ( sK64_SY2409 @ SV521 @ SV209 @ SV773 ) @ SV773 )
= $true )
| ( ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3842]) ).
thf(4162,plain,
! [SV773: set_set_a,SV521: set_a > a,SV209: set_a] :
( ( ( SV209
= ( image_set_a_a @ SV521 @ ( sK64_SY2409 @ SV521 @ SV209 @ SV773 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV209 @ ( image_set_a_a @ SV521 @ SV773 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3843]) ).
thf(4163,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ~ ~ ( ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV211 )
| ~ ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV523 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3844]) ).
thf(4164,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3845]) ).
thf(4165,plain,
! [SV525: set_Pr204296108_a_a_e,SV908: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
| ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3846]) ).
thf(4166,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $false )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3847]) ).
thf(4167,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) )
= $true )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3848]) ).
thf(4168,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3849]) ).
thf(4169,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
= $false )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3850]) ).
thf(4170,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3850]) ).
thf(4171,plain,
! [SV216: a > e,SV982: set_a,SV528: produc715398134_a_a_e] :
( ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false )
| ( ( ~ ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3851]) ).
thf(4172,plain,
! [SV217: set_Pr204296108_a_a_e,SV529: set_Pr204296108_a_a_e,SV777: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV777 @ SV529 ) )
= $true )
| ( ( SV217 != SV529 )
= $true )
| ( ( member1258382221_a_a_e @ SV777 @ SV217 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV217 @ SV529 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3852]) ).
thf(4173,plain,
! [SV219: set_set_a,SV531: set_set_a,SV779: set_a] :
( ( ( ~ ( member_set_a @ SV779 @ SV531 ) )
= $true )
| ( ( SV219 != SV531 )
= $true )
| ( ( member_set_a @ SV779 @ SV219 )
= $true )
| ( ( ord_le318720350_set_a @ SV219 @ SV531 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3853]) ).
thf(4174,plain,
! [SV533: set_a,SV221: set_a > $o] :
( ( ( SV221 @ ( sK65_SY2119 @ SV533 @ SV221 ) )
= $true )
| ( ( ( order_Greatest_set_a @ SV221 )
= SV533 )
= $true )
| ( ( SV221 @ SV533 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3854]) ).
thf(4175,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3857]) ).
thf(4176,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3857]) ).
thf(4177,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a,SV1001: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV1001 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SV1001 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3858]) ).
thf(4178,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $false )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3859]) ).
thf(4179,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) )
= $true )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3860]) ).
thf(4180,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV227 )
| ~ ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV539 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3861]) ).
thf(4181,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $false )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3862]) ).
thf(4182,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) )
= $true )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3863]) ).
thf(4183,plain,
! [SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV786 @ SV913 ) )
= $true )
| ( ( ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3864]) ).
thf(4184,plain,
! [SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3865]) ).
thf(4185,plain,
! [SV787: set_Pr204296108_a_a_e,SV231: set_a,SV543: produc715398134_a_a_e > set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) @ SV787 )
| ( SV231
!= ( SV543 @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) ) ) )
= $false )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3866]) ).
thf(4186,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3867]) ).
thf(4187,plain,
! [SV545: set_a,SV914: set_a] :
( ( ( ~ ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
| ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3868]) ).
thf(4188,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $false )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3870]) ).
thf(4189,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) )
= $true )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3871]) ).
thf(4190,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $false )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3872]) ).
thf(4191,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) )
= $true )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3873]) ).
thf(4192,plain,
( ( ~ ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3874]) ).
thf(4193,plain,
( ( ord_less_eq_set_a @ a2 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3875]) ).
thf(4194,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3877]) ).
thf(4195,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ( SV244 != SV796 )
| ( SV555 != SV919 ) )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3878]) ).
thf(4196,plain,
! [SV559: set_a,SV921: set_a,SV249: set_a,SV800: set_a > set_a] :
( ( ( ~ ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 )
= $true )
| ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3879]) ).
thf(4197,plain,
! [SV250: set_Pr204296108_a_a_e,SV560: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $true )
| ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3880]) ).
thf(4198,plain,
! [SV250: set_Pr204296108_a_a_e,SV560: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ SV801 @ SV560 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $true )
| ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3881]) ).
thf(4199,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3882]) ).
thf(4200,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3882]) ).
thf(4201,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SV1002 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3883]) ).
thf(4202,plain,
! [SV562: set_set_a,SV922: set_a,SV252: set_set_a,SV803: set_set_a > set_a] :
( ( ( ~ ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 )
= $true )
| ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3884]) ).
thf(4203,plain,
! [SV804: $o > set_a,SV923: $o > set_a,SV253: set_set_set_a,SV563: ( $o > set_a ) > set_set_set_a] :
( ( ( ~ ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3885]) ).
thf(4204,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 != SV255 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3886]) ).
thf(4205,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 )
| ( SV565 != SV255 ) )
= $false )
| ( ( SV565 = SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3887]) ).
thf(4206,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $true )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3889]) ).
thf(4207,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $true )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3890]) ).
thf(4208,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e,SV983: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3891]) ).
thf(4209,plain,
! [SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV806 @ SV261 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3892]) ).
thf(4210,plain,
! [SV570: set_Pr204296108_a_a_e,SV261: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV806 @ SV261 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 )
| ( ord_le700723212_a_a_e @ SV261 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV570 @ SV261 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3893]) ).
thf(4211,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3894]) ).
thf(4212,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3894]) ).
thf(4213,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a,SV1003: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV1003 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SV1003 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3895]) ).
thf(4214,plain,
! [SV809: set_a,SV925: set_a,SV264: set_a,SV573: set_a > set_a] :
( ( ( ~ ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3896]) ).
thf(4215,plain,
! [SV265: set_a,SV574: set_a,SV810: a] :
( ( ( ~ ( member_a @ SV810 @ SV574 ) )
= $true )
| ( ( SV265 != SV574 )
= $true )
| ( ( member_a @ SV810 @ SV265 )
= $true )
| ( ( ord_less_eq_set_a @ SV265 @ SV574 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3897]) ).
thf(4216,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV266 )
| ~ ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV575 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3898]) ).
thf(4217,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3899]) ).
thf(4218,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ( SV267 != SV811 )
| ( SV576 != SV926 ) )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3900]) ).
thf(4219,plain,
! [SV577: a > a > e,SV268: a > e,SV927: set_a,SV812: a] :
( ( ( ~ ( member_a @ SV812 @ SV927 ) )
= $true )
| ( ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) )
= $true )
| ( ( ( SV268 @ ( sK92_SV969 @ SV927 @ SV812 @ SV577 @ SV268 ) )
= ( SV577 @ SV812 @ ( sK92_SV969 @ SV927 @ SV812 @ SV577 @ SV268 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3901]) ).
thf(4220,plain,
! [SV577: a > a > e,SV268: a > e,SV927: set_a,SV812: a] :
( ( ( member_a @ SV812 @ SV927 )
= $false )
| ( ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) )
= $true )
| ( ( SV268
= ( SV577 @ SV812 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3902]) ).
thf(4221,plain,
! [SV269: set_a,SV578: set_a > ( a > e ) > set_set_a,SV813: produc715398134_a_a_e] :
( ( ( SV813
!= ( produc1134456688_a_a_e @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ ( sK93_SY2565 @ SV269 @ SV578 @ SV813 ) ) )
= $false )
| ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3903]) ).
thf(4222,plain,
! [SV813: produc715398134_a_a_e,SV578: set_a > ( a > e ) > set_set_a,SV269: set_a] :
( ( ( ~ ( member_set_a @ SV269 @ ( SV578 @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ ( sK93_SY2565 @ SV269 @ SV578 @ SV813 ) ) ) )
= $false )
| ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3903]) ).
thf(4223,plain,
! [SV814: set_set_set_a,SV270: set_set_set_a,SV579: set_set_a > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( sK70_SY2441 @ SV579 @ SV270 @ SV814 ) @ SV814 )
= $true )
| ( ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3904]) ).
thf(4224,plain,
! [SV814: set_set_set_a,SV579: set_set_a > set_set_a,SV270: set_set_set_a] :
( ( ( SV270
= ( image_1956910981_set_a @ SV579 @ ( sK70_SY2441 @ SV579 @ SV270 @ SV814 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV270 @ ( image_1956910981_set_a @ SV579 @ SV814 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3905]) ).
thf(4225,plain,
! [SV580: set_a > set_a,SV271: set_a,SV961: set_set_a,SV815: set_a,SV952: set_a > a > e,SV928: a > e] :
( ( ( SV928
!= ( SV952 @ SV815 ) )
= $true )
| ( ( ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3906]) ).
thf(4226,plain,
! [SV273: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV816: produc715398134_a_a_e] :
( ( ( SV816
!= ( produc1134456688_a_a_e @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ ( sK94_SY2566 @ SV273 @ SV582 @ SV816 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3908]) ).
thf(4227,plain,
! [SV816: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV273: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV273 @ ( SV582 @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ ( sK94_SY2566 @ SV273 @ SV582 @ SV816 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3908]) ).
thf(4228,plain,
! [SV584: $o > set_a,SV929: set_a,SV275: $o > set_a,SV817: ( $o > set_a ) > set_a] :
( ( ( ~ ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 )
= $true )
| ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3909]) ).
thf(4229,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV276 )
| ~ ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV585 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3910]) ).
thf(4230,plain,
! [SV277: set_a,SV586: set_a,SV818: a] :
( ( ( ~ ~ ( member_a @ SV818 @ SV586 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $true )
| ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ord_less_eq_set_a @ SV277 @ SV586 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3911]) ).
thf(4231,plain,
! [SV277: set_a,SV586: set_a,SV818: a] :
( ( ( ~ ~ ( member_a @ SV818 @ SV586 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $true )
| ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3912]) ).
thf(4232,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ! [SV1004: $o] :
( ( SV589 @ SV1004 )
= ( SV931 @ SV1004 ) ) )
= $false )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3914]) ).
thf(4233,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $false )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3914]) ).
thf(4234,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $true )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3915]) ).
thf(4235,plain,
! [SV282: produc715398134_a_a_e > set_a,SV1005: set_a] :
( ( ( ~ ! [SY2575: produc715398134_a_a_e] :
( SV1005
!= ( SV282 @ SY2575 ) ) )
= $true )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3917]) ).
thf(4236,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a] :
( ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false )
| ( ( ~ ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3918]) ).
thf(4237,plain,
! [SV283: set_Pr204296108_a_a_e,SV953: set_set_a > set_a,SV932: produc715398134_a_a_e > set_a,SV821: produc715398134_a_a_e > set_a,SV590: set_Pr204296108_a_a_e] :
( ( ( ! [SY2546: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2546 @ SV590 )
| ( ( SV821 @ SY2546 )
= ( SV932 @ SY2546 ) ) ) )
= $false )
| ( ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) )
= $true )
| ( ( SV283 = SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3919]) ).
thf(4238,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3921]) ).
thf(4239,plain,
! [SV594: set_Pr204296108_a_a_e,SV933: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
| ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3922]) ).
thf(4240,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3923]) ).
thf(4241,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3923]) ).
thf(4242,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV288: set_a] :
( ( ( ~ ~ ! [SY2576: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2576 )
| ( SV595 != SV1006 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SY2576 ) @ SV825 ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3924]) ).
thf(4243,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $false )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3925]) ).
thf(4244,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) )
= $true )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3926]) ).
thf(4245,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3927]) ).
thf(4246,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3927]) ).
thf(4247,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV1007 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SV1007 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3928]) ).
thf(4248,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $false )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3929]) ).
thf(4249,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) )
= $true )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3930]) ).
thf(4250,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $false )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3932]) ).
thf(4251,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) )
= $true )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3933]) ).
thf(4252,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $false )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3934]) ).
thf(4253,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) )
= $true )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3935]) ).
thf(4254,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3936]) ).
thf(4255,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3936]) ).
thf(4256,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a,SV1008: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV1008 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SV1008 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3937]) ).
thf(4257,plain,
! [SV612: set_set_a,SV939: set_set_set_a,SV306: set_set_a,SV839: set_set_a > set_set_set_a] :
( ( ( ~ ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 )
= $true )
| ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3939]) ).
thf(4258,plain,
! [SV840: ( a > e ) > $o,SV940: a > e,SV613: set_a,SV307: set_a > $o] :
( ( ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
| ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) )
= $false )
| ( ( SV840 @ SV940 )
= $false )
| ( ( SV307 @ SV613 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3940]) ).
thf(4259,plain,
! [SV618: set_Pr204296108_a_a_e,SV312: produc1965228714_set_a] :
( ( ( SV312
= ( produc479206876_set_a @ ( sK74_SY2564 @ SV618 @ SV312 ) @ ( sK45_SY2260 @ SV618 @ SV312 ) ) )
= $true )
| ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3945]) ).
thf(4260,plain,
! [SV312: produc1965228714_set_a,SV618: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK45_SY2260 @ SV618 @ SV312 ) @ ( sK74_SY2564 @ SV618 @ SV312 ) ) @ SV618 )
= $true )
| ( ( member360729153_set_a @ SV312 @ ( converse_set_a_a_e @ SV618 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3946]) ).
thf(4261,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ~ ~ ( ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV320 )
| ~ ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV626 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3950]) ).
thf(4262,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
| ~ ( SV848 @ SV972 ) )
= $true )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3951]) ).
thf(4263,plain,
! [SV324: set_Pr204296108_a_a_e,SV630: produc715398134_a_a_e > set_a,SV850: set_set_a,SV942: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) @ SV324 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 )
| ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3952]) ).
thf(4264,plain,
! [SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e,SV942: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 ) )
= $true )
| ( ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) )
= $true )
| ( ( member_set_a @ ( SV630 @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) ) @ SV850 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3953]) ).
thf(4265,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ! [SV1009: $o] :
( ( SV632 @ SV1009 )
= ( SV943 @ SV1009 ) ) )
= $false )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3954]) ).
thf(4266,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $false )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3954]) ).
thf(4267,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $true )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3955]) ).
thf(4268,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3957]) ).
thf(4269,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3957]) ).
thf(4270,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a,SV1010: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV1010 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SV1010 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3958]) ).
thf(4271,plain,
! [SV637: set_a,SV855: set_a > $o,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) ) )
= $false )
| ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3959]) ).
thf(4272,plain,
! [SV331: set_a > $o,SV637: set_a,SV855: set_a > $o] :
( ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3959]) ).
thf(4273,plain,
! [SV858: set_set_a,SV334: set_set_set_a,SV640: set_a > set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK76_SY2481 @ SV640 @ SV334 @ SV858 ) @ SV858 )
= $true )
| ( ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3962]) ).
thf(4274,plain,
! [SV858: set_set_a,SV640: set_a > set_set_a,SV334: set_set_set_a] :
( ( ( SV334
= ( image_1930509541_set_a @ SV640 @ ( sK76_SY2481 @ SV640 @ SV334 @ SV858 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV334 @ ( image_1930509541_set_a @ SV640 @ SV858 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3963]) ).
thf(4275,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3965]) ).
thf(4276,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a] :
( ( ( ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3965]) ).
thf(4277,plain,
! [SV642: set_set_a,SV336: set_a > set_a,SV860: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3966]) ).
thf(4278,plain,
! [SV642: set_set_a,SV860: set_set_a,SV336: set_a > set_a] :
( ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3966]) ).
thf(4279,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3967]) ).
thf(4280,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3967]) ).
thf(4281,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a,SV1011: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV1011 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SV1011 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3968]) ).
thf(4282,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3969]) ).
thf(4283,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a] :
( ( ( ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3969]) ).
thf(4284,plain,
! [SV644: set_set_a,SV338: set_a > produc715398134_a_a_e,SV862: set_Pr204296108_a_a_e] :
( ( ( ~ ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3970]) ).
thf(4285,plain,
! [SV644: set_set_a,SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3970]) ).
thf(4286,plain,
! [SV339: $o > set_a,SV863: $o > set_a,SV645: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV645 @ SV863 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV339 @ SV863 )
= $true )
| ( ( ( SV339 @ ( sK77_SV962 @ SV863 @ SV645 @ SV339 ) )
= ( SV645 @ ( sK77_SV962 @ SV863 @ SV645 @ SV339 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3971]) ).
thf(4287,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $true )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3973]) ).
thf(4288,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $true )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3974]) ).
thf(4289,plain,
! [SV646: set_Pr204296108_a_a_e,SV987: a > e,SV340: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3975]) ).
thf(4290,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3988]) ).
thf(4291,plain,
! [SV647: set_Pr204296108_a_a_e,SV21: a > e,SV346: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3989]) ).
thf(4292,plain,
! [SV647: set_Pr204296108_a_a_e,SV346: set_a,SV21: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV21 @ SV346 ) @ ( image_1875450791_set_a @ produc755714512_a_a_e @ SV647 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3990]) ).
thf(4293,plain,
! [SV647: set_Pr204296108_a_a_e,SV21: a > e,SV346: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV346 @ SV21 ) @ SV647 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3991]) ).
thf(4294,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3992]) ).
thf(4295,plain,
! [SV648: set_Pr305929312_set_a,SV22: set_a,SV347: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3993]) ).
thf(4296,plain,
! [SV648: set_Pr305929312_set_a,SV347: a > e,SV22: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV22 @ SV347 ) @ ( image_376979367_a_a_e @ produc100464700_set_a @ SV648 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3994]) ).
thf(4297,plain,
! [SV648: set_Pr305929312_set_a,SV22: set_a,SV347: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV347 @ SV22 ) @ SV648 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3995]) ).
thf(4298,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3996]) ).
thf(4299,plain,
! [SV649: set_Pr204296108_a_a_e,SV25: a > e,SV350: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3997]) ).
thf(4300,plain,
! [SV649: set_Pr204296108_a_a_e,SV350: set_a,SV25: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV25 @ SV350 ) @ ( converse_set_a_a_e @ SV649 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3998]) ).
thf(4301,plain,
! [SV649: set_Pr204296108_a_a_e,SV25: a > e,SV350: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV350 @ SV25 ) @ SV649 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3999]) ).
thf(4302,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4000]) ).
thf(4303,plain,
! [SV650: set_Pr305929312_set_a,SV26: set_a,SV351: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4001]) ).
thf(4304,plain,
! [SV650: set_Pr305929312_set_a,SV351: a > e,SV26: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV26 @ SV351 ) @ ( converse_a_e_set_a @ SV650 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4002]) ).
thf(4305,plain,
! [SV650: set_Pr305929312_set_a,SV26: set_a,SV351: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV351 @ SV26 ) @ SV650 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4003]) ).
thf(4306,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $false )
| ( ( ~ ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4307,plain,
! [SV362: set_Pr204296108_a_a_e,SV957: a > e,SV868: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $false )
| ( ( ~ ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4308,plain,
! [SV50: set_set_a,SV365: set_set_a,SV659: set_a] :
( ( ( ~ ( member_set_a @ SV659 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $true )
| ( ( member_set_a @ SV659 @ SV50 )
= $true )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4015]) ).
thf(4309,plain,
! [SV50: set_set_a,SV365: set_set_a,SV659: set_a] :
( ( ( ~ ( member_set_a @ SV659 @ SV365 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $true )
| ( ( member_set_a @ SV659 @ SV50 )
= $true )
| ( ( ord_le318720350_set_a @ SV365 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4016]) ).
thf(4310,plain,
! [SV661: set_Pr305929312_set_a,SV869: set_a > ( a > e ) > $o,SV52: set_a,SV367: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK99_SY2489 @ SV367 @ SV52 @ SV869 @ SV661 ) @ ( sK115_SY2572 @ SV661 @ SV869 @ SV52 @ SV367 ) ) @ SV661 )
| ( SV869 @ ( sK115_SY2572 @ SV661 @ SV869 @ SV52 @ SV367 ) @ ( sK99_SY2489 @ SV367 @ SV52 @ SV869 @ SV661 ) ) )
= $false )
| ( ( SV869 @ SV52 @ SV367 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4019]) ).
thf(4311,plain,
! [SV368: set_Pr204296108_a_a_e,SV662: set_a > $o,SV53: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK78_SY2313 @ SV53 @ SV662 @ SV368 ) @ ( sK100_SY2567 @ SV368 @ SV662 @ SV53 ) ) @ SV368 ) )
= $false )
| ( ( SV662 @ SV53 )
= $true )
| ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4020]) ).
thf(4312,plain,
! [SV368: set_Pr204296108_a_a_e,SV53: set_a,SV662: set_a > $o] :
( ( ( SV662 @ ( sK78_SY2313 @ SV53 @ SV662 @ SV368 ) )
= $false )
| ( ( SV662 @ SV53 )
= $true )
| ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4020]) ).
thf(4313,plain,
! [SV871: $o > set_a,SV61: set_a,SV374: set_a,SV667: set_a > $o > set_a] :
( ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4026]) ).
thf(4314,plain,
! [SV374: set_a,SV871: $o > set_a,SV61: set_a,SV667: set_a > $o > set_a] :
( ( ( ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4027]) ).
thf(4315,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4028]) ).
thf(4316,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4029]) ).
thf(4317,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $true )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4030]) ).
thf(4318,plain,
! [SV379: set_a,SV873: set_set_set_a,SV66: set_a,SV670: set_a > set_set_set_a] :
( ( ( ! [SY2322: set_a,SY2323: set_a] :
( ~ ( ord_less_eq_set_a @ SY2322 @ SY2323 )
| ( ord_le2103863998_set_a @ ( SV670 @ SY2322 ) @ ( SV670 @ SY2323 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 )
= $true )
| ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4031]) ).
thf(4319,plain,
! [SV70: a > a,SV383: set_a,SV673: set_a > $o] :
( ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4032]) ).
thf(4320,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4033]) ).
thf(4321,plain,
! [SV383: set_a,SV673: set_a > $o,SV70: a > a] :
( ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true )
| ( ( ~ ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4034]) ).
thf(4322,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4035]) ).
thf(4323,plain,
! [SV387: set_a,SV874: set_a,SV74: set_a,SV676: set_a > set_a] :
( ( ( ! [SY2328: set_a,SY2329: set_a] :
( ~ ( ord_less_eq_set_a @ SY2328 @ SY2329 )
| ( ord_less_eq_set_a @ ( SV676 @ SY2328 ) @ ( SV676 @ SY2329 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4036]) ).
thf(4324,plain,
! [SV875: $o > set_a,SV76: set_set_a,SV389: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4037]) ).
thf(4325,plain,
! [SV389: set_set_a,SV875: $o > set_a,SV76: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4038]) ).
thf(4326,plain,
! [SV681: $o > set_a,SV876: $o > set_a,SV79: set_Pr204296108_a_a_e,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e] :
( ( ( ! [SY1914: $o > set_a,SY1915: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY1914 @ SY1915 )
| ( ord_le700723212_a_a_e @ ( SV392 @ SY1914 ) @ ( SV392 @ SY1915 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4039]) ).
thf(4327,plain,
! [SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a,SV877: set_a] :
( ( ( ~ ( member_set_a @ SV877 @ SV80 ) )
= $true )
| ( ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) )
= $true )
| ( ( member_set_a @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4040]) ).
thf(4328,plain,
! [SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a,SV877: set_a] :
( ( ( member_set_a @ SV877 @ SV80 )
= $false )
| ( ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) )
= $true )
| ( ( member_set_a @ ( SV393 @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) ) @ SV682 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4041]) ).
thf(4329,plain,
! [SV683: set_a,SV878: set_a,SV81: set_a,SV394: set_a > set_a] :
( ( ( ! [SY1921: set_a,SY1922: set_a] :
( ~ ( ord_less_eq_set_a @ SY1921 @ SY1922 )
| ( ord_less_eq_set_a @ ( SV394 @ SY1921 ) @ ( SV394 @ SY1922 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4042]) ).
thf(4330,plain,
! [SV688: set_a,SV87: set_a,SV879: a > e,SV400: a > e] :
( ( ( ! [SV1012: a] :
( ( SV400 @ SV1012 )
= ( SV879 @ SV1012 ) ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4046]) ).
thf(4331,plain,
! [SV688: set_a,SV87: set_a,SV879: a > e,SV400: a > e] :
( ( ( SV400 = SV879 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4046]) ).
thf(4332,plain,
! [SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a,SV880: set_a] :
( ( ( ~ ( member_set_a @ SV880 @ SV89 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) )
= $true )
| ( ( member_set_a @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4047]) ).
thf(4333,plain,
! [SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a,SV880: set_a] :
( ( ( member_set_a @ SV880 @ SV89 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV402 @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) ) @ SV689 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4048]) ).
thf(4334,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4049]) ).
thf(4335,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e] :
( ( ( ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4050]) ).
thf(4336,plain,
! [SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a,SV692: set_set_set_a] :
( ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4051]) ).
thf(4337,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4052]) ).
thf(4338,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( SV406 != SV882 )
= $false )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4053]) ).
thf(4339,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $false )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4053]) ).
thf(4340,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) )
= $true )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4054]) ).
thf(4341,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4055]) ).
thf(4342,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a] :
( ( ( ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4056]) ).
thf(4343,plain,
! [SV407: set_a,SV94: a > a,SV694: set_a] :
( ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4057]) ).
thf(4344,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4058]) ).
thf(4345,plain,
! [SV408: set_Pr204296108_a_a_e,SV695: produc715398134_a_a_e > set_a,SV883: produc715398134_a_a_e > set_a,SV948: set_set_a > set_a,SV95: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK119_SY2506 @ SV95 @ SV948 @ SV883 @ SV695 @ SV408 ) @ SV408 )
| ( ( SV695 @ ( sK119_SY2506 @ SV95 @ SV948 @ SV883 @ SV695 @ SV408 ) )
= ( SV883 @ ( sK119_SY2506 @ SV95 @ SV948 @ SV883 @ SV695 @ SV408 ) ) ) )
= $false )
| ( ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) )
= $true )
| ( ( SV95 = SV408 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4059]) ).
thf(4346,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4060]) ).
thf(4347,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4060]) ).
thf(4348,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4061]) ).
thf(4349,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4062]) ).
thf(4350,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e] :
( ( ( ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4063]) ).
thf(4351,plain,
! [SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a,SV700: set_set_a] :
( ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4064]) ).
thf(4352,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4065]) ).
thf(4353,plain,
! [SV416: produc715398134_a_a_e,SV104: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV104 @ ( sK120_SV991 @ SV416 @ SV104 ) )
= ( produc317566658_a_a_e @ SV416 @ ( sK120_SV991 @ SV416 @ SV104 ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV104 )
= ( produc1040928388_a_a_e @ SV416 ) )
= $false )
| ( ( SV104 = SV416 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4066]) ).
thf(4354,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4068]) ).
thf(4355,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( SV417 != SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4068]) ).
thf(4356,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV417 @ SV105 ) )
= $false )
| ( ( SV417 = SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4069]) ).
thf(4357,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( SV417 != SV105 )
= $false )
| ( ( SV417 = SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4069]) ).
thf(4358,plain,
! [SV418: set_Pr204296108_a_a_e,SV701: ( a > e ) > $o,SV106: a > e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK84_SY2352 @ SV106 @ SV701 @ SV418 ) @ ( sK101_SY2568 @ SV418 @ SV701 @ SV106 ) ) @ SV418 ) )
= $false )
| ( ( SV701 @ SV106 )
= $true )
| ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4070]) ).
thf(4359,plain,
! [SV106: a > e,SV418: set_Pr204296108_a_a_e,SV701: ( a > e ) > $o] :
( ( ( SV701 @ ( sK101_SY2568 @ SV418 @ SV701 @ SV106 ) )
= $false )
| ( ( SV701 @ SV106 )
= $true )
| ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4070]) ).
thf(4360,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( SV421 != SV885 )
= $false )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4071]) ).
thf(4361,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $false )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4071]) ).
thf(4362,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) )
= $true )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4072]) ).
thf(4363,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4073]) ).
thf(4364,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4074]) ).
thf(4365,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2573: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2573 )
| ( SV422 != SV992 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SY2573 ) @ SV704 ) ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4075]) ).
thf(4366,plain,
! [SV424: produc715398134_a_a_e > set_a,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e,SV949: produc715398134_a_a_e > a > e,SV886: a > e] :
( ( ( SV886
= ( SV949 @ SV706 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4076]) ).
thf(4367,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4077]) ).
thf(4368,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4078]) ).
thf(4369,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a,SV993: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV993 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SV993 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4079]) ).
thf(4370,plain,
! [SV708: set_Pr204296108_a_a_e,SV887: ( a > e ) > set_a > $o,SV114: a > e,SV426: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK102_SY2509 @ SV426 @ SV114 @ SV887 @ SV708 ) @ ( sK121_SY2574 @ SV708 @ SV887 @ SV114 @ SV426 ) ) @ SV708 )
| ( SV887 @ ( sK121_SY2574 @ SV708 @ SV887 @ SV114 @ SV426 ) @ ( sK102_SY2509 @ SV426 @ SV114 @ SV887 @ SV708 ) ) )
= $false )
| ( ( SV887 @ SV114 @ SV426 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4080]) ).
thf(4371,plain,
! [SV429: set_set_a,SV888: set_set_a,SV117: set_set_a,SV710: set_set_a > set_set_a] :
( ( ( ! [SY2365: set_set_a,SY2366: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2365 @ SY2366 )
| ( ord_le318720350_set_a @ ( SV710 @ SY2365 ) @ ( SV710 @ SY2366 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 )
= $true )
| ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4081]) ).
thf(4372,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 != SV889 )
= $false )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4082]) ).
thf(4373,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4082]) ).
thf(4374,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
= $true )
| ( ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4083]) ).
thf(4375,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4084]) ).
thf(4376,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4085]) ).
thf(4377,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a,SV994: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV994 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SV994 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4086]) ).
thf(4378,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4087]) ).
thf(4379,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a] :
( ( ( ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4088]) ).
thf(4380,plain,
! [SV435: set_set_a,SV123: set_a > a,SV714: set_a] :
( ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4089]) ).
thf(4381,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4090]) ).
thf(4382,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4091]) ).
thf(4383,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4091]) ).
thf(4384,plain,
! [SV437: set_a,SV890: set_a] :
( ( ( ~ ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4092]) ).
thf(4385,plain,
! [SV437: set_a,SV890: set_a] :
( ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4092]) ).
thf(4386,plain,
! [SV438: set_a > a > e,SV126: a > e,SV891: set_set_a,SV717: set_a] :
( ( ( member_set_a @ SV717 @ SV891 )
= $false )
| ( ( member_a_e @ SV126 @ ( image_set_a_a_e @ SV438 @ SV891 ) )
= $true )
| ( ( ( SV126 @ ( sK86_SV965 @ SV891 @ SV717 @ SV438 @ SV126 ) )
= ( SV438 @ SV717 @ ( sK86_SV965 @ SV891 @ SV717 @ SV438 @ SV126 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4093]) ).
thf(4387,plain,
! [SV130: set_a,SV442: set_a,SV719: a] :
( ( ( ~ ( member_a @ SV719 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $true )
| ( ( member_a @ SV719 @ SV130 )
= $true )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4095]) ).
thf(4388,plain,
! [SV130: set_a,SV442: set_a,SV719: a] :
( ( ( ~ ( member_a @ SV719 @ SV442 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $true )
| ( ( member_a @ SV719 @ SV130 )
= $true )
| ( ( ord_less_eq_set_a @ SV442 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4096]) ).
thf(4389,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4098]) ).
thf(4390,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV132: set_a] :
( ( ( ! [SY2569: a > e] :
~ ~ ( ( SV132 != SV975 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SY2569 ) @ SV444 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4099]) ).
thf(4391,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV137 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4103]) ).
thf(4392,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( ~ ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV449 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4103]) ).
thf(4393,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4104]) ).
thf(4394,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 != SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4104]) ).
thf(4395,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4105]) ).
thf(4396,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) )
= $false )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4106]) ).
thf(4397,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( SV453 != SV893 )
= $false )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4107]) ).
thf(4398,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $false )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4107]) ).
thf(4399,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) )
= $true )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4108]) ).
thf(4400,plain,
! [SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4110]) ).
thf(4401,plain,
! [SV978: a > e,SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
| ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4111]) ).
thf(4402,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4114]) ).
thf(4403,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4114]) ).
thf(4404,plain,
! [SV462: set_set_a,SV894: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4115]) ).
thf(4405,plain,
! [SV462: set_set_a,SV894: set_set_a] :
( ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4115]) ).
thf(4406,plain,
! [SV736: ( a > e ) > a > e,SV896: set_Pr204296108_a_a_e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ( SV155
!= ( produc1134456688_a_a_e @ ( SV467 @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) ) @ ( SV736 @ ( sK105_SY2570 @ SV736 @ SV896 @ SV467 @ SV155 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4116]) ).
thf(4407,plain,
! [SV155: produc715398134_a_a_e,SV467: set_a > set_a,SV736: ( a > e ) > a > e,SV896: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) @ ( sK105_SY2570 @ SV736 @ SV896 @ SV467 @ SV155 ) ) @ SV896 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4116]) ).
thf(4408,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4117]) ).
thf(4409,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( SV468 != SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4117]) ).
thf(4410,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV468 @ SV156 ) )
= $false )
| ( ( SV468 = SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4118]) ).
thf(4411,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( SV468 != SV156 )
= $false )
| ( ( SV468 = SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4118]) ).
thf(4412,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV471 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4119]) ).
thf(4413,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4123]) ).
thf(4414,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV161: a > e] :
( ( ( ! [SY2571: a > e] :
~ ~ ( ( SV161 != SY2571 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SY2571 ) @ SV473 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4124]) ).
thf(4415,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( SV474 != SV897 )
= $false )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4125]) ).
thf(4416,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $false )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4125]) ).
thf(4417,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) )
= $true )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4126]) ).
thf(4418,plain,
! [SV477: set_Pr204296108_a_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV742: set_a_e,SV165: set_set_a] :
( ( ( ~ ! [SY2555: set_a] :
( ~ ( member_set_a @ SY2555 @ SV165 )
| ! [SY2556: a > e] :
( ~ ( member_a_e @ SY2556 @ SV742 )
| ~ ( SV898 @ SY2555 @ SY2556 )
| ( SV951 @ SY2555 @ SY2556 ) ) ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4127]) ).
thf(4419,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4128]) ).
thf(4420,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( SV478 != SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4128]) ).
thf(4421,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV478 @ SV166 ) )
= $false )
| ( ( SV478 = SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4129]) ).
thf(4422,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( SV478 != SV166 )
= $false )
| ( ( SV478 = SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4129]) ).
thf(4423,plain,
! [SV481: set_a,SV899: set_set_a,SV169: set_a,SV744: set_a > set_set_a] :
( ( ( ! [SY2386: set_a,SY2387: set_a] :
( ~ ( ord_less_eq_set_a @ SY2386 @ SY2387 )
| ( ord_le318720350_set_a @ ( SV744 @ SY2386 ) @ ( SV744 @ SY2387 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 )
= $true )
| ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4130]) ).
thf(4424,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4131]) ).
thf(4425,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4131]) ).
thf(4426,plain,
! [SV483: set_set_a,SV900: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4132]) ).
thf(4427,plain,
! [SV483: set_set_a,SV900: set_set_a] :
( ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4132]) ).
thf(4428,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV176 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4133]) ).
thf(4429,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( ~ ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV488 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4133]) ).
thf(4430,plain,
! [SV489: a > $o,SV1013: a,SV177: a > $o] :
( ( ( ~ ( SV177 @ SV1013 )
| ( SV489 @ SV1013 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4135]) ).
thf(4431,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
| ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4136]) ).
thf(4432,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) ) )
= $false )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4137]) ).
thf(4433,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4137]) ).
thf(4434,plain,
! [SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV902 @ SV184 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) @ SV184 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4138]) ).
thf(4435,plain,
! [SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV902 @ SV184 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV496 @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) ) @ SV753 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4139]) ).
thf(4436,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $true )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4140]) ).
thf(4437,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $true )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4141]) ).
thf(4438,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ SV997 @ SV754 )
| ( SV185
!= ( SV497 @ SV997 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4142]) ).
thf(4439,plain,
! [SV755: $o > set_a,SV903: $o > set_a,SV186: set_set_a,SV498: ( $o > set_a ) > set_set_a] :
( ( ( ! [SY2069: $o > set_a,SY2070: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2069 @ SY2070 )
| ( ord_le318720350_set_a @ ( SV498 @ SY2069 ) @ ( SV498 @ SY2070 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4143]) ).
thf(4440,plain,
! [SV500: a > e,SV188: set_a,SV757: set_Pr204296108_a_a_e,SV904: a > e] :
( ( ( ( SV904 @ ( sK123_SV998 @ SV757 @ SV188 @ SV500 @ SV904 ) )
= ( SV500 @ ( sK123_SV998 @ SV757 @ SV188 @ SV500 @ SV904 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV904 ) @ SV757 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV188 @ SV500 ) @ SV757 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4144]) ).
thf(4441,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV190 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4146]) ).
thf(4442,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV502 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4146]) ).
thf(4443,plain,
! [SV504: set_Pr204296108_a_a_e,SV760: produc715398134_a_a_e > set_a,SV905: produc715398134_a_a_e > set_a,SV192: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK108_SY2526 @ SV192 @ SV905 @ SV760 @ SV504 ) @ SV504 ) )
= $false )
| ( ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) )
= $true )
| ( ( SV192 = SV504 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4147]) ).
thf(4444,plain,
! [SV504: set_Pr204296108_a_a_e,SV905: produc715398134_a_a_e > set_a,SV192: set_Pr204296108_a_a_e,SV760: produc715398134_a_a_e > set_a] :
( ( ( ( SV760 @ ( sK108_SY2526 @ SV192 @ SV905 @ SV760 @ SV504 ) )
= ( SV905 @ ( sK108_SY2526 @ SV192 @ SV905 @ SV760 @ SV504 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) )
= $true )
| ( ( SV192 = SV504 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4147]) ).
thf(4445,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4149]) ).
thf(4446,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4150]) ).
thf(4447,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a,SV999: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV999 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SV999 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4151]) ).
thf(4448,plain,
! [SV199: produc715398134_a_a_e > set_a,SV511: set_Pr204296108_a_a_e,SV765: set_set_a > $o] :
( ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4152]) ).
thf(4449,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4153]) ).
thf(4450,plain,
! [SV511: set_Pr204296108_a_a_e,SV765: set_set_a > $o,SV199: produc715398134_a_a_e > set_a] :
( ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true )
| ( ( ~ ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4154]) ).
thf(4451,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4155]) ).
thf(4452,plain,
! [SV203: produc715398134_a_a_e > set_a,SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV1000: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1000 @ SV515 ) )
= $true )
| ( ( SV769 @ ( SV203 @ SV1000 ) )
= $true )
| ( ( member_set_a @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) @ ( image_64240033_set_a @ SV203 @ SV515 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4156]) ).
thf(4453,plain,
! [SV203: produc715398134_a_a_e > set_a,SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV981: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV981 @ SV515 )
= $false )
| ( ( SV769 @ ( SV203 @ SV981 ) )
= $true )
| ( ( SV769 @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4157]) ).
thf(4454,plain,
! [SV204: set_set_a,SV516: set_set_a,SV770: set_a] :
( ( ( ~ ( member_set_a @ SV770 @ SV516 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $true )
| ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ord_le318720350_set_a @ SV204 @ SV516 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4158]) ).
thf(4455,plain,
! [SV204: set_set_a,SV516: set_set_a,SV770: set_a] :
( ( ( ~ ( member_set_a @ SV770 @ SV516 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $true )
| ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4159]) ).
