%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP042^1 : 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 : n020.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 10:23:47 AM UTC 2026
% Result : Theorem 7.22s 1.49s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 52
% Syntax : Number of formulae : 966 ( 322 unt; 0 typ; 0 def)
% Number of atoms : 7321 (2557 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 8319 (1474 ~;1848 |; 47 &;4869 @)
% ( 0 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 29 ( 28 usr)
% Number of type conns : 280 ( 280 >; 0 *; 0 +; 0 <<)
% Number of symbols : 106 ( 103 usr; 14 con; 0-3 aty)
% Number of variables : 2105 ( 443 ^;1624 !; 38 ?;2105 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_bounde472938360z_real,type,
bounde472938360z_real: $tType ).
thf(tp_denota610675952t_unit,type,
denota610675952t_unit: $tType ).
thf(tp_denota723907260t_unit,type,
denota723907260t_unit: $tType ).
thf(tp_finite1390225514real_b,type,
finite1390225514real_b: $tType ).
thf(tp_finite824932053eal_sz,type,
finite824932053eal_sz: $tType ).
thf(tp_freche1734198479_a_c_b,type,
freche1734198479_a_c_b: $tType ).
thf(tp_freche2095075217_sc_sz,type,
freche2095075217_sc_sz: $tType ).
thf(tp_frechet_strm_a_b,type,
frechet_strm_a_b: $tType ).
thf(tp_frechet_strm_sf_sz,type,
frechet_strm_sf_sz: $tType ).
thf(tp_produc1149990247eal_sz,type,
produc1149990247eal_sz: $tType ).
thf(tp_produc133005365real_b,type,
produc133005365real_b: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_De153000604t_unit,type,
set_De153000604t_unit: $tType ).
thf(tp_set_De208295462t_unit,type,
set_De208295462t_unit: $tType ).
thf(tp_set_Fi268318752real_b,type,
set_Fi268318752real_b: $tType ).
thf(tp_set_Fi291318197eal_sz,type,
set_Fi291318197eal_sz: $tType ).
thf(tp_set_Su111624115um_c_b,type,
set_Su111624115um_c_b: $tType ).
thf(tp_set_Sum_sum_b_b,type,
set_Sum_sum_b_b: $tType ).
thf(tp_set_Sum_sum_sz_sz,type,
set_Sum_sum_sz_sz: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_sf,type,
set_sf: $tType ).
thf(tp_set_trm_a_b,type,
set_trm_a_b: $tType ).
thf(tp_set_trm_sf_sz,type,
set_trm_sf_sz: $tType ).
thf(tp_sum_su1965225555um_c_b,type,
sum_su1965225555um_c_b: $tType ).
thf(tp_sum_sum_b_b,type,
sum_sum_b_b: $tType ).
thf(tp_trm_a_b,type,
trm_a_b: $tType ).
thf(tp_trm_sf_sz,type,
trm_sf_sz: $tType ).
thf(tp_collec1002602816eal_sz,type,
collec1002602816eal_sz: ( finite824932053eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(tp_collec1166375742um_c_b,type,
collec1166375742um_c_b: ( sum_su1965225555um_c_b > $o ) > set_Su111624115um_c_b ).
thf(tp_collec1767975749t_unit,type,
collec1767975749t_unit: ( denota610675952t_unit > $o ) > set_De208295462t_unit ).
thf(tp_collec944067751t_unit,type,
collec944067751t_unit: ( denota723907260t_unit > $o ) > set_De153000604t_unit ).
thf(tp_collect_Sum_sum_b_b,type,
collect_Sum_sum_b_b: ( sum_sum_b_b > $o ) > set_Sum_sum_b_b ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_trm_a_b,type,
collect_trm_a_b: ( trm_a_b > $o ) > set_trm_a_b ).
thf(tp_collect_trm_sf_sz,type,
collect_trm_sf_sz: ( trm_sf_sz > $o ) > set_trm_sf_sz ).
thf(tp_denota102713844ree_sz,type,
denota102713844ree_sz: produc1149990247eal_sz > produc1149990247eal_sz > set_Sum_sum_sz_sz > $o ).
thf(tp_denota102976244t_unit,type,
denota102976244t_unit: denota723907260t_unit > a > finite1390225514real_b > real ).
thf(tp_denota1086158987_a_c_b,type,
denota1086158987_a_c_b: denota723907260t_unit > $o ).
thf(tp_denota1179238309_sc_sz,type,
denota1179238309_sc_sz: denota610675952t_unit > trm_sf_sz > finite824932053eal_sz > real ).
thf(tp_denota1579475975_sc_sz,type,
denota1579475975_sc_sz: denota610675952t_unit > $o ).
thf(tp_denota1997846517gree_b,type,
denota1997846517gree_b: produc133005365real_b > produc133005365real_b > set_Sum_sum_b_b > $o ).
thf(tp_denota722380397_a_c_b,type,
denota722380397_a_c_b: denota723907260t_unit > trm_a_b > finite1390225514real_b > real ).
thf(tp_denota896875430_a_c_b,type,
denota896875430_a_c_b: denota723907260t_unit > denota723907260t_unit > set_Su111624115um_c_b > $o ).
thf(tp_dfree_a_b,type,
dfree_a_b: trm_a_b > $o ).
thf(tp_dfree_sf_sz,type,
dfree_sf_sz: trm_sf_sz > $o ).
thf(tp_domain134596861rm_a_b,type,
domain134596861rm_a_b: ( trm_a_b > frechet_strm_a_b > $o ) > trm_a_b > $o ).
thf(tp_domain413207655_sc_sz,type,
domain413207655_sc_sz: ( denota610675952t_unit > freche2095075217_sc_sz > $o ) > denota610675952t_unit > $o ).
thf(tp_domain512309999_sf_sz,type,
domain512309999_sf_sz: ( trm_sf_sz > frechet_strm_sf_sz > $o ) > trm_sf_sz > $o ).
thf(tp_freche1046279700_sf_sz,type,
freche1046279700_sf_sz: trm_sf_sz > frechet_strm_sf_sz ).
thf(tp_freche1244000341_sf_sz,type,
freche1244000341_sf_sz: trm_sf_sz > frechet_strm_sf_sz > $o ).
thf(tp_freche1421597129_sc_sz,type,
freche1421597129_sc_sz: freche2095075217_sc_sz > denota610675952t_unit ).
thf(tp_freche153761090_a_c_b,type,
freche153761090_a_c_b: denota723907260t_unit > freche1734198479_a_c_b ).
thf(tp_freche1784963216_sc_sz,type,
freche1784963216_sc_sz: denota610675952t_unit > freche2095075217_sc_sz ).
thf(tp_freche288321865_a_c_b,type,
freche288321865_a_c_b: freche1734198479_a_c_b > denota723907260t_unit ).
thf(tp_freche585307148_sc_sz,type,
freche585307148_sc_sz: freche2095075217_sc_sz > frechet_strm_sf_sz > finite824932053eal_sz > bounde472938360z_real ).
thf(tp_freche58918398_sc_sz,type,
freche58918398_sc_sz: denota610675952t_unit > freche2095075217_sc_sz > $o ).
thf(tp_freche665377491rm_a_b,type,
freche665377491rm_a_b: trm_a_b > frechet_strm_a_b ).
thf(tp_freche782854530_sf_sz,type,
freche782854530_sf_sz: frechet_strm_sf_sz > trm_sf_sz ).
thf(tp_frechet_cr_strm_a_b,type,
frechet_cr_strm_a_b: trm_a_b > frechet_strm_a_b > $o ).
thf(tp_frechet_raw_term_a_b,type,
frechet_raw_term_a_b: frechet_strm_a_b > trm_a_b ).
thf(tp_i,type,
i: denota723907260t_unit ).