thf(4456,plain,
! [SV518: set_set_set_a,SV906: set_a,SV206: set_set_set_a,SV771: set_set_set_a > set_a] :
( ( ( ! [SY2406: set_set_set_a,SY2407: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ SY2406 @ SY2407 )
| ( ord_less_eq_set_a @ ( SV771 @ SY2406 ) @ ( SV771 @ SY2407 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 )
= $true )
| ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4160]) ).
thf(4457,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ~ ( ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV211 )
| ~ ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV523 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4163]) ).
thf(4458,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4164]) ).
thf(4459,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4164]) ).
thf(4460,plain,
! [SV525: set_Pr204296108_a_a_e,SV908: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4165]) ).
thf(4461,plain,
! [SV525: set_Pr204296108_a_a_e,SV908: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4165]) ).
thf(4462,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( SV526 != SV909 )
= $false )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4166]) ).
thf(4463,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $false )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4166]) ).
thf(4464,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) )
= $true )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4167]) ).
thf(4465,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
= $false )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4168]) ).
thf(4466,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4168]) ).
thf(4467,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $true )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4169]) ).
thf(4468,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $true )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4170]) ).
thf(4469,plain,
! [SV982: set_a,SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
| ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4171]) ).
thf(4470,plain,
! [SV217: set_Pr204296108_a_a_e,SV529: set_Pr204296108_a_a_e,SV777: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV777 @ SV529 )
= $false )
| ( ( SV217 != SV529 )
= $true )
| ( ( member1258382221_a_a_e @ SV777 @ SV217 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV217 @ SV529 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4172]) ).
thf(4471,plain,
! [SV219: set_set_a,SV531: set_set_a,SV779: set_a] :
( ( ( member_set_a @ SV779 @ SV531 )
= $false )
| ( ( SV219 != SV531 )
= $true )
| ( ( member_set_a @ SV779 @ SV219 )
= $true )
| ( ( ord_le318720350_set_a @ SV219 @ SV531 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4173]) ).
thf(4472,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4175]) ).
thf(4473,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4176]) ).
thf(4474,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a,SV1001: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV1001 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SV1001 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4177]) ).
thf(4475,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( SV537 != SV911 )
= $false )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4178]) ).
thf(4476,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $false )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4178]) ).
thf(4477,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) )
= $true )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4179]) ).
thf(4478,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV227 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4180]) ).
thf(4479,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV539 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4180]) ).
thf(4480,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( SV540 != SV912 )
= $false )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4181]) ).
thf(4481,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $false )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4181]) ).
thf(4482,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) )
= $true )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4182]) ).
thf(4483,plain,
! [SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) )
| ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) ) )
= $true )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4183]) ).
thf(4484,plain,
! [SV786: $o > set_a,SV913: $o > set_a,SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a] :
( ( ( ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4184]) ).
thf(4485,plain,
! [SV787: set_Pr204296108_a_a_e,SV231: set_a,SV543: produc715398134_a_a_e > set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) @ SV787 ) )
= $false )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4185]) ).
thf(4486,plain,
! [SV787: set_Pr204296108_a_a_e,SV543: produc715398134_a_a_e > set_a,SV231: set_a] :
( ( ( SV231
!= ( SV543 @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) ) )
= $false )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4185]) ).
thf(4487,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4186]) ).
thf(4488,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4186]) ).
thf(4489,plain,
! [SV545: set_a,SV914: set_a] :
( ( ( ~ ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4187]) ).
thf(4490,plain,
! [SV545: set_a,SV914: set_a] :
( ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4187]) ).
thf(4491,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( SV547 != SV916 )
= $false )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4188]) ).
thf(4492,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $false )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4188]) ).
thf(4493,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) )
= $true )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4189]) ).
thf(4494,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( SV549 != SV917 )
= $false )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4190]) ).
thf(4495,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $false )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4190]) ).
thf(4496,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) )
= $true )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4191]) ).
thf(4497,plain,
( ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4192]) ).
thf(4498,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4194]) ).
thf(4499,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4194]) ).
thf(4500,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 != SV796 )
= $true )
| ( ( SV555 != SV919 )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4195]) ).
thf(4501,plain,
! [SV559: set_a,SV921: set_a,SV249: set_a,SV800: set_a > set_a] :
( ( ( ! [SY2423: set_a,SY2424: set_a] :
( ~ ( ord_less_eq_set_a @ SY2423 @ SY2424 )
| ( ord_less_eq_set_a @ ( SV800 @ SY2423 ) @ ( SV800 @ SY2424 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 )
= $true )
| ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4196]) ).
thf(4502,plain,
! [SV250: set_Pr204296108_a_a_e,SV560: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV560 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $true )
| ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4197]) ).
thf(4503,plain,
! [SV250: set_Pr204296108_a_a_e,SV560: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV801 @ SV560 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $true )
| ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4198]) ).
thf(4504,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4199]) ).
thf(4505,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4200]) ).
thf(4506,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SV1002 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4201]) ).
thf(4507,plain,
! [SV562: set_set_a,SV922: set_a,SV252: set_set_a,SV803: set_set_a > set_a] :
( ( ( ! [SY2427: set_set_a,SY2428: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2427 @ SY2428 )
| ( ord_less_eq_set_a @ ( SV803 @ SY2427 ) @ ( SV803 @ SY2428 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 )
= $true )
| ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4202]) ).
thf(4508,plain,
! [SV804: $o > set_a,SV923: $o > set_a,SV253: set_set_set_a,SV563: ( $o > set_a ) > set_set_set_a] :
( ( ( ! [SY2170: $o > set_a,SY2171: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2170 @ SY2171 )
| ( ord_le2103863998_set_a @ ( SV563 @ SY2170 ) @ ( SV563 @ SY2171 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4203]) ).
thf(4509,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4204]) ).
thf(4510,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( SV565 != SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4204]) ).
thf(4511,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV565 @ SV255 ) )
= $false )
| ( ( SV565 = SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4205]) ).
thf(4512,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( SV565 != SV255 )
= $false )
| ( ( SV565 = SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4205]) ).
thf(4513,plain,
! [SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4207]) ).
thf(4514,plain,
! [SV983: set_a,SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
| ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4208]) ).
thf(4515,plain,
! [SV261: set_Pr204296108_a_a_e,SV570: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $true )
| ( ( member1258382221_a_a_e @ SV806 @ SV261 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4209]) ).
thf(4516,plain,
! [SV261: set_Pr204296108_a_a_e,SV570: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV806 @ SV570 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $true )
| ( ( member1258382221_a_a_e @ SV806 @ SV261 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV570 @ SV261 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4210]) ).
thf(4517,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4211]) ).
thf(4518,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4212]) ).
thf(4519,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a,SV1003: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV1003 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SV1003 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4213]) ).
thf(4520,plain,
! [SV809: set_a,SV925: set_a,SV264: set_a,SV573: set_a > set_a] :
( ( ( ! [SY2182: set_a,SY2183: set_a] :
( ~ ( ord_less_eq_set_a @ SY2182 @ SY2183 )
| ( ord_less_eq_set_a @ ( SV573 @ SY2182 ) @ ( SV573 @ SY2183 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4214]) ).
thf(4521,plain,
! [SV265: set_a,SV574: set_a,SV810: a] :
( ( ( member_a @ SV810 @ SV574 )
= $false )
| ( ( SV265 != SV574 )
= $true )
| ( ( member_a @ SV810 @ SV265 )
= $true )
| ( ( ord_less_eq_set_a @ SV265 @ SV574 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4215]) ).
thf(4522,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV266 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4216]) ).
thf(4523,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( ~ ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV575 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4216]) ).
thf(4524,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4217]) ).
thf(4525,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4217]) ).
thf(4526,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 != SV811 )
= $true )
| ( ( SV576 != SV926 )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4218]) ).
thf(4527,plain,
! [SV577: a > a > e,SV268: a > e,SV927: set_a,SV812: a] :
( ( ( member_a @ SV812 @ SV927 )
= $false )
| ( ( member_a_e @ SV268 @ ( image_a_a_e @ SV577 @ SV927 ) )
= $true )
| ( ( ( SV268 @ ( sK92_SV969 @ SV927 @ SV812 @ SV577 @ SV268 ) )
= ( SV577 @ SV812 @ ( sK92_SV969 @ SV927 @ SV812 @ SV577 @ SV268 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4219]) ).
thf(4528,plain,
! [SV269: set_a,SV578: set_a > ( a > e ) > set_set_a,SV813: produc715398134_a_a_e] :
( ( ( SV813
= ( produc1134456688_a_a_e @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ ( sK93_SY2565 @ SV269 @ SV578 @ SV813 ) ) )
= $true )
| ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4221]) ).
thf(4529,plain,
! [SV813: produc715398134_a_a_e,SV578: set_a > ( a > e ) > set_set_a,SV269: set_a] :
( ( ( member_set_a @ SV269 @ ( SV578 @ ( sK69_SY2439 @ SV578 @ SV269 @ SV813 ) @ ( sK93_SY2565 @ SV269 @ SV578 @ SV813 ) ) )
= $true )
| ( ( member_set_a @ SV269 @ ( produc1620938593_set_a @ SV578 @ SV813 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4222]) ).
thf(4530,plain,
! [SV580: set_a > set_a,SV271: set_a,SV961: set_set_a,SV815: set_a,SV952: set_a > a > e,SV928: a > e] :
( ( ( SV928
= ( SV952 @ SV815 ) )
= $false )
| ( ( ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4225]) ).
thf(4531,plain,
! [SV273: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV816: produc715398134_a_a_e] :
( ( ( SV816
= ( produc1134456688_a_a_e @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ ( sK94_SY2566 @ SV273 @ SV582 @ SV816 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4226]) ).
thf(4532,plain,
! [SV816: produc715398134_a_a_e,SV582: set_a > ( a > e ) > set_Pr204296108_a_a_e,SV273: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV273 @ ( SV582 @ ( sK72_SY2445 @ SV582 @ SV273 @ SV816 ) @ ( sK94_SY2566 @ SV273 @ SV582 @ SV816 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV273 @ ( produc1096319049_a_a_e @ SV582 @ SV816 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4227]) ).
thf(4533,plain,
! [SV584: $o > set_a,SV929: set_a,SV275: $o > set_a,SV817: ( $o > set_a ) > set_a] :
( ( ( ! [SY2448: $o > set_a,SY2449: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2448 @ SY2449 )
| ( ord_less_eq_set_a @ ( SV817 @ SY2448 ) @ ( SV817 @ SY2449 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 )
= $true )
| ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4228]) ).
thf(4534,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV276 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4229]) ).
thf(4535,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( ~ ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV585 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4229]) ).
thf(4536,plain,
! [SV277: set_a,SV586: set_a,SV818: a] :
( ( ( ~ ( member_a @ SV818 @ SV586 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $true )
| ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ord_less_eq_set_a @ SV277 @ SV586 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4230]) ).
thf(4537,plain,
! [SV277: set_a,SV586: set_a,SV818: a] :
( ( ( ~ ( member_a @ SV818 @ SV586 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $true )
| ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4231]) ).
thf(4538,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4232]) ).
thf(4539,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4233]) ).
thf(4540,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $true )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4234]) ).
thf(4541,plain,
! [SV282: produc715398134_a_a_e > set_a,SV1005: set_a] :
( ( ( ! [SY2575: produc715398134_a_a_e] :
( SV1005
!= ( SV282 @ SY2575 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4235]) ).
thf(4542,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a] :
( ( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
| ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $false )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4236]) ).
thf(4543,plain,
! [SV590: set_Pr204296108_a_a_e,SV821: produc715398134_a_a_e > set_a,SV932: produc715398134_a_a_e > set_a,SV953: set_set_a > set_a,SV283: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK125_SY2546 @ SV283 @ SV953 @ SV932 @ SV821 @ SV590 ) @ SV590 )
| ( ( SV821 @ ( sK125_SY2546 @ SV283 @ SV953 @ SV932 @ SV821 @ SV590 ) )
= ( SV932 @ ( sK125_SY2546 @ SV283 @ SV953 @ SV932 @ SV821 @ SV590 ) ) ) )
= $false )
| ( ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) )
= $true )
| ( ( SV283 = SV590 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4237]) ).
thf(4544,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4238]) ).
thf(4545,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4238]) ).
thf(4546,plain,
! [SV594: set_Pr204296108_a_a_e,SV933: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 ) )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4239]) ).
thf(4547,plain,
! [SV594: set_Pr204296108_a_a_e,SV933: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4239]) ).
thf(4548,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4240]) ).
thf(4549,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4241]) ).
thf(4550,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2576: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2576 )
| ( SV595 != SV1006 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SY2576 ) @ SV825 ) ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4242]) ).
thf(4551,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( SV600 != SV934 )
= $false )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4243]) ).
thf(4552,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $false )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4243]) ).
thf(4553,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) )
= $true )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4244]) ).
thf(4554,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4245]) ).
thf(4555,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4246]) ).
thf(4556,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV1007 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SV1007 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4247]) ).
thf(4557,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( SV604 != SV935 )
= $false )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4248]) ).
thf(4558,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $false )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4248]) ).
thf(4559,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 ) )
= $true )
| ( ( ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) )
= $true )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4249]) ).
thf(4560,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( SV606 != SV937 )
= $false )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4250]) ).
thf(4561,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $false )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4250]) ).
thf(4562,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) )
= $true )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4251]) ).
thf(4563,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( SV607 != SV938 )
= $false )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4252]) ).
thf(4564,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $false )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4252]) ).
thf(4565,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 ) )
= $true )
| ( ( ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) )
= $true )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4253]) ).
thf(4566,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4254]) ).
thf(4567,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4255]) ).
thf(4568,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a,SV1008: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV1008 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SV1008 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4256]) ).
thf(4569,plain,
! [SV612: set_set_a,SV939: set_set_set_a,SV306: set_set_a,SV839: set_set_a > set_set_set_a] :
( ( ( ! [SY2465: set_set_a,SY2466: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2465 @ SY2466 )
| ( ord_le2103863998_set_a @ ( SV839 @ SY2465 ) @ ( SV839 @ SY2466 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 )
= $true )
| ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4257]) ).
thf(4570,plain,
! [SV840: ( a > e ) > $o,SV940: a > e,SV613: set_a,SV307: set_a > $o] :
( ( ( ~ ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) )
= $false )
| ( ( SV840 @ SV940 )
= $false )
| ( ( SV307 @ SV613 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4258]) ).
thf(4571,plain,
! [SV307: set_a > $o,SV940: a > e,SV613: set_a,SV840: ( a > e ) > $o] :
( ( ( ~ ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) ) )
= $false )
| ( ( SV840 @ SV940 )
= $false )
| ( ( SV307 @ SV613 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4258]) ).
thf(4572,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ~ ( ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV320 )
| ~ ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV626 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4261]) ).
thf(4573,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) ) )
= $true )
| ( ( ~ ( SV848 @ SV972 ) )
= $true )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4262]) ).
thf(4574,plain,
! [SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e,SV942: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV942 @ SV324 ) )
= $true )
| ( ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) @ SV324 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4263]) ).
thf(4575,plain,
! [SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e,SV942: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV942 @ SV324 )
= $false )
| ( ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) )
= $true )
| ( ( member_set_a @ ( SV630 @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) ) @ SV850 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4264]) ).
thf(4576,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4265]) ).
thf(4577,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4266]) ).
thf(4578,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 ) )
= $true )
| ( ( ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $true )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4267]) ).
thf(4579,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4268]) ).
thf(4580,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4269]) ).
thf(4581,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a,SV1010: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV1010 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SV1010 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4270]) ).
thf(4582,plain,
! [SV637: set_a,SV855: set_a > $o,SV331: set_a > $o] :
( ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) )
| ( SV855 @ ( order_Greatest_set_a @ SV331 ) ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4271]) ).
thf(4583,plain,
! [SV637: set_a,SV855: set_a > $o,SV331: set_a > $o] :
( ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4272]) ).
thf(4584,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4275]) ).
thf(4585,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a] :
( ( ( ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4276]) ).
thf(4586,plain,
! [SV642: set_set_a,SV336: set_a > set_a,SV860: set_set_a] :
( ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4277]) ).
thf(4587,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4278]) ).
thf(4588,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4279]) ).
thf(4589,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4280]) ).
thf(4590,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a,SV1011: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV1011 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SV1011 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4281]) ).
thf(4591,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4282]) ).
thf(4592,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a] :
( ( ( ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4283]) ).
thf(4593,plain,
! [SV644: set_set_a,SV338: set_a > produc715398134_a_a_e,SV862: set_Pr204296108_a_a_e] :
( ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4284]) ).
thf(4594,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4285]) ).
thf(4595,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4288]) ).
thf(4596,plain,
! [SV987: a > e,SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
| ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4289]) ).
thf(4597,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
= $false )
| ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4306]) ).
thf(4598,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4307]) ).
thf(4599,plain,
! [SV50: set_set_a,SV365: set_set_a,SV659: set_a] :
( ( ( member_set_a @ SV659 @ SV365 )
= $false )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $true )
| ( ( member_set_a @ SV659 @ SV50 )
= $true )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4308]) ).
thf(4600,plain,
! [SV50: set_set_a,SV365: set_set_a,SV659: set_a] :
( ( ( member_set_a @ SV659 @ SV365 )
= $false )
| ( ( ord_le318720350_set_a @ SV50 @ SV365 )
= $true )
| ( ( member_set_a @ SV659 @ SV50 )
= $true )
| ( ( ord_le318720350_set_a @ SV365 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4309]) ).
thf(4601,plain,
! [SV661: set_Pr305929312_set_a,SV869: set_a > ( a > e ) > $o,SV52: set_a,SV367: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK99_SY2489 @ SV367 @ SV52 @ SV869 @ SV661 ) @ ( sK115_SY2572 @ SV661 @ SV869 @ SV52 @ SV367 ) ) @ SV661 ) )
= $false )
| ( ( SV869 @ SV52 @ SV367 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4310]) ).
thf(4602,plain,
! [SV367: a > e,SV52: set_a,SV661: set_Pr305929312_set_a,SV869: set_a > ( a > e ) > $o] :
( ( ( SV869 @ ( sK115_SY2572 @ SV661 @ SV869 @ SV52 @ SV367 ) @ ( sK99_SY2489 @ SV367 @ SV52 @ SV869 @ SV661 ) )
= $false )
| ( ( SV869 @ SV52 @ SV367 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4310]) ).
thf(4603,plain,
! [SV368: set_Pr204296108_a_a_e,SV662: set_a > $o,SV53: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK78_SY2313 @ SV53 @ SV662 @ SV368 ) @ ( sK100_SY2567 @ SV368 @ SV662 @ SV53 ) ) @ SV368 )
= $true )
| ( ( SV662 @ SV53 )
= $true )
| ( ( member_set_a @ SV53 @ ( domain_set_a_a_e @ SV368 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4311]) ).
thf(4604,plain,
! [SV374: set_a,SV871: $o > set_a,SV61: set_a,SV667: set_a > $o > set_a] :
( ( ( ~ ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4313]) ).
thf(4605,plain,
! [SV374: set_a,SV871: $o > set_a,SV61: set_a,SV667: set_a > $o > set_a] :
( ( ( ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4314]) ).
thf(4606,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4315]) ).
thf(4607,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 != SV872 )
= $false )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4316]) ).
thf(4608,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4316]) ).
thf(4609,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $true )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4317]) ).
thf(4610,plain,
! [SV670: set_a > set_set_set_a,SV66: set_a,SV873: set_set_set_a,SV379: set_a] :
( ( ( ! [SY2577: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK127_SY2322 @ SV379 @ SV873 @ SV66 @ SV670 ) @ SY2577 )
| ( ord_le2103863998_set_a @ ( SV670 @ ( sK127_SY2322 @ SV379 @ SV873 @ SV66 @ SV670 ) ) @ ( SV670 @ SY2577 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 )
= $true )
| ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4318]) ).
thf(4611,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4319]) ).
thf(4612,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $false )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4320]) ).
thf(4613,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4320]) ).
thf(4614,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) )
| ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4321]) ).
thf(4615,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $false )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4322]) ).
thf(4616,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4322]) ).
thf(4617,plain,
! [SV676: set_a > set_a,SV74: set_a,SV874: set_a,SV387: set_a] :
( ( ( ! [SY2578: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK128_SY2328 @ SV387 @ SV874 @ SV74 @ SV676 ) @ SY2578 )
| ( ord_less_eq_set_a @ ( SV676 @ ( sK128_SY2328 @ SV387 @ SV874 @ SV74 @ SV676 ) ) @ ( SV676 @ SY2578 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4323]) ).
thf(4618,plain,
! [SV389: set_set_a,SV875: $o > set_a,SV76: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ~ ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4324]) ).
thf(4619,plain,
! [SV389: set_set_a,SV875: $o > set_a,SV76: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4325]) ).
thf(4620,plain,
! [SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e,SV876: $o > set_a,SV681: $o > set_a] :
( ( ( ! [SY2579: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ ( sK129_SY1914 @ SV681 @ SV876 @ SV79 @ SV392 ) @ SY2579 )
| ( ord_le700723212_a_a_e @ ( SV392 @ ( sK129_SY1914 @ SV681 @ SV876 @ SV79 @ SV392 ) ) @ ( SV392 @ SY2579 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4326]) ).
thf(4621,plain,
! [SV682: set_set_a,SV393: set_a > set_a,SV80: set_set_a,SV877: set_a] :
( ( ( member_set_a @ SV877 @ SV80 )
= $false )
| ( ( member_set_a @ ( SV393 @ SV877 ) @ ( image_set_a_set_a @ SV393 @ SV80 ) )
= $true )
| ( ( member_set_a @ ( sK52_SY2337 @ SV877 @ SV682 @ SV393 @ SV80 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4327]) ).
thf(4622,plain,
! [SV394: set_a > set_a,SV81: set_a,SV878: set_a,SV683: set_a] :
( ( ( ! [SY2580: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK130_SY1921 @ SV683 @ SV878 @ SV81 @ SV394 ) @ SY2580 )
| ( ord_less_eq_set_a @ ( SV394 @ ( sK130_SY1921 @ SV683 @ SV878 @ SV81 @ SV394 ) ) @ ( SV394 @ SY2580 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4329]) ).
thf(4623,plain,
! [SV688: set_a,SV87: set_a,SV879: a > e,SV1014: a,SV400: a > e] :
( ( ( ( SV400 @ SV1014 )
= ( SV879 @ SV1014 ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV87 @ SV400 )
= ( produc1134456688_a_a_e @ SV688 @ SV879 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4330]) ).
thf(4624,plain,
! [SV689: set_Pr204296108_a_a_e,SV402: set_a > produc715398134_a_a_e,SV89: set_set_a,SV880: set_a] :
( ( ( member_set_a @ SV880 @ SV89 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV402 @ SV880 ) @ ( image_210900495_a_a_e @ SV402 @ SV89 ) )
= $true )
| ( ( member_set_a @ ( sK54_SY2344 @ SV880 @ SV689 @ SV402 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4332]) ).
thf(4625,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1015: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1437121347_a_a_e @ SV1015 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SV1015 ) @ SV692 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4335]) ).
thf(4626,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
| ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4336]) ).
thf(4627,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 ) )
= $false )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4337]) ).
thf(4628,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e] :
( ( ( ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4337]) ).
thf(4629,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( SV406 = SV882 )
= $true )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4338]) ).
thf(4630,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $true )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4339]) ).
thf(4631,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) )
= $true )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4340]) ).
thf(4632,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1016: a] :
( ( ( ~ ( member_a @ SV1016 @ SV407 )
| ( member_a @ ( SV94 @ SV1016 ) @ SV694 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4342]) ).
thf(4633,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
| ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4343]) ).
thf(4634,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 ) )
= $false )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4344]) ).
thf(4635,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a] :
( ( ( ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4344]) ).
thf(4636,plain,
! [SV408: set_Pr204296108_a_a_e,SV695: produc715398134_a_a_e > set_a,SV883: produc715398134_a_a_e > set_a,SV948: set_set_a > set_a,SV95: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK119_SY2506 @ SV95 @ SV948 @ SV883 @ SV695 @ SV408 ) @ SV408 ) )
= $false )
| ( ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) )
= $true )
| ( ( SV95 = SV408 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4345]) ).
thf(4637,plain,
! [SV408: set_Pr204296108_a_a_e,SV883: produc715398134_a_a_e > set_a,SV948: set_set_a > set_a,SV95: set_Pr204296108_a_a_e,SV695: produc715398134_a_a_e > set_a] :
( ( ( ( SV695 @ ( sK119_SY2506 @ SV95 @ SV948 @ SV883 @ SV695 @ SV408 ) )
= ( SV883 @ ( sK119_SY2506 @ SV95 @ SV948 @ SV883 @ SV695 @ SV408 ) ) )
= $false )
| ( ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) )
= $true )
| ( ( SV95 = SV408 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4345]) ).
thf(4638,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4346]) ).
thf(4639,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4347]) ).
thf(4640,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4348]) ).
thf(4641,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1017: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1017 @ SV414 )
| ( member_set_a @ ( SV102 @ SV1017 ) @ SV700 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4350]) ).
thf(4642,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
| ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4351]) ).
thf(4643,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 ) )
= $false )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4352]) ).
thf(4644,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4352]) ).
thf(4645,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4354]) ).
thf(4646,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( SV417 = SV105 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4355]) ).
thf(4647,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV417 @ SV105 )
= $true )
| ( ( SV417 = SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4356]) ).
thf(4648,plain,
! [SV105: set_Pr204296108_a_a_e,SV417: set_Pr204296108_a_a_e] :
( ( ( SV417 = SV105 )
= $true )
| ( ( SV417 = SV105 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV105 @ SV417 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4357]) ).
thf(4649,plain,
! [SV418: set_Pr204296108_a_a_e,SV701: ( a > e ) > $o,SV106: a > e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK84_SY2352 @ SV106 @ SV701 @ SV418 ) @ ( sK101_SY2568 @ SV418 @ SV701 @ SV106 ) ) @ SV418 )
= $true )
| ( ( SV701 @ SV106 )
= $true )
| ( ( member_a_e @ SV106 @ ( range_set_a_a_e @ SV418 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4358]) ).
thf(4650,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( SV421 = SV885 )
= $true )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4360]) ).
thf(4651,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $true )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4361]) ).
thf(4652,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) )
= $true )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4362]) ).
thf(4653,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4364]) ).
thf(4654,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2573: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2573 )
| ( SV422 != SV992 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SY2573 ) @ SV704 ) ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4365]) ).
thf(4655,plain,
! [SV424: produc715398134_a_a_e > set_a,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e,SV949: produc715398134_a_a_e > a > e,SV886: a > e] :
( ( ( ! [SV1018: a] :
( ( SV886 @ SV1018 )
= ( SV949 @ SV706 @ SV1018 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[4366]) ).
thf(4656,plain,
! [SV424: produc715398134_a_a_e > set_a,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e,SV949: produc715398134_a_a_e > a > e,SV886: a > e] :
( ( ( SV886
= ( SV949 @ SV706 ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[4366]) ).
thf(4657,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4368]) ).
thf(4658,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a,SV993: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV993 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SV993 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4369]) ).
thf(4659,plain,
! [SV708: set_Pr204296108_a_a_e,SV887: ( a > e ) > set_a > $o,SV114: a > e,SV426: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK102_SY2509 @ SV426 @ SV114 @ SV887 @ SV708 ) @ ( sK121_SY2574 @ SV708 @ SV887 @ SV114 @ SV426 ) ) @ SV708 ) )
= $false )
| ( ( SV887 @ SV114 @ SV426 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4370]) ).
thf(4660,plain,
! [SV426: set_a,SV114: a > e,SV708: set_Pr204296108_a_a_e,SV887: ( a > e ) > set_a > $o] :
( ( ( SV887 @ ( sK121_SY2574 @ SV708 @ SV887 @ SV114 @ SV426 ) @ ( sK102_SY2509 @ SV426 @ SV114 @ SV887 @ SV708 ) )
= $false )
| ( ( SV887 @ SV114 @ SV426 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4370]) ).
thf(4661,plain,
! [SV710: set_set_a > set_set_a,SV117: set_set_a,SV888: set_set_a,SV429: set_set_a] :
( ( ( ! [SY2581: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( sK131_SY2365 @ SV429 @ SV888 @ SV117 @ SV710 ) @ SY2581 )
| ( ord_le318720350_set_a @ ( SV710 @ ( sK131_SY2365 @ SV429 @ SV888 @ SV117 @ SV710 ) ) @ ( SV710 @ SY2581 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 )
= $true )
| ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4371]) ).
thf(4662,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 = SV889 )
= $true )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4372]) ).
thf(4663,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $true )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4373]) ).
thf(4664,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4374]) ).
thf(4665,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4376]) ).
thf(4666,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a,SV994: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV994 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SV994 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4377]) ).
thf(4667,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1019: set_a] :
( ( ( ~ ( member_set_a @ SV1019 @ SV435 )
| ( member_a @ ( SV123 @ SV1019 ) @ SV714 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4379]) ).
thf(4668,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
| ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4380]) ).
thf(4669,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 ) )
= $false )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4381]) ).
thf(4670,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a] :
( ( ( ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4381]) ).
thf(4671,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $true )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4382]) ).
thf(4672,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4383]) ).
thf(4673,plain,
! [SV437: set_a,SV890: set_a] :
( ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4384]) ).
thf(4674,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4385]) ).
thf(4675,plain,
! [SV130: set_a,SV442: set_a,SV719: a] :
( ( ( member_a @ SV719 @ SV442 )
= $false )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $true )
| ( ( member_a @ SV719 @ SV130 )
= $true )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4387]) ).
thf(4676,plain,
! [SV130: set_a,SV442: set_a,SV719: a] :
( ( ( member_a @ SV719 @ SV442 )
= $false )
| ( ( ord_less_eq_set_a @ SV130 @ SV442 )
= $true )
| ( ( member_a @ SV719 @ SV130 )
= $true )
| ( ( ord_less_eq_set_a @ SV442 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4388]) ).
thf(4677,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ~ ! [SY2582: a > e] :
~ ~ ( ( SV132
!= ( sK132_SY1995 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ SY2582 ) @ SV444 ) ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4389]) ).
thf(4678,plain,
! [SV444: set_Pr204296108_a_a_e,SV1020: a > e,SV975: set_a,SV132: set_a] :
( ( ( ~ ~ ( ( SV132 != SV975 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4390]) ).
thf(4679,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV137 )
= $true )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4391]) ).
thf(4680,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( ~ ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV449 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4392]) ).
thf(4681,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4393]) ).
thf(4682,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4394]) ).
thf(4683,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 )
| ( SV450 != SV138 ) )
= $false )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4395]) ).
thf(4684,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 ) )
= $false )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4396]) ).
thf(4685,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 != SV138 )
= $false )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4396]) ).
thf(4686,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( SV453 = SV893 )
= $true )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4397]) ).
thf(4687,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $true )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4398]) ).
thf(4688,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) )
= $true )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4399]) ).
thf(4689,plain,
! [SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( SV454
!= ( produc1134456688_a_a_e @ SV142 @ ( sK133_SY2007 @ SV142 @ SV454 ) ) )
= $false )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4400]) ).
thf(4690,plain,
! [SV978: a > e,SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( SV142
!= ( produc1040928388_a_a_e @ SV454 ) )
= $false )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4401]) ).
thf(4691,plain,
! [SV978: a > e,SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ~ ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4401]) ).
thf(4692,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $true )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4402]) ).
thf(4693,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4403]) ).
thf(4694,plain,
! [SV462: set_set_a,SV894: set_set_a] :
( ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4404]) ).
thf(4695,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4405]) ).
thf(4696,plain,
! [SV736: ( a > e ) > a > e,SV896: set_Pr204296108_a_a_e,SV467: set_a > set_a,SV155: produc715398134_a_a_e] :
( ( ( SV155
= ( produc1134456688_a_a_e @ ( SV467 @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) ) @ ( SV736 @ ( sK105_SY2570 @ SV736 @ SV896 @ SV467 @ SV155 ) ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4406]) ).
thf(4697,plain,
! [SV155: produc715398134_a_a_e,SV467: set_a > set_a,SV736: ( a > e ) > a > e,SV896: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK87_SY2515 @ SV896 @ SV736 @ SV467 @ SV155 ) @ ( sK105_SY2570 @ SV736 @ SV896 @ SV467 @ SV155 ) ) @ SV896 )
= $true )
| ( ( member1258382221_a_a_e @ SV155 @ ( image_625620211_a_a_e @ ( produc1443219402_e_a_e @ SV467 @ SV736 ) @ SV896 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4407]) ).
thf(4698,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $true )
| ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4408]) ).
thf(4699,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( SV468 = SV156 )
= $true )
| ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4409]) ).
thf(4700,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV468 @ SV156 )
= $true )
| ( ( SV468 = SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4410]) ).
thf(4701,plain,
! [SV156: set_set_set_a,SV468: set_set_set_a] :
( ( ( SV468 = SV156 )
= $true )
| ( ( SV468 = SV156 )
= $false )
| ( ( ord_le2103863998_set_a @ SV156 @ SV468 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4411]) ).
thf(4702,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV159 )
| ~ ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV471 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4412]) ).
thf(4703,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ~ ! [SY2583: a > e] :
~ ~ ( ( SV161 != SY2583 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ SY2583 ) @ SV473 ) ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4413]) ).
thf(4704,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( ~ ~ ( ( SV161 != SV1021 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4414]) ).
thf(4705,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( SV474 = SV897 )
= $true )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4415]) ).
thf(4706,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $true )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4416]) ).
thf(4707,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) )
= $true )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4417]) ).
thf(4708,plain,
! [SV477: set_Pr204296108_a_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV742: set_a_e,SV165: set_set_a] :
( ( ( ! [SY2555: set_a] :
( ~ ( member_set_a @ SY2555 @ SV165 )
| ! [SY2556: a > e] :
( ~ ( member_a_e @ SY2556 @ SV742 )
| ~ ( SV898 @ SY2555 @ SY2556 )
| ( SV951 @ SY2555 @ SY2556 ) ) ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4418]) ).
thf(4709,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $true )
| ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4419]) ).
thf(4710,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( SV478 = SV166 )
= $true )
| ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4420]) ).
thf(4711,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( ord_le318720350_set_a @ SV478 @ SV166 )
= $true )
| ( ( SV478 = SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4421]) ).
thf(4712,plain,
! [SV166: set_set_a,SV478: set_set_a] :
( ( ( SV478 = SV166 )
= $true )
| ( ( SV478 = SV166 )
= $false )
| ( ( ord_le318720350_set_a @ SV166 @ SV478 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4422]) ).
thf(4713,plain,
! [SV744: set_a > set_set_a,SV169: set_a,SV899: set_set_a,SV481: set_a] :
( ( ( ! [SY2584: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK135_SY2386 @ SV481 @ SV899 @ SV169 @ SV744 ) @ SY2584 )
| ( ord_le318720350_set_a @ ( SV744 @ ( sK135_SY2386 @ SV481 @ SV899 @ SV169 @ SV744 ) ) @ ( SV744 @ SY2584 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 )
= $true )
| ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4423]) ).
thf(4714,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $true )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4424]) ).
thf(4715,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4425]) ).
thf(4716,plain,
! [SV483: set_set_a,SV900: set_set_a] :
( ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4426]) ).
thf(4717,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4427]) ).
thf(4718,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV176 )
= $true )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4428]) ).
thf(4719,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV488 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4429]) ).
thf(4720,plain,
! [SV489: a > $o,SV1013: a,SV177: a > $o] :
( ( ( ~ ( SV177 @ SV1013 ) )
= $true )
| ( ( SV489 @ SV1013 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4430]) ).
thf(4721,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) ) )
= $false )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4431]) ).
thf(4722,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ~ ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $false )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4431]) ).
thf(4723,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $true )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4432]) ).
thf(4724,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $true )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4433]) ).
thf(4725,plain,
! [SV753: set_Pr204296108_a_a_e,SV496: produc715398134_a_a_e > produc715398134_a_a_e,SV184: set_Pr204296108_a_a_e,SV902: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV902 @ SV184 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV496 @ SV902 ) @ ( image_625620211_a_a_e @ SV496 @ SV184 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK62_SY2392 @ SV902 @ SV753 @ SV496 @ SV184 ) @ SV184 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4434]) ).
thf(4726,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4437]) ).
thf(4727,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV997 @ SV754 )
| ( SV185
!= ( SV497 @ SV997 ) ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4438]) ).
thf(4728,plain,
! [SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a,SV903: $o > set_a,SV755: $o > set_a] :
( ( ( ! [SY2585: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ ( sK136_SY2069 @ SV755 @ SV903 @ SV186 @ SV498 ) @ SY2585 )
| ( ord_le318720350_set_a @ ( SV498 @ ( sK136_SY2069 @ SV755 @ SV903 @ SV186 @ SV498 ) ) @ ( SV498 @ SY2585 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4439]) ).
thf(4729,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV190 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4441]) ).
thf(4730,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV502 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4442]) ).
thf(4731,plain,
! [SV504: set_Pr204296108_a_a_e,SV760: produc715398134_a_a_e > set_a,SV905: produc715398134_a_a_e > set_a,SV192: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK108_SY2526 @ SV192 @ SV905 @ SV760 @ SV504 ) @ SV504 )
= $true )
| ( ( ( image_64240033_set_a @ SV760 @ SV192 )
= ( image_64240033_set_a @ SV905 @ SV504 ) )
= $true )
| ( ( SV192 = SV504 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4443]) ).
thf(4732,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4446]) ).
thf(4733,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a,SV999: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV999 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SV999 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4447]) ).
thf(4734,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4448]) ).
thf(4735,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $false )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4449]) ).
thf(4736,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4449]) ).
thf(4737,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) )
| ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4450]) ).
thf(4738,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $false )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4451]) ).
thf(4739,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4451]) ).
thf(4740,plain,
! [SV203: produc715398134_a_a_e > set_a,SV769: set_a > $o,SV515: set_Pr204296108_a_a_e,SV1000: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1000 @ SV515 )
= $false )
| ( ( SV769 @ ( SV203 @ SV1000 ) )
= $true )
| ( ( member_set_a @ ( sK32_SY2403 @ SV769 @ SV515 @ SV203 ) @ ( image_64240033_set_a @ SV203 @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4452]) ).
thf(4741,plain,
! [SV204: set_set_a,SV516: set_set_a,SV770: set_a] :
( ( ( member_set_a @ SV770 @ SV516 )
= $true )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $true )
| ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ord_le318720350_set_a @ SV204 @ SV516 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4454]) ).
thf(4742,plain,
! [SV204: set_set_a,SV516: set_set_a,SV770: set_a] :
( ( ( member_set_a @ SV770 @ SV516 )
= $true )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $true )
| ( ( member_set_a @ SV770 @ SV204 )
= $false )
| ( ( ord_le318720350_set_a @ SV516 @ SV204 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4455]) ).
thf(4743,plain,
! [SV771: set_set_set_a > set_a,SV206: set_set_set_a,SV906: set_a,SV518: set_set_set_a] :
( ( ( ! [SY2586: set_set_set_a] :
( ~ ( ord_le2103863998_set_a @ ( sK137_SY2406 @ SV518 @ SV906 @ SV206 @ SV771 ) @ SY2586 )
| ( ord_less_eq_set_a @ ( SV771 @ ( sK137_SY2406 @ SV518 @ SV906 @ SV206 @ SV771 ) ) @ ( SV771 @ SY2586 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 )
= $true )
| ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4456]) ).
thf(4744,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV211 )
| ~ ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV523 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4457]) ).
thf(4745,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4458]) ).
thf(4746,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4459]) ).