thf(tp_if_Bou1785791806z_real,type,
if_Bou1785791806z_real: $o > bounde472938360z_real > bounde472938360z_real > bounde472938360z_real ).
thf(tp_j,type,
j: denota723907260t_unit ).
thf(tp_member122424677t_unit,type,
member122424677t_unit: denota723907260t_unit > set_De153000604t_unit > $o ).
thf(tp_member1693951742eal_sz,type,
member1693951742eal_sz: finite824932053eal_sz > set_Fi291318197eal_sz > $o ).
thf(tp_member754147591t_unit,type,
member754147591t_unit: denota610675952t_unit > set_De208295462t_unit > $o ).
thf(tp_member973578748um_c_b,type,
member973578748um_c_b: sum_su1965225555um_c_b > set_Su111624115um_c_b > $o ).
thf(tp_member_Sum_sum_b_b,type,
member_Sum_sum_b_b: sum_sum_b_b > set_Sum_sum_b_b > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_trm_a_b,type,
member_trm_a_b: trm_a_b > set_trm_a_b > $o ).
thf(tp_member_trm_sf_sz,type,
member_trm_sf_sz: trm_sf_sz > set_trm_sf_sz > $o ).
thf(tp_nu,type,
nu: produc133005365real_b ).
thf(tp_nu2,type,
nu2: produc133005365real_b ).
thf(tp_ord_le1306331338_b_b_o,type,
ord_le1306331338_b_b_o: ( sum_sum_b_b > $o ) > ( sum_sum_b_b > $o ) > $o ).
thf(tp_ord_le1404954451um_c_b,type,
ord_le1404954451um_c_b: set_Su111624115um_c_b > set_Su111624115um_c_b > $o ).
thf(tp_ord_le1534094666_c_b_o,type,
ord_le1534094666_c_b_o: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > $o ).
thf(tp_ord_le1697056455_sf_sz,type,
ord_le1697056455_sf_sz: set_trm_sf_sz > set_trm_sf_sz > $o ).
thf(tp_ord_le230080206rm_a_b,type,
ord_le230080206rm_a_b: set_trm_a_b > set_trm_a_b > $o ).
thf(tp_ord_le41263445eal_sz,type,
ord_le41263445eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > $o ).
thf(tp_ord_le412705147um_b_b,type,
ord_le412705147um_b_b: set_Sum_sum_b_b > set_Sum_sum_b_b > $o ).
thf(tp_ord_le767445194real_b,type,
ord_le767445194real_b: finite1390225514real_b > finite1390225514real_b > $o ).
thf(tp_ord_le793200597real_b,type,
ord_le793200597real_b: produc133005365real_b > produc133005365real_b > $o ).
thf(tp_ord_less_eq_a_o,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_produc1111759555eal_sz,type,
produc1111759555eal_sz: produc1149990247eal_sz > finite824932053eal_sz ).
thf(tp_produc936751193real_b,type,
produc936751193real_b: produc133005365real_b > finite1390225514real_b ).
thf(tp_sK1_SX0,type,
sK1_SX0: a ).
thf(tp_sK2_SY214,type,
sK2_SY214: set_a > a ).
thf(tp_sK3_SY263,type,
sK3_SY263: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(tp_sK4_SY271,type,
sK4_SY271: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(tp_sK5_SY272,type,
sK5_SY272: set_a > set_a > a ).
thf(tp_sK6_SY247,type,
sK6_SY247: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(tp_sK7_SY301,type,
sK7_SY301: set_a > set_a > a ).
thf(tp_sK8_SY302,type,
sK8_SY302: set_a > set_a > a ).
thf(tp_static_FVT_a_b,type,
static_FVT_a_b: trm_a_b > set_Sum_sum_b_b ).
thf(tp_static_FVT_sf_sz,type,
static_FVT_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(tp_static_SIGT_a_b,type,
static_SIGT_a_b: trm_a_b > set_a ).
thf(tp_static_SIGT_sf_sz,type,
static_SIGT_sf_sz: trm_sf_sz > set_sf ).
thf(tp_sum_In811702836um_c_b,type,
sum_In811702836um_c_b: a > sum_su1965225555um_c_b ).
thf(tp_sup_su1211201046_c_b_o,type,
sup_su1211201046_c_b_o: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b > $o ).
thf(tp_sup_su1321388937eal_sz,type,
sup_su1321388937eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > set_Fi291318197eal_sz ).
thf(tp_sup_su1581595657real_b,type,
sup_su1581595657real_b: produc133005365real_b > produc133005365real_b > produc133005365real_b ).
thf(tp_sup_su1670953621_sz_sz,type,
sup_su1670953621_sz_sz: set_Sum_sum_sz_sz > set_Sum_sum_sz_sz > set_Sum_sum_sz_sz ).
thf(tp_sup_su2024788734_b_b_o,type,
sup_su2024788734_b_b_o: ( sum_sum_b_b > $o ) > ( sum_sum_b_b > $o ) > sum_sum_b_b > $o ).
thf(tp_sup_su2133361046real_b,type,
sup_su2133361046real_b: finite1390225514real_b > finite1390225514real_b > finite1390225514real_b ).
thf(tp_sup_su2137030215um_b_b,type,
sup_su2137030215um_b_b: set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ).
thf(tp_sup_su296826759um_c_b,type,
sup_su296826759um_c_b: set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ).
thf(tp_sup_sup_a_o,type,
sup_sup_a_o: ( a > $o ) > ( a > $o ) > a > $o ).
thf(tp_sup_sup_o,type,
sup_sup_o: $o > $o > $o ).
thf(tp_sup_sup_set_a,type,
sup_sup_set_a: set_a > set_a > set_a ).
thf(tp_sup_sup_set_sf,type,
sup_sup_set_sf: set_sf > set_sf > set_sf ).
thf(tp_theta_1,type,
theta_1: trm_a_b ).
thf(tp_theta_2,type,
theta_2: trm_a_b ).
thf(tp_times_a_b,type,
times_a_b: trm_a_b > trm_a_b > trm_a_b ).
thf(tp_times_sf_sz,type,
times_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(tp_top_to1849113498_c_b_o,type,
top_to1849113498_c_b_o: sum_su1965225555um_c_b > $o ).
thf(tp_top_to1873962757eal_sz,type,
top_to1873962757eal_sz: set_Fi291318197eal_sz ).
thf(tp_top_to301096907um_b_b,type,
top_to301096907um_b_b: set_Sum_sum_b_b ).
thf(tp_top_to502572752real_b,type,
top_to502572752real_b: set_Fi268318752real_b ).
thf(tp_top_to646513176l_sz_o,type,
top_to646513176l_sz_o: finite824932053eal_sz > $o ).
thf(tp_top_to999478531um_c_b,type,
top_to999478531um_c_b: set_Su111624115um_c_b ).
thf(tp_top_top_a_o,type,
top_top_a_o: a > $o ).
thf(tp_top_top_set_a,type,
top_top_set_a: set_a ).
thf(tp_topolo1348430467z_real,type,
topolo1348430467z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > real ) > $o ).
thf(tp_topolo238266006b_real,type,
topolo238266006b_real: set_Fi268318752real_b > ( finite1390225514real_b > real ) > $o ).
thf(tp_topolo885751137z_real,type,
topolo885751137z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > bounde472938360z_real ) > $o ).
thf(tp_type_d1092523951t_unit,type,
type_d1092523951t_unit: ( freche2095075217_sc_sz > denota610675952t_unit ) > ( denota610675952t_unit > freche2095075217_sc_sz ) > set_De208295462t_unit > $o ).
thf(tp_type_d2045870413rm_a_b,type,
type_d2045870413rm_a_b: ( frechet_strm_a_b > trm_a_b ) > ( trm_a_b > frechet_strm_a_b ) > set_trm_a_b > $o ).