thf(4747,plain,
! [SV525: set_Pr204296108_a_a_e,SV908: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4460]) ).
thf(4748,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4461]) ).
thf(4749,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( SV526 = SV909 )
= $true )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4462]) ).
thf(4750,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $true )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4463]) ).
thf(4751,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) )
= $true )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4464]) ).
thf(4752,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $true )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4465]) ).
thf(4753,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $true )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4466]) ).
thf(4754,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ! [SV1022: a] :
( ( SV216 @ SV1022 )
= ( produc317566658_a_a_e @ SV528 @ SV1022 ) ) )
= $true )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4467]) ).
thf(4755,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $true )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4467]) ).
thf(4756,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4468]) ).
thf(4757,plain,
! [SV982: set_a,SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
!= ( produc317566658_a_a_e @ SV528 ) )
= $false )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4469]) ).
thf(4758,plain,
! [SV982: set_a,SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ~ ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4469]) ).
thf(4759,plain,
! [SV777: produc715398134_a_a_e,SV529: set_Pr204296108_a_a_e,SV217: set_Pr204296108_a_a_e] :
( ( ( SV217 = SV529 )
= $false )
| ( ( member1258382221_a_a_e @ SV777 @ SV529 )
= $false )
| ( ( member1258382221_a_a_e @ SV777 @ SV217 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV217 @ SV529 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4470]) ).
thf(4760,plain,
! [SV779: set_a,SV531: set_set_a,SV219: set_set_a] :
( ( ( SV219 = SV531 )
= $false )
| ( ( member_set_a @ SV779 @ SV531 )
= $false )
| ( ( member_set_a @ SV779 @ SV219 )
= $true )
| ( ( ord_le318720350_set_a @ SV219 @ SV531 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4471]) ).
thf(4761,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4473]) ).
thf(4762,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a,SV1001: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV1001 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SV1001 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4474]) ).
thf(4763,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( SV537 = SV911 )
= $true )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4475]) ).
thf(4764,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $true )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4476]) ).
thf(4765,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) )
= $true )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4477]) ).
thf(4766,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV227 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4478]) ).
thf(4767,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV539 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4479]) ).
thf(4768,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( SV540 = SV912 )
= $true )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4480]) ).
thf(4769,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $true )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4481]) ).
thf(4770,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) )
= $true )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4482]) ).
thf(4771,plain,
! [SV786: $o > set_a,SV913: $o > set_a,SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a] :
( ( ( ~ ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4483]) ).
thf(4772,plain,
! [SV786: $o > set_a,SV913: $o > set_a,SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a] :
( ( ( ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4484]) ).
thf(4773,plain,
! [SV787: set_Pr204296108_a_a_e,SV231: set_a,SV543: produc715398134_a_a_e > set_a] :
( ( ( member1258382221_a_a_e @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) @ SV787 )
= $true )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4485]) ).
thf(4774,plain,
! [SV787: set_Pr204296108_a_a_e,SV543: produc715398134_a_a_e > set_a,SV231: set_a] :
( ( ( SV231
= ( SV543 @ ( sK67_SY2416 @ SV543 @ SV231 @ SV787 ) ) )
= $true )
| ( ( member_set_a @ SV231 @ ( image_64240033_set_a @ SV543 @ SV787 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4486]) ).
thf(4775,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $true )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4487]) ).
thf(4776,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4488]) ).
thf(4777,plain,
! [SV545: set_a,SV914: set_a] :
( ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4489]) ).
thf(4778,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4490]) ).
thf(4779,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( SV547 = SV916 )
= $true )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4491]) ).
thf(4780,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $true )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4492]) ).
thf(4781,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) )
= $true )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4493]) ).
thf(4782,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( SV549 = SV917 )
= $true )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4494]) ).
thf(4783,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $true )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4495]) ).
thf(4784,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) )
= $true )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4496]) ).
thf(4785,plain,
( ( ~ ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4497]) ).
thf(4786,plain,
( ( ~ ( ord_less_eq_set_a @ a1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4497]) ).
thf(4787,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4498]) ).
thf(4788,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4499]) ).
thf(4789,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 = SV796 )
= $false )
| ( ( SV555 != SV919 )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4500]) ).
thf(4790,plain,
! [SV800: set_a > set_a,SV249: set_a,SV921: set_a,SV559: set_a] :
( ( ( ! [SY2587: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK138_SY2423 @ SV559 @ SV921 @ SV249 @ SV800 ) @ SY2587 )
| ( ord_less_eq_set_a @ ( SV800 @ ( sK138_SY2423 @ SV559 @ SV921 @ SV249 @ SV800 ) ) @ ( SV800 @ SY2587 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 )
= $true )
| ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4501]) ).
thf(4791,plain,
! [SV250: set_Pr204296108_a_a_e,SV560: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV801 @ SV560 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $true )
| ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV250 @ SV560 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4502]) ).
thf(4792,plain,
! [SV250: set_Pr204296108_a_a_e,SV560: set_Pr204296108_a_a_e,SV801: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV801 @ SV560 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $true )
| ( ( member1258382221_a_a_e @ SV801 @ SV250 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV560 @ SV250 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4503]) ).
thf(4793,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4505]) ).
thf(4794,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SV1002 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4506]) ).
thf(4795,plain,
! [SV803: set_set_a > set_a,SV252: set_set_a,SV922: set_a,SV562: set_set_a] :
( ( ( ! [SY2588: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( sK139_SY2427 @ SV562 @ SV922 @ SV252 @ SV803 ) @ SY2588 )
| ( ord_less_eq_set_a @ ( SV803 @ ( sK139_SY2427 @ SV562 @ SV922 @ SV252 @ SV803 ) ) @ ( SV803 @ SY2588 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 )
= $true )
| ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4507]) ).
thf(4796,plain,
! [SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a,SV923: $o > set_a,SV804: $o > set_a] :
( ( ( ! [SY2589: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ ( sK140_SY2170 @ SV804 @ SV923 @ SV253 @ SV563 ) @ SY2589 )
| ( ord_le2103863998_set_a @ ( SV563 @ ( sK140_SY2170 @ SV804 @ SV923 @ SV253 @ SV563 ) ) @ ( SV563 @ SY2589 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4508]) ).
thf(4797,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $true )
| ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4509]) ).
thf(4798,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( SV565 = SV255 )
= $true )
| ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4510]) ).
thf(4799,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( ord_less_eq_set_a @ SV565 @ SV255 )
= $true )
| ( ( SV565 = SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4511]) ).
thf(4800,plain,
! [SV255: set_a,SV565: set_a] :
( ( ( SV565 = SV255 )
= $true )
| ( ( SV565 = SV255 )
= $false )
| ( ( ord_less_eq_set_a @ SV255 @ SV565 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4512]) ).
thf(4801,plain,
! [SV258: a > e,SV567: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK141_SY2174 @ SV567 @ SV258 ) @ SV258 ) @ SV567 ) )
= $false )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4513]) ).
thf(4802,plain,
! [SV983: set_a,SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4514]) ).
thf(4803,plain,
! [SV983: set_a,SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4514]) ).
thf(4804,plain,
! [SV261: set_Pr204296108_a_a_e,SV570: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV806 @ SV570 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $true )
| ( ( member1258382221_a_a_e @ SV806 @ SV261 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4515]) ).
thf(4805,plain,
! [SV261: set_Pr204296108_a_a_e,SV570: set_Pr204296108_a_a_e,SV806: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV806 @ SV570 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV261 @ SV570 )
= $true )
| ( ( member1258382221_a_a_e @ SV806 @ SV261 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV570 @ SV261 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4516]) ).
thf(4806,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4518]) ).
thf(4807,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a,SV1003: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1003 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SV1003 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4519]) ).
thf(4808,plain,
! [SV573: set_a > set_a,SV264: set_a,SV925: set_a,SV809: set_a] :
( ( ( ! [SY2590: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK142_SY2182 @ SV809 @ SV925 @ SV264 @ SV573 ) @ SY2590 )
| ( ord_less_eq_set_a @ ( SV573 @ ( sK142_SY2182 @ SV809 @ SV925 @ SV264 @ SV573 ) ) @ ( SV573 @ SY2590 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4520]) ).
thf(4809,plain,
! [SV810: a,SV574: set_a,SV265: set_a] :
( ( ( SV265 = SV574 )
= $false )
| ( ( member_a @ SV810 @ SV574 )
= $false )
| ( ( member_a @ SV810 @ SV265 )
= $true )
| ( ( ord_less_eq_set_a @ SV265 @ SV574 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4521]) ).
thf(4810,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV266 )
= $true )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4522]) ).
thf(4811,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV575 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4523]) ).
thf(4812,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4524]) ).
thf(4813,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4525]) ).
thf(4814,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 = SV811 )
= $false )
| ( ( SV576 != SV926 )
= $true )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4526]) ).
thf(4815,plain,
! [SV580: set_a > set_a,SV271: set_a,SV961: set_set_a,SV815: set_a,SV952: set_a > a > e,SV928: a > e] :
( ( ( ! [SV1023: a] :
( ( SV928 @ SV1023 )
= ( SV952 @ SV815 @ SV1023 ) ) )
= $false )
| ( ( ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[4530]) ).
thf(4816,plain,
! [SV580: set_a > set_a,SV271: set_a,SV961: set_set_a,SV815: set_a,SV952: set_a > a > e,SV928: a > e] :
( ( ( SV928
= ( SV952 @ SV815 ) )
= $false )
| ( ( ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[4530]) ).
thf(4817,plain,
! [SV817: ( $o > set_a ) > set_a,SV275: $o > set_a,SV929: set_a,SV584: $o > set_a] :
( ( ( ! [SY2591: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ ( sK143_SY2448 @ SV584 @ SV929 @ SV275 @ SV817 ) @ SY2591 )
| ( ord_less_eq_set_a @ ( SV817 @ ( sK143_SY2448 @ SV584 @ SV929 @ SV275 @ SV817 ) ) @ ( SV817 @ SY2591 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 )
= $true )
| ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4533]) ).
thf(4818,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV276 )
= $true )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4534]) ).
thf(4819,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( ~ ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV585 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4535]) ).
thf(4820,plain,
! [SV277: set_a,SV586: set_a,SV818: a] :
( ( ( member_a @ SV818 @ SV586 )
= $true )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $true )
| ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ord_less_eq_set_a @ SV277 @ SV586 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4536]) ).
thf(4821,plain,
! [SV277: set_a,SV586: set_a,SV818: a] :
( ( ( member_a @ SV818 @ SV586 )
= $true )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $true )
| ( ( member_a @ SV818 @ SV277 )
= $false )
| ( ( ord_less_eq_set_a @ SV586 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4537]) ).
thf(4822,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4538]) ).
thf(4823,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 != SV931 )
= $false )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4539]) ).
thf(4824,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4539]) ).
thf(4825,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $true )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4540]) ).
thf(4826,plain,
! [SV282: produc715398134_a_a_e > set_a,SV1005: set_a] :
( ( ( SV1005
!= ( SV282 @ ( sK144_SY2575 @ SV282 @ SV1005 ) ) )
= $false )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4541]) ).
thf(4827,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
!= top_top_set_set_a )
= $false )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4542]) ).
thf(4828,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $false )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4542]) ).
thf(4829,plain,
! [SV590: set_Pr204296108_a_a_e,SV821: produc715398134_a_a_e > set_a,SV932: produc715398134_a_a_e > set_a,SV953: set_set_a > set_a,SV283: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK125_SY2546 @ SV283 @ SV953 @ SV932 @ SV821 @ SV590 ) @ SV590 ) )
= $false )
| ( ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) )
= $true )
| ( ( SV283 = SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4543]) ).
thf(4830,plain,
! [SV590: set_Pr204296108_a_a_e,SV932: produc715398134_a_a_e > set_a,SV953: set_set_a > set_a,SV283: set_Pr204296108_a_a_e,SV821: produc715398134_a_a_e > set_a] :
( ( ( ( SV821 @ ( sK125_SY2546 @ SV283 @ SV953 @ SV932 @ SV821 @ SV590 ) )
= ( SV932 @ ( sK125_SY2546 @ SV283 @ SV953 @ SV932 @ SV821 @ SV590 ) ) )
= $false )
| ( ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) )
= $true )
| ( ( SV283 = SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4543]) ).
thf(4831,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4544]) ).
thf(4832,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4545]) ).
thf(4833,plain,
! [SV594: set_Pr204296108_a_a_e,SV933: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true )
| ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4546]) ).
thf(4834,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4547]) ).
thf(4835,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4549]) ).
thf(4836,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2576: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2576 )
| ( SV595 != SV1006 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SY2576 ) @ SV825 ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4550]) ).
thf(4837,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( SV600 = SV934 )
= $true )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4551]) ).
thf(4838,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $true )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4552]) ).
thf(4839,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) )
= $true )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4553]) ).
thf(4840,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4555]) ).
thf(4841,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV1007 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SV1007 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4556]) ).
thf(4842,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( SV604 = SV935 )
= $true )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4557]) ).
thf(4843,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $true )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4558]) ).
thf(4844,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) )
= $true )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4559]) ).
thf(4845,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( SV606 = SV937 )
= $true )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4560]) ).
thf(4846,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $true )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4561]) ).
thf(4847,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) )
= $true )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4562]) ).
thf(4848,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( SV607 = SV938 )
= $true )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4563]) ).
thf(4849,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $true )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4564]) ).
thf(4850,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) )
= $true )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4565]) ).
thf(4851,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4567]) ).
thf(4852,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a,SV1008: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1008 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SV1008 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4568]) ).
thf(4853,plain,
! [SV839: set_set_a > set_set_set_a,SV306: set_set_a,SV939: set_set_set_a,SV612: set_set_a] :
( ( ( ! [SY2592: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( sK145_SY2465 @ SV612 @ SV939 @ SV306 @ SV839 ) @ SY2592 )
| ( ord_le2103863998_set_a @ ( SV839 @ ( sK145_SY2465 @ SV612 @ SV939 @ SV306 @ SV839 ) ) @ ( SV839 @ SY2592 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 )
= $true )
| ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4569]) ).
thf(4854,plain,
! [SV840: ( a > e ) > $o,SV940: a > e,SV613: set_a,SV307: set_a > $o] :
( ( ( SV307 @ ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
= $true )
| ( ( SV840 @ SV940 )
= $false )
| ( ( SV307 @ SV613 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4570]) ).
thf(4855,plain,
! [SV307: set_a > $o,SV940: a > e,SV613: set_a,SV840: ( a > e ) > $o] :
( ( ( SV840 @ ( produc317566658_a_a_e @ ( produc1134456688_a_a_e @ SV613 @ SV940 ) ) )
= $true )
| ( ( SV840 @ SV940 )
= $false )
| ( ( SV307 @ SV613 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4571]) ).
thf(4856,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV320 )
| ~ ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV626 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4572]) ).
thf(4857,plain,
! [SV848: set_a > $o,SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( ~ ( SV848 @ SV972 ) )
= $true )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4573]) ).
thf(4858,plain,
! [SV850: set_set_a,SV630: produc715398134_a_a_e > set_a,SV324: set_Pr204296108_a_a_e,SV942: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV942 @ SV324 )
= $false )
| ( ( member_set_a @ ( SV630 @ SV942 ) @ ( image_64240033_set_a @ SV630 @ SV324 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK75_SY2474 @ SV942 @ SV850 @ SV630 @ SV324 ) @ SV324 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4574]) ).
thf(4859,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4576]) ).
thf(4860,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 != SV943 )
= $false )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4577]) ).
thf(4861,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4577]) ).
thf(4862,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $true )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4578]) ).
thf(4863,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4580]) ).
thf(4864,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a,SV1010: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1010 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SV1010 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4581]) ).
thf(4865,plain,
! [SV637: set_a,SV855: set_a > $o,SV331: set_a > $o] :
( ( ( ~ ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4582]) ).
thf(4866,plain,
! [SV637: set_a,SV855: set_a > $o,SV331: set_a > $o] :
( ( ( ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4583]) ).
thf(4867,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1024: set_a] :
( ( ( ~ ( member_set_a @ SV1024 @ SV642 )
| ( member_set_a @ ( SV336 @ SV1024 ) @ SV860 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4585]) ).
thf(4868,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
| ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4586]) ).
thf(4869,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 ) )
= $false )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4587]) ).
thf(4870,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a] :
( ( ( ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4587]) ).
thf(4871,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4589]) ).
thf(4872,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a,SV1011: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV1011 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SV1011 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4590]) ).
thf(4873,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1025: set_a] :
( ( ( ~ ( member_set_a @ SV1025 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SV1025 ) @ SV862 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4592]) ).
thf(4874,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
| ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4593]) ).
thf(4875,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4594]) ).
thf(4876,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a] :
( ( ( ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4594]) ).
thf(4877,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ ( sK146_SY2303 @ SV646 @ SV340 ) ) @ SV646 ) )
= $false )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4595]) ).
thf(4878,plain,
! [SV987: a > e,SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4596]) ).
thf(4879,plain,
! [SV987: a > e,SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4596]) ).
thf(4880,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 ) )
= $false )
| ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4597]) ).
thf(4881,plain,
! [SV362: set_Pr204296108_a_a_e,SV957: a > e,SV868: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
= $false )
| ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4597]) ).
thf(4882,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( ~ ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4598]) ).
thf(4883,plain,
! [SV362: set_Pr204296108_a_a_e,SV957: a > e,SV868: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4598]) ).
thf(4884,plain,
! [SV661: set_Pr305929312_set_a,SV869: set_a > ( a > e ) > $o,SV52: set_a,SV367: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ ( sK99_SY2489 @ SV367 @ SV52 @ SV869 @ SV661 ) @ ( sK115_SY2572 @ SV661 @ SV869 @ SV52 @ SV367 ) ) @ SV661 )
= $true )
| ( ( SV869 @ SV52 @ SV367 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV52 @ SV367 ) @ ( converse_a_e_set_a @ SV661 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4601]) ).
thf(4885,plain,
! [SV374: set_a,SV871: $o > set_a,SV61: set_a,SV667: set_a > $o > set_a] :
( ( ( ! [SY2318: set_a,SY2319: set_a] :
( ~ ( ord_less_eq_set_a @ SY2318 @ SY2319 )
| ( ord_less_eq_o_set_a @ ( SV667 @ SY2318 ) @ ( SV667 @ SY2319 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4604]) ).
thf(4886,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ! [SY2593: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK147_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ SY2593 )
| ( ord_less_eq_o_set_a @ ( SV667 @ ( sK147_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) ) @ ( SV667 @ SY2593 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4605]) ).
thf(4887,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 != SV872 )
= $false )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4606]) ).
thf(4888,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4606]) ).
thf(4889,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4607]) ).
thf(4890,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4608]) ).
thf(4891,plain,
! [SV377: $o > set_a,SV872: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ~ ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4609]) ).
thf(4892,plain,
! [SV670: set_a > set_set_set_a,SV66: set_a,SV873: set_set_set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK127_SY2322 @ SV379 @ SV873 @ SV66 @ SV670 ) @ ( sK148_SY2577 @ SV670 @ SV66 @ SV873 @ SV379 ) )
| ( ord_le2103863998_set_a @ ( SV670 @ ( sK127_SY2322 @ SV379 @ SV873 @ SV66 @ SV670 ) ) @ ( SV670 @ ( sK148_SY2577 @ SV670 @ SV66 @ SV873 @ SV379 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 )
= $true )
| ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4610]) ).
thf(4893,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4611]) ).
thf(4894,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4611]) ).
thf(4895,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4612]) ).
thf(4896,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4613]) ).
thf(4897,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ~ ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4614]) ).
thf(4898,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ~ ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4614]) ).
thf(4899,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4615]) ).
thf(4900,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4616]) ).
thf(4901,plain,
! [SV676: set_a > set_a,SV74: set_a,SV874: set_a,SV387: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK128_SY2328 @ SV387 @ SV874 @ SV74 @ SV676 ) @ ( sK149_SY2578 @ SV676 @ SV74 @ SV874 @ SV387 ) )
| ( ord_less_eq_set_a @ ( SV676 @ ( sK128_SY2328 @ SV387 @ SV874 @ SV74 @ SV676 ) ) @ ( SV676 @ ( sK149_SY2578 @ SV676 @ SV74 @ SV874 @ SV387 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4617]) ).
thf(4902,plain,
! [SV389: set_set_a,SV875: $o > set_a,SV76: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ! [SY2331: set_set_a,SY2332: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2331 @ SY2332 )
| ( ord_less_eq_o_set_a @ ( SV678 @ SY2331 ) @ ( SV678 @ SY2332 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4618]) ).
thf(4903,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ! [SY2594: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( sK150_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ SY2594 )
| ( ord_less_eq_o_set_a @ ( SV678 @ ( sK150_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) ) @ ( SV678 @ SY2594 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4619]) ).
thf(4904,plain,
! [SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e,SV876: $o > set_a,SV681: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK129_SY1914 @ SV681 @ SV876 @ SV79 @ SV392 ) @ ( sK151_SY2579 @ SV392 @ SV79 @ SV876 @ SV681 ) )
| ( ord_le700723212_a_a_e @ ( SV392 @ ( sK129_SY1914 @ SV681 @ SV876 @ SV79 @ SV392 ) ) @ ( SV392 @ ( sK151_SY2579 @ SV392 @ SV79 @ SV876 @ SV681 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4620]) ).
thf(4905,plain,
! [SV394: set_a > set_a,SV81: set_a,SV878: set_a,SV683: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK130_SY1921 @ SV683 @ SV878 @ SV81 @ SV394 ) @ ( sK152_SY2580 @ SV394 @ SV81 @ SV878 @ SV683 ) )
| ( ord_less_eq_set_a @ ( SV394 @ ( sK130_SY1921 @ SV683 @ SV878 @ SV81 @ SV394 ) ) @ ( SV394 @ ( sK152_SY2580 @ SV394 @ SV81 @ SV878 @ SV683 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4622]) ).
thf(4906,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1015: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1437121347_a_a_e @ SV1015 @ SV405 ) )
= $true )
| ( ( member_set_set_a @ ( SV92 @ SV1015 ) @ SV692 )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4625]) ).
thf(4907,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 ) )
= $false )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4626]) ).
thf(4908,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e] :
( ( ( ~ ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $false )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4626]) ).
thf(4909,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $true )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4627]) ).
thf(4910,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e] :
( ( ( ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $true )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4628]) ).
thf(4911,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) )
= $false )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4630]) ).
thf(4912,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ~ ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4631]) ).
thf(4913,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1016: a] :
( ( ( ~ ( member_a @ SV1016 @ SV407 ) )
= $true )
| ( ( member_a @ ( SV94 @ SV1016 ) @ SV694 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4632]) ).
thf(4914,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 ) )
= $false )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4633]) ).
thf(4915,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a] :
( ( ( ~ ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $false )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4633]) ).
thf(4916,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $true )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4634]) ).
thf(4917,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a] :
( ( ( ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $true )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4635]) ).
thf(4918,plain,
! [SV408: set_Pr204296108_a_a_e,SV695: produc715398134_a_a_e > set_a,SV883: produc715398134_a_a_e > set_a,SV948: set_set_a > set_a,SV95: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK119_SY2506 @ SV95 @ SV948 @ SV883 @ SV695 @ SV408 ) @ SV408 )
= $true )
| ( ( ( SV948 @ ( image_64240033_set_a @ SV695 @ SV95 ) )
= ( SV948 @ ( image_64240033_set_a @ SV883 @ SV408 ) ) )
= $true )
| ( ( SV95 = SV408 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4636]) ).
thf(4919,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4639]) ).
thf(4920,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4640]) ).
thf(4921,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1017: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1017 @ SV414 ) )
= $true )
| ( ( member_set_a @ ( SV102 @ SV1017 ) @ SV700 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4641]) ).
thf(4922,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4642]) ).
thf(4923,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4642]) ).
thf(4924,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $true )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4643]) ).
thf(4925,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e] :
( ( ( ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $true )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4644]) ).
thf(4926,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) )
= $false )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4651]) ).
thf(4927,plain,
! [SV421: set_set_a,SV885: set_set_a] :
( ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ~ ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4652]) ).
thf(4928,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ~ ! [SY2595: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2595 )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ SY2595 ) @ SV704 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4653]) ).
thf(4929,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( ~ ~ ( ~ ~ ( ( SV110 != SV1026 )
| ( SV422 != SV992 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4654]) ).
thf(4930,plain,
! [SV949: produc715398134_a_a_e > a > e,SV706: produc715398134_a_a_e,SV959: set_Pr204296108_a_a_e,SV112: set_a,SV424: produc715398134_a_a_e > set_a,SV886: a > e] :
( ( ( ( SV886 @ ( sK154_SV1018 @ SV424 @ SV112 @ SV959 @ SV706 @ SV949 @ SV886 ) )
= ( SV949 @ SV706 @ ( sK154_SV1018 @ SV424 @ SV112 @ SV959 @ SV706 @ SV949 @ SV886 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ SV706 @ SV959 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) ) )
= $true )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4655]) ).
thf(4931,plain,
! [SV949: produc715398134_a_a_e > a > e,SV424: produc715398134_a_a_e > set_a,SV886: a > e,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV706 @ SV959 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) )
= $true )
| ( ( SV886
= ( SV949 @ SV706 ) )
= $false )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4656]) ).
thf(4932,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4657]) ).
thf(4933,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a,SV993: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV993 @ SV707 ) )
= $true )
| ( ( SV113
!= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4658]) ).
thf(4934,plain,
! [SV708: set_Pr204296108_a_a_e,SV887: ( a > e ) > set_a > $o,SV114: a > e,SV426: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK102_SY2509 @ SV426 @ SV114 @ SV887 @ SV708 ) @ ( sK121_SY2574 @ SV708 @ SV887 @ SV114 @ SV426 ) ) @ SV708 )
= $true )
| ( ( SV887 @ SV114 @ SV426 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV114 @ SV426 ) @ ( converse_set_a_a_e @ SV708 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4659]) ).
thf(4935,plain,
! [SV710: set_set_a > set_set_a,SV117: set_set_a,SV888: set_set_a,SV429: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK131_SY2365 @ SV429 @ SV888 @ SV117 @ SV710 ) @ ( sK156_SY2581 @ SV710 @ SV117 @ SV888 @ SV429 ) )
| ( ord_le318720350_set_a @ ( SV710 @ ( sK131_SY2365 @ SV429 @ SV888 @ SV117 @ SV710 ) ) @ ( SV710 @ ( sK156_SY2581 @ SV710 @ SV117 @ SV888 @ SV429 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 )
= $true )
| ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4661]) ).
thf(4936,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) )
= $false )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4663]) ).
thf(4937,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4664]) ).
thf(4938,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4665]) ).
thf(4939,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a,SV994: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV994 @ SV713 ) )
= $true )
| ( ( SV121
!= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4666]) ).
thf(4940,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1019: set_a] :
( ( ( ~ ( member_set_a @ SV1019 @ SV435 ) )
= $true )
| ( ( member_a @ ( SV123 @ SV1019 ) @ SV714 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4667]) ).
thf(4941,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 ) )
= $false )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4668]) ).
thf(4942,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a] :
( ( ( ~ ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $false )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4668]) ).
thf(4943,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $true )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4669]) ).
thf(4944,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a] :
( ( ( ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $true )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4670]) ).
thf(4945,plain,
! [SV890: set_a,SV437: set_a,SV1027: a] :
( ( ( ~ ( member_a @ SV1027 @ SV437 )
| ( member_a @ SV1027 @ SV890 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4672]) ).
thf(4946,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 )
| ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4673]) ).
thf(4947,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 ) )
= $false )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4674]) ).
thf(4948,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4674]) ).
thf(4949,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ! [SY2582: a > e] :
~ ~ ( ( SV132
!= ( sK132_SY1995 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ SY2582 ) @ SV444 ) ) )
= $true )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4677]) ).
thf(4950,plain,
! [SV444: set_Pr204296108_a_a_e,SV1020: a > e,SV975: set_a,SV132: set_a] :
( ( ( ~ ( ( SV132 != SV975 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 ) ) )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4678]) ).
thf(4951,plain,
! [SV137: set_a,SV449: set_a] :
( ( ( member_a @ ( sK57_SY2002 @ SV449 @ SV137 ) @ SV449 )
= $false )
| ( ( ord_less_eq_set_a @ SV137 @ SV449 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4680]) ).
thf(4952,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ! [SV1028: $o] :
( ( SV450 @ SV1028 )
= ( SV138 @ SV1028 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4682]) ).
thf(4953,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4682]) ).
thf(4954,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV450 @ SV138 ) )
= $false )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4683]) ).
thf(4955,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 != SV138 )
= $false )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4683]) ).
thf(4956,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $true )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4684]) ).
thf(4957,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $true )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4685]) ).
thf(4958,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) )
= $false )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4687]) ).
thf(4959,plain,
! [SV453: set_a,SV893: set_a] :
( ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ~ ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4688]) ).
thf(4960,plain,
! [SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ ( sK133_SY2007 @ SV142 @ SV454 ) ) )
= $true )
| ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4689]) ).
thf(4961,plain,
! [SV978: a > e,SV454: produc715398134_a_a_e,SV142: set_a] :
( ( ( SV142
= ( produc1040928388_a_a_e @ SV454 ) )
= $true )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4690]) ).
thf(4962,plain,
! [SV978: a > e,SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ~ ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $true )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4691]) ).
thf(4963,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1029: set_a] :
( ( ( ~ ( member_set_a @ SV1029 @ SV462 )
| ( member_set_a @ SV1029 @ SV894 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4693]) ).
thf(4964,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 )
| ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4694]) ).
thf(4965,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 ) )
= $false )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4695]) ).
thf(4966,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4695]) ).
thf(4967,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV159 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4702]) ).
thf(4968,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV471 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4702]) ).
thf(4969,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ! [SY2583: a > e] :
~ ~ ( ( SV161 != SY2583 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ SY2583 ) @ SV473 ) ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4703]) ).
thf(4970,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( ~ ( ( SV161 != SV1021 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4704]) ).
thf(4971,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) )
= $false )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4706]) ).
thf(4972,plain,
! [SV474: set_set_set_a,SV897: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ~ ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4707]) ).
thf(4973,plain,
! [SV165: set_set_a,SV742: set_a_e,SV898: set_a > ( a > e ) > $o,SV951: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ~ ( member_set_a @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SV165 )
| ! [SY2596: a > e] :
( ~ ( member_a_e @ SY2596 @ SV742 )
| ~ ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SY2596 )
| ( SV951 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SY2596 ) ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4708]) ).
thf(4974,plain,
! [SV744: set_a > set_set_a,SV169: set_a,SV899: set_set_a,SV481: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK135_SY2386 @ SV481 @ SV899 @ SV169 @ SV744 ) @ ( sK159_SY2584 @ SV744 @ SV169 @ SV899 @ SV481 ) )
| ( ord_le318720350_set_a @ ( SV744 @ ( sK135_SY2386 @ SV481 @ SV899 @ SV169 @ SV744 ) ) @ ( SV744 @ ( sK159_SY2584 @ SV744 @ SV169 @ SV899 @ SV481 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 )
= $true )
| ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4713]) ).
thf(4975,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1030: set_a] :
( ( ( ~ ( member_set_a @ SV1030 @ SV483 )
| ( member_set_a @ SV1030 @ SV900 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4715]) ).
thf(4976,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 )
| ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4716]) ).
thf(4977,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 ) )
= $false )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4717]) ).
thf(4978,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4717]) ).
thf(4979,plain,
! [SV176: set_set_a,SV488: set_set_a] :
( ( ( member_set_a @ ( sK60_SY2055 @ SV488 @ SV176 ) @ SV488 )
= $false )
| ( ( ord_le318720350_set_a @ SV176 @ SV488 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4719]) ).
thf(4980,plain,
! [SV489: a > $o,SV1013: a,SV177: a > $o] :
( ( ( SV177 @ SV1013 )
= $false )
| ( ( SV489 @ SV1013 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4720]) ).
thf(4981,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV177 ) @ ( collect_a @ SV489 ) )
= $true )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4721]) ).
thf(4982,plain,
! [SV489: a > $o,SV177: a > $o] :
( ( ( ! [SY2056: a] :
( ~ ( SV177 @ SY2056 )
| ( SV489 @ SY2056 ) ) )
= $true )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4722]) ).
thf(4983,plain,
! [SV489: a > $o,SV1031: a,SV177: a > $o] :
( ( ( ~ ( SV177 @ SV1031 )
| ( SV489 @ SV1031 ) )
= $true )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4724]) ).
thf(4984,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) @ SV754 )
| ( SV185
!= ( SV497 @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) ) ) ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4726]) ).
thf(4985,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV997 @ SV754 ) )
= $true )
| ( ( SV185
!= ( SV497 @ SV997 ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4727]) ).
thf(4986,plain,
! [SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a,SV903: $o > set_a,SV755: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK136_SY2069 @ SV755 @ SV903 @ SV186 @ SV498 ) @ ( sK161_SY2585 @ SV498 @ SV186 @ SV903 @ SV755 ) )
| ( ord_le318720350_set_a @ ( SV498 @ ( sK136_SY2069 @ SV755 @ SV903 @ SV186 @ SV498 ) ) @ ( SV498 @ ( sK161_SY2585 @ SV498 @ SV186 @ SV903 @ SV755 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4728]) ).
thf(4987,plain,
! [SV190: set_Pr204296108_a_a_e,SV502: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK63_SY2075 @ SV502 @ SV190 ) @ SV502 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV190 @ SV502 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4730]) ).
thf(4988,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4732]) ).
thf(4989,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a,SV999: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV999 @ SV764 ) )
= $true )
| ( ( SV197
!= ( image_a_set_a @ SV509 @ SV999 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4733]) ).
thf(4990,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4734]) ).
thf(4991,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4734]) ).
thf(4992,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4735]) ).
thf(4993,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4736]) ).
thf(4994,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ~ ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4737]) ).
thf(4995,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4737]) ).
thf(4996,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4738]) ).
thf(4997,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4739]) ).
thf(4998,plain,
! [SV771: set_set_set_a > set_a,SV206: set_set_set_a,SV906: set_a,SV518: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK137_SY2406 @ SV518 @ SV906 @ SV206 @ SV771 ) @ ( sK163_SY2586 @ SV771 @ SV206 @ SV906 @ SV518 ) )
| ( ord_less_eq_set_a @ ( SV771 @ ( sK137_SY2406 @ SV518 @ SV906 @ SV206 @ SV771 ) ) @ ( SV771 @ ( sK163_SY2586 @ SV771 @ SV206 @ SV906 @ SV518 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 )
= $true )
| ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4743]) ).
thf(4999,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV211 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4744]) ).
thf(5000,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ~ ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV523 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4744]) ).
thf(5001,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1032: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1032 @ SV525 )
| ( member1258382221_a_a_e @ SV1032 @ SV908 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4746]) ).
thf(5002,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 )
| ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4747]) ).
thf(5003,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4748]) ).
thf(5004,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4748]) ).
thf(5005,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) )
= $false )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4750]) ).
thf(5006,plain,
! [SV526: set_Pr204296108_a_a_e,SV909: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ~ ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4751]) ).
thf(5007,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ! [SV1033: a] :
( ( SV216 @ SV1033 )
= ( produc317566658_a_a_e @ SV528 @ SV1033 ) ) )
= $true )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4752]) ).
thf(5008,plain,
! [SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $true )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4752]) ).
thf(5009,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4753]) ).
thf(5010,plain,
! [SV528: produc715398134_a_a_e,SV1034: a,SV216: a > e] :
( ( ( ( SV216 @ SV1034 )
= ( produc317566658_a_a_e @ SV528 @ SV1034 ) )
= $true )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4754]) ).
thf(5011,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( SV528
!= ( produc1134456688_a_a_e @ ( sK164_SY2114 @ SV216 @ SV528 ) @ SV216 ) )
= $false )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4756]) ).
thf(5012,plain,
! [SV982: set_a,SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $true )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4757]) ).
thf(5013,plain,
! [SV982: set_a,SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ~ ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $true )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4758]) ).
thf(5014,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4761]) ).
thf(5015,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a,SV1001: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV1001 @ SV783 ) )
= $true )
| ( ( SV224
!= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4762]) ).
thf(5016,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) )
= $false )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4764]) ).
thf(5017,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ~ ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4765]) ).
thf(5018,plain,
! [SV227: set_Pr204296108_a_a_e,SV539: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK66_SY2127 @ SV539 @ SV227 ) @ SV539 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV227 @ SV539 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4767]) ).
thf(5019,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) )
= $false )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4769]) ).
thf(5020,plain,
! [SV540: set_Pr204296108_a_a_e,SV912: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ~ ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4770]) ).
thf(5021,plain,
! [SV786: $o > set_a,SV913: $o > set_a,SV230: $o > set_a,SV542: ( $o > set_a ) > $o > set_a] :
( ( ( ! [SY2132: $o > set_a,SY2133: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ SY2132 @ SY2133 )
| ( ord_less_eq_o_set_a @ ( SV542 @ SY2132 ) @ ( SV542 @ SY2133 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4771]) ).
thf(5022,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ! [SY2597: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ ( sK166_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ SY2597 )
| ( ord_less_eq_o_set_a @ ( SV542 @ ( sK166_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) ) @ ( SV542 @ SY2597 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4772]) ).
thf(5023,plain,
! [SV914: set_a,SV545: set_a,SV1035: a] :
( ( ( ~ ( member_a @ SV1035 @ SV545 )
| ( member_a @ SV1035 @ SV914 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4776]) ).
thf(5024,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 )
| ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4777]) ).
thf(5025,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 ) )
= $false )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4778]) ).
thf(5026,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4778]) ).
thf(5027,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) )
= $false )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4780]) ).
thf(5028,plain,
! [SV547: set_a,SV916: set_a] :
( ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ~ ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4781]) ).
thf(5029,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) )
= $false )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4783]) ).
thf(5030,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ~ ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4784]) ).
thf(5031,plain,
( ( member_set_a @ sK3_SX0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4785]) ).
thf(5032,plain,
( ( ord_less_eq_set_a @ a1 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4786]) ).
thf(5033,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ( SV244 != SV796 )
| ( SV555 != SV919 ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4788]) ).
thf(5034,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4789]) ).
thf(5035,plain,
! [SV800: set_a > set_a,SV249: set_a,SV921: set_a,SV559: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK138_SY2423 @ SV559 @ SV921 @ SV249 @ SV800 ) @ ( sK167_SY2587 @ SV800 @ SV249 @ SV921 @ SV559 ) )
| ( ord_less_eq_set_a @ ( SV800 @ ( sK138_SY2423 @ SV559 @ SV921 @ SV249 @ SV800 ) ) @ ( SV800 @ ( sK167_SY2587 @ SV800 @ SV249 @ SV921 @ SV559 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 )
= $true )
| ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4790]) ).
thf(5036,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4793]) ).
thf(5037,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1002 @ SV802 ) )
= $true )
| ( ( SV251
!= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4794]) ).
thf(5038,plain,
! [SV803: set_set_a > set_a,SV252: set_set_a,SV922: set_a,SV562: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK139_SY2427 @ SV562 @ SV922 @ SV252 @ SV803 ) @ ( sK169_SY2588 @ SV803 @ SV252 @ SV922 @ SV562 ) )
| ( ord_less_eq_set_a @ ( SV803 @ ( sK139_SY2427 @ SV562 @ SV922 @ SV252 @ SV803 ) ) @ ( SV803 @ ( sK169_SY2588 @ SV803 @ SV252 @ SV922 @ SV562 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 )
= $true )
| ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4795]) ).