thf(tp_type_d46389773_sf_sz,type,
type_d46389773_sf_sz: ( frechet_strm_sf_sz > trm_sf_sz ) > ( trm_sf_sz > frechet_strm_sf_sz ) > set_trm_sf_sz > $o ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Bounded____Linear____Function__Oblinfun_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__sz_J_Mt__Real__Oreal_J_T) ).
thf(4,axiom,
! [A3: set_Su111624115um_c_b,P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ A3
@ ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( P @ X )
& ( Q @ X ) ) ) )
= ( ( ord_le1404954451um_c_b @ A3 @ ( collec1166375742um_c_b @ P ) )
& ( ord_le1404954451um_c_b @ A3 @ ( collec1166375742um_c_b @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_354_conj__subset__def) ).
thf(9,axiom,
! [X2: a] : ( member_a @ X2 @ top_top_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_iso__tuple__UNIV__I) ).
thf(12,axiom,
( top_to999478531um_c_b
= ( collec1166375742um_c_b @ top_to1849113498_c_b_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_top__set__def) ).
thf(14,axiom,
( top_top_a_o
= ( ^ [X: a] : ( member_a @ X @ top_top_set_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_top__empty__eq) ).
thf(18,axiom,
( top_to999478531um_c_b
= ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_UNIV__def) ).
thf(20,axiom,
! [A3: set_a] :
( ! [X3: a] : ( member_a @ X3 @ A3 )
=> ( top_top_set_a = A3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_UNIV__eq__I) ).
thf(22,axiom,
? [X3: a] : ( member_a @ X3 @ top_top_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_UNIV__witness) ).
thf(40,axiom,
! [X2: a] : ( member_a @ X2 @ top_top_set_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_UNIV__I) ).
thf(42,axiom,
! [R: set_a,S: set_a] :
( ( ord_less_eq_a_o
@ ^ [X: a] : ( member_a @ X @ R )
@ ^ [X: a] : ( member_a @ X @ S ) )
= ( ord_less_eq_set_a @ R @ S ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_pred__subset__eq) ).
thf(44,axiom,
! [R: set_a,S: set_a] :
( ( sup_sup_a_o
@ ^ [X: a] : ( member_a @ X @ R )
@ ^ [X: a] : ( member_a @ X @ S ) )
= ( ^ [X: a] : ( member_a @ X @ ( sup_sup_set_a @ R @ S ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_sup__Un__eq) ).
thf(146,axiom,
! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( P @ X )
| ( Q @ X ) ) )
= ( sup_su296826759um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_Collect__disj__eq) ).
thf(148,axiom,
( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ X @ A4 )
| ( member973578748um_c_b @ X @ B3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_Un__def) ).
thf(149,axiom,
( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ^ [X: a] :
( ( member_a @ X @ A4 )
| ( member_a @ X @ B3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_Un__def) ).
thf(150,axiom,
! [A3: set_Su111624115um_c_b,P: sum_su1965225555um_c_b > $o] :
( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ X @ A3 )
& ( P @ X ) ) )
@ A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_Collect__subset) ).
thf(151,axiom,
! [A3: set_a,P: a > $o] :
( ord_less_eq_set_a
@ ( collect_a
@ ^ [X: a] :
( ( member_a @ X @ A3 )
& ( P @ X ) ) )
@ A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_Collect__subset) ).
thf(160,axiom,
! [C2: a,B: set_a,A3: set_a] :
( ( member_a @ C2 @ B )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_UnI2) ).
thf(162,axiom,
! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_UnI1) ).
thf(164,axiom,
! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) )
=> ( ~ ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_UnE) ).
thf(177,axiom,
! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) )
= ( ! [X: sum_su1965225555um_c_b] :
( ( P @ X )
=> ( Q @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_Collect__mono__iff) ).
thf(180,axiom,
! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ! [X3: sum_su1965225555um_c_b] :
( ( P @ X3 )
=> ( Q @ X3 ) )
=> ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_Collect__mono) ).
thf(183,axiom,
( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_subset__iff) ).
thf(187,axiom,
( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
! [X: a] :
( ( member_a @ X @ A4 )
=> ( member_a @ X @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_subset__eq) ).
thf(190,axiom,
! [A3: set_a,B: set_a,C2: a] :
( ( ord_less_eq_set_a @ A3 @ B )
=> ( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_subsetD) ).
thf(192,axiom,
! [A3: set_a,B: set_a,X2: a] :
( ( ord_less_eq_set_a @ A3 @ B )
=> ( ( member_a @ X2 @ A3 )
=> ( member_a @ X2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_in__mono) ).
thf(194,axiom,
( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
( ord_less_eq_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_less__eq__set__def) ).
thf(196,axiom,
( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ A4 )
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ B3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_sup__set__def) ).
thf(197,axiom,
( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ( sup_sup_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_sup__set__def) ).
thf(199,axiom,
! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) )
= ( ( member_a @ C2 @ A3 )
| ( member_a @ C2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_Un__iff) ).
thf(201,axiom,
! [C2: a,B: set_a,A3: set_a] :
( ( ~ ( member_a @ C2 @ B )
=> ( member_a @ C2 @ A3 ) )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_UnCI) ).
thf(240,axiom,
! [A3: set_a,B: set_a] :
( ! [X3: a] :
( ( member_a @ X3 @ A3 )
=> ( member_a @ X3 @ B ) )
=> ( ord_less_eq_set_a @ A3 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_subsetI) ).
thf(261,axiom,
! [T1: trm_a_b,T2: trm_a_b] :
( ( static_SIGT_a_b @ ( times_a_b @ T1 @ T2 ) )
= ( sup_sup_set_a @ ( static_SIGT_a_b @ T1 ) @ ( static_SIGT_a_b @ T2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_SIGT_Osimps_I5_J) ).
thf(283,axiom,
! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ! [X3: sum_su1965225555um_c_b] :
( ( P @ X3 )
= ( Q @ X3 ) )
=> ( ( collec1166375742um_c_b @ P )
= ( collec1166375742um_c_b @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_Collect__cong) ).
thf(289,axiom,
! [A3: set_Su111624115um_c_b] :
( ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ A3 ) )
= A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_Collect__mem__eq) ).
thf(290,axiom,
! [A3: set_a] :
( ( collect_a
@ ^ [X: a] : ( member_a @ X @ A3 ) )
= A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_Collect__mem__eq) ).
thf(295,axiom,
! [A: sum_su1965225555um_c_b,P: sum_su1965225555um_c_b > $o] :
( ( member973578748um_c_b @ A @ ( collec1166375742um_c_b @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_mem__Collect__eq) ).
thf(296,axiom,
! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_mem__Collect__eq) ).
thf(306,axiom,
! [A3: set_Su111624115um_c_b,B: set_Su111624115um_c_b,I: denota723907260t_unit,J: denota723907260t_unit] :
( ( ord_le1404954451um_c_b @ A3 @ B )
=> ( ( denota896875430_a_c_b @ I @ J @ B )
=> ( denota896875430_a_c_b @ I @ J @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_Iagree__sub) ).
thf(344,axiom,
! [I: denota723907260t_unit,J: denota723907260t_unit,V: set_Su111624115um_c_b,F: a] :
( ( denota896875430_a_c_b @ I @ J @ V )
=> ( ( member973578748um_c_b @ ( sum_In811702836um_c_b @ F ) @ V )
=> ( ( denota102976244t_unit @ I @ F )
= ( denota102976244t_unit @ J @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_Iagree__Func) ).
thf(347,axiom,
! [X2: a,Y: a] :
( ( ( sum_In811702836um_c_b @ X2 )
= ( sum_In811702836um_c_b @ Y ) )
=> ( X2 = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_Inl__inject) ).
thf(348,axiom,
! [I: denota723907260t_unit,A3: set_Su111624115um_c_b] : ( denota896875430_a_c_b @ I @ I @ A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_Iagree__refl) ).
thf(349,axiom,
! [A3: denota723907260t_unit,B: denota723907260t_unit,V: set_Su111624115um_c_b] :
( ( denota896875430_a_c_b @ A3 @ B @ V )
=> ( denota896875430_a_c_b @ B @ A3 @ V ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_Iagree__comm) ).
thf(350,axiom,
( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_Isubs_I1_J) ).
thf(351,axiom,
( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_Isubs_I2_J) ).
thf(352,axiom,
! [A: a,A2: a] :
( ( ( sum_In811702836um_c_b @ A )
= ( sum_In811702836um_c_b @ A2 ) )
= ( A = A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_old_Osum_Oinject_I1_J) ).
thf(353,axiom,
! [X1: a,Y1: a] :
( ( ( sum_In811702836um_c_b @ X1 )
= ( sum_In811702836um_c_b @ Y1 ) )
= ( X1 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_sum_Oinject_I1_J) ).
thf(354,axiom,
dfree_a_b @ theta_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_dfree__Times_Ohyps_I1_J) ).
thf(355,axiom,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_dfree__Times_Oprems_I2_J) ).
thf(356,axiom,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) )
| ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_IA) ).
thf(357,axiom,
! [I: denota723907260t_unit,J: denota723907260t_unit] :
( ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0622_125_092_060close_062) ).
thf(358,axiom,
! [I: denota723907260t_unit,J: denota723907260t_unit] :
( ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062) ).
thf(359,conjecture,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(360,negated_conjecture,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[359]) ).
thf(361,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[360]) ).
thf(362,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(363,plain,
( ( ! [A3: set_Su111624115um_c_b,P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ A3
@ ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( P @ X )
& ( Q @ X ) ) ) )
= ( ( ord_le1404954451um_c_b @ A3 @ ( collec1166375742um_c_b @ P ) )
& ( ord_le1404954451um_c_b @ A3 @ ( collec1166375742um_c_b @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(364,plain,
( ( ! [X2: a] : ( member_a @ X2 @ top_top_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(365,plain,
( ( top_to999478531um_c_b
= ( collec1166375742um_c_b @ top_to1849113498_c_b_o ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(366,plain,
( ( top_top_a_o
= ( ^ [X: a] : ( member_a @ X @ top_top_set_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(367,plain,
( ( top_to999478531um_c_b
= ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] : $true ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(368,plain,
( ( ! [A3: set_a] :
( ! [X3: a] : ( member_a @ X3 @ A3 )
=> ( top_top_set_a = A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(369,plain,
( ( ? [X3: a] : ( member_a @ X3 @ top_top_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(370,plain,
( ( ! [X2: a] : ( member_a @ X2 @ top_top_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(371,plain,
( ( ! [R: set_a,S: set_a] :
( ( ord_less_eq_a_o
@ ^ [X: a] : ( member_a @ X @ R )
@ ^ [X: a] : ( member_a @ X @ S ) )
= ( ord_less_eq_set_a @ R @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(372,plain,
( ( ! [R: set_a,S: set_a] :
( ( sup_sup_a_o
@ ^ [X: a] : ( member_a @ X @ R )
@ ^ [X: a] : ( member_a @ X @ S ) )
= ( ^ [X: a] : ( member_a @ X @ ( sup_sup_set_a @ R @ S ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(373,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( P @ X )
| ( Q @ X ) ) )
= ( sup_su296826759um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(374,plain,
( ( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ X @ A4 )
| ( member973578748um_c_b @ X @ B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(375,plain,
( ( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ^ [X: a] :
( ( member_a @ X @ A4 )
| ( member_a @ X @ B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(376,plain,
( ( ! [A3: set_Su111624115um_c_b,P: sum_su1965225555um_c_b > $o] :
( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ X @ A3 )
& ( P @ X ) ) )
@ A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(377,plain,
( ( ! [A3: set_a,P: a > $o] :
( ord_less_eq_set_a
@ ( collect_a
@ ^ [X: a] :
( ( member_a @ X @ A3 )
& ( P @ X ) ) )
@ A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(378,plain,
( ( ! [C2: a,B: set_a,A3: set_a] :
( ( member_a @ C2 @ B )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(379,plain,
( ( ! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(380,plain,
( ( ! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) )
=> ( ~ ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(381,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) )
= ( ! [X: sum_su1965225555um_c_b] :
( ( P @ X )
=> ( Q @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(382,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ! [X3: sum_su1965225555um_c_b] :
( ( P @ X3 )
=> ( Q @ X3 ) )
=> ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(383,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(384,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
! [X: a] :
( ( member_a @ X @ A4 )
=> ( member_a @ X @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(385,plain,
( ( ! [A3: set_a,B: set_a,C2: a] :
( ( ord_less_eq_set_a @ A3 @ B )
=> ( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(386,plain,
( ( ! [A3: set_a,B: set_a,X2: a] :
( ( ord_less_eq_set_a @ A3 @ B )
=> ( ( member_a @ X2 @ A3 )
=> ( member_a @ X2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(387,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
( ord_less_eq_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(388,plain,
( ( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ A4 )
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(389,plain,
( ( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ( sup_sup_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(390,plain,
( ( ! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) )
= ( ( member_a @ C2 @ A3 )
| ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(391,plain,
( ( ! [C2: a,B: set_a,A3: set_a] :
( ( ~ ( member_a @ C2 @ B )
=> ( member_a @ C2 @ A3 ) )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(392,plain,
( ( ! [A3: set_a,B: set_a] :
( ! [X3: a] :
( ( member_a @ X3 @ A3 )
=> ( member_a @ X3 @ B ) )
=> ( ord_less_eq_set_a @ A3 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(393,plain,
( ( ! [T1: trm_a_b,T2: trm_a_b] :
( ( static_SIGT_a_b @ ( times_a_b @ T1 @ T2 ) )
= ( sup_sup_set_a @ ( static_SIGT_a_b @ T1 ) @ ( static_SIGT_a_b @ T2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(394,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ! [X3: sum_su1965225555um_c_b] :
( ( P @ X3 )
= ( Q @ X3 ) )
=> ( ( collec1166375742um_c_b @ P )
= ( collec1166375742um_c_b @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(395,plain,
( ( ! [A3: set_Su111624115um_c_b] :
( ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ A3 ) )
= A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(396,plain,
( ( ! [A3: set_a] :
( ( collect_a
@ ^ [X: a] : ( member_a @ X @ A3 ) )
= A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(397,plain,
( ( ! [A: sum_su1965225555um_c_b,P: sum_su1965225555um_c_b > $o] :
( ( member973578748um_c_b @ A @ ( collec1166375742um_c_b @ P ) )
= ( P @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(398,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(399,plain,
( ( ! [A3: set_Su111624115um_c_b,B: set_Su111624115um_c_b,I: denota723907260t_unit,J: denota723907260t_unit] :
( ( ord_le1404954451um_c_b @ A3 @ B )
=> ( ( denota896875430_a_c_b @ I @ J @ B )
=> ( denota896875430_a_c_b @ I @ J @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(400,plain,
( ( ! [I: denota723907260t_unit,J: denota723907260t_unit,V: set_Su111624115um_c_b,F: a] :
( ( denota896875430_a_c_b @ I @ J @ V )
=> ( ( member973578748um_c_b @ ( sum_In811702836um_c_b @ F ) @ V )
=> ( ( denota102976244t_unit @ I @ F )
= ( denota102976244t_unit @ J @ F ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(401,plain,
( ( ! [X2: a,Y: a] :
( ( ( sum_In811702836um_c_b @ X2 )
= ( sum_In811702836um_c_b @ Y ) )
=> ( X2 = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(402,plain,
( ( ! [I: denota723907260t_unit,A3: set_Su111624115um_c_b] : ( denota896875430_a_c_b @ I @ I @ A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(403,plain,
( ( ! [A3: denota723907260t_unit,B: denota723907260t_unit,V: set_Su111624115um_c_b] :
( ( denota896875430_a_c_b @ A3 @ B @ V )
=> ( denota896875430_a_c_b @ B @ A3 @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(404,plain,
( ( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(405,plain,
( ( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(406,plain,
( ( ! [A: a,A2: a] :
( ( ( sum_In811702836um_c_b @ A )
= ( sum_In811702836um_c_b @ A2 ) )
= ( A = A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(407,plain,
( ( ! [X1: a,Y1: a] :
( ( ( sum_In811702836um_c_b @ X1 )
= ( sum_In811702836um_c_b @ Y1 ) )
= ( X1 = Y1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(408,plain,
( ( dfree_a_b @ theta_1 )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(409,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(410,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) )
| ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(411,plain,
( ( ! [I: denota723907260t_unit,J: denota723907260t_unit] :
( ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(412,plain,
( ( ! [I: denota723907260t_unit,J: denota723907260t_unit] :
( ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(413,plain,
( ( ~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[361]) ).