thf(5039,plain,
! [SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a,SV923: $o > set_a,SV804: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK140_SY2170 @ SV804 @ SV923 @ SV253 @ SV563 ) @ ( sK170_SY2589 @ SV563 @ SV253 @ SV923 @ SV804 ) )
| ( ord_le2103863998_set_a @ ( SV563 @ ( sK140_SY2170 @ SV804 @ SV923 @ SV253 @ SV563 ) ) @ ( SV563 @ ( sK170_SY2589 @ SV563 @ SV253 @ SV923 @ SV804 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4796]) ).
thf(5040,plain,
! [SV258: a > e,SV567: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK141_SY2174 @ SV567 @ SV258 ) @ SV258 ) @ SV567 )
= $true )
| ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4801]) ).
thf(5041,plain,
! [SV983: set_a,SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( member_a_e @ SV258 @ ( range_set_a_a_e @ SV567 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4802]) ).
thf(5042,plain,
! [SV983: set_a,SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ~ ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4803]) ).
thf(5043,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4806]) ).
thf(5044,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a,SV1003: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1003 @ SV808 ) )
= $true )
| ( ( SV263
!= ( image_set_a_a @ SV572 @ SV1003 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4807]) ).
thf(5045,plain,
! [SV573: set_a > set_a,SV264: set_a,SV925: set_a,SV809: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK142_SY2182 @ SV809 @ SV925 @ SV264 @ SV573 ) @ ( sK172_SY2590 @ SV573 @ SV264 @ SV925 @ SV809 ) )
| ( ord_less_eq_set_a @ ( SV573 @ ( sK142_SY2182 @ SV809 @ SV925 @ SV264 @ SV573 ) ) @ ( SV573 @ ( sK172_SY2590 @ SV573 @ SV264 @ SV925 @ SV809 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4808]) ).
thf(5046,plain,
! [SV266: set_set_a,SV575: set_set_a] :
( ( ( member_set_a @ ( sK68_SY2185 @ SV575 @ SV266 ) @ SV575 )
= $false )
| ( ( ord_le318720350_set_a @ SV266 @ SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4811]) ).
thf(5047,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ( SV267 != SV811 )
| ( SV576 != SV926 ) )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4813]) ).
thf(5048,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4814]) ).
thf(5049,plain,
! [SV952: set_a > a > e,SV815: set_a,SV961: set_set_a,SV271: set_a,SV580: set_a > set_a,SV928: a > e] :
( ( ( ( SV928 @ ( sK173_SV1023 @ SV580 @ SV271 @ SV961 @ SV815 @ SV952 @ SV928 ) )
= ( SV952 @ SV815 @ ( sK173_SV1023 @ SV580 @ SV271 @ SV961 @ SV815 @ SV952 @ SV928 ) ) )
= $false )
| ( ( ~ ( member_set_a @ SV815 @ SV961 )
| ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) ) )
= $true )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4815]) ).
thf(5050,plain,
! [SV952: set_a > a > e,SV580: set_a > set_a,SV928: a > e,SV271: set_a,SV961: set_set_a,SV815: set_a] :
( ( ( ~ ( member_set_a @ SV815 @ SV961 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) )
= $true )
| ( ( SV928
= ( SV952 @ SV815 ) )
= $false )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4816]) ).
thf(5051,plain,
! [SV817: ( $o > set_a ) > set_a,SV275: $o > set_a,SV929: set_a,SV584: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK143_SY2448 @ SV584 @ SV929 @ SV275 @ SV817 ) @ ( sK174_SY2591 @ SV817 @ SV275 @ SV929 @ SV584 ) )
| ( ord_less_eq_set_a @ ( SV817 @ ( sK143_SY2448 @ SV584 @ SV929 @ SV275 @ SV817 ) ) @ ( SV817 @ ( sK174_SY2591 @ SV817 @ SV275 @ SV929 @ SV584 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 )
= $true )
| ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4817]) ).
thf(5052,plain,
! [SV276: set_a,SV585: set_a] :
( ( ( member_a @ ( sK73_SY2209 @ SV585 @ SV276 ) @ SV585 )
= $false )
| ( ( ord_less_eq_set_a @ SV276 @ SV585 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4819]) ).
thf(5053,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 != SV931 )
= $false )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4822]) ).
thf(5054,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4822]) ).
thf(5055,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4823]) ).
thf(5056,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4824]) ).
thf(5057,plain,
! [SV589: $o > set_a,SV931: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ~ ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4825]) ).
thf(5058,plain,
! [SV282: produc715398134_a_a_e > set_a,SV1005: set_a] :
( ( ( SV1005
= ( SV282 @ ( sK144_SY2575 @ SV282 @ SV1005 ) ) )
= $true )
| ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4826]) ).
thf(5059,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a] :
( ( ( ( image_64240033_set_a @ SV282 @ top_to1601855068_a_a_e )
= top_top_set_set_a )
= $true )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4827]) ).
thf(5060,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a] :
( ( ( ! [SY1703: set_a] :
~ ! [SY1704: produc715398134_a_a_e] :
( SY1703
!= ( SV282 @ SY1704 ) ) )
= $true )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4828]) ).
thf(5061,plain,
! [SV590: set_Pr204296108_a_a_e,SV821: produc715398134_a_a_e > set_a,SV932: produc715398134_a_a_e > set_a,SV953: set_set_a > set_a,SV283: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK125_SY2546 @ SV283 @ SV953 @ SV932 @ SV821 @ SV590 ) @ SV590 )
= $true )
| ( ( ( SV953 @ ( image_64240033_set_a @ SV821 @ SV283 ) )
= ( SV953 @ ( image_64240033_set_a @ SV932 @ SV590 ) ) )
= $true )
| ( ( SV283 = SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4829]) ).
thf(5062,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1036: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1036 @ SV594 )
| ( member1258382221_a_a_e @ SV1036 @ SV933 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4832]) ).
thf(5063,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 )
| ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4833]) ).
thf(5064,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4834]) ).
thf(5065,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4834]) ).
thf(5066,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ~ ! [SY2598: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2598 )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ SY2598 ) @ SV825 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4835]) ).
thf(5067,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV288 != SV1037 )
| ( SV595 != SV1006 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4836]) ).
thf(5068,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) )
= $false )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4838]) ).
thf(5069,plain,
! [SV600: set_set_set_a,SV934: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ~ ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4839]) ).
thf(5070,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4840]) ).
thf(5071,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV1007 @ SV830 ) )
= $true )
| ( ( SV294
!= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4841]) ).
thf(5072,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) )
= $false )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4843]) ).
thf(5073,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ~ ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4844]) ).
thf(5074,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) )
= $false )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4846]) ).
thf(5075,plain,
! [SV606: set_a,SV937: set_a] :
( ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ~ ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4847]) ).
thf(5076,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) )
= $false )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4849]) ).
thf(5077,plain,
! [SV607: set_set_a,SV938: set_set_a] :
( ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ~ ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4850]) ).
thf(5078,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4851]) ).
thf(5079,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a,SV1008: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1008 @ SV837 ) )
= $true )
| ( ( SV303
!= ( image_a_a @ SV610 @ SV1008 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4852]) ).
thf(5080,plain,
! [SV839: set_set_a > set_set_set_a,SV306: set_set_a,SV939: set_set_set_a,SV612: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK145_SY2465 @ SV612 @ SV939 @ SV306 @ SV839 ) @ ( sK178_SY2592 @ SV839 @ SV306 @ SV939 @ SV612 ) )
| ( ord_le2103863998_set_a @ ( SV839 @ ( sK145_SY2465 @ SV612 @ SV939 @ SV306 @ SV839 ) ) @ ( SV839 @ ( sK178_SY2592 @ SV839 @ SV306 @ SV939 @ SV612 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 )
= $true )
| ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4853]) ).
thf(5081,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV320 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4856]) ).
thf(5082,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ~ ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV626 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4856]) ).
thf(5083,plain,
! [SV627: set_Pr204296108_a_a_e,SV321: produc715398134_a_a_e > set_a,SV972: set_a,SV848: set_a > $o] :
( ( ( SV848 @ SV972 )
= $false )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( ~ ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4857]) ).
thf(5084,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 != SV943 )
= $false )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4859]) ).
thf(5085,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4859]) ).
thf(5086,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4860]) ).
thf(5087,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4861]) ).
thf(5088,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ~ ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4862]) ).
thf(5089,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4863]) ).
thf(5090,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a,SV1010: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1010 @ SV853 ) )
= $true )
| ( ( SV329
!= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4864]) ).
thf(5091,plain,
! [SV637: set_a,SV855: set_a > $o,SV331: set_a > $o] :
( ( ( ! [SY2477: set_a] :
( ~ ( SV331 @ SY2477 )
| ~ ! [SY1821: set_a] :
( ~ ( SV331 @ SY1821 )
| ( ord_less_eq_set_a @ SY1821 @ SY2477 ) )
| ( SV855 @ SY2477 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4865]) ).
thf(5092,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) )
| ~ ! [SY2599: set_a] :
( ~ ( SV331 @ SY2599 )
| ( ord_less_eq_set_a @ SY2599 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
| ( SV855 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4866]) ).
thf(5093,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1024: set_a] :
( ( ( ~ ( member_set_a @ SV1024 @ SV642 ) )
= $true )
| ( ( member_set_a @ ( SV336 @ SV1024 ) @ SV860 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4867]) ).
thf(5094,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 ) )
= $false )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4868]) ).
thf(5095,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a] :
( ( ( ~ ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $false )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4868]) ).
thf(5096,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $true )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4869]) ).
thf(5097,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a] :
( ( ( ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $true )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4870]) ).
thf(5098,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4871]) ).
thf(5099,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a,SV1011: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV1011 @ SV861 ) )
= $true )
| ( ( SV337
!= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4872]) ).
thf(5100,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1025: set_a] :
( ( ( ~ ( member_set_a @ SV1025 @ SV644 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ SV1025 ) @ SV862 )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4873]) ).
thf(5101,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 ) )
= $false )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4874]) ).
thf(5102,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a] :
( ( ( ~ ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $false )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4874]) ).
thf(5103,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4875]) ).
thf(5104,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a] :
( ( ( ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4876]) ).
thf(5105,plain,
! [SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ ( sK146_SY2303 @ SV646 @ SV340 ) ) @ SV646 )
= $true )
| ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4877]) ).
thf(5106,plain,
! [SV987: a > e,SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( member_set_a @ SV340 @ ( domain_set_a_a_e @ SV646 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4878]) ).
thf(5107,plain,
! [SV987: a > e,SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ~ ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4879]) ).
thf(5108,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $true )
| ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4880]) ).
thf(5109,plain,
! [SV362: set_Pr204296108_a_a_e,SV957: a > e,SV868: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $true )
| ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4881]) ).
thf(5110,plain,
! [SV957: a > e,SV868: set_a,SV362: set_Pr204296108_a_a_e] :
( ( ( fun_in_rel_set_a_a_e @ SV362 @ SV868 @ SV957 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4882]) ).
thf(5111,plain,
! [SV362: set_Pr204296108_a_a_e,SV957: a > e,SV868: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV868 @ SV957 ) @ SV362 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4883]) ).
thf(5112,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ! [SY2600: set_a] :
( ~ ( ord_less_eq_set_a @ ( sK182_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ SY2600 )
| ( ord_less_eq_o_set_a @ ( SV667 @ ( sK182_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) ) @ ( SV667 @ SY2600 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4885]) ).
thf(5113,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK147_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ ( sK183_SY2593 @ SV667 @ SV61 @ SV871 @ SV374 ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ ( sK147_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) ) @ ( SV667 @ ( sK183_SY2593 @ SV667 @ SV61 @ SV871 @ SV374 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4886]) ).
thf(5114,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4887]) ).
thf(5115,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4888]) ).
thf(5116,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ! [SV1038: $o] :
( ( SV377 @ SV1038 )
= ( SV872 @ SV1038 ) ) )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4889]) ).
thf(5117,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4889]) ).
thf(5118,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $false )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4890]) ).
thf(5119,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 != SV872 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4891]) ).
thf(5120,plain,
! [SV670: set_a > set_set_set_a,SV66: set_a,SV873: set_set_set_a,SV379: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK127_SY2322 @ SV379 @ SV873 @ SV66 @ SV670 ) @ ( sK148_SY2577 @ SV670 @ SV66 @ SV873 @ SV379 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 )
= $true )
| ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4892]) ).
thf(5121,plain,
! [SV66: set_a,SV873: set_set_set_a,SV379: set_a,SV670: set_a > set_set_set_a] :
( ( ( ord_le2103863998_set_a @ ( SV670 @ ( sK127_SY2322 @ SV379 @ SV873 @ SV66 @ SV670 ) ) @ ( SV670 @ ( sK148_SY2577 @ SV670 @ SV66 @ SV873 @ SV379 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 )
= $true )
| ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4892]) ).
thf(5122,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4893]) ).
thf(5123,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4894]) ).
thf(5124,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1039: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1039 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SV1039 ) )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4895]) ).
thf(5125,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1040: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1040 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SV1040 ) ) )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4896]) ).
thf(5126,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a] :
( ( ( ! [SY2325: set_a] :
( ~ ( ord_less_eq_set_a @ SY2325 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SY2325 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4897]) ).
thf(5127,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a] :
( ( ( ! [SY2326: set_a] :
( ~ ( ord_less_eq_set_a @ SY2326 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SY2326 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4898]) ).
thf(5128,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1041: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1041 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SV1041 ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4899]) ).
thf(5129,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1042: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1042 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SV1042 ) ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4900]) ).
thf(5130,plain,
! [SV676: set_a > set_a,SV74: set_a,SV874: set_a,SV387: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK128_SY2328 @ SV387 @ SV874 @ SV74 @ SV676 ) @ ( sK149_SY2578 @ SV676 @ SV74 @ SV874 @ SV387 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4901]) ).
thf(5131,plain,
! [SV74: set_a,SV874: set_a,SV387: set_a,SV676: set_a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV676 @ ( sK128_SY2328 @ SV387 @ SV874 @ SV74 @ SV676 ) ) @ ( SV676 @ ( sK149_SY2578 @ SV676 @ SV74 @ SV874 @ SV387 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4901]) ).
thf(5132,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ! [SY2601: set_set_a] :
( ~ ( ord_le318720350_set_a @ ( sK184_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ SY2601 )
| ( ord_less_eq_o_set_a @ ( SV678 @ ( sK184_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) ) @ ( SV678 @ SY2601 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4902]) ).
thf(5133,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK150_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ ( sK185_SY2594 @ SV678 @ SV76 @ SV875 @ SV389 ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ ( sK150_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) ) @ ( SV678 @ ( sK185_SY2594 @ SV678 @ SV76 @ SV875 @ SV389 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4903]) ).
thf(5134,plain,
! [SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e,SV876: $o > set_a,SV681: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK129_SY1914 @ SV681 @ SV876 @ SV79 @ SV392 ) @ ( sK151_SY2579 @ SV392 @ SV79 @ SV876 @ SV681 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4904]) ).
thf(5135,plain,
! [SV79: set_Pr204296108_a_a_e,SV876: $o > set_a,SV681: $o > set_a,SV392: ( $o > set_a ) > set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( SV392 @ ( sK129_SY1914 @ SV681 @ SV876 @ SV79 @ SV392 ) ) @ ( SV392 @ ( sK151_SY2579 @ SV392 @ SV79 @ SV876 @ SV681 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4904]) ).
thf(5136,plain,
! [SV394: set_a > set_a,SV81: set_a,SV878: set_a,SV683: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK130_SY1921 @ SV683 @ SV878 @ SV81 @ SV394 ) @ ( sK152_SY2580 @ SV394 @ SV81 @ SV878 @ SV683 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4905]) ).
thf(5137,plain,
! [SV81: set_a,SV878: set_a,SV683: set_a,SV394: set_a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV394 @ ( sK130_SY1921 @ SV683 @ SV878 @ SV81 @ SV394 ) ) @ ( SV394 @ ( sK152_SY2580 @ SV394 @ SV81 @ SV878 @ SV683 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4905]) ).
thf(5138,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1015: set_Pr204296108_a_a_e] :
( ( ( member1437121347_a_a_e @ SV1015 @ SV405 )
= $false )
| ( ( member_set_set_a @ ( SV92 @ SV1015 ) @ SV692 )
= $true )
| ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4906]) ).
thf(5139,plain,
! [SV692: set_set_set_a,SV405: set_se821189730_a_a_e,SV92: set_Pr204296108_a_a_e > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( image_1441218763_set_a @ SV92 @ SV405 ) @ SV692 )
= $true )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4907]) ).
thf(5140,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e] :
( ( ( ! [SY2346: set_Pr204296108_a_a_e] :
( ~ ( member1437121347_a_a_e @ SY2346 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SY2346 ) @ SV692 ) ) )
= $true )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4908]) ).
thf(5141,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1043: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1437121347_a_a_e @ SV1043 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SV1043 ) @ SV692 ) )
= $true )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4910]) ).
thf(5142,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 ) )
= $false )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4911]) ).
thf(5143,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) )
= $false )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4911]) ).
thf(5144,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ( SV406 != SV882 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4912]) ).
thf(5145,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1016: a] :
( ( ( member_a @ SV1016 @ SV407 )
= $false )
| ( ( member_a @ ( SV94 @ SV1016 ) @ SV694 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4913]) ).
thf(5146,plain,
! [SV694: set_a,SV407: set_a,SV94: a > a] :
( ( ( ord_less_eq_set_a @ ( image_a_a @ SV94 @ SV407 ) @ SV694 )
= $true )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4914]) ).
thf(5147,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a] :
( ( ( ! [SY2347: a] :
( ~ ( member_a @ SY2347 @ SV407 )
| ( member_a @ ( SV94 @ SY2347 ) @ SV694 ) ) )
= $true )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4915]) ).
thf(5148,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1044: a] :
( ( ( ~ ( member_a @ SV1044 @ SV407 )
| ( member_a @ ( SV94 @ SV1044 ) @ SV694 ) )
= $true )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4917]) ).
thf(5149,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4919]) ).
thf(5150,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4919]) ).
thf(5151,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4920]) ).
thf(5152,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1017: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1017 @ SV414 )
= $false )
| ( ( member_set_a @ ( SV102 @ SV1017 ) @ SV700 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4921]) ).
thf(5153,plain,
! [SV700: set_set_a,SV414: set_Pr204296108_a_a_e,SV102: produc715398134_a_a_e > set_a] :
( ( ( ord_le318720350_set_a @ ( image_64240033_set_a @ SV102 @ SV414 ) @ SV700 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4922]) ).
thf(5154,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e] :
( ( ( ! [SY2351: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2351 @ SV414 )
| ( member_set_a @ ( SV102 @ SY2351 ) @ SV700 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4923]) ).
thf(5155,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1045: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1045 @ SV414 )
| ( member_set_a @ ( SV102 @ SV1045 ) @ SV700 ) )
= $true )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4925]) ).
thf(5156,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 ) )
= $false )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4926]) ).
thf(5157,plain,
! [SV421: set_set_a,SV885: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) )
= $false )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4926]) ).
thf(5158,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ( SV421 != SV885 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4927]) ).
thf(5159,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2595: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2595 )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ SY2595 ) @ SV704 ) ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4928]) ).
thf(5160,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( ~ ( ~ ~ ( ( SV110 != SV1026 )
| ( SV422 != SV992 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) ) )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4929]) ).
thf(5161,plain,
! [SV949: produc715398134_a_a_e > a > e,SV424: produc715398134_a_a_e > set_a,SV886: a > e,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV706 @ SV959 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) )
= $true )
| ( ( ( SV886 @ ( sK154_SV1018 @ SV424 @ SV112 @ SV959 @ SV706 @ SV949 @ SV886 ) )
= ( SV949 @ SV706 @ ( sK154_SV1018 @ SV424 @ SV112 @ SV959 @ SV706 @ SV949 @ SV886 ) ) )
= $false )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4930]) ).
thf(5162,plain,
! [SV949: produc715398134_a_a_e > a > e,SV424: produc715398134_a_a_e > set_a,SV886: a > e,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV706 @ SV959 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) )
= $true )
| ( ( SV886
= ( SV949 @ SV706 ) )
= $false )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4931]) ).
thf(5163,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4932]) ).
thf(5164,plain,
! [SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a,SV993: set_set_a] :
( ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
!= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4933]) ).
thf(5165,plain,
! [SV710: set_set_a > set_set_a,SV117: set_set_a,SV888: set_set_a,SV429: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK131_SY2365 @ SV429 @ SV888 @ SV117 @ SV710 ) @ ( sK156_SY2581 @ SV710 @ SV117 @ SV888 @ SV429 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 )
= $true )
| ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4935]) ).
thf(5166,plain,
! [SV117: set_set_a,SV888: set_set_a,SV429: set_set_a,SV710: set_set_a > set_set_a] :
( ( ( ord_le318720350_set_a @ ( SV710 @ ( sK131_SY2365 @ SV429 @ SV888 @ SV117 @ SV710 ) ) @ ( SV710 @ ( sK156_SY2581 @ SV710 @ SV117 @ SV888 @ SV429 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 )
= $true )
| ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4935]) ).
thf(5167,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4936]) ).
thf(5168,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) )
= $false )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4936]) ).
thf(5169,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ! [SV1046: a] :
( ( produc317566658_a_a_e @ SV432 @ SV1046 )
= ( produc317566658_a_a_e @ SV889 @ SV1046 ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[4937]) ).
thf(5170,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[4937]) ).
thf(5171,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4938]) ).
thf(5172,plain,
! [SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a,SV994: set_set_a] :
( ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
!= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4939]) ).
thf(5173,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1019: set_a] :
( ( ( member_set_a @ SV1019 @ SV435 )
= $false )
| ( ( member_a @ ( SV123 @ SV1019 ) @ SV714 )
= $true )
| ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4940]) ).
thf(5174,plain,
! [SV714: set_a,SV435: set_set_a,SV123: set_a > a] :
( ( ( ord_less_eq_set_a @ ( image_set_a_a @ SV123 @ SV435 ) @ SV714 )
= $true )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4941]) ).
thf(5175,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a] :
( ( ( ! [SY2368: set_a] :
( ~ ( member_set_a @ SY2368 @ SV435 )
| ( member_a @ ( SV123 @ SY2368 ) @ SV714 ) ) )
= $true )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4942]) ).
thf(5176,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1047: set_a] :
( ( ( ~ ( member_set_a @ SV1047 @ SV435 )
| ( member_a @ ( SV123 @ SV1047 ) @ SV714 ) )
= $true )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4944]) ).
thf(5177,plain,
! [SV890: set_a,SV437: set_a,SV1027: a] :
( ( ( ~ ( member_a @ SV1027 @ SV437 ) )
= $true )
| ( ( member_a @ SV1027 @ SV890 )
= $true )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4945]) ).
thf(5178,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV437 @ SV890 ) )
= $false )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4946]) ).
thf(5179,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ~ ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $false )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4946]) ).
thf(5180,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4947]) ).
thf(5181,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4948]) ).
thf(5182,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ! [SY2582: a > e] :
~ ~ ( ( SV132
!= ( sK132_SY1995 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ SY2582 ) @ SV444 ) ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4949]) ).
thf(5183,plain,
! [SV444: set_Pr204296108_a_a_e,SV1020: a > e,SV975: set_a,SV132: set_a] :
( ( ( ( SV132 != SV975 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4950]) ).
thf(5184,plain,
! [SV138: $o > set_a,SV1048: $o,SV450: $o > set_a] :
( ( ( ( SV450 @ SV1048 )
= ( SV138 @ SV1048 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[4952]) ).
thf(5185,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( SV450 @ $true )
= ( SV138 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[4952]) ).
thf(5186,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( SV450 @ $false )
= ( SV138 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[4952]) ).
thf(5187,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV450 @ SV138 )
= $true )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4954]) ).
thf(5188,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $true )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4955]) ).
thf(5189,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ! [SV1049: $o] :
( ( SV450 @ SV1049 )
= ( SV138 @ SV1049 ) ) )
= $true )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4957]) ).
thf(5190,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $true )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4957]) ).
thf(5191,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 ) )
= $false )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4958]) ).
thf(5192,plain,
! [SV453: set_a,SV893: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) )
= $false )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4958]) ).
thf(5193,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ( SV453 != SV893 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4959]) ).
thf(5194,plain,
! [SV978: a > e,SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( ! [SY2007: a > e] :
( SV454
!= ( produc1134456688_a_a_e @ SV142 @ SY2007 ) ) )
= $false )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4962]) ).
thf(5195,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1029: set_a] :
( ( ( ~ ( member_set_a @ SV1029 @ SV462 ) )
= $true )
| ( ( member_set_a @ SV1029 @ SV894 )
= $true )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4963]) ).
thf(5196,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV462 @ SV894 ) )
= $false )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4964]) ).
thf(5197,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ~ ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $false )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4964]) ).
thf(5198,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4965]) ).
thf(5199,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4966]) ).
thf(5200,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV159 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4967]) ).
thf(5201,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV471 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4968]) ).
thf(5202,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SY2583: a > e] :
~ ~ ( ( SV161 != SY2583 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ SY2583 ) @ SV473 ) ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4969]) ).
thf(5203,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( ( SV161 != SV1021 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4970]) ).
thf(5204,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 ) )
= $false )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4971]) ).
thf(5205,plain,
! [SV474: set_set_set_a,SV897: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) )
= $false )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4971]) ).
thf(5206,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ( SV474 != SV897 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4972]) ).
thf(5207,plain,
! [SV165: set_set_a,SV742: set_a_e,SV898: set_a > ( a > e ) > $o,SV951: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ~ ( member_set_a @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SV165 ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4973]) ).
thf(5208,plain,
! [SV165: set_set_a,SV951: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV898: set_a > ( a > e ) > $o,SV742: set_a_e] :
( ( ( ! [SY2596: a > e] :
( ~ ( member_a_e @ SY2596 @ SV742 )
| ~ ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SY2596 )
| ( SV951 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SY2596 ) ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4973]) ).
thf(5209,plain,
! [SV744: set_a > set_set_a,SV169: set_a,SV899: set_set_a,SV481: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK135_SY2386 @ SV481 @ SV899 @ SV169 @ SV744 ) @ ( sK159_SY2584 @ SV744 @ SV169 @ SV899 @ SV481 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 )
= $true )
| ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4974]) ).
thf(5210,plain,
! [SV169: set_a,SV899: set_set_a,SV481: set_a,SV744: set_a > set_set_a] :
( ( ( ord_le318720350_set_a @ ( SV744 @ ( sK135_SY2386 @ SV481 @ SV899 @ SV169 @ SV744 ) ) @ ( SV744 @ ( sK159_SY2584 @ SV744 @ SV169 @ SV899 @ SV481 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 )
= $true )
| ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4974]) ).
thf(5211,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1030: set_a] :
( ( ( ~ ( member_set_a @ SV1030 @ SV483 ) )
= $true )
| ( ( member_set_a @ SV1030 @ SV900 )
= $true )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4975]) ).
thf(5212,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV483 @ SV900 ) )
= $false )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4976]) ).
thf(5213,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ~ ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $false )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4976]) ).
thf(5214,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4977]) ).
thf(5215,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4978]) ).
thf(5216,plain,
! [SV489: a > $o,SV1050: a,SV177: a > $o] :
( ( ( ~ ( SV177 @ SV1050 )
| ( SV489 @ SV1050 ) )
= $true )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4982]) ).
thf(5217,plain,
! [SV489: a > $o,SV1031: a,SV177: a > $o] :
( ( ( ~ ( SV177 @ SV1031 ) )
= $true )
| ( ( SV489 @ SV1031 )
= $true )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4983]) ).
thf(5218,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) @ SV754 )
| ( SV185
!= ( SV497 @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) ) ) ) )
= $true )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4984]) ).
thf(5219,plain,
! [SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
!= ( SV497 @ SV997 ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4985]) ).
thf(5220,plain,
! [SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a,SV903: $o > set_a,SV755: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK136_SY2069 @ SV755 @ SV903 @ SV186 @ SV498 ) @ ( sK161_SY2585 @ SV498 @ SV186 @ SV903 @ SV755 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4986]) ).
thf(5221,plain,
! [SV186: set_set_a,SV903: $o > set_a,SV755: $o > set_a,SV498: ( $o > set_a ) > set_set_a] :
( ( ( ord_le318720350_set_a @ ( SV498 @ ( sK136_SY2069 @ SV755 @ SV903 @ SV186 @ SV498 ) ) @ ( SV498 @ ( sK161_SY2585 @ SV498 @ SV186 @ SV903 @ SV755 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4986]) ).
thf(5222,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4988]) ).
thf(5223,plain,
! [SV509: a > set_a,SV197: set_set_a,SV764: set_a,SV999: set_a] :
( ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
!= ( image_a_set_a @ SV509 @ SV999 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4989]) ).
thf(5224,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4990]) ).
thf(5225,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4991]) ).
thf(5226,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1051: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1051 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SV1051 ) )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4992]) ).
thf(5227,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1052: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1052 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1052 ) ) )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4993]) ).
thf(5228,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a] :
( ( ( ! [SY2401: set_set_a] :
( ~ ( ord_le318720350_set_a @ SY2401 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SY2401 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4994]) ).
thf(5229,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e] :
( ( ( ! [SY2402: set_Pr204296108_a_a_e] :
( ~ ( ord_le700723212_a_a_e @ SY2402 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SY2402 ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4995]) ).
thf(5230,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1053: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1053 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SV1053 ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4996]) ).
thf(5231,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1054: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1054 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1054 ) ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4997]) ).
thf(5232,plain,
! [SV771: set_set_set_a > set_a,SV206: set_set_set_a,SV906: set_a,SV518: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK137_SY2406 @ SV518 @ SV906 @ SV206 @ SV771 ) @ ( sK163_SY2586 @ SV771 @ SV206 @ SV906 @ SV518 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 )
= $true )
| ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4998]) ).
thf(5233,plain,
! [SV206: set_set_set_a,SV906: set_a,SV518: set_set_set_a,SV771: set_set_set_a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV771 @ ( sK137_SY2406 @ SV518 @ SV906 @ SV206 @ SV771 ) ) @ ( SV771 @ ( sK163_SY2586 @ SV771 @ SV206 @ SV906 @ SV518 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 )
= $true )
| ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4998]) ).
thf(5234,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV211 )
= $true )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4999]) ).
thf(5235,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( ~ ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV523 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5000]) ).
thf(5236,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1032: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1032 @ SV525 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV1032 @ SV908 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5001]) ).
thf(5237,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV525 @ SV908 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5002]) ).
thf(5238,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5002]) ).
thf(5239,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5003]) ).
thf(5240,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5004]) ).
thf(5241,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 ) )
= $false )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5005]) ).
thf(5242,plain,
! [SV526: set_Pr204296108_a_a_e,SV909: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) )
= $false )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5005]) ).
thf(5243,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ( SV526 != SV909 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5006]) ).
thf(5244,plain,
! [SV528: produc715398134_a_a_e,SV1055: a,SV216: a > e] :
( ( ( ( SV216 @ SV1055 )
= ( produc317566658_a_a_e @ SV528 @ SV1055 ) )
= $true )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5007]) ).
thf(5245,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( SV528
!= ( produc1134456688_a_a_e @ ( sK186_SY2114 @ SV216 @ SV528 ) @ SV216 ) )
= $false )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5009]) ).
thf(5246,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( SV528
= ( produc1134456688_a_a_e @ ( sK164_SY2114 @ SV216 @ SV528 ) @ SV216 ) )
= $true )
| ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5011]) ).
thf(5247,plain,
! [SV982: set_a,SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( ! [SV1056: a] :
( ( SV216 @ SV1056 )
= ( produc317566658_a_a_e @ SV528 @ SV1056 ) ) )
= $true )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5012]) ).
thf(5248,plain,
! [SV982: set_a,SV528: produc715398134_a_a_e,SV216: a > e] :
( ( ( SV216
= ( produc317566658_a_a_e @ SV528 ) )
= $true )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5012]) ).
thf(5249,plain,
! [SV982: set_a,SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( ! [SY2114: set_a] :
( SV528
!= ( produc1134456688_a_a_e @ SY2114 @ SV216 ) ) )
= $false )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5013]) ).
thf(5250,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5014]) ).
thf(5251,plain,
! [SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a,SV1001: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
!= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5015]) ).
thf(5252,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 ) )
= $false )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5016]) ).
thf(5253,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) )
= $false )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5016]) ).
thf(5254,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ( SV537 != SV911 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5017]) ).
thf(5255,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 ) )
= $false )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5019]) ).
thf(5256,plain,
! [SV540: set_Pr204296108_a_a_e,SV912: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) )
= $false )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5019]) ).
thf(5257,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ( SV540 != SV912 )
| ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5020]) ).
thf(5258,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ! [SY2602: $o > set_a] :
( ~ ( ord_less_eq_o_set_a @ ( sK187_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ SY2602 )
| ( ord_less_eq_o_set_a @ ( SV542 @ ( sK187_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) ) @ ( SV542 @ SY2602 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5021]) ).
thf(5259,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK166_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ ( sK188_SY2597 @ SV542 @ SV230 @ SV913 @ SV786 ) )
| ( ord_less_eq_o_set_a @ ( SV542 @ ( sK166_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) ) @ ( SV542 @ ( sK188_SY2597 @ SV542 @ SV230 @ SV913 @ SV786 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5022]) ).
thf(5260,plain,
! [SV914: set_a,SV545: set_a,SV1035: a] :
( ( ( ~ ( member_a @ SV1035 @ SV545 ) )
= $true )
| ( ( member_a @ SV1035 @ SV914 )
= $true )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5023]) ).
thf(5261,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV545 @ SV914 ) )
= $false )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5024]) ).
thf(5262,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ~ ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $false )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5024]) ).
thf(5263,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5025]) ).
thf(5264,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5026]) ).
thf(5265,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 ) )
= $false )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5027]) ).
thf(5266,plain,
! [SV547: set_a,SV916: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) )
= $false )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5027]) ).
thf(5267,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ( SV547 != SV916 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5028]) ).
thf(5268,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 ) )
= $false )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5029]) ).
thf(5269,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) )
= $false )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5029]) ).
thf(5270,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ( SV549 != SV917 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5030]) ).
thf(5271,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 != SV796 )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5033]) ).
thf(5272,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 != SV919 )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5033]) ).
thf(5273,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( ! [SV1057: a] :
( ( SV555 @ SV1057 )
= ( SV919 @ SV1057 ) ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[5034]) ).
thf(5274,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[5034]) ).
thf(5275,plain,
! [SV800: set_a > set_a,SV249: set_a,SV921: set_a,SV559: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK138_SY2423 @ SV559 @ SV921 @ SV249 @ SV800 ) @ ( sK167_SY2587 @ SV800 @ SV249 @ SV921 @ SV559 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 )
= $true )
| ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5035]) ).
thf(5276,plain,
! [SV249: set_a,SV921: set_a,SV559: set_a,SV800: set_a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV800 @ ( sK138_SY2423 @ SV559 @ SV921 @ SV249 @ SV800 ) ) @ ( SV800 @ ( sK167_SY2587 @ SV800 @ SV249 @ SV921 @ SV559 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 )
= $true )
| ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5035]) ).
thf(5277,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5036]) ).
thf(5278,plain,
! [SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
!= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5037]) ).
thf(5279,plain,
! [SV803: set_set_a > set_a,SV252: set_set_a,SV922: set_a,SV562: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK139_SY2427 @ SV562 @ SV922 @ SV252 @ SV803 ) @ ( sK169_SY2588 @ SV803 @ SV252 @ SV922 @ SV562 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 )
= $true )
| ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5038]) ).
thf(5280,plain,
! [SV252: set_set_a,SV922: set_a,SV562: set_set_a,SV803: set_set_a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV803 @ ( sK139_SY2427 @ SV562 @ SV922 @ SV252 @ SV803 ) ) @ ( SV803 @ ( sK169_SY2588 @ SV803 @ SV252 @ SV922 @ SV562 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 )
= $true )
| ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5038]) ).
thf(5281,plain,
! [SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a,SV923: $o > set_a,SV804: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK140_SY2170 @ SV804 @ SV923 @ SV253 @ SV563 ) @ ( sK170_SY2589 @ SV563 @ SV253 @ SV923 @ SV804 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5039]) ).
thf(5282,plain,
! [SV253: set_set_set_a,SV923: $o > set_a,SV804: $o > set_a,SV563: ( $o > set_a ) > set_set_set_a] :
( ( ( ord_le2103863998_set_a @ ( SV563 @ ( sK140_SY2170 @ SV804 @ SV923 @ SV253 @ SV563 ) ) @ ( SV563 @ ( sK170_SY2589 @ SV563 @ SV253 @ SV923 @ SV804 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5039]) ).
thf(5283,plain,
! [SV983: set_a,SV567: set_Pr204296108_a_a_e,SV258: a > e] :
( ( ( ! [SY2174: set_a] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2174 @ SV258 ) @ SV567 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5042]) ).
thf(5284,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5043]) ).
thf(5285,plain,
! [SV572: set_a > a,SV263: set_a,SV808: set_set_a,SV1003: set_set_a] :
( ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
!= ( image_set_a_a @ SV572 @ SV1003 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5044]) ).
thf(5286,plain,
! [SV573: set_a > set_a,SV264: set_a,SV925: set_a,SV809: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK142_SY2182 @ SV809 @ SV925 @ SV264 @ SV573 ) @ ( sK172_SY2590 @ SV573 @ SV264 @ SV925 @ SV809 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5045]) ).
thf(5287,plain,
! [SV264: set_a,SV925: set_a,SV809: set_a,SV573: set_a > set_a] :
( ( ( ord_less_eq_set_a @ ( SV573 @ ( sK142_SY2182 @ SV809 @ SV925 @ SV264 @ SV573 ) ) @ ( SV573 @ ( sK172_SY2590 @ SV573 @ SV264 @ SV925 @ SV809 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5045]) ).
thf(5288,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 != SV811 )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5047]) ).
thf(5289,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 != SV926 )
= $false )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5047]) ).
thf(5290,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( ! [SV1058: a] :
( ( SV576 @ SV1058 )
= ( SV926 @ SV1058 ) ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[5048]) ).
thf(5291,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[5048]) ).
thf(5292,plain,
! [SV952: set_a > a > e,SV580: set_a > set_a,SV928: a > e,SV271: set_a,SV961: set_set_a,SV815: set_a] :
( ( ( ~ ( member_set_a @ SV815 @ SV961 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) )
= $true )
| ( ( ( SV928 @ ( sK173_SV1023 @ SV580 @ SV271 @ SV961 @ SV815 @ SV952 @ SV928 ) )
= ( SV952 @ SV815 @ ( sK173_SV1023 @ SV580 @ SV271 @ SV961 @ SV815 @ SV952 @ SV928 ) ) )
= $false )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5049]) ).
thf(5293,plain,
! [SV952: set_a > a > e,SV580: set_a > set_a,SV928: a > e,SV271: set_a,SV961: set_set_a,SV815: set_a] :
( ( ( member_set_a @ SV815 @ SV961 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) )
= $true )
| ( ( SV928
= ( SV952 @ SV815 ) )
= $false )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5050]) ).
thf(5294,plain,
! [SV817: ( $o > set_a ) > set_a,SV275: $o > set_a,SV929: set_a,SV584: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK143_SY2448 @ SV584 @ SV929 @ SV275 @ SV817 ) @ ( sK174_SY2591 @ SV817 @ SV275 @ SV929 @ SV584 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 )
= $true )
| ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5051]) ).