thf(414,plain,
( ( ! [I: denota723907260t_unit,J: denota723907260t_unit] :
( ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(415,plain,
( ( ! [I: denota723907260t_unit,J: denota723907260t_unit] :
( ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(416,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) )
| ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(417,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(418,plain,
( ( dfree_a_b @ theta_1 )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(419,plain,
( ( ! [X1: a,Y1: a] :
( ( ( sum_In811702836um_c_b @ X1 )
= ( sum_In811702836um_c_b @ Y1 ) )
= ( X1 = Y1 ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(420,plain,
( ( ! [A: a,A2: a] :
( ( ( sum_In811702836um_c_b @ A )
= ( sum_In811702836um_c_b @ A2 ) )
= ( A = A2 ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(421,plain,
( ( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_2 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(422,plain,
( ( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(423,plain,
( ( ! [A3: denota723907260t_unit,B: denota723907260t_unit,V: set_Su111624115um_c_b] :
( ( denota896875430_a_c_b @ A3 @ B @ V )
=> ( denota896875430_a_c_b @ B @ A3 @ V ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(424,plain,
( ( ! [I: denota723907260t_unit,A3: set_Su111624115um_c_b] : ( denota896875430_a_c_b @ I @ I @ A3 ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(425,plain,
( ( ! [X2: a,Y: a] :
( ( ( sum_In811702836um_c_b @ X2 )
= ( sum_In811702836um_c_b @ Y ) )
=> ( X2 = Y ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(426,plain,
( ( ! [I: denota723907260t_unit,J: denota723907260t_unit,V: set_Su111624115um_c_b,F: a] :
( ( denota896875430_a_c_b @ I @ J @ V )
=> ( ( member973578748um_c_b @ ( sum_In811702836um_c_b @ F ) @ V )
=> ( ( denota102976244t_unit @ I @ F )
= ( denota102976244t_unit @ J @ F ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(427,plain,
( ( ! [A3: set_Su111624115um_c_b,B: set_Su111624115um_c_b,I: denota723907260t_unit,J: denota723907260t_unit] :
( ( ord_le1404954451um_c_b @ A3 @ B )
=> ( ( denota896875430_a_c_b @ I @ J @ B )
=> ( denota896875430_a_c_b @ I @ J @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(428,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(429,plain,
( ( ! [A: sum_su1965225555um_c_b,P: sum_su1965225555um_c_b > $o] :
( ( member973578748um_c_b @ A @ ( collec1166375742um_c_b @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(430,plain,
( ( ! [A3: set_a] :
( ( collect_a
@ ^ [X: a] : ( member_a @ X @ A3 ) )
= A3 ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(431,plain,
( ( ! [A3: set_Su111624115um_c_b] :
( ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ A3 ) )
= A3 ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(432,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ! [X3: sum_su1965225555um_c_b] :
( ( P @ X3 )
= ( Q @ X3 ) )
=> ( ( collec1166375742um_c_b @ P )
= ( collec1166375742um_c_b @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(433,plain,
( ( ! [T1: trm_a_b,T2: trm_a_b] :
( ( static_SIGT_a_b @ ( times_a_b @ T1 @ T2 ) )
= ( sup_sup_set_a @ ( static_SIGT_a_b @ T1 ) @ ( static_SIGT_a_b @ T2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(434,plain,
( ( ! [A3: set_a,B: set_a] :
( ! [X3: a] :
( ( member_a @ X3 @ A3 )
=> ( member_a @ X3 @ B ) )
=> ( ord_less_eq_set_a @ A3 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(435,plain,
( ( ! [C2: a,B: set_a,A3: set_a] :
( ( ~ ( member_a @ C2 @ B )
=> ( member_a @ C2 @ A3 ) )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(436,plain,
( ( ! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) )
= ( ( member_a @ C2 @ A3 )
| ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(437,plain,
( ( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ( sup_sup_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(438,plain,
( ( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ A4 )
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(439,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
( ord_less_eq_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(440,plain,
( ( ! [A3: set_a,B: set_a,X2: a] :
( ( ord_less_eq_set_a @ A3 @ B )
=> ( ( member_a @ X2 @ A3 )
=> ( member_a @ X2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(441,plain,
( ( ! [A3: set_a,B: set_a,C2: a] :
( ( ord_less_eq_set_a @ A3 @ B )
=> ( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(442,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
! [X: a] :
( ( member_a @ X @ A4 )
=> ( member_a @ X @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(443,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
! [T: a] :
( ( member_a @ T @ A4 )
=> ( member_a @ T @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(444,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ! [X3: sum_su1965225555um_c_b] :
( ( P @ X3 )
=> ( Q @ X3 ) )
=> ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(445,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) )
= ( ! [X: sum_su1965225555um_c_b] :
( ( P @ X )
=> ( Q @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(446,plain,
( ( ! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) )
=> ( ~ ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(447,plain,
( ( ! [C2: a,A3: set_a,B: set_a] :
( ( member_a @ C2 @ A3 )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(448,plain,
( ( ! [C2: a,B: set_a,A3: set_a] :
( ( member_a @ C2 @ B )
=> ( member_a @ C2 @ ( sup_sup_set_a @ A3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(449,plain,
( ( ! [A3: set_a,P: a > $o] :
( ord_less_eq_set_a
@ ( collect_a
@ ^ [X: a] :
( ( member_a @ X @ A3 )
& ( P @ X ) ) )
@ A3 ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(450,plain,
( ( ! [A3: set_Su111624115um_c_b,P: sum_su1965225555um_c_b > $o] :
( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ X @ A3 )
& ( P @ X ) ) )
@ A3 ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(451,plain,
( ( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ^ [X: a] :
( ( member_a @ X @ A4 )
| ( member_a @ X @ B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(452,plain,
( ( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ X @ A4 )
| ( member973578748um_c_b @ X @ B3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(453,plain,
( ( ! [P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( P @ X )
| ( Q @ X ) ) )
= ( sup_su296826759um_c_b @ ( collec1166375742um_c_b @ P ) @ ( collec1166375742um_c_b @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(454,plain,
( ( ! [R: set_a,S: set_a] :
( ( sup_sup_a_o
@ ^ [X: a] : ( member_a @ X @ R )
@ ^ [X: a] : ( member_a @ X @ S ) )
= ( ^ [X: a] : ( member_a @ X @ ( sup_sup_set_a @ R @ S ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(455,plain,
( ( ! [R: set_a,S: set_a] :
( ( ord_less_eq_a_o
@ ^ [X: a] : ( member_a @ X @ R )
@ ^ [X: a] : ( member_a @ X @ S ) )
= ( ord_less_eq_set_a @ R @ S ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(456,plain,
( ( ! [X2: a] : ( member_a @ X2 @ top_top_set_a ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(457,plain,
( ( ? [X3: a] : ( member_a @ X3 @ top_top_set_a ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(458,plain,
( ( ! [A3: set_a] :
( ! [X3: a] : ( member_a @ X3 @ A3 )
=> ( top_top_set_a = A3 ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(459,plain,
( ( top_to999478531um_c_b
= ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] : $true ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(460,plain,
( ( top_top_a_o
= ( ^ [X: a] : ( member_a @ X @ top_top_set_a ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(461,plain,
( ( top_to999478531um_c_b
= ( collec1166375742um_c_b @ top_to1849113498_c_b_o ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(462,plain,
( ( ! [X2: a] : ( member_a @ X2 @ top_top_set_a ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(463,plain,
( ( ! [A3: set_Su111624115um_c_b,P: sum_su1965225555um_c_b > $o,Q: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ A3
@ ( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( P @ X )
& ( Q @ X ) ) ) )
= ( ( ord_le1404954451um_c_b @ A3 @ ( collec1166375742um_c_b @ P ) )
& ( ord_le1404954451um_c_b @ A3 @ ( collec1166375742um_c_b @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(464,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(465,plain,
( ( ~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(466,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)],[442]) ).