thf(5295,plain,
! [SV275: $o > set_a,SV929: set_a,SV584: $o > set_a,SV817: ( $o > set_a ) > set_a] :
( ( ( ord_less_eq_set_a @ ( SV817 @ ( sK143_SY2448 @ SV584 @ SV929 @ SV275 @ SV817 ) ) @ ( SV817 @ ( sK174_SY2591 @ SV817 @ SV275 @ SV929 @ SV584 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 )
= $true )
| ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5051]) ).
thf(5296,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5053]) ).
thf(5297,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5054]) ).
thf(5298,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ! [SV1059: $o] :
( ( SV589 @ SV1059 )
= ( SV931 @ SV1059 ) ) )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5055]) ).
thf(5299,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5055]) ).
thf(5300,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $false )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5056]) ).
thf(5301,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 != SV931 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5057]) ).
thf(5302,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a,SV1060: set_a] :
( ( ( ~ ! [SY2603: produc715398134_a_a_e] :
( SV1060
!= ( SV282 @ SY2603 ) ) )
= $true )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5060]) ).
thf(5303,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1036: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1036 @ SV594 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV1036 @ SV933 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5062]) ).
thf(5304,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV594 @ SV933 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5063]) ).
thf(5305,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5063]) ).
thf(5306,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5064]) ).
thf(5307,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5065]) ).
thf(5308,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2598: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2598 )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ SY2598 ) @ SV825 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5066]) ).
thf(5309,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( ~ ( ~ ~ ( ( SV288 != SV1037 )
| ( SV595 != SV1006 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5067]) ).
thf(5310,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 ) )
= $false )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5068]) ).
thf(5311,plain,
! [SV600: set_set_set_a,SV934: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) )
= $false )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5068]) ).
thf(5312,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ( SV600 != SV934 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5069]) ).
thf(5313,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5070]) ).
thf(5314,plain,
! [SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a,SV1007: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
!= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5071]) ).
thf(5315,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 ) )
= $false )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5072]) ).
thf(5316,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) )
= $false )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5072]) ).
thf(5317,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ( SV604 != SV935 )
| ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5073]) ).
thf(5318,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 ) )
= $false )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5074]) ).
thf(5319,plain,
! [SV606: set_a,SV937: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) )
= $false )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5074]) ).
thf(5320,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ( SV606 != SV937 )
| ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5075]) ).
thf(5321,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 ) )
= $false )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5076]) ).
thf(5322,plain,
! [SV607: set_set_a,SV938: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) )
= $false )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5076]) ).
thf(5323,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ( SV607 != SV938 )
| ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5077]) ).
thf(5324,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5078]) ).
thf(5325,plain,
! [SV610: a > a,SV303: set_a,SV837: set_a,SV1008: set_a] :
( ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
!= ( image_a_a @ SV610 @ SV1008 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5079]) ).
thf(5326,plain,
! [SV839: set_set_a > set_set_set_a,SV306: set_set_a,SV939: set_set_set_a,SV612: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK145_SY2465 @ SV612 @ SV939 @ SV306 @ SV839 ) @ ( sK178_SY2592 @ SV839 @ SV306 @ SV939 @ SV612 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 )
= $true )
| ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5080]) ).
thf(5327,plain,
! [SV306: set_set_a,SV939: set_set_set_a,SV612: set_set_a,SV839: set_set_a > set_set_set_a] :
( ( ( ord_le2103863998_set_a @ ( SV839 @ ( sK145_SY2465 @ SV612 @ SV939 @ SV306 @ SV839 ) ) @ ( SV839 @ ( sK178_SY2592 @ SV839 @ SV306 @ SV939 @ SV612 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 )
= $true )
| ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5080]) ).
thf(5328,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV320 )
= $true )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5081]) ).
thf(5329,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( ~ ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV626 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5082]) ).
thf(5330,plain,
! [SV972: set_a,SV321: produc715398134_a_a_e > set_a,SV848: set_a > $o,SV627: set_Pr204296108_a_a_e] :
( ( ( ! [SY2472: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2472 @ SV627 )
| ~ ( SV848 @ ( SV321 @ SY2472 ) ) ) )
= $false )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5083]) ).
thf(5331,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5084]) ).
thf(5332,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5085]) ).
thf(5333,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ! [SV1061: $o] :
( ( SV632 @ SV1061 )
= ( SV943 @ SV1061 ) ) )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5086]) ).
thf(5334,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5086]) ).
thf(5335,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $false )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5087]) ).
thf(5336,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 != SV943 )
| ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5088]) ).
thf(5337,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5089]) ).
thf(5338,plain,
! [SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a,SV1010: set_a] :
( ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
!= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $true )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5090]) ).
thf(5339,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) )
| ~ ! [SY2604: set_a] :
( ~ ( SV331 @ SY2604 )
| ( ord_less_eq_set_a @ SY2604 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
| ( SV855 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5091]) ).
thf(5340,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5092]) ).
thf(5341,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ! [SY2599: set_a] :
( ~ ( SV331 @ SY2599 )
| ( ord_less_eq_set_a @ SY2599 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
| ( SV855 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5092]) ).
thf(5342,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1024: set_a] :
( ( ( member_set_a @ SV1024 @ SV642 )
= $false )
| ( ( member_set_a @ ( SV336 @ SV1024 ) @ SV860 )
= $true )
| ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5093]) ).
thf(5343,plain,
! [SV860: set_set_a,SV642: set_set_a,SV336: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( image_set_a_set_a @ SV336 @ SV642 ) @ SV860 )
= $true )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5094]) ).
thf(5344,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a] :
( ( ( ! [SY2483: set_a] :
( ~ ( member_set_a @ SY2483 @ SV642 )
| ( member_set_a @ ( SV336 @ SY2483 ) @ SV860 ) ) )
= $true )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5095]) ).
thf(5345,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1062: set_a] :
( ( ( ~ ( member_set_a @ SV1062 @ SV642 )
| ( member_set_a @ ( SV336 @ SV1062 ) @ SV860 ) )
= $true )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5097]) ).
thf(5346,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5098]) ).
thf(5347,plain,
! [SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a,SV1011: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
!= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $true )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5099]) ).
thf(5348,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1025: set_a] :
( ( ( member_set_a @ SV1025 @ SV644 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV338 @ SV1025 ) @ SV862 )
= $true )
| ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5100]) ).
thf(5349,plain,
! [SV862: set_Pr204296108_a_a_e,SV644: set_set_a,SV338: set_a > produc715398134_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( image_210900495_a_a_e @ SV338 @ SV644 ) @ SV862 )
= $true )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5101]) ).
thf(5350,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a] :
( ( ( ! [SY2485: set_a] :
( ~ ( member_set_a @ SY2485 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SY2485 ) @ SV862 ) ) )
= $true )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5102]) ).
thf(5351,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1063: set_a] :
( ( ( ~ ( member_set_a @ SV1063 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SV1063 ) @ SV862 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5104]) ).
thf(5352,plain,
! [SV987: a > e,SV646: set_Pr204296108_a_a_e,SV340: set_a] :
( ( ( ! [SY2303: a > e] :
~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SY2303 ) @ SV646 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5107]) ).
thf(5353,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK182_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ ( sK190_SY2600 @ SV667 @ SV61 @ SV871 @ SV374 ) )
| ( ord_less_eq_o_set_a @ ( SV667 @ ( sK182_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) ) @ ( SV667 @ ( sK190_SY2600 @ SV667 @ SV61 @ SV871 @ SV374 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5112]) ).
thf(5354,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK147_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ ( sK183_SY2593 @ SV667 @ SV61 @ SV871 @ SV374 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5113]) ).
thf(5355,plain,
! [SV61: set_a,SV871: $o > set_a,SV374: set_a,SV667: set_a > $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( SV667 @ ( sK147_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) ) @ ( SV667 @ ( sK183_SY2593 @ SV667 @ SV61 @ SV871 @ SV374 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5113]) ).
thf(5356,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ! [SV1064: $o] :
( ( SV377 @ SV1064 )
= ( SV872 @ SV1064 ) ) )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5114]) ).
thf(5357,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5114]) ).
thf(5358,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $false )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5115]) ).
thf(5359,plain,
! [SV872: $o > set_a,SV1065: $o,SV377: $o > set_a] :
( ( ( ( SV377 @ SV1065 )
= ( SV872 @ SV1065 ) )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5116]) ).
thf(5360,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 @ $true )
= ( SV872 @ $true ) )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5116]) ).
thf(5361,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 @ $false )
= ( SV872 @ $false ) )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5116]) ).
thf(5362,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 ) )
= $false )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5118]) ).
thf(5363,plain,
! [SV377: $o > set_a,SV872: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $false )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5118]) ).
thf(5364,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 != SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5119]) ).
thf(5365,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5119]) ).
thf(5366,plain,
! [SV670: set_a > set_set_set_a,SV66: set_a,SV873: set_set_set_a,SV379: set_a] :
( ( ( ord_less_eq_set_a @ ( sK127_SY2322 @ SV379 @ SV873 @ SV66 @ SV670 ) @ ( sK148_SY2577 @ SV670 @ SV66 @ SV873 @ SV379 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( SV670 @ SV66 ) @ SV873 )
= $true )
| ( ( ( SV670 @ SV379 )
= SV873 )
= $false )
| ( ( ord_less_eq_set_a @ SV66 @ SV379 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5120]) ).
thf(5367,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1066: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1066 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SV1066 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5122]) ).
thf(5368,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1067: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1067 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SV1067 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5123]) ).
thf(5369,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1039: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1039 @ ( image_a_a @ SV70 @ SV383 ) ) )
= $true )
| ( ( SV673 @ SV1039 )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5124]) ).
thf(5370,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1040: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1040 @ SV383 ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1040 ) )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5125]) ).
thf(5371,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1068: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1068 @ ( image_a_a @ SV70 @ SV383 ) )
| ( SV673 @ SV1068 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5126]) ).
thf(5372,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1069: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1069 @ SV383 )
| ( SV673 @ ( image_a_a @ SV70 @ SV1069 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5127]) ).
thf(5373,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1041: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1041 @ ( image_a_a @ SV70 @ SV383 ) ) )
= $true )
| ( ( SV673 @ SV1041 )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5128]) ).
thf(5374,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1042: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1042 @ SV383 ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1042 ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5129]) ).
thf(5375,plain,
! [SV676: set_a > set_a,SV74: set_a,SV874: set_a,SV387: set_a] :
( ( ( ord_less_eq_set_a @ ( sK128_SY2328 @ SV387 @ SV874 @ SV74 @ SV676 ) @ ( sK149_SY2578 @ SV676 @ SV74 @ SV874 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV74 ) @ SV874 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV676 @ SV387 ) @ SV874 )
= $false )
| ( ( ord_less_eq_set_a @ SV74 @ SV387 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5130]) ).
thf(5376,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK184_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ ( sK191_SY2601 @ SV678 @ SV76 @ SV875 @ SV389 ) )
| ( ord_less_eq_o_set_a @ ( SV678 @ ( sK184_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) ) @ ( SV678 @ ( sK191_SY2601 @ SV678 @ SV76 @ SV875 @ SV389 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5132]) ).
thf(5377,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK150_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ ( sK185_SY2594 @ SV678 @ SV76 @ SV875 @ SV389 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5133]) ).
thf(5378,plain,
! [SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( SV678 @ ( sK150_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) ) @ ( SV678 @ ( sK185_SY2594 @ SV678 @ SV76 @ SV875 @ SV389 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5133]) ).
thf(5379,plain,
! [SV392: ( $o > set_a ) > set_Pr204296108_a_a_e,SV79: set_Pr204296108_a_a_e,SV876: $o > set_a,SV681: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( sK129_SY1914 @ SV681 @ SV876 @ SV79 @ SV392 ) @ ( sK151_SY2579 @ SV392 @ SV79 @ SV876 @ SV681 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV79 @ ( SV392 @ SV876 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV681 @ SV876 )
= $false )
| ( ( SV79
= ( SV392 @ SV681 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5134]) ).
thf(5380,plain,
! [SV394: set_a > set_a,SV81: set_a,SV878: set_a,SV683: set_a] :
( ( ( ord_less_eq_set_a @ ( sK130_SY1921 @ SV683 @ SV878 @ SV81 @ SV394 ) @ ( sK152_SY2580 @ SV394 @ SV81 @ SV878 @ SV683 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV878 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV683 @ SV878 )
= $false )
| ( ( ord_less_eq_set_a @ SV81 @ ( SV394 @ SV683 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5136]) ).
thf(5381,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1070: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1437121347_a_a_e @ SV1070 @ SV405 )
| ( member_set_set_a @ ( SV92 @ SV1070 ) @ SV692 ) )
= $true )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5140]) ).
thf(5382,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1043: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1437121347_a_a_e @ SV1043 @ SV405 ) )
= $true )
| ( ( member_set_set_a @ ( SV92 @ SV1043 ) @ SV692 )
= $true )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5141]) ).
thf(5383,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $true )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5142]) ).
thf(5384,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $true )
| ( ( SV406 = SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5143]) ).
thf(5385,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( SV406 != SV882 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5144]) ).
thf(5386,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5144]) ).
thf(5387,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1071: a] :
( ( ( ~ ( member_a @ SV1071 @ SV407 )
| ( member_a @ ( SV94 @ SV1071 ) @ SV694 ) )
= $true )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5147]) ).
thf(5388,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1044: a] :
( ( ( ~ ( member_a @ SV1044 @ SV407 ) )
= $true )
| ( ( member_a @ ( SV94 @ SV1044 ) @ SV694 )
= $true )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5148]) ).
thf(5389,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5149]) ).
thf(5390,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5150]) ).
thf(5391,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV410 @ SV884 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5151]) ).
thf(5392,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5151]) ).
thf(5393,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1072: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1072 @ SV414 )
| ( member_set_a @ ( SV102 @ SV1072 ) @ SV700 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5154]) ).
thf(5394,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1045: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1045 @ SV414 ) )
= $true )
| ( ( member_set_a @ ( SV102 @ SV1045 ) @ SV700 )
= $true )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5155]) ).
thf(5395,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $true )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5156]) ).
thf(5396,plain,
! [SV421: set_set_a,SV885: set_set_a] :
( ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $true )
| ( ( SV421 = SV885 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5157]) ).
thf(5397,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( SV421 != SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5158]) ).
thf(5398,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5158]) ).
thf(5399,plain,
! [SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2595: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2595 )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ SY2595 ) @ SV704 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5159]) ).
thf(5400,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110 != SV1026 )
| ( SV422 != SV992 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5160]) ).
thf(5401,plain,
! [SV949: produc715398134_a_a_e > a > e,SV424: produc715398134_a_a_e > set_a,SV886: a > e,SV112: set_a,SV959: set_Pr204296108_a_a_e,SV706: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV706 @ SV959 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV112 @ SV886 ) @ ( bNF_Gr2072183031_a_a_e @ SV959 @ SV424 @ SV949 ) )
= $true )
| ( ( ( SV886 @ ( sK154_SV1018 @ SV424 @ SV112 @ SV959 @ SV706 @ SV949 @ SV886 ) )
= ( SV949 @ SV706 @ ( sK154_SV1018 @ SV424 @ SV112 @ SV959 @ SV706 @ SV949 @ SV886 ) ) )
= $false )
| ( ( SV112
= ( SV424 @ SV706 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5161]) ).
thf(5402,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5163]) ).
thf(5403,plain,
! [SV707: set_set_a,SV993: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5164]) ).
thf(5404,plain,
! [SV710: set_set_a > set_set_a,SV117: set_set_a,SV888: set_set_a,SV429: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK131_SY2365 @ SV429 @ SV888 @ SV117 @ SV710 ) @ ( sK156_SY2581 @ SV710 @ SV117 @ SV888 @ SV429 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( SV710 @ SV117 ) @ SV888 )
= $true )
| ( ( ( SV710 @ SV429 )
= SV888 )
= $false )
| ( ( ord_le318720350_set_a @ SV117 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5165]) ).
thf(5405,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $true )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5167]) ).
thf(5406,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5168]) ).
thf(5407,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ~ ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5169]) ).
thf(5408,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5170]) ).
thf(5409,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5171]) ).
thf(5410,plain,
! [SV713: set_set_a,SV994: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5172]) ).
thf(5411,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1073: set_a] :
( ( ( ~ ( member_set_a @ SV1073 @ SV435 )
| ( member_a @ ( SV123 @ SV1073 ) @ SV714 ) )
= $true )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5175]) ).
thf(5412,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1047: set_a] :
( ( ( ~ ( member_set_a @ SV1047 @ SV435 ) )
= $true )
| ( ( member_a @ ( SV123 @ SV1047 ) @ SV714 )
= $true )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5176]) ).
thf(5413,plain,
! [SV890: set_a,SV437: set_a,SV1027: a] :
( ( ( member_a @ SV1027 @ SV437 )
= $false )
| ( ( member_a @ SV1027 @ SV890 )
= $true )
| ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5177]) ).
thf(5414,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ord_less_eq_set_a @ SV437 @ SV890 )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5178]) ).
thf(5415,plain,
! [SV890: set_a,SV437: set_a] :
( ( ( ! [SY2513: a] :
( ~ ( member_a @ SY2513 @ SV437 )
| ( member_a @ SY2513 @ SV890 ) ) )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5179]) ).
thf(5416,plain,
! [SV890: set_a,SV437: set_a,SV1074: a] :
( ( ( ~ ( member_a @ SV1074 @ SV437 )
| ( member_a @ SV1074 @ SV890 ) )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5181]) ).
thf(5417,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ~ ( ( SV132
!= ( sK132_SY1995 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ ( sK193_SY2582 @ SV444 @ SV132 ) ) @ SV444 ) ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5182]) ).
thf(5418,plain,
! [SV444: set_Pr204296108_a_a_e,SV1020: a > e,SV975: set_a,SV132: set_a] :
( ( ( SV132 != SV975 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5183]) ).
thf(5419,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ! [SV1075: $o] :
( ( SV450 @ SV1075 )
= ( SV138 @ SV1075 ) ) )
= $true )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5188]) ).
thf(5420,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( SV450 = SV138 )
= $true )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5188]) ).
thf(5421,plain,
! [SV138: $o > set_a,SV1076: $o,SV450: $o > set_a] :
( ( ( ( SV450 @ SV1076 )
= ( SV138 @ SV1076 ) )
= $true )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5189]) ).
thf(5422,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( SV450 @ $true )
= ( SV138 @ $true ) )
= $true )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5189]) ).
thf(5423,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( SV450 @ $false )
= ( SV138 @ $false ) )
= $true )
| ( ( SV450 = SV138 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5189]) ).
thf(5424,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $true )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5191]) ).
thf(5425,plain,
! [SV453: set_a,SV893: set_a] :
( ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $true )
| ( ( SV453 = SV893 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5192]) ).
thf(5426,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( SV453 != SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5193]) ).
thf(5427,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5193]) ).
thf(5428,plain,
! [SV978: a > e,SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( SV454
!= ( produc1134456688_a_a_e @ SV142 @ ( sK194_SY2007 @ SV978 @ SV142 @ SV454 ) ) )
= $false )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5194]) ).
thf(5429,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1029: set_a] :
( ( ( member_set_a @ SV1029 @ SV462 )
= $false )
| ( ( member_set_a @ SV1029 @ SV894 )
= $true )
| ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5195]) ).
thf(5430,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ord_le318720350_set_a @ SV462 @ SV894 )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5196]) ).
thf(5431,plain,
! [SV894: set_set_a,SV462: set_set_a] :
( ( ( ! [SY2514: set_a] :
( ~ ( member_set_a @ SY2514 @ SV462 )
| ( member_set_a @ SY2514 @ SV894 ) ) )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5197]) ).
thf(5432,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1077: set_a] :
( ( ( ~ ( member_set_a @ SV1077 @ SV462 )
| ( member_set_a @ SV1077 @ SV894 ) )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5199]) ).
thf(5433,plain,
! [SV159: set_Pr204296108_a_a_e,SV471: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK106_SY2029 @ SV471 @ SV159 ) @ SV471 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV471 @ SV159 )
= $false )
| ( ( SV159 = SV471 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5201]) ).
thf(5434,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ~ ( ( SV161
!= ( sK195_SY2583 @ SV473 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ ( sK195_SY2583 @ SV473 @ SV161 ) ) @ SV473 ) ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5202]) ).
thf(5435,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( SV161 != SV1021 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5203]) ).
thf(5436,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $true )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5204]) ).
thf(5437,plain,
! [SV474: set_set_set_a,SV897: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $true )
| ( ( SV474 = SV897 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5205]) ).
thf(5438,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( SV474 != SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5206]) ).
thf(5439,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5206]) ).
thf(5440,plain,
! [SV165: set_set_a,SV742: set_a_e,SV898: set_a > ( a > e ) > $o,SV951: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( member_set_a @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SV165 )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5207]) ).
thf(5441,plain,
! [SV742: set_a_e,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV951: set_a > ( a > e ) > $o,SV165: set_set_a] :
( ( ( ~ ( member_a_e @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) @ SV742 )
| ~ ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
| ( SV951 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5208]) ).
thf(5442,plain,
! [SV744: set_a > set_set_a,SV169: set_a,SV899: set_set_a,SV481: set_a] :
( ( ( ord_less_eq_set_a @ ( sK135_SY2386 @ SV481 @ SV899 @ SV169 @ SV744 ) @ ( sK159_SY2584 @ SV744 @ SV169 @ SV899 @ SV481 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( SV744 @ SV169 ) @ SV899 )
= $true )
| ( ( ( SV744 @ SV481 )
= SV899 )
= $false )
| ( ( ord_less_eq_set_a @ SV169 @ SV481 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5209]) ).
thf(5443,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1030: set_a] :
( ( ( member_set_a @ SV1030 @ SV483 )
= $false )
| ( ( member_set_a @ SV1030 @ SV900 )
= $true )
| ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5211]) ).
thf(5444,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ord_le318720350_set_a @ SV483 @ SV900 )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5212]) ).
thf(5445,plain,
! [SV900: set_set_a,SV483: set_set_a] :
( ( ( ! [SY2522: set_a] :
( ~ ( member_set_a @ SY2522 @ SV483 )
| ( member_set_a @ SY2522 @ SV900 ) ) )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5213]) ).
thf(5446,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1078: set_a] :
( ( ( ~ ( member_set_a @ SV1078 @ SV483 )
| ( member_set_a @ SV1078 @ SV900 ) )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5215]) ).
thf(5447,plain,
! [SV489: a > $o,SV1050: a,SV177: a > $o] :
( ( ( ~ ( SV177 @ SV1050 ) )
= $true )
| ( ( SV489 @ SV1050 )
= $true )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5216]) ).
thf(5448,plain,
! [SV489: a > $o,SV1031: a,SV177: a > $o] :
( ( ( SV177 @ SV1031 )
= $false )
| ( ( SV489 @ SV1031 )
= $true )
| ( ( SV489 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5217]) ).
thf(5449,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) @ SV754 )
| ( SV185
!= ( SV497 @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) ) ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5218]) ).
thf(5450,plain,
! [SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( SV185
= ( SV497 @ SV997 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5219]) ).
thf(5451,plain,
! [SV498: ( $o > set_a ) > set_set_a,SV186: set_set_a,SV903: $o > set_a,SV755: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( sK136_SY2069 @ SV755 @ SV903 @ SV186 @ SV498 ) @ ( sK161_SY2585 @ SV498 @ SV186 @ SV903 @ SV755 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV186 @ ( SV498 @ SV903 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV755 @ SV903 )
= $false )
| ( ( SV186
= ( SV498 @ SV755 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5220]) ).
thf(5452,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5222]) ).
thf(5453,plain,
! [SV764: set_a,SV999: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5223]) ).
thf(5454,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1079: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1079 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SV1079 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5224]) ).
thf(5455,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1080: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1080 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1080 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5225]) ).
thf(5456,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1051: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1051 @ ( image_64240033_set_a @ SV199 @ SV511 ) ) )
= $true )
| ( ( SV765 @ SV1051 )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5226]) ).
thf(5457,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1052: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1052 @ SV511 ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1052 ) )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5227]) ).
thf(5458,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1081: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1081 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
| ( SV765 @ SV1081 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5228]) ).
thf(5459,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1082: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1082 @ SV511 )
| ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1082 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5229]) ).
thf(5460,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1053: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1053 @ ( image_64240033_set_a @ SV199 @ SV511 ) ) )
= $true )
| ( ( SV765 @ SV1053 )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5230]) ).
thf(5461,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1054: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1054 @ SV511 ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1054 ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5231]) ).
thf(5462,plain,
! [SV771: set_set_set_a > set_a,SV206: set_set_set_a,SV906: set_a,SV518: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ ( sK137_SY2406 @ SV518 @ SV906 @ SV206 @ SV771 ) @ ( sK163_SY2586 @ SV771 @ SV206 @ SV906 @ SV518 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV771 @ SV206 ) @ SV906 )
= $true )
| ( ( ( SV771 @ SV518 )
= SV906 )
= $false )
| ( ( ord_le2103863998_set_a @ SV206 @ SV518 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5232]) ).
thf(5463,plain,
! [SV211: set_a,SV523: set_a] :
( ( ( member_a @ ( sK110_SY2109 @ SV523 @ SV211 ) @ SV523 )
= $false )
| ( ( ord_less_eq_set_a @ SV523 @ SV211 )
= $false )
| ( ( SV211 = SV523 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5235]) ).
thf(5464,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1032: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1032 @ SV525 )
= $false )
| ( ( member1258382221_a_a_e @ SV1032 @ SV908 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5236]) ).
thf(5465,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV525 @ SV908 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5237]) ).
thf(5466,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e] :
( ( ( ! [SY2529: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2529 @ SV525 )
| ( member1258382221_a_a_e @ SY2529 @ SV908 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5238]) ).
thf(5467,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1083: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1083 @ SV525 )
| ( member1258382221_a_a_e @ SV1083 @ SV908 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5240]) ).
thf(5468,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $true )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5241]) ).
thf(5469,plain,
! [SV526: set_Pr204296108_a_a_e,SV909: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $true )
| ( ( SV526 = SV909 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5242]) ).
thf(5470,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( SV526 != SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5243]) ).
thf(5471,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5243]) ).
thf(5472,plain,
! [SV216: a > e,SV528: produc715398134_a_a_e] :
( ( ( SV528
= ( produc1134456688_a_a_e @ ( sK186_SY2114 @ SV216 @ SV528 ) @ SV216 ) )
= $true )
| ( ( ( SV216 @ ( sK90_SV967 @ SV528 @ SV216 ) )
= ( produc317566658_a_a_e @ SV528 @ ( sK90_SV967 @ SV528 @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5245]) ).
thf(5473,plain,
! [SV982: set_a,SV528: produc715398134_a_a_e,SV1084: a,SV216: a > e] :
( ( ( ( SV216 @ SV1084 )
= ( produc317566658_a_a_e @ SV528 @ SV1084 ) )
= $true )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5247]) ).
thf(5474,plain,
! [SV216: a > e,SV982: set_a,SV528: produc715398134_a_a_e] :
( ( ( SV528
!= ( produc1134456688_a_a_e @ ( sK197_SY2114 @ SV982 @ SV216 @ SV528 ) @ SV216 ) )
= $false )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5249]) ).
thf(5475,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5250]) ).
thf(5476,plain,
! [SV783: set_set_set_a,SV1001: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5251]) ).
thf(5477,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $true )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5252]) ).
thf(5478,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $true )
| ( ( SV537 = SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5253]) ).
thf(5479,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( SV537 != SV911 )
= $false )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5254]) ).
thf(5480,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5254]) ).
thf(5481,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $true )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5255]) ).
thf(5482,plain,
! [SV540: set_Pr204296108_a_a_e,SV912: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $true )
| ( ( SV540 = SV912 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5256]) ).
thf(5483,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( SV540 != SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5257]) ).
thf(5484,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5257]) ).
thf(5485,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK187_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ ( sK198_SY2602 @ SV542 @ SV230 @ SV913 @ SV786 ) )
| ( ord_less_eq_o_set_a @ ( SV542 @ ( sK187_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) ) @ ( SV542 @ ( sK198_SY2602 @ SV542 @ SV230 @ SV913 @ SV786 ) ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5258]) ).
thf(5486,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK166_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ ( sK188_SY2597 @ SV542 @ SV230 @ SV913 @ SV786 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5259]) ).
thf(5487,plain,
! [SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( SV542 @ ( sK166_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) ) @ ( SV542 @ ( sK188_SY2597 @ SV542 @ SV230 @ SV913 @ SV786 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5259]) ).
thf(5488,plain,
! [SV914: set_a,SV545: set_a,SV1035: a] :
( ( ( member_a @ SV1035 @ SV545 )
= $false )
| ( ( member_a @ SV1035 @ SV914 )
= $true )
| ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5260]) ).
thf(5489,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ord_less_eq_set_a @ SV545 @ SV914 )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5261]) ).
thf(5490,plain,
! [SV914: set_a,SV545: set_a] :
( ( ( ! [SY2532: a] :
( ~ ( member_a @ SY2532 @ SV545 )
| ( member_a @ SY2532 @ SV914 ) ) )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5262]) ).
thf(5491,plain,
! [SV914: set_a,SV545: set_a,SV1085: a] :
( ( ( ~ ( member_a @ SV1085 @ SV545 )
| ( member_a @ SV1085 @ SV914 ) )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5264]) ).
thf(5492,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $true )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5265]) ).
thf(5493,plain,
! [SV547: set_a,SV916: set_a] :
( ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $true )
| ( ( SV547 = SV916 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5266]) ).
thf(5494,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( SV547 != SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5267]) ).
thf(5495,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5267]) ).
thf(5496,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $true )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5268]) ).
thf(5497,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $true )
| ( ( SV549 = SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5269]) ).
thf(5498,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( SV549 != SV917 )
= $false )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5270]) ).
thf(5499,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5270]) ).
thf(5500,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 = SV796 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5271]) ).
thf(5501,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5272]) ).
thf(5502,plain,
! [SV919: a > e,SV244: set_a,SV796: set_a,SV555: a > e] :
( ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5273]) ).
thf(5503,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5274]) ).
thf(5504,plain,
! [SV800: set_a > set_a,SV249: set_a,SV921: set_a,SV559: set_a] :
( ( ( ord_less_eq_set_a @ ( sK138_SY2423 @ SV559 @ SV921 @ SV249 @ SV800 ) @ ( sK167_SY2587 @ SV800 @ SV249 @ SV921 @ SV559 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV800 @ SV249 ) @ SV921 )
= $true )
| ( ( ( SV800 @ SV559 )
= SV921 )
= $false )
| ( ( ord_less_eq_set_a @ SV249 @ SV559 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5275]) ).
thf(5505,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5277]) ).
thf(5506,plain,
! [SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5278]) ).
thf(5507,plain,
! [SV803: set_set_a > set_a,SV252: set_set_a,SV922: set_a,SV562: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK139_SY2427 @ SV562 @ SV922 @ SV252 @ SV803 ) @ ( sK169_SY2588 @ SV803 @ SV252 @ SV922 @ SV562 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV803 @ SV252 ) @ SV922 )
= $true )
| ( ( ( SV803 @ SV562 )
= SV922 )
= $false )
| ( ( ord_le318720350_set_a @ SV252 @ SV562 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5279]) ).
thf(5508,plain,
! [SV563: ( $o > set_a ) > set_set_set_a,SV253: set_set_set_a,SV923: $o > set_a,SV804: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( sK140_SY2170 @ SV804 @ SV923 @ SV253 @ SV563 ) @ ( sK170_SY2589 @ SV563 @ SV253 @ SV923 @ SV804 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV253 @ ( SV563 @ SV923 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV804 @ SV923 )
= $false )
| ( ( SV253
= ( SV563 @ SV804 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5281]) ).
thf(5509,plain,
! [SV258: a > e,SV567: set_Pr204296108_a_a_e,SV983: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK200_SY2174 @ SV983 @ SV567 @ SV258 ) @ SV258 ) @ SV567 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5283]) ).
thf(5510,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5284]) ).
thf(5511,plain,
! [SV808: set_set_a,SV1003: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5285]) ).
thf(5512,plain,
! [SV573: set_a > set_a,SV264: set_a,SV925: set_a,SV809: set_a] :
( ( ( ord_less_eq_set_a @ ( sK142_SY2182 @ SV809 @ SV925 @ SV264 @ SV573 ) @ ( sK172_SY2590 @ SV573 @ SV264 @ SV925 @ SV809 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV264 @ ( SV573 @ SV925 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV809 @ SV925 )
= $false )
| ( ( SV264
= ( SV573 @ SV809 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5286]) ).
thf(5513,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 = SV811 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5288]) ).
thf(5514,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5289]) ).
thf(5515,plain,
! [SV926: a > e,SV267: set_a,SV811: set_a,SV576: a > e] :
( ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ~ ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5290]) ).
thf(5516,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5291]) ).
thf(5517,plain,
! [SV952: set_a > a > e,SV580: set_a > set_a,SV928: a > e,SV271: set_a,SV961: set_set_a,SV815: set_a] :
( ( ( member_set_a @ SV815 @ SV961 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV271 @ SV928 ) @ ( bNF_Gr1872575811_a_a_e @ SV961 @ SV580 @ SV952 ) )
= $true )
| ( ( ( SV928 @ ( sK173_SV1023 @ SV580 @ SV271 @ SV961 @ SV815 @ SV952 @ SV928 ) )
= ( SV952 @ SV815 @ ( sK173_SV1023 @ SV580 @ SV271 @ SV961 @ SV815 @ SV952 @ SV928 ) ) )
= $false )
| ( ( SV271
= ( SV580 @ SV815 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5292]) ).
thf(5518,plain,
! [SV817: ( $o > set_a ) > set_a,SV275: $o > set_a,SV929: set_a,SV584: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( sK143_SY2448 @ SV584 @ SV929 @ SV275 @ SV817 ) @ ( sK174_SY2591 @ SV817 @ SV275 @ SV929 @ SV584 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV817 @ SV275 ) @ SV929 )
= $true )
| ( ( ( SV817 @ SV584 )
= SV929 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV275 @ SV584 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5294]) ).
thf(5519,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ! [SV1086: $o] :
( ( SV589 @ SV1086 )
= ( SV931 @ SV1086 ) ) )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5296]) ).
thf(5520,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5296]) ).
thf(5521,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $false )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5297]) ).
thf(5522,plain,
! [SV931: $o > set_a,SV1087: $o,SV589: $o > set_a] :
( ( ( ( SV589 @ SV1087 )
= ( SV931 @ SV1087 ) )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5298]) ).
thf(5523,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 @ $true )
= ( SV931 @ $true ) )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5298]) ).
thf(5524,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 @ $false )
= ( SV931 @ $false ) )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5298]) ).
thf(5525,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 ) )
= $false )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5300]) ).
thf(5526,plain,
! [SV589: $o > set_a,SV931: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $false )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5300]) ).
thf(5527,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 != SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5301]) ).
thf(5528,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5301]) ).
thf(5529,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a,SV1060: set_a] :
( ( ( ! [SY2603: produc715398134_a_a_e] :
( SV1060
!= ( SV282 @ SY2603 ) ) )
= $false )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5302]) ).
thf(5530,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1036: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1036 @ SV594 )
= $false )
| ( ( member1258382221_a_a_e @ SV1036 @ SV933 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5303]) ).
thf(5531,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV594 @ SV933 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5304]) ).
thf(5532,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e] :
( ( ( ! [SY2547: produc715398134_a_a_e] :
( ~ ( member1258382221_a_a_e @ SY2547 @ SV594 )
| ( member1258382221_a_a_e @ SY2547 @ SV933 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5305]) ).
thf(5533,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1088: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1088 @ SV594 )
| ( member1258382221_a_a_e @ SV1088 @ SV933 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5307]) ).
thf(5534,plain,
! [SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2598: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2598 )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ SY2598 ) @ SV825 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5308]) ).
thf(5535,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288 != SV1037 )
| ( SV595 != SV1006 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5309]) ).
thf(5536,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $true )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5310]) ).
thf(5537,plain,
! [SV600: set_set_set_a,SV934: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $true )
| ( ( SV600 = SV934 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5311]) ).
thf(5538,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( SV600 != SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5312]) ).
thf(5539,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5312]) ).
thf(5540,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5313]) ).
thf(5541,plain,
! [SV830: set_set_set_a,SV1007: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5314]) ).
thf(5542,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $true )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5315]) ).
thf(5543,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $true )
| ( ( SV604 = SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5316]) ).
thf(5544,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( SV604 != SV935 )
= $false )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5317]) ).
thf(5545,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5317]) ).
thf(5546,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $true )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5318]) ).
thf(5547,plain,
! [SV606: set_a,SV937: set_a] :
( ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $true )
| ( ( SV606 = SV937 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5319]) ).
thf(5548,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( SV606 != SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5320]) ).
thf(5549,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5320]) ).
thf(5550,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $true )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5321]) ).
thf(5551,plain,
! [SV607: set_set_a,SV938: set_set_a] :
( ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $true )
| ( ( SV607 = SV938 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5322]) ).
thf(5552,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( SV607 != SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5323]) ).
thf(5553,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5323]) ).
thf(5554,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5324]) ).
thf(5555,plain,
! [SV837: set_a,SV1008: set_a,SV610: a > a,SV303: set_a] :
( ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5325]) ).
thf(5556,plain,
! [SV839: set_set_a > set_set_set_a,SV306: set_set_a,SV939: set_set_set_a,SV612: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK145_SY2465 @ SV612 @ SV939 @ SV306 @ SV839 ) @ ( sK178_SY2592 @ SV839 @ SV306 @ SV939 @ SV612 ) )
= $true )
| ( ( ord_le2103863998_set_a @ ( SV839 @ SV306 ) @ SV939 )
= $true )
| ( ( ( SV839 @ SV612 )
= SV939 )
= $false )
| ( ( ord_le318720350_set_a @ SV306 @ SV612 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5326]) ).
thf(5557,plain,
! [SV320: set_set_a,SV626: set_set_a] :
( ( ( member_set_a @ ( sK114_SY2269 @ SV626 @ SV320 ) @ SV626 )
= $false )
| ( ( ord_le318720350_set_a @ SV626 @ SV320 )
= $false )
| ( ( SV320 = SV626 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5329]) ).
thf(5558,plain,
! [SV627: set_Pr204296108_a_a_e,SV848: set_a > $o,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) @ SV627 )
| ~ ( SV848 @ ( SV321 @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) ) ) ) )
= $false )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5330]) ).
thf(5559,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ! [SV1089: $o] :
( ( SV632 @ SV1089 )
= ( SV943 @ SV1089 ) ) )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5331]) ).
thf(5560,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5331]) ).
thf(5561,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $false )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5332]) ).
thf(5562,plain,
! [SV943: $o > set_a,SV1090: $o,SV632: $o > set_a] :
( ( ( ( SV632 @ SV1090 )
= ( SV943 @ SV1090 ) )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5333]) ).
thf(5563,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 @ $true )
= ( SV943 @ $true ) )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5333]) ).
thf(5564,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 @ $false )
= ( SV943 @ $false ) )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5333]) ).
thf(5565,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 ) )
= $false )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5335]) ).
thf(5566,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $false )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5335]) ).
thf(5567,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 != SV943 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5336]) ).
thf(5568,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5336]) ).
thf(5569,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5337]) ).
thf(5570,plain,
! [SV853: set_a,SV1010: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5338]) ).
thf(5571,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5339]) ).
thf(5572,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ! [SY2604: set_a] :
( ~ ( SV331 @ SY2604 )
| ( ord_less_eq_set_a @ SY2604 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
| ( SV855 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5339]) ).
thf(5573,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( SV331 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5340]) ).
thf(5574,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ! [SY2599: set_a] :
( ~ ( SV331 @ SY2599 )
| ( ord_less_eq_set_a @ SY2599 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5341]) ).