thf(467,plain,
( ( ! [SX0: sum_su1965225555um_c_b > $o,SX1: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SX0 ) @ ( collec1166375742um_c_b @ SX1 ) )
= ( ! [SX2: sum_su1965225555um_c_b] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(468,plain,
( ( ! [SX0: set_Su111624115um_c_b,SX1: sum_su1965225555um_c_b > $o] :
( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ( ~ ( member973578748um_c_b @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) )
@ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(469,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)],[443]) ).
thf(470,plain,
( ( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( member_a @ SX1 @ ( static_SIGT_a_b @ theta_1 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( member_a @ SX1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(471,plain,
( ( ! [SX0: denota723907260t_unit,SX1: denota723907260t_unit,SX2: set_Su111624115um_c_b] :
( ~ ( denota896875430_a_c_b @ SX0 @ SX1 @ SX2 )
| ( denota896875430_a_c_b @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(472,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)],[440]) ).
thf(473,plain,
( ( ! [SX0: set_Su111624115um_c_b,SX1: sum_su1965225555um_c_b > $o,SX2: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ SX0
@ ( collec1166375742um_c_b
@ ^ [SX3: sum_su1965225555um_c_b] :
~ ( ~ ( SX1 @ SX3 )
| ~ ( SX2 @ SX3 ) ) ) )
= ( ~ ( ~ ( ord_le1404954451um_c_b @ SX0 @ ( collec1166375742um_c_b @ SX1 ) )
| ~ ( ord_le1404954451um_c_b @ SX0 @ ( collec1166375742um_c_b @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(474,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ( ~ ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ SX2 ) )
| ( member_a @ SX0 @ ( sup_sup_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(475,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ ( sup_sup_set_a @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(476,plain,
( ( ! [SX0: denota723907260t_unit,SX1: denota723907260t_unit,SX2: set_Su111624115um_c_b,SX3: a] :
( ~ ( denota896875430_a_c_b @ SX0 @ SX1 @ SX2 )
| ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SX3 ) @ SX2 )
| ( ( denota102976244t_unit @ SX0 @ SX3 )
= ( denota102976244t_unit @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(477,plain,
( ( ! [SX0: denota723907260t_unit,SX1: denota723907260t_unit] :
( ~ ( denota896875430_a_c_b @ SX0 @ SX1
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
| ( denota896875430_a_c_b @ SX0 @ SX1
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(478,plain,
( ( ! [SX0: sum_su1965225555um_c_b > $o,SX1: sum_su1965225555um_c_b > $o] :
( ~ ! [SX2: sum_su1965225555um_c_b] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SX0 ) @ ( collec1166375742um_c_b @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(479,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ ( sup_sup_set_a @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(480,plain,
( ( ~ ! [SX0: a] :
~ ( member_a @ SX0 @ top_top_set_a ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(481,plain,
( ( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( member_a @ SX1 @ ( static_SIGT_a_b @ theta_2 ) ) ) )
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( member_a @ SX1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(482,plain,
( ( ! [SX0: denota723907260t_unit,SX1: denota723907260t_unit] :
( ~ ( denota896875430_a_c_b @ SX0 @ SX1
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
| ( denota896875430_a_c_b @ SX0 @ SX1
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(483,plain,
( ( ! [SX0: a,SX1: set_a,SX2: set_a] :
( ~ ( member_a @ SX0 @ ( sup_sup_set_a @ SX1 @ SX2 ) )
| ~ ~ ( member_a @ SX0 @ SX1 )
| ( member_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(484,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( member_a @ SX1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(485,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)],[441]) ).
thf(486,plain,
( ( ! [SX0: set_a] :
( ~ ! [SX1: a] : ( member_a @ SX1 @ SX0 )
| ( top_top_set_a = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(487,plain,
( ( ! [SX0: sum_su1965225555um_c_b > $o,SX1: sum_su1965225555um_c_b > $o] :
( ~ ! [SX2: sum_su1965225555um_c_b] :
( ( SX0 @ SX2 )
= ( SX1 @ SX2 ) )
| ( ( collec1166375742um_c_b @ SX0 )
= ( collec1166375742um_c_b @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(488,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( ( member_a @ SX1 @ ( static_SIGT_a_b @ theta_1 ) )
| ( member_a @ SX1 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(489,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)],[434]) ).
thf(490,plain,
( ( ! [SX0: set_a,SX1: a > $o] :
( ord_less_eq_set_a
@ ( collect_a
@ ^ [SX2: a] :
~ ( ~ ( member_a @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 ) ) )
@ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(491,plain,
( ( ! [SX0: a,SX1: a] :
( ( ( sum_In811702836um_c_b @ SX0 )
!= ( sum_In811702836um_c_b @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(492,plain,
( ( ~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( member_a @ SX1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(493,plain,
( ( ! [SX0: set_Su111624115um_c_b,SX1: set_Su111624115um_c_b,SX2: denota723907260t_unit,SX3: denota723907260t_unit] :
( ~ ( ord_le1404954451um_c_b @ SX0 @ SX1 )
| ~ ( denota896875430_a_c_b @ SX2 @ SX3 @ SX1 )
| ( denota896875430_a_c_b @ SX2 @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(494,plain,
! [SV1: a] :
( ( ! [SY142: a] :
( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SY142 ) )
= ( SV1 = SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(495,plain,
! [SV2: a] :
( ( ! [SY143: a] :
( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SY143 ) )
= ( SV2 = SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(496,plain,
! [SV3: denota723907260t_unit] :
( ( ! [SY144: set_Su111624115um_c_b] : ( denota896875430_a_c_b @ SV3 @ SV3 @ SY144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(497,plain,
! [SV4: a] :
( ( ! [SY145: a > $o] :
( ( member_a @ SV4 @ ( collect_a @ SY145 ) )
= ( SY145 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(498,plain,
! [SV5: sum_su1965225555um_c_b] :
( ( ! [SY146: sum_su1965225555um_c_b > $o] :
( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SY146 ) )
= ( SY146 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(499,plain,
! [SV6: set_a] :
( ( ( collect_a
@ ^ [SY147: a] : ( member_a @ SY147 @ SV6 ) )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(500,plain,
! [SV7: set_Su111624115um_c_b] :
( ( ( collec1166375742um_c_b
@ ^ [SY148: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY148 @ SV7 ) )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(501,plain,
! [SV8: trm_a_b] :
( ( ! [SY149: trm_a_b] :
( ( static_SIGT_a_b @ ( times_a_b @ SV8 @ SY149 ) )
= ( sup_sup_set_a @ ( static_SIGT_a_b @ SV8 ) @ ( static_SIGT_a_b @ SY149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(502,plain,
! [SV9: a] :
( ( ! [SY150: set_a,SY151: set_a] :
( ( member_a @ SV9 @ ( sup_sup_set_a @ SY150 @ SY151 ) )
= ( ( member_a @ SV9 @ SY150 )
| ( member_a @ SV9 @ SY151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(503,plain,
( ( ! [SV10: set_a] :
( ( sup_sup_set_a @ SV10 )
= ( ^ [SY152: set_a] :
( collect_a
@ ( sup_sup_a_o
@ ^ [SY153: a] : ( member_a @ SY153 @ SV10 )
@ ^ [X: a] : ( member_a @ X @ SY152 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[437]) ).