thf(5575,plain,
! [SV331: set_a > $o,SV637: set_a,SV855: set_a > $o] :
( ( ( SV855 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5341]) ).
thf(5576,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1091: set_a] :
( ( ( ~ ( member_set_a @ SV1091 @ SV642 )
| ( member_set_a @ ( SV336 @ SV1091 ) @ SV860 ) )
= $true )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5344]) ).
thf(5577,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1062: set_a] :
( ( ( ~ ( member_set_a @ SV1062 @ SV642 ) )
= $true )
| ( ( member_set_a @ ( SV336 @ SV1062 ) @ SV860 )
= $true )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5345]) ).
thf(5578,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5346]) ).
thf(5579,plain,
! [SV861: set_set_set_a,SV1011: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( ~ ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5347]) ).
thf(5580,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1092: set_a] :
( ( ( ~ ( member_set_a @ SV1092 @ SV644 )
| ( member1258382221_a_a_e @ ( SV338 @ SV1092 ) @ SV862 ) )
= $true )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5350]) ).
thf(5581,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1063: set_a] :
( ( ( ~ ( member_set_a @ SV1063 @ SV644 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ SV1063 ) @ SV862 )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5351]) ).
thf(5582,plain,
! [SV646: set_Pr204296108_a_a_e,SV987: a > e,SV340: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ ( sK203_SY2303 @ SV987 @ SV646 @ SV340 ) ) @ SV646 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5352]) ).
thf(5583,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK182_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ ( sK190_SY2600 @ SV667 @ SV61 @ SV871 @ SV374 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5353]) ).
thf(5584,plain,
! [SV61: set_a,SV871: $o > set_a,SV374: set_a,SV667: set_a > $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( SV667 @ ( sK182_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) ) @ ( SV667 @ ( sK190_SY2600 @ SV667 @ SV61 @ SV871 @ SV374 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5353]) ).
thf(5585,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ord_less_eq_set_a @ ( sK147_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ ( sK183_SY2593 @ SV667 @ SV61 @ SV871 @ SV374 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 )
= SV871 )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5354]) ).
thf(5586,plain,
! [SV872: $o > set_a,SV1093: $o,SV377: $o > set_a] :
( ( ( ( SV377 @ SV1093 )
= ( SV872 @ SV1093 ) )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5356]) ).
thf(5587,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 @ $true )
= ( SV872 @ $true ) )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5356]) ).
thf(5588,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 @ $false )
= ( SV872 @ $false ) )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5356]) ).
thf(5589,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 ) )
= $false )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5358]) ).
thf(5590,plain,
! [SV377: $o > set_a,SV872: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $false )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5358]) ).
thf(5591,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5362]) ).
thf(5592,plain,
! [SV377: $o > set_a,SV872: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $true )
| ( ( SV377 = SV872 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5363]) ).
thf(5593,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5364]) ).
thf(5594,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5365]) ).
thf(5595,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1066: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1066 @ ( image_a_a @ SV70 @ SV383 ) ) )
= $true )
| ( ( SV673 @ SV1066 )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5367]) ).
thf(5596,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1067: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1067 @ SV383 ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1067 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5368]) ).
thf(5597,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1039: set_a] :
( ( ( ord_less_eq_set_a @ SV1039 @ ( image_a_a @ SV70 @ SV383 ) )
= $false )
| ( ( SV673 @ SV1039 )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5369]) ).
thf(5598,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1040: set_a] :
( ( ( ord_less_eq_set_a @ SV1040 @ SV383 )
= $false )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1040 ) )
= $true )
| ( ( SV673 @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5370]) ).
thf(5599,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1068: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1068 @ ( image_a_a @ SV70 @ SV383 ) ) )
= $true )
| ( ( SV673 @ SV1068 )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5371]) ).
thf(5600,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1069: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV1069 @ SV383 ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1069 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5372]) ).
thf(5601,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1041: set_a] :
( ( ( ord_less_eq_set_a @ SV1041 @ ( image_a_a @ SV70 @ SV383 ) )
= $false )
| ( ( SV673 @ SV1041 )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5373]) ).
thf(5602,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1042: set_a] :
( ( ( ord_less_eq_set_a @ SV1042 @ SV383 )
= $false )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1042 ) )
= $true )
| ( ( SV673 @ ( image_a_a @ SV70 @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5374]) ).
thf(5603,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK184_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ ( sK191_SY2601 @ SV678 @ SV76 @ SV875 @ SV389 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5376]) ).
thf(5604,plain,
! [SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a,SV678: set_set_a > $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( SV678 @ ( sK184_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) ) @ ( SV678 @ ( sK191_SY2601 @ SV678 @ SV76 @ SV875 @ SV389 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5376]) ).
thf(5605,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK150_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ ( sK185_SY2594 @ SV678 @ SV76 @ SV875 @ SV389 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 )
= SV875 )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5377]) ).
thf(5606,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1070: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1437121347_a_a_e @ SV1070 @ SV405 ) )
= $true )
| ( ( member_set_set_a @ ( SV92 @ SV1070 ) @ SV692 )
= $true )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5381]) ).
thf(5607,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1043: set_Pr204296108_a_a_e] :
( ( ( member1437121347_a_a_e @ SV1043 @ SV405 )
= $false )
| ( ( member_set_set_a @ ( SV92 @ SV1043 ) @ SV692 )
= $true )
| ( ( member_set_set_a @ ( SV92 @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) ) @ SV692 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5382]) ).
thf(5608,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( SV406 = SV882 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5385]) ).
thf(5609,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5386]) ).
thf(5610,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1071: a] :
( ( ( ~ ( member_a @ SV1071 @ SV407 ) )
= $true )
| ( ( member_a @ ( SV94 @ SV1071 ) @ SV694 )
= $true )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5387]) ).
thf(5611,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1044: a] :
( ( ( member_a @ SV1044 @ SV407 )
= $false )
| ( ( member_a @ ( SV94 @ SV1044 ) @ SV694 )
= $true )
| ( ( member_a @ ( SV94 @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) ) @ SV694 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5388]) ).
thf(5612,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV410 @ SV884 )
= $true )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5391]) ).
thf(5613,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5392]) ).
thf(5614,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1072: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1072 @ SV414 ) )
= $true )
| ( ( member_set_a @ ( SV102 @ SV1072 ) @ SV700 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5393]) ).
thf(5615,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1045: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1045 @ SV414 )
= $false )
| ( ( member_set_a @ ( SV102 @ SV1045 ) @ SV700 )
= $true )
| ( ( member_set_a @ ( SV102 @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) ) @ SV700 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5394]) ).
thf(5616,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( SV421 = SV885 )
= $true )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5397]) ).
thf(5617,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5398]) ).
thf(5618,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ~ ~ ( ( SV110
!= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) ) @ SV704 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5399]) ).
thf(5619,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110 != SV1026 )
| ( SV422 != SV992 ) ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5400]) ).
thf(5620,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) @ SV707 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5402]) ).
thf(5621,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5402]) ).
thf(5622,plain,
! [SV993: set_set_a,SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
| ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5403]) ).
thf(5623,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ! [SV1094: a] :
( ( produc317566658_a_a_e @ SV432 @ SV1094 )
= ( produc317566658_a_a_e @ SV889 @ SV1094 ) ) )
= $true )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5406]) ).
thf(5624,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5406]) ).
thf(5625,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( SV432 != SV889 )
| ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5407]) ).
thf(5626,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 != SV889 )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5408]) ).
thf(5627,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5408]) ).
thf(5628,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) @ SV713 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5409]) ).
thf(5629,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5409]) ).
thf(5630,plain,
! [SV994: set_set_a,SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
| ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5410]) ).
thf(5631,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1073: set_a] :
( ( ( ~ ( member_set_a @ SV1073 @ SV435 ) )
= $true )
| ( ( member_a @ ( SV123 @ SV1073 ) @ SV714 )
= $true )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5411]) ).
thf(5632,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1047: set_a] :
( ( ( member_set_a @ SV1047 @ SV435 )
= $false )
| ( ( member_a @ ( SV123 @ SV1047 ) @ SV714 )
= $true )
| ( ( member_a @ ( SV123 @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) ) @ SV714 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5412]) ).
thf(5633,plain,
! [SV890: set_a,SV437: set_a,SV1095: a] :
( ( ( ~ ( member_a @ SV1095 @ SV437 )
| ( member_a @ SV1095 @ SV890 ) )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5415]) ).
thf(5634,plain,
! [SV890: set_a,SV437: set_a,SV1074: a] :
( ( ( ~ ( member_a @ SV1074 @ SV437 ) )
= $true )
| ( ( member_a @ SV1074 @ SV890 )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5416]) ).
thf(5635,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ( ( SV132
!= ( sK132_SY1995 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ ( sK193_SY2582 @ SV444 @ SV132 ) ) @ SV444 ) ) )
= $true )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5417]) ).
thf(5636,plain,
! [SV444: set_Pr204296108_a_a_e,SV1020: a > e,SV975: set_a,SV132: set_a] :
( ( ( SV132 = SV975 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 ) )
= $true )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5418]) ).
thf(5637,plain,
! [SV138: $o > set_a,SV1096: $o,SV450: $o > set_a] :
( ( ( ( SV450 @ SV1096 )
= ( SV138 @ SV1096 ) )
= $true )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5419]) ).
thf(5638,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( SV450 @ $true )
= ( SV138 @ $true ) )
= $true )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5419]) ).
thf(5639,plain,
! [SV138: $o > set_a,SV450: $o > set_a] :
( ( ( ( SV450 @ $false )
= ( SV138 @ $false ) )
= $true )
| ( ( ( SV450 @ ( sK122_SV996 @ SV138 @ SV450 ) )
= ( SV138 @ ( sK122_SV996 @ SV138 @ SV450 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV138 @ SV450 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5419]) ).
thf(5640,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( SV453 = SV893 )
= $true )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5426]) ).
thf(5641,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5427]) ).
thf(5642,plain,
! [SV978: a > e,SV142: set_a,SV454: produc715398134_a_a_e] :
( ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ ( sK194_SY2007 @ SV978 @ SV142 @ SV454 ) ) )
= $true )
| ( ( SV454
= ( produc1134456688_a_a_e @ SV142 @ SV978 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5428]) ).
thf(5643,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1097: set_a] :
( ( ( ~ ( member_set_a @ SV1097 @ SV462 )
| ( member_set_a @ SV1097 @ SV894 ) )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5431]) ).
thf(5644,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1077: set_a] :
( ( ( ~ ( member_set_a @ SV1077 @ SV462 ) )
= $true )
| ( ( member_set_a @ SV1077 @ SV894 )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5432]) ).
thf(5645,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( ( SV161
!= ( sK195_SY2583 @ SV473 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ ( sK195_SY2583 @ SV473 @ SV161 ) ) @ SV473 ) ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5434]) ).
thf(5646,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( SV161 = SV1021 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5435]) ).
thf(5647,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( SV474 = SV897 )
= $true )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5438]) ).
thf(5648,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5439]) ).
thf(5649,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( member_set_a @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SV165 )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5440]) ).
thf(5650,plain,
! [SV742: set_a_e,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV951: set_a > ( a > e ) > $o,SV165: set_set_a] :
( ( ( ~ ( member_a_e @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) @ SV742 ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5441]) ).
thf(5651,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV898: set_a > ( a > e ) > $o] :
( ( ( ~ ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
| ( SV951 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5441]) ).
thf(5652,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1098: set_a] :
( ( ( ~ ( member_set_a @ SV1098 @ SV483 )
| ( member_set_a @ SV1098 @ SV900 ) )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5445]) ).
thf(5653,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1078: set_a] :
( ( ( ~ ( member_set_a @ SV1078 @ SV483 ) )
= $true )
| ( ( member_set_a @ SV1078 @ SV900 )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5446]) ).
thf(5654,plain,
! [SV489: a > $o,SV1050: a,SV177: a > $o] :
( ( ( SV177 @ SV1050 )
= $false )
| ( ( SV489 @ SV1050 )
= $true )
| ( ( SV177 @ ( sK61_SY2056 @ SV489 @ SV177 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5447]) ).
thf(5655,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) @ SV754 ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5449]) ).
thf(5656,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( SV185
!= ( SV497 @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) ) )
= $false )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5449]) ).
thf(5657,plain,
! [SV997: produc715398134_a_a_e,SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
| ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5450]) ).
thf(5658,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) @ SV764 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5452]) ).
thf(5659,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( SV197
!= ( image_a_set_a @ SV509 @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5452]) ).
thf(5660,plain,
! [SV999: set_a,SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
| ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5453]) ).
thf(5661,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1079: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1079 @ ( image_64240033_set_a @ SV199 @ SV511 ) ) )
= $true )
| ( ( SV765 @ SV1079 )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5454]) ).
thf(5662,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1080: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1080 @ SV511 ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1080 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5455]) ).
thf(5663,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1051: set_set_a] :
( ( ( ord_le318720350_set_a @ SV1051 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $false )
| ( ( SV765 @ SV1051 )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5456]) ).
thf(5664,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1052: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV1052 @ SV511 )
= $false )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1052 ) )
= $true )
| ( ( SV765 @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5457]) ).
thf(5665,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1081: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV1081 @ ( image_64240033_set_a @ SV199 @ SV511 ) ) )
= $true )
| ( ( SV765 @ SV1081 )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5458]) ).
thf(5666,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1082: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV1082 @ SV511 ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1082 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5459]) ).
thf(5667,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1053: set_set_a] :
( ( ( ord_le318720350_set_a @ SV1053 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $false )
| ( ( SV765 @ SV1053 )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5460]) ).
thf(5668,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1054: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV1054 @ SV511 )
= $false )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1054 ) )
= $true )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5461]) ).
thf(5669,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1099: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1099 @ SV525 )
| ( member1258382221_a_a_e @ SV1099 @ SV908 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5466]) ).
thf(5670,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1083: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1083 @ SV525 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV1083 @ SV908 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5467]) ).
thf(5671,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( SV526 = SV909 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5470]) ).
thf(5672,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5471]) ).
thf(5673,plain,
! [SV216: a > e,SV982: set_a,SV528: produc715398134_a_a_e] :
( ( ( SV528
= ( produc1134456688_a_a_e @ ( sK197_SY2114 @ SV982 @ SV216 @ SV528 ) @ SV216 ) )
= $true )
| ( ( SV528
= ( produc1134456688_a_a_e @ SV982 @ SV216 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5474]) ).
thf(5674,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) @ SV783 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5475]) ).
thf(5675,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5475]) ).
thf(5676,plain,
! [SV1001: set_set_set_a,SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
| ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5476]) ).
thf(5677,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( SV537 = SV911 )
= $true )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5479]) ).
thf(5678,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5480]) ).
thf(5679,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( SV540 = SV912 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5483]) ).
thf(5680,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5484]) ).
thf(5681,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ ( sK187_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ ( sK198_SY2602 @ SV542 @ SV230 @ SV913 @ SV786 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5485]) ).
thf(5682,plain,
! [SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a,SV542: ( $o > set_a ) > $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( SV542 @ ( sK187_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) ) @ ( SV542 @ ( sK198_SY2602 @ SV542 @ SV230 @ SV913 @ SV786 ) ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5485]) ).
thf(5683,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( sK166_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ ( sK188_SY2597 @ SV542 @ SV230 @ SV913 @ SV786 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( SV230
= ( SV542 @ SV786 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5486]) ).
thf(5684,plain,
! [SV914: set_a,SV545: set_a,SV1100: a] :
( ( ( ~ ( member_a @ SV1100 @ SV545 )
| ( member_a @ SV1100 @ SV914 ) )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5490]) ).
thf(5685,plain,
! [SV914: set_a,SV545: set_a,SV1085: a] :
( ( ( ~ ( member_a @ SV1085 @ SV545 ) )
= $true )
| ( ( member_a @ SV1085 @ SV914 )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5491]) ).
thf(5686,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( SV547 = SV916 )
= $true )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5494]) ).
thf(5687,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5495]) ).
thf(5688,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( SV549 = SV917 )
= $true )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5498]) ).
thf(5689,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5499]) ).
thf(5690,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( ! [SV1101: a] :
( ( SV555 @ SV1101 )
= ( SV919 @ SV1101 ) ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5501]) ).
thf(5691,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5501]) ).
thf(5692,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
| ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5502]) ).
thf(5693,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5503]) ).
thf(5694,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5503]) ).
thf(5695,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) @ SV802 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5505]) ).
thf(5696,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5505]) ).
thf(5697,plain,
! [SV1002: set_Pr204296108_a_a_e,SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
| ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5506]) ).
thf(5698,plain,
! [SV258: a > e,SV567: set_Pr204296108_a_a_e,SV983: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK200_SY2174 @ SV983 @ SV567 @ SV258 ) @ SV258 ) @ SV567 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV983 @ SV258 ) @ SV567 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5509]) ).
thf(5699,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) @ SV808 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5510]) ).
thf(5700,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( SV263
!= ( image_set_a_a @ SV572 @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5510]) ).
thf(5701,plain,
! [SV1003: set_set_a,SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
| ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5511]) ).
thf(5702,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( ! [SV1102: a] :
( ( SV576 @ SV1102 )
= ( SV926 @ SV1102 ) ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5514]) ).
thf(5703,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5514]) ).
thf(5704,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
| ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5515]) ).
thf(5705,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5516]) ).
thf(5706,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5516]) ).
thf(5707,plain,
! [SV931: $o > set_a,SV1103: $o,SV589: $o > set_a] :
( ( ( ( SV589 @ SV1103 )
= ( SV931 @ SV1103 ) )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5519]) ).
thf(5708,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 @ $true )
= ( SV931 @ $true ) )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5519]) ).
thf(5709,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 @ $false )
= ( SV931 @ $false ) )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5519]) ).
thf(5710,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 ) )
= $false )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5521]) ).
thf(5711,plain,
! [SV589: $o > set_a,SV931: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $false )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5521]) ).
thf(5712,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5525]) ).
thf(5713,plain,
! [SV589: $o > set_a,SV931: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $true )
| ( ( SV589 = SV931 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5526]) ).
thf(5714,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5527]) ).
thf(5715,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5528]) ).
thf(5716,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a,SV1060: set_a] :
( ( ( SV1060
!= ( SV282 @ ( sK205_SY2603 @ SV984 @ SV282 @ SV1060 ) ) )
= $false )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5529]) ).
thf(5717,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1104: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1104 @ SV594 )
| ( member1258382221_a_a_e @ SV1104 @ SV933 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5532]) ).
thf(5718,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1088: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1088 @ SV594 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV1088 @ SV933 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5533]) ).
thf(5719,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV288
!= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) ) @ SV825 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5534]) ).
thf(5720,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288 != SV1037 )
| ( SV595 != SV1006 ) ) )
= $true )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5535]) ).
thf(5721,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( SV600 = SV934 )
= $true )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5538]) ).
thf(5722,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5539]) ).
thf(5723,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) @ SV830 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5540]) ).
thf(5724,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5540]) ).
thf(5725,plain,
! [SV1007: set_set_set_a,SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
| ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5541]) ).
thf(5726,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( SV604 = SV935 )
= $true )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5544]) ).
thf(5727,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5545]) ).
thf(5728,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( SV606 = SV937 )
= $true )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5548]) ).
thf(5729,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5549]) ).
thf(5730,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( SV607 = SV938 )
= $true )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5552]) ).
thf(5731,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5553]) ).
thf(5732,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) @ SV837 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5554]) ).
thf(5733,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( SV303
!= ( image_a_a @ SV610 @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5554]) ).
thf(5734,plain,
! [SV1008: set_a,SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
| ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5555]) ).
thf(5735,plain,
! [SV627: set_Pr204296108_a_a_e,SV848: set_a > $o,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) @ SV627 )
| ~ ( SV848 @ ( SV321 @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) ) ) ) )
= $true )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5558]) ).
thf(5736,plain,
! [SV943: $o > set_a,SV1105: $o,SV632: $o > set_a] :
( ( ( ( SV632 @ SV1105 )
= ( SV943 @ SV1105 ) )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5559]) ).
thf(5737,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 @ $true )
= ( SV943 @ $true ) )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5559]) ).
thf(5738,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 @ $false )
= ( SV943 @ $false ) )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5559]) ).
thf(5739,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 ) )
= $false )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5561]) ).
thf(5740,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $false )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5561]) ).
thf(5741,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5565]) ).
thf(5742,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $true )
| ( ( SV632 = SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5566]) ).
thf(5743,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5567]) ).
thf(5744,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5568]) ).
thf(5745,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) @ SV853 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5569]) ).
thf(5746,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5569]) ).
thf(5747,plain,
! [SV1010: set_a,SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
| ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5570]) ).
thf(5748,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( SV331 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5571]) ).
thf(5749,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ~ ! [SY2604: set_a] :
( ~ ( SV331 @ SY2604 )
| ( ord_less_eq_set_a @ SY2604 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5572]) ).
thf(5750,plain,
! [SV331: set_a > $o,SV637: set_a,SV855: set_a > $o] :
( ( ( SV855 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $false )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5572]) ).
thf(5751,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ! [SY2599: set_a] :
( ~ ( SV331 @ SY2599 )
| ( ord_less_eq_set_a @ SY2599 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5574]) ).
thf(5752,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1091: set_a] :
( ( ( ~ ( member_set_a @ SV1091 @ SV642 ) )
= $true )
| ( ( member_set_a @ ( SV336 @ SV1091 ) @ SV860 )
= $true )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5576]) ).
thf(5753,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1062: set_a] :
( ( ( member_set_a @ SV1062 @ SV642 )
= $false )
| ( ( member_set_a @ ( SV336 @ SV1062 ) @ SV860 )
= $true )
| ( ( member_set_a @ ( SV336 @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) ) @ SV860 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5577]) ).
thf(5754,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) @ SV861 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5578]) ).
thf(5755,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5578]) ).
thf(5756,plain,
! [SV1011: set_set_set_a,SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
| ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5579]) ).
thf(5757,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1092: set_a] :
( ( ( ~ ( member_set_a @ SV1092 @ SV644 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ SV1092 ) @ SV862 )
= $true )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5580]) ).
thf(5758,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1063: set_a] :
( ( ( member_set_a @ SV1063 @ SV644 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV338 @ SV1063 ) @ SV862 )
= $true )
| ( ( member1258382221_a_a_e @ ( SV338 @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) ) @ SV862 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5581]) ).
thf(5759,plain,
! [SV646: set_Pr204296108_a_a_e,SV987: a > e,SV340: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ ( sK203_SY2303 @ SV987 @ SV646 @ SV340 ) ) @ SV646 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV340 @ SV987 ) @ SV646 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5582]) ).
thf(5760,plain,
! [SV667: set_a > $o > set_a,SV61: set_a,SV871: $o > set_a,SV374: set_a] :
( ( ( ord_less_eq_set_a @ ( sK182_SY2318 @ SV374 @ SV871 @ SV61 @ SV667 ) @ ( sK190_SY2600 @ SV667 @ SV61 @ SV871 @ SV374 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV667 @ SV61 ) @ SV871 )
= $true )
| ( ( ( SV667 @ SV374 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) )
= ( SV871 @ ( sK116_SV988 @ SV61 @ SV871 @ SV374 @ SV667 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV61 @ SV374 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5583]) ).
thf(5761,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5589]) ).
thf(5762,plain,
! [SV377: $o > set_a,SV872: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $true )
| ( ( ( SV377 @ ( sK117_SV989 @ SV872 @ SV377 ) )
= ( SV872 @ ( sK117_SV989 @ SV872 @ SV377 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5590]) ).
thf(5763,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ! [SV1106: $o] :
( ( SV377 @ SV1106 )
= ( SV872 @ SV1106 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5593]) ).
thf(5764,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( SV377 = SV872 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5593]) ).
thf(5765,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 )
| ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5594]) ).
thf(5766,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1066: set_a] :
( ( ( ord_less_eq_set_a @ SV1066 @ ( image_a_a @ SV70 @ SV383 ) )
= $false )
| ( ( SV673 @ SV1066 )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5595]) ).
thf(5767,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1067: set_a] :
( ( ( ord_less_eq_set_a @ SV1067 @ SV383 )
= $false )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1067 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK79_SY2325 @ SV673 @ SV383 @ SV70 ) @ ( image_a_a @ SV70 @ SV383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5596]) ).
thf(5768,plain,
! [SV673: set_a > $o,SV383: set_a,SV70: a > a,SV1068: set_a] :
( ( ( ord_less_eq_set_a @ SV1068 @ ( image_a_a @ SV70 @ SV383 ) )
= $false )
| ( ( SV673 @ SV1068 )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5599]) ).
thf(5769,plain,
! [SV70: a > a,SV673: set_a > $o,SV383: set_a,SV1069: set_a] :
( ( ( ord_less_eq_set_a @ SV1069 @ SV383 )
= $false )
| ( ( SV673 @ ( image_a_a @ SV70 @ SV1069 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK80_SY2326 @ SV70 @ SV673 @ SV383 ) @ SV383 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5600]) ).
thf(5770,plain,
! [SV678: set_set_a > $o > set_a,SV76: set_set_a,SV875: $o > set_a,SV389: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK184_SY2331 @ SV389 @ SV875 @ SV76 @ SV678 ) @ ( sK191_SY2601 @ SV678 @ SV76 @ SV875 @ SV389 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ ( SV678 @ SV76 ) @ SV875 )
= $true )
| ( ( ( SV678 @ SV389 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) )
= ( SV875 @ ( sK118_SV990 @ SV76 @ SV875 @ SV389 @ SV678 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV76 @ SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5603]) ).
thf(5771,plain,
! [SV692: set_set_set_a,SV92: set_Pr204296108_a_a_e > set_set_a,SV405: set_se821189730_a_a_e,SV1070: set_Pr204296108_a_a_e] :
( ( ( member1437121347_a_a_e @ SV1070 @ SV405 )
= $false )
| ( ( member_set_set_a @ ( SV92 @ SV1070 ) @ SV692 )
= $true )
| ( ( member1437121347_a_a_e @ ( sK81_SY2346 @ SV692 @ SV92 @ SV405 ) @ SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5606]) ).
thf(5772,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 )
| ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5609]) ).
thf(5773,plain,
! [SV694: set_a,SV94: a > a,SV407: set_a,SV1071: a] :
( ( ( member_a @ SV1071 @ SV407 )
= $false )
| ( ( member_a @ ( SV94 @ SV1071 ) @ SV694 )
= $true )
| ( ( member_a @ ( sK82_SY2347 @ SV694 @ SV94 @ SV407 ) @ SV407 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5610]) ).
thf(5774,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
| ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5613]) ).
thf(5775,plain,
! [SV700: set_set_a,SV102: produc715398134_a_a_e > set_a,SV414: set_Pr204296108_a_a_e,SV1072: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1072 @ SV414 )
= $false )
| ( ( member_set_a @ ( SV102 @ SV1072 ) @ SV700 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK83_SY2351 @ SV700 @ SV102 @ SV414 ) @ SV414 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5614]) ).
thf(5776,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 )
| ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5617]) ).
thf(5777,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ( ~ ~ ( ( SV110
!= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) ) @ SV704 ) ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5618]) ).
thf(5778,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( ~ ( ( SV110 != SV1026 )
| ( SV422 != SV992 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5619]) ).
thf(5779,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) @ SV707 )
= $true )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5620]) ).
thf(5780,plain,
! [SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( SV113
= ( image_1930509541_set_a @ SV425 @ ( sK155_SY2359 @ SV425 @ SV113 @ SV707 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5621]) ).
thf(5781,plain,
! [SV993: set_set_a,SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5622]) ).
thf(5782,plain,
! [SV993: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ~ ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5622]) ).
thf(5783,plain,
! [SV889: produc715398134_a_a_e,SV1107: a,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 @ SV1107 )
= ( produc317566658_a_a_e @ SV889 @ SV1107 ) )
= $true )
| ( ( SV432 = SV889 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5623]) ).
thf(5784,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 != SV889 )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5625]) ).
thf(5785,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5625]) ).
thf(5786,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 = SV889 )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5626]) ).
thf(5787,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5627]) ).
thf(5788,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a] :
( ( ( ord_le318720350_set_a @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) @ SV713 )
= $true )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5628]) ).
thf(5789,plain,
! [SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( SV121
= ( image_set_a_set_a @ SV433 @ ( sK157_SY2367 @ SV433 @ SV121 @ SV713 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5629]) ).
thf(5790,plain,
! [SV994: set_set_a,SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5630]) ).
thf(5791,plain,
! [SV994: set_set_a,SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ~ ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5630]) ).
thf(5792,plain,
! [SV714: set_a,SV123: set_a > a,SV435: set_set_a,SV1073: set_a] :
( ( ( member_set_a @ SV1073 @ SV435 )
= $false )
| ( ( member_a @ ( SV123 @ SV1073 ) @ SV714 )
= $true )
| ( ( member_set_a @ ( sK85_SY2368 @ SV714 @ SV123 @ SV435 ) @ SV435 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5631]) ).
thf(5793,plain,
! [SV890: set_a,SV437: set_a,SV1095: a] :
( ( ( ~ ( member_a @ SV1095 @ SV437 ) )
= $true )
| ( ( member_a @ SV1095 @ SV890 )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5633]) ).
thf(5794,plain,
! [SV890: set_a,SV437: set_a,SV1074: a] :
( ( ( member_a @ SV1074 @ SV437 )
= $false )
| ( ( member_a @ SV1074 @ SV890 )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV890 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5634]) ).
thf(5795,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ( SV132
!= ( sK132_SY1995 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ ( sK193_SY2582 @ SV444 @ SV132 ) ) @ SV444 ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5635]) ).
thf(5796,plain,
! [SV132: set_a,SV444: set_Pr204296108_a_a_e,SV1020: a > e,SV975: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( ~ ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5636]) ).
thf(5797,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 )
| ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5641]) ).
thf(5798,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1097: set_a] :
( ( ( ~ ( member_set_a @ SV1097 @ SV462 ) )
= $true )
| ( ( member_set_a @ SV1097 @ SV894 )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5643]) ).
thf(5799,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1077: set_a] :
( ( ( member_set_a @ SV1077 @ SV462 )
= $false )
| ( ( member_set_a @ SV1077 @ SV894 )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV894 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5644]) ).
thf(5800,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ( SV161
!= ( sK195_SY2583 @ SV473 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ ( sK195_SY2583 @ SV473 @ SV161 ) ) @ SV473 ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5645]) ).
thf(5801,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( ! [SV1108: a] :
( ( SV161 @ SV1108 )
= ( SV1021 @ SV1108 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[5646]) ).
thf(5802,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( SV161 = SV1021 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[5646]) ).
thf(5803,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 )
| ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5648]) ).
thf(5804,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( member_set_a @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ SV165 )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5649]) ).
thf(5805,plain,
! [SV742: set_a_e,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV951: set_a > ( a > e ) > $o,SV165: set_set_a] :
( ( ( member_a_e @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) @ SV742 )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5650]) ).
thf(5806,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV898: set_a > ( a > e ) > $o] :
( ( ( ~ ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5651]) ).
thf(5807,plain,
! [SV165: set_set_a,SV742: set_a_e,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV951: set_a > ( a > e ) > $o] :
( ( ( SV951 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
= $false )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5651]) ).
thf(5808,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1098: set_a] :
( ( ( ~ ( member_set_a @ SV1098 @ SV483 ) )
= $true )
| ( ( member_set_a @ SV1098 @ SV900 )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5652]) ).
thf(5809,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1078: set_a] :
( ( ( member_set_a @ SV1078 @ SV483 )
= $false )
| ( ( member_set_a @ SV1078 @ SV900 )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV900 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5653]) ).
thf(5810,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a] :
( ( ( member1258382221_a_a_e @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) @ SV754 )
= $true )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5655]) ).
thf(5811,plain,
! [SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( SV185
= ( SV497 @ ( sK160_SY2393 @ SV497 @ SV185 @ SV754 ) ) )
= $true )
| ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5656]) ).
thf(5812,plain,
! [SV997: produc715398134_a_a_e,SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( ~ ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5657]) ).
thf(5813,plain,
! [SV997: produc715398134_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5657]) ).
thf(5814,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a] :
( ( ( ord_less_eq_set_a @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) @ SV764 )
= $true )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5658]) ).
thf(5815,plain,
! [SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( SV197
= ( image_a_set_a @ SV509 @ ( sK162_SY2400 @ SV509 @ SV197 @ SV764 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5659]) ).
thf(5816,plain,
! [SV999: set_a,SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5660]) ).
thf(5817,plain,
! [SV999: set_a,SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ~ ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5660]) ).
thf(5818,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1079: set_set_a] :
( ( ( ord_le318720350_set_a @ SV1079 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $false )
| ( ( SV765 @ SV1079 )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5661]) ).
thf(5819,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1080: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV1080 @ SV511 )
= $false )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1080 ) )
= $true )
| ( ( ord_le318720350_set_a @ ( sK88_SY2401 @ SV765 @ SV511 @ SV199 ) @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5662]) ).
thf(5820,plain,
! [SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV199: produc715398134_a_a_e > set_a,SV1081: set_set_a] :
( ( ( ord_le318720350_set_a @ SV1081 @ ( image_64240033_set_a @ SV199 @ SV511 ) )
= $false )
| ( ( SV765 @ SV1081 )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5665]) ).
thf(5821,plain,
! [SV199: produc715398134_a_a_e > set_a,SV765: set_set_a > $o,SV511: set_Pr204296108_a_a_e,SV1082: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV1082 @ SV511 )
= $false )
| ( ( SV765 @ ( image_64240033_set_a @ SV199 @ SV1082 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ ( sK89_SY2402 @ SV199 @ SV765 @ SV511 ) @ SV511 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5666]) ).
thf(5822,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1099: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1099 @ SV525 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV1099 @ SV908 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5669]) ).
thf(5823,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1083: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1083 @ SV525 )
= $false )
| ( ( member1258382221_a_a_e @ SV1083 @ SV908 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV908 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5670]) ).
thf(5824,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 )
| ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5672]) ).
thf(5825,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a] :
( ( ( ord_le2103863998_set_a @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) @ SV783 )
= $true )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5674]) ).
thf(5826,plain,
! [SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( SV224
= ( image_set_set_a_a @ SV536 @ ( sK165_SY2412 @ SV536 @ SV224 @ SV783 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5675]) ).
thf(5827,plain,
! [SV1001: set_set_set_a,SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5676]) ).
thf(5828,plain,
! [SV1001: set_set_set_a,SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ~ ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5676]) ).
thf(5829,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 )
| ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5678]) ).
thf(5830,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 )
| ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5680]) ).
thf(5831,plain,
! [SV542: ( $o > set_a ) > $o > set_a,SV230: $o > set_a,SV913: $o > set_a,SV786: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ ( sK187_SY2132 @ SV786 @ SV913 @ SV230 @ SV542 ) @ ( sK198_SY2602 @ SV542 @ SV230 @ SV913 @ SV786 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV230 @ ( SV542 @ SV913 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV786 @ SV913 )
= $false )
| ( ( ( SV230 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) )
= ( SV542 @ SV786 @ ( sK91_SV968 @ SV913 @ SV786 @ SV542 @ SV230 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5681]) ).
thf(5832,plain,
! [SV914: set_a,SV545: set_a,SV1100: a] :
( ( ( ~ ( member_a @ SV1100 @ SV545 ) )
= $true )
| ( ( member_a @ SV1100 @ SV914 )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5684]) ).
thf(5833,plain,
! [SV914: set_a,SV545: set_a,SV1085: a] :
( ( ( member_a @ SV1085 @ SV545 )
= $false )
| ( ( member_a @ SV1085 @ SV914 )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV914 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5685]) ).
thf(5834,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 )
| ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5687]) ).
thf(5835,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 )
| ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5689]) ).
thf(5836,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV1109: a,SV555: a > e] :
( ( ( ( SV555 @ SV1109 )
= ( SV919 @ SV1109 ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5690]) ).
thf(5837,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
!= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5692]) ).
thf(5838,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ~ ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5692]) ).
thf(5839,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5693]) ).
thf(5840,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5694]) ).
thf(5841,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a] :
( ( ( ord_le700723212_a_a_e @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) @ SV802 )
= $true )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5695]) ).
thf(5842,plain,
! [SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( SV251
= ( image_64240033_set_a @ SV561 @ ( sK168_SY2425 @ SV561 @ SV251 @ SV802 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5696]) ).
thf(5843,plain,
! [SV1002: set_Pr204296108_a_a_e,SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5697]) ).
thf(5844,plain,
! [SV1002: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5697]) ).
thf(5845,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a] :
( ( ( ord_le318720350_set_a @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) @ SV808 )
= $true )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5699]) ).
thf(5846,plain,
! [SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( SV263
= ( image_set_a_a @ SV572 @ ( sK171_SY2433 @ SV572 @ SV263 @ SV808 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5700]) ).
thf(5847,plain,
! [SV1003: set_set_a,SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5701]) ).
thf(5848,plain,
! [SV1003: set_set_a,SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ~ ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5701]) ).
thf(5849,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV1110: a,SV576: a > e] :
( ( ( ( SV576 @ SV1110 )
= ( SV926 @ SV1110 ) )
= $true )
| ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5702]) ).
thf(5850,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
!= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5704]) ).
thf(5851,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ~ ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5704]) ).
thf(5852,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5705]) ).
thf(5853,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5706]) ).
thf(5854,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5710]) ).
thf(5855,plain,
! [SV589: $o > set_a,SV931: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $true )
| ( ( ( SV589 @ ( sK124_SV1004 @ SV931 @ SV589 ) )
= ( SV931 @ ( sK124_SV1004 @ SV931 @ SV589 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5711]) ).
thf(5856,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ! [SV1111: $o] :
( ( SV589 @ SV1111 )
= ( SV931 @ SV1111 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5714]) ).
thf(5857,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( SV589 = SV931 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5714]) ).
thf(5858,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 )
| ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5715]) ).
thf(5859,plain,
! [SV984: produc715398134_a_a_e,SV282: produc715398134_a_a_e > set_a,SV1060: set_a] :
( ( ( SV1060
= ( SV282 @ ( sK205_SY2603 @ SV984 @ SV282 @ SV1060 ) ) )
= $true )
| ( ( ( sK39_SY1703 @ SV282 )
= ( SV282 @ SV984 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5716]) ).
thf(5860,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1104: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ SV1104 @ SV594 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV1104 @ SV933 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5717]) ).
thf(5861,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1088: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1088 @ SV594 )
= $false )
| ( ( member1258382221_a_a_e @ SV1088 @ SV933 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV933 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5718]) ).
thf(5862,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ( ~ ~ ( ( SV288
!= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) ) @ SV825 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5719]) ).
thf(5863,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( ~ ( ( SV288 != SV1037 )
| ( SV595 != SV1006 ) ) )
= $false )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5720]) ).
thf(5864,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 )
| ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5722]) ).
thf(5865,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a] :
( ( ( ord_le2103863998_set_a @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) @ SV830 )
= $true )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5723]) ).
thf(5866,plain,
! [SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( SV294
= ( image_1956910981_set_a @ SV601 @ ( sK176_SY2459 @ SV601 @ SV294 @ SV830 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5724]) ).
thf(5867,plain,
! [SV1007: set_set_set_a,SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5725]) ).
thf(5868,plain,
! [SV1007: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ~ ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5725]) ).
thf(5869,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 )
| ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5727]) ).
thf(5870,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 )
| ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5729]) ).
thf(5871,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 )
| ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5731]) ).
thf(5872,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a] :
( ( ( ord_less_eq_set_a @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) @ SV837 )
= $true )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5732]) ).