thf(504,plain,
( ( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ( sup_sup_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[437]) ).
thf(505,plain,
( ( ! [SV11: set_Su111624115um_c_b] :
( ( sup_su296826759um_c_b @ SV11 )
= ( ^ [SY155: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [SY156: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY156 @ SV11 )
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ SY155 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(506,plain,
( ( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ A4 )
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ B3 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(507,plain,
( ( ! [SV12: set_a] :
( ( ord_less_eq_set_a @ SV12 )
= ( ^ [SY158: set_a] :
( ord_less_eq_a_o
@ ^ [SY159: a] : ( member_a @ SY159 @ SV12 )
@ ^ [X: a] : ( member_a @ X @ SY158 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[439]) ).
thf(508,plain,
( ( ord_less_eq_set_a
= ( ^ [A4: set_a,B3: set_a] :
( ord_less_eq_a_o
@ ^ [X: a] : ( member_a @ X @ A4 )
@ ^ [X: a] : ( member_a @ X @ B3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[439]) ).
thf(509,plain,
( ( ! [SV13: set_a] :
( ( sup_sup_set_a @ SV13 )
= ( ^ [SY161: set_a] :
( collect_a
@ ^ [SY162: a] :
( ( member_a @ SY162 @ SV13 )
| ( member_a @ SY162 @ SY161 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(510,plain,
( ( sup_sup_set_a
= ( ^ [A4: set_a,B3: set_a] :
( collect_a
@ ^ [X: a] :
( ( member_a @ X @ A4 )
| ( member_a @ X @ B3 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(511,plain,
( ( ! [SV14: set_Su111624115um_c_b] :
( ( sup_su296826759um_c_b @ SV14 )
= ( ^ [SY163: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ^ [SY164: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ SY164 @ SV14 )
| ( member973578748um_c_b @ SY164 @ SY163 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[452]) ).
thf(512,plain,
( ( sup_su296826759um_c_b
= ( ^ [A4: set_Su111624115um_c_b,B3: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ^ [X: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ X @ A4 )
| ( member973578748um_c_b @ X @ B3 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[452]) ).
thf(513,plain,
! [SV15: sum_su1965225555um_c_b > $o] :
( ( ! [SY165: sum_su1965225555um_c_b > $o] :
( ( collec1166375742um_c_b
@ ^ [SY166: sum_su1965225555um_c_b] :
( ( SV15 @ SY166 )
| ( SY165 @ SY166 ) ) )
= ( sup_su296826759um_c_b @ ( collec1166375742um_c_b @ SV15 ) @ ( collec1166375742um_c_b @ SY165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(514,plain,
! [SV16: set_a] :
( ( ! [SY167: set_a] :
( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [X: a] : ( member_a @ X @ SY167 ) )
= ( ^ [SY170: a] : ( member_a @ SY170 @ ( sup_sup_set_a @ SV16 @ SY167 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(515,plain,
! [SV17: set_a] :
( ( ! [SY171: set_a] :
( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [X: a] : ( member_a @ X @ SY171 ) )
= ( ord_less_eq_set_a @ SV17 @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(516,plain,
! [SV18: a] :
( ( member_a @ SV18 @ top_top_set_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(517,plain,
( ( ! [SV19: a] :
( ( top_top_a_o @ SV19 )
= ( member_a @ SV19 @ top_top_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[460]) ).
thf(518,plain,
( ( top_top_a_o
= ( ^ [X: a] : ( member_a @ X @ top_top_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[460]) ).
thf(519,plain,
! [SV20: a] :
( ( member_a @ SV20 @ top_top_set_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(520,plain,
! [SV21: $o] :
( ( ( SV21 = $true )
| ( SV21 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[464]) ).
thf(521,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[464]) ).
thf(522,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[464]) ).
thf(523,plain,
( ( ! [SV22: set_a] :
( ( ord_less_eq_set_a @ SV22 )
= ( ^ [SY174: set_a] :
! [SY175: a] :
( ~ ( member_a @ SY175 @ SV22 )
| ( member_a @ SY175 @ SY174 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[466]) ).
thf(524,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)],[466]) ).
thf(525,plain,
! [SV23: sum_su1965225555um_c_b > $o] :
( ( ! [SY176: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SY176 ) )
= ( ! [SY177: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY177 )
| ( SY176 @ SY177 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(526,plain,
! [SV24: set_Su111624115um_c_b] :
( ( ! [SY178: sum_su1965225555um_c_b > $o] :
( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [SY179: sum_su1965225555um_c_b] :
~ ( ~ ( member973578748um_c_b @ SY179 @ SV24 )
| ~ ( SY178 @ SY179 ) ) )
@ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(527,plain,
( ( ! [SV25: set_a] :
( ( ord_less_eq_set_a @ SV25 )
= ( ^ [SY180: set_a] :
! [SY181: a] :
( ~ ( member_a @ SY181 @ SV25 )
| ( member_a @ SY181 @ SY180 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[469]) ).
thf(528,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)],[469]) ).
thf(529,plain,
! [SV26: denota723907260t_unit] :
( ( ! [SY182: denota723907260t_unit,SY183: set_Su111624115um_c_b] :
( ~ ( denota896875430_a_c_b @ SV26 @ SY182 @ SY183 )
| ( denota896875430_a_c_b @ SY182 @ SV26 @ SY183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(530,plain,
! [SV27: set_a] :
( ( ! [SY184: set_a,SY185: a] :
( ~ ( ord_less_eq_set_a @ SV27 @ SY184 )
| ~ ( member_a @ SY185 @ SV27 )
| ( member_a @ SY185 @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(531,plain,
! [SV28: set_Su111624115um_c_b] :
( ( ! [SY186: sum_su1965225555um_c_b > $o,SY187: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SX3: sum_su1965225555um_c_b] :
~ ( ~ ( SY186 @ SX3 )
| ~ ( SY187 @ SX3 ) ) ) )
= ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SY186 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SY187 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(532,plain,
! [SV29: a] :
( ( ! [SY189: set_a,SY190: set_a] :
( ~ ( ~ ~ ( member_a @ SV29 @ SY189 )
| ( member_a @ SV29 @ SY190 ) )
| ( member_a @ SV29 @ ( sup_sup_set_a @ SY190 @ SY189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(533,plain,
! [SV30: a] :
( ( ! [SY191: set_a,SY192: set_a] :
( ~ ( member_a @ SV30 @ SY191 )
| ( member_a @ SV30 @ ( sup_sup_set_a @ SY192 @ SY191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(534,plain,
! [SV31: denota723907260t_unit] :
( ( ! [SY193: denota723907260t_unit,SY194: set_Su111624115um_c_b,SY195: a] :
( ~ ( denota896875430_a_c_b @ SV31 @ SY193 @ SY194 )
| ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SY195 ) @ SY194 )
| ( ( denota102976244t_unit @ SV31 @ SY195 )
= ( denota102976244t_unit @ SY193 @ SY195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(535,plain,
! [SV32: denota723907260t_unit] :
( ( ! [SY196: denota723907260t_unit] :
( ~ ( denota896875430_a_c_b @ SV32 @ SY196
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
| ( denota896875430_a_c_b @ SV32 @ SY196
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(536,plain,
! [SV33: sum_su1965225555um_c_b > $o] :
( ( ! [SY201: sum_su1965225555um_c_b > $o] :
( ~ ! [SY202: sum_su1965225555um_c_b] :
( ~ ( SV33 @ SY202 )
| ( SY201 @ SY202 ) )
| ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(537,plain,
! [SV34: a] :
( ( ! [SY203: set_a,SY204: set_a] :
( ~ ( member_a @ SV34 @ SY203 )
| ( member_a @ SV34 @ ( sup_sup_set_a @ SY203 @ SY204 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(538,plain,