thf(5873,plain,
! [SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( SV303
= ( image_a_a @ SV610 @ ( sK177_SY2461 @ SV610 @ SV303 @ SV837 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5733]) ).
thf(5874,plain,
! [SV1008: set_a,SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5734]) ).
thf(5875,plain,
! [SV1008: set_a,SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ~ ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5734]) ).
thf(5876,plain,
! [SV627: set_Pr204296108_a_a_e,SV848: set_a > $o,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) @ SV627 )
| ~ ( SV848 @ ( SV321 @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) ) ) )
= $false )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5735]) ).
thf(5877,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5739]) ).
thf(5878,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $true )
| ( ( ( SV632 @ ( sK126_SV1009 @ SV943 @ SV632 ) )
= ( SV943 @ ( sK126_SV1009 @ SV943 @ SV632 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5740]) ).
thf(5879,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ! [SV1112: $o] :
( ( SV632 @ SV1112 )
= ( SV943 @ SV1112 ) ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5743]) ).
thf(5880,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( SV632 = SV943 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[5743]) ).
thf(5881,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 )
| ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5744]) ).
thf(5882,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a] :
( ( ( ord_less_eq_set_a @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) @ SV853 )
= $true )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5745]) ).
thf(5883,plain,
! [SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( SV329
= ( image_a_set_set_a @ SV635 @ ( sK179_SY2475 @ SV635 @ SV329 @ SV853 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5746]) ).
thf(5884,plain,
! [SV1010: set_a,SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5747]) ).
thf(5885,plain,
! [SV1010: set_a,SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ~ ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5747]) ).
thf(5886,plain,
! [SV855: set_a > $o,SV637: set_a,SV331: set_a > $o] :
( ( ( ! [SY2604: set_a] :
( ~ ( SV331 @ SY2604 )
| ( ord_less_eq_set_a @ SY2604 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5749]) ).
thf(5887,plain,
! [SV855: set_a > $o,SV637: set_a,SV1113: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ SV1113 )
| ( ord_less_eq_set_a @ SV1113 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5751]) ).
thf(5888,plain,
! [SV860: set_set_a,SV336: set_a > set_a,SV642: set_set_a,SV1091: set_a] :
( ( ( member_set_a @ SV1091 @ SV642 )
= $false )
| ( ( member_set_a @ ( SV336 @ SV1091 ) @ SV860 )
= $true )
| ( ( member_set_a @ ( sK97_SY2483 @ SV860 @ SV336 @ SV642 ) @ SV642 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5752]) ).
thf(5889,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a] :
( ( ( ord_le2103863998_set_a @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) @ SV861 )
= $true )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5754]) ).
thf(5890,plain,
! [SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( SV337
= ( image_402591269_set_a @ SV643 @ ( sK181_SY2484 @ SV643 @ SV337 @ SV861 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5755]) ).
thf(5891,plain,
! [SV1011: set_set_set_a,SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5756]) ).
thf(5892,plain,
! [SV1011: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ~ ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5756]) ).
thf(5893,plain,
! [SV862: set_Pr204296108_a_a_e,SV338: set_a > produc715398134_a_a_e,SV644: set_set_a,SV1092: set_a] :
( ( ( member_set_a @ SV1092 @ SV644 )
= $false )
| ( ( member1258382221_a_a_e @ ( SV338 @ SV1092 ) @ SV862 )
= $true )
| ( ( member_set_a @ ( sK98_SY2485 @ SV862 @ SV338 @ SV644 ) @ SV644 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5757]) ).
thf(5894,plain,
! [SV872: $o > set_a,SV1114: $o,SV377: $o > set_a] :
( ( ( ( SV377 @ SV1114 )
= ( SV872 @ SV1114 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5763]) ).
thf(5895,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 @ $true )
= ( SV872 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5763]) ).
thf(5896,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ( SV377 @ $false )
= ( SV872 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5763]) ).
thf(5897,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV377 @ SV872 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5765]) ).
thf(5898,plain,
! [SV377: $o > set_a,SV872: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV872 @ SV377 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5765]) ).
thf(5899,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV882 @ SV406 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5772]) ).
thf(5900,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV406 @ SV882 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5772]) ).
thf(5901,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5774]) ).
thf(5902,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5774]) ).
thf(5903,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV421 @ SV885 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5776]) ).
thf(5904,plain,
! [SV421: set_set_a,SV885: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV885 @ SV421 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5776]) ).
thf(5905,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110
!= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) ) @ SV704 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5777]) ).
thf(5906,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( ( SV110 != SV1026 )
| ( SV422 != SV992 ) )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5778]) ).
thf(5907,plain,
! [SV993: set_set_a,SV707: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV113 @ ( image_1930509541_set_a @ SV425 @ SV707 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5781]) ).
thf(5908,plain,
! [SV993: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ~ ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5782]) ).
thf(5909,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( SV432 = SV889 )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5784]) ).
thf(5910,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ~ ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5785]) ).
thf(5911,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5787]) ).
thf(5912,plain,
! [SV994: set_set_a,SV713: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( ord_le318720350_set_a @ SV121 @ ( image_set_a_set_a @ SV433 @ SV713 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5790]) ).
thf(5913,plain,
! [SV994: set_set_a,SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ~ ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5791]) ).
thf(5914,plain,
! [SV890: set_a,SV437: set_a,SV1095: a] :
( ( ( member_a @ SV1095 @ SV437 )
= $false )
| ( ( member_a @ SV1095 @ SV890 )
= $true )
| ( ( member_a @ ( sK103_SY2513 @ SV890 @ SV437 ) @ SV437 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5793]) ).
thf(5915,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( SV132
!= ( sK132_SY1995 @ SV444 @ SV132 ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5795]) ).
thf(5916,plain,
! [SV132: set_a,SV444: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ ( sK193_SY2582 @ SV444 @ SV132 ) ) @ SV444 ) )
= $false )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5795]) ).
thf(5917,plain,
! [SV1020: a > e,SV975: set_a,SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
| ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5796]) ).
thf(5918,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV453 @ SV893 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5797]) ).
thf(5919,plain,
! [SV453: set_a,SV893: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV893 @ SV453 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5797]) ).
thf(5920,plain,
! [SV894: set_set_a,SV462: set_set_a,SV1097: set_a] :
( ( ( member_set_a @ SV1097 @ SV462 )
= $false )
| ( ( member_set_a @ SV1097 @ SV894 )
= $true )
| ( ( member_set_a @ ( sK104_SY2514 @ SV894 @ SV462 ) @ SV462 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5798]) ).
thf(5921,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
!= ( sK195_SY2583 @ SV473 @ SV161 ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5800]) ).
thf(5922,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ ( sK195_SY2583 @ SV473 @ SV161 ) ) @ SV473 ) )
= $false )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5800]) ).
thf(5923,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 ) )
= $true )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5801]) ).
thf(5924,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e,SV1021: a > e,SV979: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5802]) ).
thf(5925,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV474 @ SV897 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5803]) ).
thf(5926,plain,
! [SV474: set_set_set_a,SV897: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV897 @ SV474 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5803]) ).
thf(5927,plain,
! [SV742: set_a_e,SV165: set_set_a,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( member_a_e @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) @ SV742 )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5805]) ).
thf(5928,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e,SV898: set_a > ( a > e ) > $o] :
( ( ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
= $true )
| ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
| ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5806]) ).
thf(5929,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( SV951 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
= $false )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5807]) ).
thf(5930,plain,
! [SV900: set_set_a,SV483: set_set_a,SV1098: set_a] :
( ( ( member_set_a @ SV1098 @ SV483 )
= $false )
| ( ( member_set_a @ SV1098 @ SV900 )
= $true )
| ( ( member_set_a @ ( sK107_SY2522 @ SV900 @ SV483 ) @ SV483 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5808]) ).
thf(5931,plain,
! [SV997: produc715398134_a_a_e,SV754: set_Pr204296108_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( member_set_a @ SV185 @ ( image_64240033_set_a @ SV497 @ SV754 ) )
= $true )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5812]) ).
thf(5932,plain,
! [SV997: produc715398134_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5813]) ).
thf(5933,plain,
! [SV999: set_a,SV764: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( ord_le318720350_set_a @ SV197 @ ( image_a_set_a @ SV509 @ SV764 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5816]) ).
thf(5934,plain,
! [SV999: set_a,SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ~ ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5817]) ).
thf(5935,plain,
! [SV908: set_Pr204296108_a_a_e,SV525: set_Pr204296108_a_a_e,SV1099: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1099 @ SV525 )
= $false )
| ( ( member1258382221_a_a_e @ SV1099 @ SV908 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK111_SY2529 @ SV908 @ SV525 ) @ SV525 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5822]) ).
thf(5936,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV526 @ SV909 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5824]) ).
thf(5937,plain,
! [SV526: set_Pr204296108_a_a_e,SV909: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV909 @ SV526 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5824]) ).
thf(5938,plain,
! [SV1001: set_set_set_a,SV783: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( ord_less_eq_set_a @ SV224 @ ( image_set_set_a_a @ SV536 @ SV783 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5827]) ).
thf(5939,plain,
! [SV1001: set_set_set_a,SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ~ ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5828]) ).
thf(5940,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV911 @ SV537 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5829]) ).
thf(5941,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV537 @ SV911 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5829]) ).
thf(5942,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV540 @ SV912 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5830]) ).
thf(5943,plain,
! [SV540: set_Pr204296108_a_a_e,SV912: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV912 @ SV540 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5830]) ).
thf(5944,plain,
! [SV914: set_a,SV545: set_a,SV1100: a] :
( ( ( member_a @ SV1100 @ SV545 )
= $false )
| ( ( member_a @ SV1100 @ SV914 )
= $true )
| ( ( member_a @ ( sK112_SY2532 @ SV914 @ SV545 ) @ SV545 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5832]) ).
thf(5945,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV547 @ SV916 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5834]) ).
thf(5946,plain,
! [SV547: set_a,SV916: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV916 @ SV547 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5834]) ).
thf(5947,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV917 @ SV549 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5835]) ).
thf(5948,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV549 @ SV917 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5835]) ).
thf(5949,plain,
! [SV919: a > e,SV796: set_a,SV555: a > e,SV244: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV244 @ SV555 )
= ( produc1134456688_a_a_e @ SV796 @ SV919 ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5837]) ).
thf(5950,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ~ ( ( SV244 != SV796 )
| ( SV555 != SV919 ) ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5838]) ).
thf(5951,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ( SV244 != SV796 )
| ( SV555 != SV919 ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5840]) ).
thf(5952,plain,
! [SV1002: set_Pr204296108_a_a_e,SV802: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( ord_le318720350_set_a @ SV251 @ ( image_64240033_set_a @ SV561 @ SV802 ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5843]) ).
thf(5953,plain,
! [SV1002: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ~ ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5844]) ).
thf(5954,plain,
! [SV1003: set_set_a,SV808: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( ord_less_eq_set_a @ SV263 @ ( image_set_a_a @ SV572 @ SV808 ) )
= $true )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5847]) ).
thf(5955,plain,
! [SV1003: set_set_a,SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ~ ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5848]) ).
thf(5956,plain,
! [SV926: a > e,SV811: set_a,SV576: a > e,SV267: set_a] :
( ( ( ( produc1134456688_a_a_e @ SV267 @ SV576 )
= ( produc1134456688_a_a_e @ SV811 @ SV926 ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5850]) ).
thf(5957,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ~ ( ( SV267 != SV811 )
| ( SV576 != SV926 ) ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5851]) ).
thf(5958,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ( SV267 != SV811 )
| ( SV576 != SV926 ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5853]) ).
thf(5959,plain,
! [SV931: $o > set_a,SV1115: $o,SV589: $o > set_a] :
( ( ( ( SV589 @ SV1115 )
= ( SV931 @ SV1115 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5856]) ).
thf(5960,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 @ $true )
= ( SV931 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5856]) ).
thf(5961,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ( SV589 @ $false )
= ( SV931 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5856]) ).
thf(5962,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV589 @ SV931 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5858]) ).
thf(5963,plain,
! [SV589: $o > set_a,SV931: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV931 @ SV589 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5858]) ).
thf(5964,plain,
! [SV933: set_Pr204296108_a_a_e,SV594: set_Pr204296108_a_a_e,SV1104: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ SV1104 @ SV594 )
= $false )
| ( ( member1258382221_a_a_e @ SV1104 @ SV933 )
= $true )
| ( ( member1258382221_a_a_e @ ( sK113_SY2547 @ SV933 @ SV594 ) @ SV594 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5860]) ).
thf(5965,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288
!= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) ) @ SV825 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5862]) ).
thf(5966,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( ( SV288 != SV1037 )
| ( SV595 != SV1006 ) )
= $true )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5863]) ).
thf(5967,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV600 @ SV934 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5864]) ).
thf(5968,plain,
! [SV600: set_set_set_a,SV934: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV934 @ SV600 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5864]) ).
thf(5969,plain,
! [SV1007: set_set_set_a,SV830: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV294 @ ( image_1956910981_set_a @ SV601 @ SV830 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5867]) ).
thf(5970,plain,
! [SV1007: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ~ ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5868]) ).
thf(5971,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV935 @ SV604 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5869]) ).
thf(5972,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ SV604 @ SV935 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5869]) ).
thf(5973,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV606 @ SV937 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5870]) ).
thf(5974,plain,
! [SV606: set_a,SV937: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV937 @ SV606 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5870]) ).
thf(5975,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV607 @ SV938 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5871]) ).
thf(5976,plain,
! [SV607: set_set_a,SV938: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ SV938 @ SV607 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5871]) ).
thf(5977,plain,
! [SV1008: set_a,SV837: set_a,SV610: a > a,SV303: set_a] :
( ( ( ord_less_eq_set_a @ SV303 @ ( image_a_a @ SV610 @ SV837 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5874]) ).
thf(5978,plain,
! [SV1008: set_a,SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ~ ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5875]) ).
thf(5979,plain,
! [SV627: set_Pr204296108_a_a_e,SV848: set_a > $o,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) @ SV627 ) )
= $false )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5876]) ).
thf(5980,plain,
! [SV627: set_Pr204296108_a_a_e,SV972: set_a,SV321: produc715398134_a_a_e > set_a,SV848: set_a > $o] :
( ( ( ~ ( SV848 @ ( SV321 @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) ) ) )
= $false )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5876]) ).
thf(5981,plain,
! [SV943: $o > set_a,SV1116: $o,SV632: $o > set_a] :
( ( ( ( SV632 @ SV1116 )
= ( SV943 @ SV1116 ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5879]) ).
thf(5982,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 @ $true )
= ( SV943 @ $true ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5879]) ).
thf(5983,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ( SV632 @ $false )
= ( SV943 @ $false ) )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[5879]) ).
thf(5984,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV943 @ SV632 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5881]) ).
thf(5985,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ~ ( ord_less_eq_o_set_a @ SV632 @ SV943 ) )
= $false )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5881]) ).
thf(5986,plain,
! [SV1010: set_a,SV853: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV329 @ ( image_a_set_set_a @ SV635 @ SV853 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5884]) ).
thf(5987,plain,
! [SV1010: set_a,SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ~ ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5885]) ).
thf(5988,plain,
! [SV855: set_a > $o,SV637: set_a,SV1117: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ SV1117 )
| ( ord_less_eq_set_a @ SV1117 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5886]) ).
thf(5989,plain,
! [SV855: set_a > $o,SV637: set_a,SV1113: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ SV1113 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1113 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5887]) ).
thf(5990,plain,
! [SV1011: set_set_set_a,SV861: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( ord_le318720350_set_a @ SV337 @ ( image_402591269_set_a @ SV643 @ SV861 ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5891]) ).
thf(5991,plain,
! [SV1011: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ~ ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5892]) ).
thf(5992,plain,
! [SV872: $o > set_a,SV377: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5897]) ).
thf(5993,plain,
! [SV377: $o > set_a,SV872: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV377 @ SV872 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV872 @ SV377 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5898]) ).
thf(5994,plain,
! [SV406: set_Pr204296108_a_a_e,SV882: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5899]) ).
thf(5995,plain,
! [SV882: set_Pr204296108_a_a_e,SV406: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV882 @ SV406 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV406 @ SV882 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5900]) ).
thf(5996,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5901]) ).
thf(5997,plain,
! [SV884: $o > set_a,SV410: $o > set_a] :
( ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $true )
| ( ( ord_less_eq_set_a @ ( SV410 @ $false ) @ ( SV884 @ $false ) )
= $false )
| ( ( ord_less_eq_set_a @ ( SV410 @ $true ) @ ( SV884 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5902]) ).
thf(5998,plain,
! [SV885: set_set_a,SV421: set_set_a] :
( ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $true )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5903]) ).
thf(5999,plain,
! [SV421: set_set_a,SV885: set_set_a] :
( ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $true )
| ( ( ord_le318720350_set_a @ SV421 @ SV885 )
= $false )
| ( ( ord_le318720350_set_a @ SV885 @ SV421 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5904]) ).
thf(6000,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110
!= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5905]) ).
thf(6001,plain,
! [SV110: a > e,SV422: set_a,SV704: set_Pr204296108_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) ) @ SV704 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5905]) ).
thf(6002,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( SV110 != SV1026 )
= $true )
| ( ( SV422 != SV992 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5906]) ).
thf(6003,plain,
! [SV993: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a,SV707: set_set_a] :
( ( ( ! [SY2359: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2359 @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ SY2359 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5908]) ).
thf(6004,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
| ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5910]) ).
thf(6005,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5911]) ).
thf(6006,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5911]) ).
thf(6007,plain,
! [SV994: set_set_a,SV433: set_a > set_a,SV121: set_set_a,SV713: set_set_a] :
( ( ( ! [SY2367: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2367 @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ SY2367 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5913]) ).
thf(6008,plain,
! [SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( SV132
= ( sK132_SY1995 @ SV444 @ SV132 ) )
= $true )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5915]) ).
thf(6009,plain,
! [SV132: set_a,SV444: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK132_SY1995 @ SV444 @ SV132 ) @ ( sK193_SY2582 @ SV444 @ SV132 ) ) @ SV444 )
= $true )
| ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5916]) ).
thf(6010,plain,
! [SV1020: a > e,SV975: set_a,SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5917]) ).
thf(6011,plain,
! [SV1020: a > e,SV975: set_a,SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5917]) ).
thf(6012,plain,
! [SV893: set_a,SV453: set_a] :
( ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $true )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5918]) ).
thf(6013,plain,
! [SV453: set_a,SV893: set_a] :
( ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $true )
| ( ( ord_less_eq_set_a @ SV453 @ SV893 )
= $false )
| ( ( ord_less_eq_set_a @ SV893 @ SV453 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5919]) ).
thf(6014,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
= ( sK195_SY2583 @ SV473 @ SV161 ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5921]) ).
thf(6015,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK134_SY2032 @ SV473 @ SV161 ) @ ( sK195_SY2583 @ SV473 @ SV161 ) ) @ SV473 )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5922]) ).
thf(6016,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e,SV1021: a > e,SV979: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( ~ ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5923]) ).
thf(6017,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5924]) ).
thf(6018,plain,
! [SV897: set_set_set_a,SV474: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $true )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5925]) ).
thf(6019,plain,
! [SV474: set_set_set_a,SV897: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $true )
| ( ( ord_le2103863998_set_a @ SV474 @ SV897 )
= $false )
| ( ( ord_le2103863998_set_a @ SV897 @ SV474 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5926]) ).
thf(6020,plain,
! [SV742: set_a_e,SV165: set_set_a,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( member_a_e @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) @ SV742 )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5927]) ).
thf(6021,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5928]) ).
thf(6022,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( SV951 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
= $false )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5929]) ).
thf(6023,plain,
! [SV997: produc715398134_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a,SV754: set_Pr204296108_a_a_e] :
( ( ( ! [SY2393: produc715398134_a_a_e] :
~ ~ ( ~ ( member1258382221_a_a_e @ SY2393 @ SV754 )
| ( SV185
!= ( SV497 @ SY2393 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5932]) ).
thf(6024,plain,
! [SV999: set_a,SV509: a > set_a,SV197: set_set_a,SV764: set_a] :
( ( ( ! [SY2400: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2400 @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ SY2400 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5934]) ).
thf(6025,plain,
! [SV909: set_Pr204296108_a_a_e,SV526: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5936]) ).
thf(6026,plain,
! [SV526: set_Pr204296108_a_a_e,SV909: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV526 @ SV909 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV909 @ SV526 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5937]) ).
thf(6027,plain,
! [SV1001: set_set_set_a,SV536: set_set_a > a,SV224: set_a,SV783: set_set_set_a] :
( ( ( ! [SY2412: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2412 @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ SY2412 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5939]) ).
thf(6028,plain,
! [SV537: set_a,SV911: set_a] :
( ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $true )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5940]) ).
thf(6029,plain,
! [SV911: set_a,SV537: set_a] :
( ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $true )
| ( ( ord_less_eq_set_a @ SV911 @ SV537 )
= $false )
| ( ( ord_less_eq_set_a @ SV537 @ SV911 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5941]) ).
thf(6030,plain,
! [SV912: set_Pr204296108_a_a_e,SV540: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5942]) ).
thf(6031,plain,
! [SV540: set_Pr204296108_a_a_e,SV912: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV540 @ SV912 )
= $false )
| ( ( ord_le700723212_a_a_e @ SV912 @ SV540 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5943]) ).
thf(6032,plain,
! [SV916: set_a,SV547: set_a] :
( ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $true )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5945]) ).
thf(6033,plain,
! [SV547: set_a,SV916: set_a] :
( ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $true )
| ( ( ord_less_eq_set_a @ SV547 @ SV916 )
= $false )
| ( ( ord_less_eq_set_a @ SV916 @ SV547 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5946]) ).
thf(6034,plain,
! [SV549: set_set_a,SV917: set_set_a] :
( ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $true )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5947]) ).
thf(6035,plain,
! [SV917: set_set_a,SV549: set_set_a] :
( ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $true )
| ( ( ord_le318720350_set_a @ SV917 @ SV549 )
= $false )
| ( ( ord_le318720350_set_a @ SV549 @ SV917 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5948]) ).
thf(6036,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( ( SV244 != SV796 )
| ( SV555 != SV919 ) )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5950]) ).
thf(6037,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 != SV796 )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5951]) ).
thf(6038,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 != SV919 )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5951]) ).
thf(6039,plain,
! [SV1002: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a,SV802: set_Pr204296108_a_a_e] :
( ( ( ! [SY2425: set_Pr204296108_a_a_e] :
~ ~ ( ~ ( ord_le700723212_a_a_e @ SY2425 @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ SY2425 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5953]) ).
thf(6040,plain,
! [SV1003: set_set_a,SV572: set_a > a,SV263: set_a,SV808: set_set_a] :
( ( ( ! [SY2433: set_set_a] :
~ ~ ( ~ ( ord_le318720350_set_a @ SY2433 @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ SY2433 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5955]) ).
thf(6041,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( ( SV267 != SV811 )
| ( SV576 != SV926 ) )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5957]) ).
thf(6042,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 != SV811 )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5958]) ).
thf(6043,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 != SV926 )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5958]) ).
thf(6044,plain,
! [SV931: $o > set_a,SV589: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5962]) ).
thf(6045,plain,
! [SV589: $o > set_a,SV931: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV589 @ SV931 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV931 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5963]) ).
thf(6046,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288
!= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5965]) ).
thf(6047,plain,
! [SV288: set_a,SV595: a > e,SV825: set_Pr305929312_set_a] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) ) @ SV825 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5965]) ).
thf(6048,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( SV288 != SV1037 )
= $true )
| ( ( SV595 != SV1006 )
= $true )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5966]) ).
thf(6049,plain,
! [SV934: set_set_set_a,SV600: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $true )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5967]) ).
thf(6050,plain,
! [SV600: set_set_set_a,SV934: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $true )
| ( ( ord_le2103863998_set_a @ SV600 @ SV934 )
= $false )
| ( ( ord_le2103863998_set_a @ SV934 @ SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5968]) ).
thf(6051,plain,
! [SV1007: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a,SV830: set_set_set_a] :
( ( ( ! [SY2459: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2459 @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ SY2459 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5970]) ).
thf(6052,plain,
! [SV604: set_set_set_a,SV935: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $true )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5971]) ).
thf(6053,plain,
! [SV935: set_set_set_a,SV604: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $true )
| ( ( ord_le2103863998_set_a @ SV935 @ SV604 )
= $false )
| ( ( ord_le2103863998_set_a @ SV604 @ SV935 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5972]) ).
thf(6054,plain,
! [SV937: set_a,SV606: set_a] :
( ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $true )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5973]) ).
thf(6055,plain,
! [SV606: set_a,SV937: set_a] :
( ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $true )
| ( ( ord_less_eq_set_a @ SV606 @ SV937 )
= $false )
| ( ( ord_less_eq_set_a @ SV937 @ SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5974]) ).
thf(6056,plain,
! [SV938: set_set_a,SV607: set_set_a] :
( ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $true )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5975]) ).
thf(6057,plain,
! [SV607: set_set_a,SV938: set_set_a] :
( ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $true )
| ( ( ord_le318720350_set_a @ SV607 @ SV938 )
= $false )
| ( ( ord_le318720350_set_a @ SV938 @ SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5976]) ).
thf(6058,plain,
! [SV1008: set_a,SV610: a > a,SV303: set_a,SV837: set_a] :
( ( ( ! [SY2461: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2461 @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ SY2461 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5978]) ).
thf(6059,plain,
! [SV627: set_Pr204296108_a_a_e,SV848: set_a > $o,SV321: produc715398134_a_a_e > set_a,SV972: set_a] :
( ( ( member1258382221_a_a_e @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) @ SV627 )
= $true )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5979]) ).
thf(6060,plain,
! [SV627: set_Pr204296108_a_a_e,SV972: set_a,SV321: produc715398134_a_a_e > set_a,SV848: set_a > $o] :
( ( ( SV848 @ ( SV321 @ ( sK202_SY2472 @ SV972 @ SV321 @ SV848 @ SV627 ) ) )
= $true )
| ( ( member_set_a @ SV972 @ ( image_64240033_set_a @ SV321 @ SV627 ) )
= $false )
| ( ( SV848 @ SV972 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5980]) ).
thf(6061,plain,
! [SV632: $o > set_a,SV943: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5984]) ).
thf(6062,plain,
! [SV943: $o > set_a,SV632: $o > set_a] :
( ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $true )
| ( ( ord_less_eq_o_set_a @ SV943 @ SV632 )
= $false )
| ( ( ord_less_eq_o_set_a @ SV632 @ SV943 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5985]) ).
thf(6063,plain,
! [SV1010: set_a,SV635: a > set_set_a,SV329: set_set_set_a,SV853: set_a] :
( ( ( ! [SY2475: set_a] :
~ ~ ( ~ ( ord_less_eq_set_a @ SY2475 @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ SY2475 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5987]) ).
thf(6064,plain,
! [SV855: set_a > $o,SV637: set_a,SV1117: set_a,SV331: set_a > $o] :
( ( ( ~ ( SV331 @ SV1117 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1117 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5988]) ).
thf(6065,plain,
! [SV855: set_a > $o,SV637: set_a,SV1113: set_a,SV331: set_a > $o] :
( ( ( SV331 @ SV1113 )
= $false )
| ( ( ord_less_eq_set_a @ SV1113 @ ( sK180_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) @ SV637 )
= $false )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5989]) ).
thf(6066,plain,
! [SV1011: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a,SV861: set_set_set_a] :
( ( ( ! [SY2484: set_set_set_a] :
~ ~ ( ~ ( ord_le2103863998_set_a @ SY2484 @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ SY2484 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5991]) ).
thf(6067,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ( ( SV110
!= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6000]) ).
thf(6068,plain,
! [SV110: a > e,SV422: set_a,SV704: set_Pr204296108_a_a_e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) @ ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) ) @ SV704 )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6001]) ).
thf(6069,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( SV110 = SV1026 )
= $false )
| ( ( SV422 != SV992 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6002]) ).
thf(6070,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a,SV993: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6003]) ).
thf(6071,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
!= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6004]) ).
thf(6072,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
!= ( produc317566658_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6004]) ).
thf(6073,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6005]) ).
thf(6074,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6006]) ).
thf(6075,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a,SV994: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6007]) ).
thf(6076,plain,
! [SV1020: a > e,SV975: set_a,SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( member_set_a @ SV132 @ ( domain_set_a_a_e @ SV444 ) )
= $true )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6010]) ).
thf(6077,plain,
! [SV1020: a > e,SV975: set_a,SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ~ ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $true )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6011]) ).
thf(6078,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SV1118: a] :
( ( SV161 @ SV1118 )
= ( sK195_SY2583 @ SV473 @ SV161 @ SV1118 ) ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6014]) ).
thf(6079,plain,
! [SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
= ( sK195_SY2583 @ SV473 @ SV161 ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6014]) ).
thf(6080,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
| ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6016]) ).
thf(6081,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6017]) ).
thf(6082,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6017]) ).
thf(6083,plain,
! [SV165: set_set_a,SV742: set_a_e,SV951: set_a > ( a > e ) > $o,SV898: set_a > ( a > e ) > $o,SV477: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV898 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV477 @ ( collec1369693387_a_a_e @ ( produc1341862587_a_e_o @ SV951 ) ) )
= $true )
| ( ( SV898 @ ( sK158_SY2555 @ SV477 @ SV951 @ SV898 @ SV742 @ SV165 ) @ ( sK196_SY2596 @ SV165 @ SV951 @ SV477 @ SV898 @ SV742 ) )
= $true )
| ( ( SV742
= ( image_1149879910_e_a_e @ produc317566658_a_a_e @ SV477 ) )
= $false )
| ( ( SV165
= ( image_64240033_set_a @ produc1040928388_a_a_e @ SV477 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6021]) ).
thf(6084,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a,SV997: produc715398134_a_a_e] :
( ( ( ~ ~ ( ~ ( member1258382221_a_a_e @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) @ SV754 )
| ( SV185
!= ( SV497 @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6023]) ).
thf(6085,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a,SV999: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6024]) ).
thf(6086,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a,SV1001: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6027]) ).
thf(6087,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 != SV796 )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6036]) ).
thf(6088,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 != SV919 )
= $false )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6036]) ).
thf(6089,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 = SV796 )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6037]) ).
thf(6090,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6038]) ).
thf(6091,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ~ ( ~ ( ord_le700723212_a_a_e @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6039]) ).
thf(6092,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a,SV1003: set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le318720350_set_a @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6040]) ).
thf(6093,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 != SV811 )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6041]) ).
thf(6094,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 != SV926 )
= $false )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6041]) ).
thf(6095,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 = SV811 )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6042]) ).
thf(6096,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6043]) ).
thf(6097,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ( ( SV288
!= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6046]) ).
thf(6098,plain,
! [SV288: set_a,SV595: a > e,SV825: set_Pr305929312_set_a] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) @ ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) ) @ SV825 )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6047]) ).
thf(6099,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV595: a > e,SV1037: set_a,SV288: set_a] :
( ( ( SV288 = SV1037 )
= $false )
| ( ( SV595 != SV1006 )
= $true )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6048]) ).
thf(6100,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6051]) ).
thf(6101,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a,SV1008: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6058]) ).
thf(6102,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a,SV1010: set_a] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_a @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6063]) ).
thf(6103,plain,
! [SV855: set_a > $o,SV637: set_a,SV1117: set_a,SV331: set_a > $o] :
( ( ( SV331 @ SV1117 )
= $false )
| ( ( ord_less_eq_set_a @ SV1117 @ ( sK189_SY2477 @ SV637 @ SV855 @ SV331 ) )
= $true )
| ( ( SV855 @ ( order_Greatest_set_a @ SV331 ) )
= $true )
| ( ( SV331 @ ( sK96_SY2285 @ SV855 @ SV637 @ SV331 ) )
= $true )
| ( ( SV331 @ SV637 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6064]) ).
thf(6104,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a,SV1011: set_set_set_a] :
( ( ( ~ ~ ( ~ ( ord_le2103863998_set_a @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6066]) ).
thf(6105,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ( SV110
!= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6067]) ).
thf(6106,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( ! [SV1119: a] :
( ( SV110 @ SV1119 )
= ( SV1026 @ SV1119 ) ) )
= $false )
| ( ( SV422 != SV992 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[6069]) ).
thf(6107,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV422: set_a,SV1026: a > e,SV110: a > e] :
( ( ( SV110 = SV1026 )
= $false )
| ( ( SV422 != SV992 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[6069]) ).
thf(6108,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a,SV993: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6070]) ).
thf(6109,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6071]) ).
thf(6110,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6072]) ).
thf(6111,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ! [SV1120: a] :
( ( produc317566658_a_a_e @ SV432 @ SV1120 )
= ( produc317566658_a_a_e @ SV889 @ SV1120 ) ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6074]) ).
thf(6112,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6074]) ).
thf(6113,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a,SV994: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6075]) ).
thf(6114,plain,
! [SV1020: a > e,SV975: set_a,SV444: set_Pr204296108_a_a_e,SV132: set_a] :
( ( ( ! [SY1995: set_a] :
~ ~ ! [SY1996: a > e] :
~ ~ ( ( SV132 != SY1995 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY1995 @ SY1996 ) @ SV444 ) ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6077]) ).
thf(6115,plain,
! [SV473: set_Pr204296108_a_a_e,SV1121: a,SV161: a > e] :
( ( ( ( SV161 @ SV1121 )
= ( sK195_SY2583 @ SV473 @ SV161 @ SV1121 ) )
= $true )
| ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6078]) ).
thf(6116,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6080]) ).
thf(6117,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6080]) ).
thf(6118,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6081]) ).
thf(6119,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6082]) ).
thf(6120,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a,SV997: produc715398134_a_a_e] :
( ( ( ~ ( ~ ( member1258382221_a_a_e @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) @ SV754 )
| ( SV185
!= ( SV497 @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) ) ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6084]) ).
thf(6121,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a,SV999: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6085]) ).
thf(6122,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a,SV1001: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6086]) ).
thf(6123,plain,
! [SV919: a > e,SV555: a > e,SV796: set_a,SV244: set_a] :
( ( ( SV244 = SV796 )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6087]) ).
thf(6124,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6088]) ).
thf(6125,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( ! [SV1122: a] :
( ( SV555 @ SV1122 )
= ( SV919 @ SV1122 ) ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6090]) ).
thf(6126,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6090]) ).
thf(6127,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ( ~ ( ord_le700723212_a_a_e @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) ) ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6091]) ).
thf(6128,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a,SV1003: set_set_a] :
( ( ( ~ ( ~ ( ord_le318720350_set_a @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) ) ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6092]) ).
thf(6129,plain,
! [SV926: a > e,SV576: a > e,SV811: set_a,SV267: set_a] :
( ( ( SV267 = SV811 )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6093]) ).
thf(6130,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6094]) ).
thf(6131,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( ! [SV1123: a] :
( ( SV576 @ SV1123 )
= ( SV926 @ SV1123 ) ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6096]) ).
thf(6132,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6096]) ).
thf(6133,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ( SV288
!= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6097]) ).
thf(6134,plain,
! [SV825: set_Pr305929312_set_a,SV1037: set_a,SV288: set_a,SV1006: a > e,SV595: a > e] :
( ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6099]) ).
thf(6135,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6100]) ).
thf(6136,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a,SV1008: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6101]) ).
thf(6137,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a,SV1010: set_a] :
( ( ( ~ ( ~ ( ord_less_eq_set_a @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) ) ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6102]) ).
thf(6138,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a,SV1011: set_set_set_a] :
( ( ( ~ ( ~ ( ord_le2103863998_set_a @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) ) ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6104]) ).
thf(6139,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
!= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6105]) ).
thf(6140,plain,
! [SV110: a > e,SV704: set_Pr204296108_a_a_e,SV422: set_a] :
( ( ( SV422
!= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6105]) ).
thf(6141,plain,
! [SV1026: a > e,SV422: set_a,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( SV422 != SV992 )
= $true )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[6106]) ).
thf(6142,plain,
! [SV704: set_Pr204296108_a_a_e,SV1026: a > e,SV110: a > e,SV992: set_a,SV422: set_a] :
( ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6107]) ).
thf(6143,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a,SV993: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) @ SV707 )
| ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6108]) ).
thf(6144,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ! [SV1124: a] :
( ( produc317566658_a_a_e @ SV432 @ SV1124 )
= ( produc317566658_a_a_e @ SV889 @ SV1124 ) ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6110]) ).
thf(6145,plain,
! [SV889: produc715398134_a_a_e,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6110]) ).
thf(6146,plain,
! [SV889: produc715398134_a_a_e,SV1125: a,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 @ SV1125 )
= ( produc317566658_a_a_e @ SV889 @ SV1125 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 )
= ( produc317566658_a_a_e @ SV889 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6111]) ).
thf(6147,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a,SV994: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) @ SV713 )
| ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6113]) ).
thf(6148,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( ~ ~ ! [SY2605: a > e] :
~ ~ ( ( SV132
!= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ SY2605 ) @ SV444 ) ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6114]) ).
thf(6149,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( member_a_e @ SV161 @ ( range_set_a_a_e @ SV473 ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6116]) ).
thf(6150,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6117]) ).
thf(6151,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6119]) ).
thf(6152,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a,SV997: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) @ SV754 )
| ( SV185
!= ( SV497 @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6120]) ).
thf(6153,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a,SV999: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) @ SV764 )
| ( SV197
!= ( image_a_set_a @ SV509 @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6121]) ).
thf(6154,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a,SV1001: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) @ SV783 )
| ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6122]) ).
thf(6155,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( ! [SV1126: a] :
( ( SV555 @ SV1126 )
= ( SV919 @ SV1126 ) ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6124]) ).
thf(6156,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV555: a > e] :
( ( ( SV555 = SV919 )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6124]) ).
thf(6157,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV1127: a,SV555: a > e] :
( ( ( ( SV555 @ SV1127 )
= ( SV919 @ SV1127 ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( SV555 = SV919 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6125]) ).
thf(6158,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) @ SV802 )
| ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6127]) ).
thf(6159,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a,SV1003: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) @ SV808 )
| ( SV263
!= ( image_set_a_a @ SV572 @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6128]) ).
thf(6160,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( ! [SV1128: a] :
( ( SV576 @ SV1128 )
= ( SV926 @ SV1128 ) ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6130]) ).
thf(6161,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV576: a > e] :
( ( ( SV576 = SV926 )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6130]) ).
thf(6162,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV1129: a,SV576: a > e] :
( ( ( ( SV576 @ SV1129 )
= ( SV926 @ SV1129 ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( SV576 = SV926 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6131]) ).
thf(6163,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( SV288
!= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6133]) ).
thf(6164,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV595: a > e] :
( ( ( SV595
!= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6133]) ).
thf(6165,plain,
! [SV825: set_Pr305929312_set_a,SV1037: set_a,SV288: set_a,SV1006: a > e,SV595: a > e] :
( ( ( ! [SV1130: a] :
( ( SV595 @ SV1130 )
= ( SV1006 @ SV1130 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[6134]) ).
thf(6166,plain,
! [SV825: set_Pr305929312_set_a,SV1037: set_a,SV288: set_a,SV1006: a > e,SV595: a > e] :
( ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[6134]) ).
thf(6167,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) @ SV830 )
| ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6135]) ).
thf(6168,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a,SV1008: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) @ SV837 )
| ( SV303
!= ( image_a_a @ SV610 @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6136]) ).
thf(6169,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a,SV1010: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) @ SV853 )
| ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6137]) ).
thf(6170,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a,SV1011: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) @ SV861 )
| ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6138]) ).
thf(6171,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6139]) ).
thf(6172,plain,
! [SV110: a > e,SV704: set_Pr204296108_a_a_e,SV422: set_a] :
( ( ( SV422
= ( sK153_SY2354 @ SV704 @ SV422 @ SV110 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6140]) ).
thf(6173,plain,
! [SV1026: a > e,SV704: set_Pr204296108_a_a_e,SV110: a > e,SV992: set_a,SV422: set_a] :
( ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 ) )
= $true )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6141]) ).
thf(6174,plain,
! [SV422: set_a,SV110: a > e,SV704: set_Pr204296108_a_a_e,SV1026: a > e,SV992: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6142]) ).
thf(6175,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a,SV993: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) @ SV707 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6143]) ).
thf(6176,plain,
! [SV707: set_set_a,SV993: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( SV113
!= ( image_1930509541_set_a @ SV425 @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6143]) ).
thf(6177,plain,
! [SV889: produc715398134_a_a_e,SV1131: a,SV432: produc715398134_a_a_e] :
( ( ( ( produc317566658_a_a_e @ SV432 @ SV1131 )
= ( produc317566658_a_a_e @ SV889 @ SV1131 ) )
= $true )
| ( ( ( produc1040928388_a_a_e @ SV432 )
= ( produc1040928388_a_a_e @ SV889 ) )
= $false )
| ( ( ( produc317566658_a_a_e @ SV432 @ ( sK192_SV1046 @ SV889 @ SV432 ) )
= ( produc317566658_a_a_e @ SV889 @ ( sK192_SV1046 @ SV889 @ SV432 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6144]) ).
thf(6178,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a,SV994: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) @ SV713 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6147]) ).
thf(6179,plain,
! [SV713: set_set_a,SV994: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( SV121
!= ( image_set_a_set_a @ SV433 @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6147]) ).
thf(6180,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( ~ ! [SY2605: a > e] :
~ ~ ( ( SV132
!= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ SY2605 ) @ SV444 ) ) )
= $true )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6148]) ).
thf(6181,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SY2032: set_a] :
~ ~ ! [SY2033: a > e] :
~ ~ ( ( SV161 != SY2033 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2032 @ SY2033 ) @ SV473 ) ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6150]) ).
thf(6182,plain,
! [SV473: set_Pr204296108_a_a_e,SV1021: a > e,SV979: set_a,SV161: a > e] :
( ( ( ~ ~ ! [SY2606: a > e] :
~ ~ ( ( SV161 != SY2606 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ SY2606 ) @ SV473 ) ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6151]) ).
thf(6183,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a,SV997: produc715398134_a_a_e] :
( ( ( ~ ( member1258382221_a_a_e @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) @ SV754 ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6152]) ).
thf(6184,plain,
! [SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( SV185
!= ( SV497 @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6152]) ).
thf(6185,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a,SV999: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) @ SV764 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6153]) ).
thf(6186,plain,
! [SV764: set_a,SV999: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( SV197
!= ( image_a_set_a @ SV509 @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6153]) ).
thf(6187,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a,SV1001: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) @ SV783 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6154]) ).
thf(6188,plain,
! [SV783: set_set_set_a,SV1001: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( SV224
!= ( image_set_set_a_a @ SV536 @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6154]) ).
thf(6189,plain,
! [SV796: set_a,SV244: set_a,SV919: a > e,SV1132: a,SV555: a > e] :
( ( ( ( SV555 @ SV1132 )
= ( SV919 @ SV1132 ) )
= $true )
| ( ( SV244 = SV796 )
= $false )
| ( ( ( SV555 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) )
= ( SV919 @ ( sK199_SV1057 @ SV796 @ SV244 @ SV919 @ SV555 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6155]) ).
thf(6190,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a,SV1002: set_Pr204296108_a_a_e] :
( ( ( ~ ( ord_le700723212_a_a_e @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) @ SV802 ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6158]) ).
thf(6191,plain,
! [SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( SV251
!= ( image_64240033_set_a @ SV561 @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) ) )
= $false )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6158]) ).
thf(6192,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a,SV1003: set_set_a] :
( ( ( ~ ( ord_le318720350_set_a @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) @ SV808 ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6159]) ).
thf(6193,plain,
! [SV808: set_set_a,SV1003: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( SV263
!= ( image_set_a_a @ SV572 @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) ) )
= $false )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6159]) ).
thf(6194,plain,
! [SV811: set_a,SV267: set_a,SV926: a > e,SV1133: a,SV576: a > e] :
( ( ( ( SV576 @ SV1133 )
= ( SV926 @ SV1133 ) )
= $true )
| ( ( SV267 = SV811 )
= $false )
| ( ( ( SV576 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) )
= ( SV926 @ ( sK201_SV1058 @ SV811 @ SV267 @ SV926 @ SV576 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6160]) ).
thf(6195,plain,
! [SV595: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( SV288
= ( sK206_SY2598 @ SV825 @ SV595 @ SV288 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6163]) ).
thf(6196,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV595: a > e] :
( ( ( SV595
= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6164]) ).
thf(6197,plain,
! [SV1006: a > e,SV288: set_a,SV1037: set_a,SV825: set_Pr305929312_set_a,SV595: a > e] :
( ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 ) )
= $true )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[6165]) ).
thf(6198,plain,
! [SV595: a > e,SV288: set_a,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6166]) ).
thf(6199,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a,SV1007: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) @ SV830 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6167]) ).
thf(6200,plain,
! [SV830: set_set_set_a,SV1007: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( SV294
!= ( image_1956910981_set_a @ SV601 @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6167]) ).
thf(6201,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a,SV1008: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) @ SV837 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6168]) ).
thf(6202,plain,
! [SV837: set_a,SV1008: set_a,SV610: a > a,SV303: set_a] :
( ( ( SV303
!= ( image_a_a @ SV610 @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6168]) ).
thf(6203,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a,SV1010: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) @ SV853 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6169]) ).
thf(6204,plain,
! [SV853: set_a,SV1010: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( SV329
!= ( image_a_set_set_a @ SV635 @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6169]) ).
thf(6205,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a,SV1011: set_set_set_a] :
( ( ( ~ ( ord_le2103863998_set_a @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) @ SV861 ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6170]) ).
thf(6206,plain,
! [SV861: set_set_set_a,SV1011: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( SV337
!= ( image_402591269_set_a @ SV643 @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) ) )
= $false )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6170]) ).
thf(6207,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ! [SV1134: a] :
( ( SV110 @ SV1134 )
= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 @ SV1134 ) ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6171]) ).
thf(6208,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6171]) ).
thf(6209,plain,
! [SV422: set_a,SV110: a > e,SV704: set_Pr204296108_a_a_e,SV1026: a > e,SV992: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ~ ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6173]) ).
thf(6210,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6174]) ).
thf(6211,plain,
! [SV707: set_set_a,SV113: set_set_set_a,SV425: set_a > set_set_a,SV993: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) @ SV707 )
= $true )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6175]) ).
thf(6212,plain,
! [SV707: set_set_a,SV993: set_set_a,SV425: set_a > set_set_a,SV113: set_set_set_a] :
( ( ( SV113
= ( image_1930509541_set_a @ SV425 @ ( sK208_SY2359 @ SV993 @ SV425 @ SV113 @ SV707 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV993 @ SV707 )
= $false )
| ( ( SV113
= ( image_1930509541_set_a @ SV425 @ SV993 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6176]) ).
thf(6213,plain,
! [SV713: set_set_a,SV121: set_set_a,SV433: set_a > set_a,SV994: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) @ SV713 )
= $true )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6178]) ).
thf(6214,plain,
! [SV713: set_set_a,SV994: set_set_a,SV433: set_a > set_a,SV121: set_set_a] :
( ( ( SV121
= ( image_set_a_set_a @ SV433 @ ( sK209_SY2367 @ SV994 @ SV433 @ SV121 @ SV713 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV994 @ SV713 )
= $false )
| ( ( SV121
= ( image_set_a_set_a @ SV433 @ SV994 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6179]) ).
thf(6215,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( ! [SY2605: a > e] :
~ ~ ( ( SV132
!= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ SY2605 ) @ SV444 ) ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6180]) ).
thf(6216,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( ~ ~ ! [SY2607: a > e] :
~ ~ ( ( SV161 != SY2607 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ SY2607 ) @ SV473 ) ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6181]) ).
thf(6217,plain,
! [SV473: set_Pr204296108_a_a_e,SV1021: a > e,SV979: set_a,SV161: a > e] :
( ( ( ~ ! [SY2606: a > e] :
~ ~ ( ( SV161 != SY2606 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ SY2606 ) @ SV473 ) ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6182]) ).
thf(6218,plain,
! [SV754: set_Pr204296108_a_a_e,SV185: set_a,SV497: produc715398134_a_a_e > set_a,SV997: produc715398134_a_a_e] :
( ( ( member1258382221_a_a_e @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) @ SV754 )
= $true )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6183]) ).
thf(6219,plain,
! [SV754: set_Pr204296108_a_a_e,SV997: produc715398134_a_a_e,SV497: produc715398134_a_a_e > set_a,SV185: set_a] :
( ( ( SV185
= ( SV497 @ ( sK210_SY2393 @ SV997 @ SV497 @ SV185 @ SV754 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ SV997 @ SV754 )
= $false )
| ( ( SV185
= ( SV497 @ SV997 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6184]) ).
thf(6220,plain,
! [SV764: set_a,SV197: set_set_a,SV509: a > set_a,SV999: set_a] :
( ( ( ord_less_eq_set_a @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) @ SV764 )
= $true )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6185]) ).
thf(6221,plain,
! [SV764: set_a,SV999: set_a,SV509: a > set_a,SV197: set_set_a] :
( ( ( SV197
= ( image_a_set_a @ SV509 @ ( sK211_SY2400 @ SV999 @ SV509 @ SV197 @ SV764 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV999 @ SV764 )
= $false )
| ( ( SV197
= ( image_a_set_a @ SV509 @ SV999 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6186]) ).
thf(6222,plain,
! [SV783: set_set_set_a,SV224: set_a,SV536: set_set_a > a,SV1001: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) @ SV783 )
= $true )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6187]) ).
thf(6223,plain,
! [SV783: set_set_set_a,SV1001: set_set_set_a,SV536: set_set_a > a,SV224: set_a] :
( ( ( SV224
= ( image_set_set_a_a @ SV536 @ ( sK212_SY2412 @ SV1001 @ SV536 @ SV224 @ SV783 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1001 @ SV783 )
= $false )
| ( ( SV224
= ( image_set_set_a_a @ SV536 @ SV1001 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6188]) ).
thf(6224,plain,
! [SV802: set_Pr204296108_a_a_e,SV251: set_set_a,SV561: produc715398134_a_a_e > set_a,SV1002: set_Pr204296108_a_a_e] :
( ( ( ord_le700723212_a_a_e @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) @ SV802 )
= $true )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6190]) ).
thf(6225,plain,
! [SV802: set_Pr204296108_a_a_e,SV1002: set_Pr204296108_a_a_e,SV561: produc715398134_a_a_e > set_a,SV251: set_set_a] :
( ( ( SV251
= ( image_64240033_set_a @ SV561 @ ( sK213_SY2425 @ SV1002 @ SV561 @ SV251 @ SV802 ) ) )
= $true )
| ( ( ord_le700723212_a_a_e @ SV1002 @ SV802 )
= $false )
| ( ( SV251
= ( image_64240033_set_a @ SV561 @ SV1002 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6191]) ).
thf(6226,plain,
! [SV808: set_set_a,SV263: set_a,SV572: set_a > a,SV1003: set_set_a] :
( ( ( ord_le318720350_set_a @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) @ SV808 )
= $true )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6192]) ).
thf(6227,plain,
! [SV808: set_set_a,SV1003: set_set_a,SV572: set_a > a,SV263: set_a] :
( ( ( SV263
= ( image_set_a_a @ SV572 @ ( sK214_SY2433 @ SV1003 @ SV572 @ SV263 @ SV808 ) ) )
= $true )
| ( ( ord_le318720350_set_a @ SV1003 @ SV808 )
= $false )
| ( ( SV263
= ( image_set_a_a @ SV572 @ SV1003 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6193]) ).
thf(6228,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV595: a > e] :
( ( ( ! [SV1135: a] :
( ( SV595 @ SV1135 )
= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 @ SV1135 ) ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6196]) ).
thf(6229,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV595: a > e] :
( ( ( SV595
= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6196]) ).
thf(6230,plain,
! [SV595: a > e,SV288: set_a,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( ~ ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6197]) ).
thf(6231,plain,
! [SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6198]) ).
thf(6232,plain,
! [SV830: set_set_set_a,SV294: set_set_set_a,SV601: set_set_a > set_set_a,SV1007: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) @ SV830 )
= $true )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6199]) ).
thf(6233,plain,
! [SV830: set_set_set_a,SV1007: set_set_set_a,SV601: set_set_a > set_set_a,SV294: set_set_set_a] :
( ( ( SV294
= ( image_1956910981_set_a @ SV601 @ ( sK215_SY2459 @ SV1007 @ SV601 @ SV294 @ SV830 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1007 @ SV830 )
= $false )
| ( ( SV294
= ( image_1956910981_set_a @ SV601 @ SV1007 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6200]) ).
thf(6234,plain,
! [SV837: set_a,SV303: set_a,SV610: a > a,SV1008: set_a] :
( ( ( ord_less_eq_set_a @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) @ SV837 )
= $true )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6201]) ).
thf(6235,plain,
! [SV837: set_a,SV1008: set_a,SV610: a > a,SV303: set_a] :
( ( ( SV303
= ( image_a_a @ SV610 @ ( sK216_SY2461 @ SV1008 @ SV610 @ SV303 @ SV837 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1008 @ SV837 )
= $false )
| ( ( SV303
= ( image_a_a @ SV610 @ SV1008 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6202]) ).
thf(6236,plain,
! [SV853: set_a,SV329: set_set_set_a,SV635: a > set_set_a,SV1010: set_a] :
( ( ( ord_less_eq_set_a @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) @ SV853 )
= $true )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6203]) ).
thf(6237,plain,
! [SV853: set_a,SV1010: set_a,SV635: a > set_set_a,SV329: set_set_set_a] :
( ( ( SV329
= ( image_a_set_set_a @ SV635 @ ( sK217_SY2475 @ SV1010 @ SV635 @ SV329 @ SV853 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV1010 @ SV853 )
= $false )
| ( ( SV329
= ( image_a_set_set_a @ SV635 @ SV1010 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6204]) ).
thf(6238,plain,
! [SV861: set_set_set_a,SV337: set_set_a,SV643: set_set_a > set_a,SV1011: set_set_set_a] :
( ( ( ord_le2103863998_set_a @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) @ SV861 )
= $true )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6205]) ).
thf(6239,plain,
! [SV861: set_set_set_a,SV1011: set_set_set_a,SV643: set_set_a > set_a,SV337: set_set_a] :
( ( ( SV337
= ( image_402591269_set_a @ SV643 @ ( sK218_SY2484 @ SV1011 @ SV643 @ SV337 @ SV861 ) ) )
= $true )
| ( ( ord_le2103863998_set_a @ SV1011 @ SV861 )
= $false )
| ( ( SV337
= ( image_402591269_set_a @ SV643 @ SV1011 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6206]) ).
thf(6240,plain,
! [SV422: set_a,SV704: set_Pr204296108_a_a_e,SV1136: a,SV110: a > e] :
( ( ( ( SV110 @ SV1136 )
= ( sK204_SY2595 @ SV704 @ SV422 @ SV110 @ SV1136 ) )
= $true )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6207]) ).
thf(6241,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
| ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6209]) ).
thf(6242,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6210]) ).
thf(6243,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6210]) ).
thf(6244,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( ~ ~ ( ( SV132
!= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ ( sK224_SY2605 @ SV444 @ SV975 @ SV1020 @ SV132 ) ) @ SV444 ) ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6215]) ).
thf(6245,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( ~ ! [SY2607: a > e] :
~ ~ ( ( SV161 != SY2607 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ SY2607 ) @ SV473 ) ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6216]) ).
thf(6246,plain,
! [SV473: set_Pr204296108_a_a_e,SV1021: a > e,SV979: set_a,SV161: a > e] :
( ( ( ! [SY2606: a > e] :
~ ~ ( ( SV161 != SY2606 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ SY2606 ) @ SV473 ) ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6217]) ).
thf(6247,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1137: a,SV595: a > e] :
( ( ( ( SV595 @ SV1137 )
= ( sK175_SY2457 @ SV825 @ SV595 @ SV288 @ SV1137 ) )
= $true )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6228]) ).
thf(6248,plain,
! [SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
| ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6230]) ).
thf(6249,plain,
! [SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6231]) ).
thf(6250,plain,
! [SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6231]) ).
thf(6251,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6241]) ).
thf(6252,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6241]) ).
thf(6253,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6242]) ).
thf(6254,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6243]) ).
thf(6255,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( ~ ( ( SV132
!= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ ( sK224_SY2605 @ SV444 @ SV975 @ SV1020 @ SV132 ) ) @ SV444 ) ) )
= $true )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6244]) ).
thf(6256,plain,
! [SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e,SV161: a > e] :
( ( ( ! [SY2607: a > e] :
~ ~ ( ( SV161 != SY2607 )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ SY2607 ) @ SV473 ) ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6245]) ).
thf(6257,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ~ ( ( SV161
!= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) ) @ SV473 ) ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6246]) ).
thf(6258,plain,
! [SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6248]) ).
thf(6259,plain,
! [SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6248]) ).
thf(6260,plain,
! [SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6249]) ).
thf(6261,plain,
! [SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6250]) ).
thf(6262,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ SV110 @ SV422 ) @ ( converse_set_a_a_e @ SV704 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6251]) ).
thf(6263,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6252]) ).
thf(6264,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6254]) ).
thf(6265,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( ( SV132
!= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ ( sK224_SY2605 @ SV444 @ SV975 @ SV1020 @ SV132 ) ) @ SV444 ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6255]) ).
thf(6266,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ~ ( ( SV161
!= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) @ SV473 ) ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6256]) ).
thf(6267,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( ( SV161
!= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) ) @ SV473 ) ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6257]) ).
thf(6268,plain,
! [SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV288 @ SV595 ) @ ( converse_a_e_set_a @ SV825 ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6258]) ).
thf(6269,plain,
! [SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6259]) ).
thf(6270,plain,
! [SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6261]) ).
thf(6271,plain,
! [SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2354: set_a] :
~ ~ ! [SY2355: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2355 )
| ( SV422 != SY2354 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SY2354 @ SY2355 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6263]) ).
thf(6272,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a,SV110: a > e] :
( ( ( ~ ~ ! [SY2608: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2608 )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ SY2608 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6264]) ).
thf(6273,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( SV132
!= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6265]) ).
thf(6274,plain,
! [SV132: set_a,SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ ( sK224_SY2605 @ SV444 @ SV975 @ SV1020 @ SV132 ) ) @ SV444 ) )
= $false )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6265]) ).
thf(6275,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ~ ( ( SV161
!= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) @ SV473 ) ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6266]) ).
thf(6276,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ( SV161
!= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) ) @ SV473 ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6267]) ).
thf(6277,plain,
! [SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2457: a > e] :
~ ~ ! [SY2458: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2458 )
| ( SV595 != SY2457 ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ SY2457 @ SY2458 ) @ SV825 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6269]) ).
thf(6278,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ~ ! [SY2609: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2609 )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ SY2609 ) @ SV825 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6270]) ).
thf(6279,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a,SV110: a > e] :
( ( ( ~ ~ ! [SY2610: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2610 )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ SY2610 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6271]) ).
thf(6280,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2608: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2608 )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ SY2608 ) @ SV704 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6272]) ).
thf(6281,plain,
! [SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e,SV132: set_a] :
( ( ( SV132
= ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) )
= $true )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6273]) ).
thf(6282,plain,
! [SV132: set_a,SV444: set_Pr204296108_a_a_e,SV975: set_a,SV1020: a > e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK220_SY1995 @ SV1020 @ SV975 @ SV444 @ SV132 ) @ ( sK224_SY2605 @ SV444 @ SV975 @ SV1020 @ SV132 ) ) @ SV444 )
= $true )
| ( ( SV132 = SV975 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV975 @ SV1020 ) @ SV444 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6274]) ).
thf(6283,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ( SV161
!= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) @ SV473 ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6275]) ).
thf(6284,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
!= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6276]) ).
thf(6285,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e,SV1021: a > e,SV979: set_a] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) ) @ SV473 ) )
= $false )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6276]) ).
thf(6286,plain,
! [SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV595: a > e,SV288: set_a] :
( ( ( ~ ~ ! [SY2611: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2611 )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ SY2611 ) @ SV825 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6277]) ).
thf(6287,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2609: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2609 )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ SY2609 ) @ SV825 ) ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6278]) ).
thf(6288,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a,SV110: a > e] :
( ( ( ~ ! [SY2610: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2610 )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ SY2610 ) @ SV704 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6279]) ).
thf(6289,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2608: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2608 )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ SY2608 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6280]) ).
thf(6290,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
!= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6283]) ).
thf(6291,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) @ SV473 ) )
= $false )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6283]) ).
thf(6292,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6284]) ).
thf(6293,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e,SV1021: a > e,SV979: set_a] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK221_SY2032 @ SV979 @ SV1021 @ SV473 @ SV161 ) @ ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) ) @ SV473 )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6285]) ).
thf(6294,plain,
! [SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV595: a > e,SV288: set_a] :
( ( ( ~ ! [SY2611: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2611 )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ SY2611 ) @ SV825 ) ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6286]) ).
thf(6295,plain,
! [SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2609: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2609 )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ SY2609 ) @ SV825 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6287]) ).
thf(6296,plain,
! [SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a,SV110: a > e] :
( ( ( ! [SY2610: a > e] :
~ ~ ( ~ ~ ( ( SV110 != SY2610 )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ SY2610 ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6288]) ).
thf(6297,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ~ ~ ( ( SV110
!= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6289]) ).
thf(6298,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6290]) ).
thf(6299,plain,
! [SV161: a > e,SV473: set_Pr204296108_a_a_e,SV979: set_a,SV1021: a > e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK223_SY2032 @ SV1021 @ SV979 @ SV473 @ SV161 ) @ ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) @ SV473 )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6291]) ).
thf(6300,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SV1138: a] :
( ( SV161 @ SV1138 )
= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 @ SV1138 ) ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6292]) ).
thf(6301,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6292]) ).
thf(6302,plain,
! [SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV595: a > e,SV288: set_a] :
( ( ( ! [SY2611: set_a] :
~ ~ ( ~ ~ ( ( SV288 != SY2611 )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ SY2611 ) @ SV825 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6294]) ).
thf(6303,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV288
!= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) ) @ SV825 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6295]) ).
thf(6304,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ~ ~ ( ( SV110
!= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6296]) ).
thf(6305,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ( ~ ~ ( ( SV110
!= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6297]) ).
thf(6306,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( ! [SV1139: a] :
( ( SV161 @ SV1139 )
= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 @ SV1139 ) ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6298]) ).
thf(6307,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV161: a > e] :
( ( ( SV161
= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6298]) ).
thf(6308,plain,
! [SV979: set_a,SV1021: a > e,SV473: set_Pr204296108_a_a_e,SV1140: a,SV161: a > e] :
( ( ( ( SV161 @ SV1140 )
= ( sK225_SY2606 @ SV473 @ SV1021 @ SV979 @ SV161 @ SV1140 ) )
= $true )
| ( ( SV161 = SV1021 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6300]) ).
thf(6309,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ~ ~ ( ( SV288
!= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) ) @ SV825 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6302]) ).
thf(6310,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ( ~ ~ ( ( SV288
!= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) ) @ SV825 ) ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6303]) ).
thf(6311,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ( ~ ~ ( ( SV110
!= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6304]) ).
thf(6312,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110
!= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6305]) ).
thf(6313,plain,
! [SV1021: a > e,SV979: set_a,SV473: set_Pr204296108_a_a_e,SV1141: a,SV161: a > e] :
( ( ( ( SV161 @ SV1141 )
= ( sK226_SY2607 @ SV473 @ SV979 @ SV1021 @ SV161 @ SV1141 ) )
= $true )
| ( ( ( SV161 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) )
= ( SV1021 @ ( sK207_SV1108 @ SV473 @ SV979 @ SV1021 @ SV161 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV979 @ SV1021 ) @ SV473 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6306]) ).
thf(6314,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ( ~ ~ ( ( SV288
!= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) ) @ SV825 ) ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6309]) ).
thf(6315,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288
!= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) ) @ SV825 ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6310]) ).
thf(6316,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110
!= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
| ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6311]) ).
thf(6317,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110
!= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6312]) ).
thf(6318,plain,
! [SV110: a > e,SV422: set_a,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6312]) ).
thf(6319,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288
!= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) )
| ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) ) @ SV825 ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6314]) ).
thf(6320,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288
!= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6315]) ).
thf(6321,plain,
! [SV288: set_a,SV595: a > e,SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) ) @ SV825 ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6315]) ).
thf(6322,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ~ ( ( SV110
!= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6316]) ).
thf(6323,plain,
! [SV110: a > e,SV422: set_a,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e] :
( ( ( ~ ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6316]) ).
thf(6324,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ( ( SV110
!= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6317]) ).
thf(6325,plain,
! [SV110: a > e,SV422: set_a,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6318]) ).
thf(6326,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ~ ( ( SV288
!= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6319]) ).
thf(6327,plain,
! [SV288: set_a,SV595: a > e,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e] :
( ( ( ~ ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) ) @ SV825 ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6319]) ).
thf(6328,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ( ( SV288
!= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6320]) ).
thf(6329,plain,
! [SV288: set_a,SV595: a > e,SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) @ ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) ) @ SV825 )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6321]) ).
thf(6330,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ~ ( ( SV110
!= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6322]) ).
thf(6331,plain,
! [SV110: a > e,SV422: set_a,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e] :
( ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) @ ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) ) @ SV704 )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6323]) ).
thf(6332,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ( SV110
!= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6324]) ).
thf(6333,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ~ ( ( SV288
!= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6326]) ).
thf(6334,plain,
! [SV288: set_a,SV595: a > e,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e] :
( ( ( member360729153_set_a @ ( produc479206876_set_a @ ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) @ ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) ) @ SV825 )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6327]) ).
thf(6335,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ( SV288
!= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6328]) ).
thf(6336,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ( SV110
!= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
| ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6330]) ).
thf(6337,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
!= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6332]) ).
thf(6338,plain,
! [SV110: a > e,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a] :
( ( ( SV422
!= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6332]) ).
thf(6339,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( ( SV288
!= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
| ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6333]) ).
thf(6340,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( SV288
!= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6335]) ).
thf(6341,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV595: a > e] :
( ( ( SV595
!= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) )
= $false )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6335]) ).
thf(6342,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
!= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6336]) ).
thf(6343,plain,
! [SV110: a > e,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a] :
( ( ( SV422
!= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) )
= $false )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6336]) ).
thf(6344,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6337]) ).
thf(6345,plain,
! [SV110: a > e,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a] :
( ( ( SV422
= ( sK227_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6338]) ).
thf(6346,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( SV288
!= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6339]) ).
thf(6347,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV595: a > e] :
( ( ( SV595
!= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) )
= $false )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6339]) ).
thf(6348,plain,
! [SV595: a > e,SV1037: set_a,SV1006: a > e,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( SV288
= ( sK232_SY2609 @ SV825 @ SV1006 @ SV1037 @ SV595 @ SV288 ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6340]) ).
thf(6349,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV595: a > e] :
( ( ( SV595
= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6341]) ).
thf(6350,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6342]) ).
thf(6351,plain,
! [SV110: a > e,SV704: set_Pr204296108_a_a_e,SV992: set_a,SV1026: a > e,SV422: set_a] :
( ( ( SV422
= ( sK229_SY2354 @ SV1026 @ SV992 @ SV704 @ SV422 @ SV110 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6343]) ).
thf(6352,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ! [SV1142: a] :
( ( SV110 @ SV1142 )
= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 @ SV1142 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6344]) ).
thf(6353,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6344]) ).
thf(6354,plain,
! [SV595: a > e,SV1006: a > e,SV1037: set_a,SV825: set_Pr305929312_set_a,SV288: set_a] :
( ( ( SV288
= ( sK234_SY2611 @ SV825 @ SV1037 @ SV1006 @ SV595 @ SV288 ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6346]) ).
thf(6355,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV595: a > e] :
( ( ( SV595
= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6347]) ).
thf(6356,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV595: a > e] :
( ( ( ! [SV1143: a] :
( ( SV595 @ SV1143 )
= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 @ SV1143 ) ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6349]) ).
thf(6357,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV595: a > e] :
( ( ( SV595
= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6349]) ).
thf(6358,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( ! [SV1144: a] :
( ( SV110 @ SV1144 )
= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 @ SV1144 ) ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6350]) ).
thf(6359,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV110: a > e] :
( ( ( SV110
= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6350]) ).
thf(6360,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV1145: a,SV110: a > e] :
( ( ( ( SV110 @ SV1145 )
= ( sK231_SY2608 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 @ SV1145 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( SV110 = SV1026 )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6352]) ).
thf(6361,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV595: a > e] :
( ( ( ! [SV1146: a] :
( ( SV595 @ SV1146 )
= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 @ SV1146 ) ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6355]) ).
thf(6362,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV595: a > e] :
( ( ( SV595
= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[6355]) ).
thf(6363,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1006: a > e,SV1037: set_a,SV1147: a,SV595: a > e] :
( ( ( ( SV595 @ SV1147 )
= ( sK228_SY2457 @ SV1037 @ SV1006 @ SV825 @ SV595 @ SV288 @ SV1147 ) )
= $true )
| ( ( SV595 = SV1006 )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6356]) ).
thf(6364,plain,
! [SV422: set_a,SV1026: a > e,SV992: set_a,SV704: set_Pr204296108_a_a_e,SV1148: a,SV110: a > e] :
( ( ( ( SV110 @ SV1148 )
= ( sK233_SY2610 @ SV704 @ SV992 @ SV1026 @ SV422 @ SV110 @ SV1148 ) )
= $true )
| ( ( SV422 = SV992 )
= $false )
| ( ( ( SV110 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) )
= ( SV1026 @ ( sK219_SV1119 @ SV704 @ SV992 @ SV422 @ SV1026 @ SV110 ) ) )
= $false )
| ( ( member1258382221_a_a_e @ ( produc1134456688_a_a_e @ SV992 @ SV1026 ) @ SV704 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6358]) ).
thf(6365,plain,
! [SV288: set_a,SV825: set_Pr305929312_set_a,SV1037: set_a,SV1006: a > e,SV1149: a,SV595: a > e] :
( ( ( ( SV595 @ SV1149 )
= ( sK230_SY2457 @ SV1006 @ SV1037 @ SV825 @ SV595 @ SV288 @ SV1149 ) )
= $true )
| ( ( ( SV595 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) )
= ( SV1006 @ ( sK222_SV1130 @ SV825 @ SV1037 @ SV288 @ SV1006 @ SV595 ) ) )
= $false )
| ( ( SV288 = SV1037 )
= $false )
| ( ( member360729153_set_a @ ( produc479206876_set_a @ SV1006 @ SV1037 ) @ SV825 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6361]) ).
thf(6366,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[717,6365,6364,6363,6362,6360,6359,6357,6354,6353,6351,6348,6345,6334,6331,6329,6325,6313,6308,6307,6301,6299,6293,6282,6281,6268,6262,6260,6253,6247,6240,6239,6238,6237,6236,6235,6234,6233,6232,6229,6227,6226,6225,6224,6223,6222,6221,6220,6219,6218,6214,6213,6212,6211,6208,6195,6194,6189,6177,6172,6162,6161,6157,6156,6149,6146,6145,6132,6129,6126,6123,6118,6115,6112,6109,6103,6098,6095,6089,6083,6079,6076,6073,6068,6065,6062,6061,6060,6059,6057,6056,6055,6054,6053,6052,6050,6049,6045,6044,6035,6034,6033,6032,6031,6030,6029,6028,6026,6025,6022,6020,6019,6018,6015,6013,6012,6009,6008,5999,5998,5997,5996,5995,5994,5993,5992,5990,5986,5983,5982,5981,5977,5969,5964,5961,5960,5959,5956,5954,5952,5949,5944,5938,5935,5933,5931,5930,5920,5914,5912,5909,5907,5896,5895,5894,5893,5890,5889,5888,5883,5882,5880,5878,5877,5873,5872,5866,5865,5861,5859,5857,5855,5854,5852,5849,5846,5845,5842,5841,5839,5836,5833,5831,5826,5825,5823,5821,5820,5819,5818,5815,5814,5811,5810,5809,5804,5799,5794,5792,5789,5788,5786,5783,5780,5779,5775,5773,5771,5770,5769,5768,5767,5766,5764,5762,5761,5760,5759,5758,5753,5750,5748,5742,5741,5738,5737,5736,5730,5728,5726,5721,5713,5712,5709,5708,5707,5703,5698,5691,5688,5686,5683,5682,5679,5677,5673,5671,5668,5667,5664,5663,5654,5647,5642,5640,5639,5638,5637,5632,5624,5616,5615,5612,5611,5608,5607,5605,5604,5602,5601,5598,5597,5592,5591,5588,5587,5586,5585,5584,5575,5573,5564,5563,5562,5560,5557,5556,5551,5550,5547,5546,5543,5542,5537,5536,5531,5530,5524,5523,5522,5520,5518,5517,5513,5512,5508,5507,5504,5500,5497,5496,5493,5492,5489,5488,5487,5482,5481,5478,5477,5473,5472,5469,5468,5465,5464,5463,5462,5451,5448,5444,5443,5442,5437,5436,5433,5430,5429,5425,5424,5423,5422,5421,5420,5414,5413,5405,5404,5401,5396,5395,5390,5389,5384,5383,5380,5379,5378,5375,5366,5361,5360,5359,5357,5355,5349,5348,5343,5342,5334,5328,5327,5306,5299,5295,5293,5287,5282,5280,5276,5263,5248,5246,5244,5239,5234,5233,5221,5214,5210,5200,5198,5190,5187,5186,5185,5184,5180,5174,5173,5166,5162,5153,5152,5146,5145,5139,5138,5137,5135,5131,5121,5117,5111,5110,5109,5108,5106,5105,5103,5096,5061,5059,5058,5052,5046,5041,5040,5032,5031,5018,5010,5008,4987,4981,4980,4979,4961,4960,4956,4953,4951,4943,4934,4924,4918,4916,4909,4884,4858,4855,4854,4848,4845,4842,4837,4831,4830,4821,4820,4818,4812,4810,4809,4805,4804,4800,4799,4798,4797,4792,4791,4787,4782,4779,4775,4774,4773,4768,4766,4763,4760,4759,4755,4749,4745,4742,4741,4740,4731,4729,4725,4723,4718,4714,4712,4711,4710,4709,4705,4701,4700,4699,4698,4697,4696,4692,4686,4681,4679,4676,4675,4671,4662,4660,4650,4649,4648,4647,4646,4645,4638,4637,4629,4624,4623,4621,4603,4602,4600,4599,4591,4588,4584,4579,4575,4566,4554,4548,4532,4531,4529,4528,4527,4517,4504,4472,4453,4445,4444,4440,4436,4435,4386,4378,4375,4367,4363,4359,4353,4349,4341,4334,4333,4331,4328,4312,4305,4304,4303,4302,4301,4300,4299,4298,4297,4296,4295,4294,4293,4292,4291,4290,4287,4286,4274,4273,4260,4259,4224,4223,4220,4206,4193,4174,4162,4161,4148,4145,4134,4122,4121,4120,4113,4112,4109,4102,4101,4100,4097,4094,4067,4045,4044,4043,4025,4024,4023,4022,4021,4018,4017,4014,4013,4011,4010,4009,4008,4007,4006,4005,4004,3987,3986,3985,3984,3983,3982,3981,3980,3979,3978,3977,3976,3972,3964,3961,3960,3956,3949,3948,3947,3944,3943,3942,3941,3938,3931,3920,3916,3913,3907,3888,3876,3869,3856,3855,3841,3831,3816,3815,3797,3796,3793,3782,3781,3780,3765,3764,3763,3757,3733,3718,3716,3707,3689,3688,3687,3686,3655,3652,3646,3644,3642,3640,3637,3636,3635,3633,3631,3629,3625,3617,3613,3612,3608,3607,3600,3594,3578,3566,3565,3563,3561,3558,3557,3535,3527,3526,3521,3520,3516,3514,3509,3508,3507,3506,3501,3500,3494,3486,3482,3481,3475,3474,3470,3464,3461,3455,3450,3448,3439,3433,3431,3422,3419,3418,3414,3412,3410,3407,3405,3404,3403,3401,3397,3395,3385,3345,3341,3338,3336,3325,3286,3272,3269,3267,3264,3256,3245,3242,3236,3229,3216,3214,3203,3198,3186,3173,3165,3158,3143,3134,3128,3124,3110,3109,3094,3093,3066,3062,3054,3048,3046,3043,3039,3036,3035,3033,3030,3028,3025,3023,3022,3018,3011,2997,2991,2985,2977,2976,2974,2972,2969,2965,2961,2958,2956,2952,2949,2945,2943,2941,2937,2935,2922,2917,2913,2904,2894,2893,2889,2888,2883,2878,2877,2876,2871,2870,2867,2866,2865,2860,2856,2845,2842,2840,2836,2831,2826,2824,2820,2816,2813,2808,2805,2798,2792,2786,2779,2764,2762,2760,2758,2743,2741,2739,2731,2704,2694,2687,2684,2676,2661,2653,2651,2648,2621,2619,2602,2593,2590,2577,2558,2542,2519,2514,2511,2502,2498,2494,2490,2489,2481,2478,2458,2455,2441,2426,2424,2423,2421,2419,2417,2412,2397,2370,2368,2365,2360,2353,2346,2322,2300,2296,2293,2287,2283,2273,2270,2268,2231,2224,2214,2212,2203,2199,2190,2188,2178,2170,2164,2152,2141,2139,2134,2112,2103,2085,2083,2081,2079,2077,2075,2072,2066,2064,2062,2002,1757,1755,1752,1751,1748,1747,1744,1742,1725,1698,1696,1693,1688,1681,1674,1629,1625,1622,1616,1612,1600,1598,1555,1545,1531,1521,1504,1498,1486,1473,1468,1437,1419,1418,1416,1414,1412,1410,1408,1407,1405,1404,1401,1400,1399,1396,1395,1394,1392,1384,1382,1381,1379,1377,1376,1373,1372,1371,1370,1369,1368,1367,1366,1365,1364,1363,1362,1361,1021,722,721,720,719,718]) ).
thf(6367,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[6366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP028^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n003.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 11:16:54 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 127.22/21.46 ...
% 127.22/21.46
% 127.22/21.46 No.of.Axioms: 353
% 127.22/21.46
% 127.22/21.46 Length.of.Defs: 0
% 127.22/21.46
% 127.22/21.46 Contains.Choice.Funs: true
% 127.22/21.46 .................................................................................................................................................................................................................
% 127.22/21.46
% 127.22/21.46 ********************************
% 127.22/21.46 * All subproblems solved! *
% 127.22/21.46 ********************************
% 127.22/21.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:353,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:6366,loop_count:0,foatp_calls:1,translation:fof_full)
% 127.22/21.46
% 127.22/21.46 %**** Beginning of derivation protocol ****
% 127.22/21.46 % SZS output start CNFRefutation
% See solution above
% 21.41/21.53
% 21.41/21.53 %**** End of derivation protocol ****
% 21.41/21.53 %**** no. of clauses in derivation: 6367 ****
% 21.41/21.53 %**** clause counter: 6366 ****
% 21.41/21.53
% 21.41/21.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:353,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:6366,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------