( ( ! [SX0: a] :
~ ( member_a @ SX0 @ top_top_set_a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(539,plain,
! [SV35: denota723907260t_unit] :
( ( ! [SY205: denota723907260t_unit] :
( ~ ( denota896875430_a_c_b @ SV35 @ SY205
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
| ( denota896875430_a_c_b @ SV35 @ SY205
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(540,plain,
! [SV36: a] :
( ( ! [SY210: set_a,SY211: set_a] :
( ~ ( member_a @ SV36 @ ( sup_sup_set_a @ SY210 @ SY211 ) )
| ~ ~ ( member_a @ SV36 @ SY210 )
| ( member_a @ SV36 @ SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(541,plain,
! [SV37: set_a] :
( ( ! [SY212: set_a,SY213: a] :
( ~ ( ord_less_eq_set_a @ SV37 @ SY212 )
| ~ ( member_a @ SY213 @ SV37 )
| ( member_a @ SY213 @ SY212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(542,plain,
! [SV38: set_a] :
( ( ~ ! [SY214: a] : ( member_a @ SY214 @ SV38 )
| ( top_top_set_a = SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(543,plain,
! [SV39: sum_su1965225555um_c_b > $o] :
( ( ! [SY215: sum_su1965225555um_c_b > $o] :
( ~ ! [SY216: sum_su1965225555um_c_b] :
( ( SV39 @ SY216 )
= ( SY215 @ SY216 ) )
| ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SY215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(544,plain,
! [SV40: set_a] :
( ( ! [SY217: set_a] :
( ~ ! [SY218: a] :
( ~ ( member_a @ SY218 @ SV40 )
| ( member_a @ SY218 @ SY217 ) )
| ( ord_less_eq_set_a @ SV40 @ SY217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(545,plain,
! [SV41: set_a] :
( ( ! [SY219: a > $o] :
( ord_less_eq_set_a
@ ( collect_a
@ ^ [SY220: a] :
~ ( ~ ( member_a @ SY220 @ SV41 )
| ~ ( SY219 @ SY220 ) ) )
@ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(546,plain,
! [SV42: a] :
( ( ! [SY221: a] :
( ( ( sum_In811702836um_c_b @ SV42 )
!= ( sum_In811702836um_c_b @ SY221 ) )
| ( SV42 = SY221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(547,plain,
( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [SX0: sum_su1965225555um_c_b] :
~ ! [SX1: a] :
~ ~ ( ( SX0
!= ( sum_In811702836um_c_b @ SX1 ) )
| ~ ( member_a @ SX1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(548,plain,
! [SV43: set_Su111624115um_c_b] :
( ( ! [SY222: set_Su111624115um_c_b,SY223: denota723907260t_unit,SY224: denota723907260t_unit] :
( ~ ( ord_le1404954451um_c_b @ SV43 @ SY222 )
| ~ ( denota896875430_a_c_b @ SY223 @ SY224 @ SY222 )
| ( denota896875430_a_c_b @ SY223 @ SY224 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(549,plain,
! [SV44: a,SV1: a] :
( ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= ( SV1 = SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(550,plain,
! [SV45: a,SV2: a] :
( ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= ( SV2 = SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(551,plain,
! [SV46: set_Su111624115um_c_b,SV3: denota723907260t_unit] :
( ( denota896875430_a_c_b @ SV3 @ SV3 @ SV46 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(552,plain,
! [SV47: a > $o,SV4: a] :
( ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= ( SV47 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(553,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= ( SV48 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(554,plain,
! [SV49: trm_a_b,SV8: trm_a_b] :
( ( ( static_SIGT_a_b @ ( times_a_b @ SV8 @ SV49 ) )
= ( sup_sup_set_a @ ( static_SIGT_a_b @ SV8 ) @ ( static_SIGT_a_b @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(555,plain,
! [SV50: set_a,SV9: a] :
( ( ! [SY225: set_a] :
( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SY225 ) )
= ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SY225 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(556,plain,
! [SV51: set_a] :
( ( ( sup_sup_set_a @ SV51 )
= ( ^ [SY226: set_a] :
( collect_a
@ ( sup_sup_a_o
@ ^ [SY227: a] : ( member_a @ SY227 @ SV51 )
@ ^ [X: a] : ( member_a @ X @ SY226 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(557,plain,
! [SV52: set_Su111624115um_c_b] :
( ( ( sup_su296826759um_c_b @ SV52 )
= ( ^ [SY229: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [SY230: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY230 @ SV52 )
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ SY229 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(558,plain,
! [SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 )
= ( ^ [SY232: set_a] :
( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [X: a] : ( member_a @ X @ SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(559,plain,
! [SV54: set_a] :
( ( ( sup_sup_set_a @ SV54 )
= ( ^ [SY235: set_a] :
( collect_a
@ ^ [SY236: a] :
( ( member_a @ SY236 @ SV54 )
| ( member_a @ SY236 @ SY235 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(560,plain,
! [SV55: set_Su111624115um_c_b] :
( ( ( sup_su296826759um_c_b @ SV55 )
= ( ^ [SY237: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ^ [SY238: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ SY238 @ SV55 )
| ( member973578748um_c_b @ SY238 @ SY237 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(561,plain,
! [SV56: sum_su1965225555um_c_b > $o,SV15: sum_su1965225555um_c_b > $o] :
( ( ( collec1166375742um_c_b
@ ^ [SY239: sum_su1965225555um_c_b] :
( ( SV15 @ SY239 )
| ( SV56 @ SY239 ) ) )
= ( sup_su296826759um_c_b @ ( collec1166375742um_c_b @ SV15 ) @ ( collec1166375742um_c_b @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(562,plain,
! [SV57: set_a,SV16: set_a] :
( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 ) )
= ( ^ [SY242: a] : ( member_a @ SY242 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(563,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= ( ord_less_eq_set_a @ SV17 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(564,plain,
! [SV59: a] :
( ( ( top_top_a_o @ SV59 )
= ( member_a @ SV59 @ top_top_set_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(565,plain,
! [SV21: $o] :
( ( ( SV21 = $true )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(566,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(567,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(568,plain,
! [SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 )
= ( ^ [SY245: set_a] :
! [SY246: a] :
( ~ ( member_a @ SY246 @ SV60 )
| ( member_a @ SY246 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(569,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= ( ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(570,plain,
! [SV62: sum_su1965225555um_c_b > $o,SV24: set_Su111624115um_c_b] :
( ( ord_le1404954451um_c_b
@ ( collec1166375742um_c_b
@ ^ [SY248: sum_su1965225555um_c_b] :
~ ( ~ ( member973578748um_c_b @ SY248 @ SV24 )
| ~ ( SV62 @ SY248 ) ) )
@ SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(571,plain,
! [SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 )
= ( ^ [SY249: set_a] :
! [SY250: a] :
( ~ ( member_a @ SY250 @ SV63 )
| ( member_a @ SY250 @ SY249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(572,plain,
! [SV64: denota723907260t_unit,SV26: denota723907260t_unit] :
( ( ! [SY251: set_Su111624115um_c_b] :
( ~ ( denota896875430_a_c_b @ SV26 @ SV64 @ SY251 )
| ( denota896875430_a_c_b @ SV64 @ SV26 @ SY251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(573,plain,
! [SV65: set_a,SV27: set_a] :
( ( ! [SY252: a] :
( ~ ( ord_less_eq_set_a @ SV27 @ SV65 )
| ~ ( member_a @ SY252 @ SV27 )
| ( member_a @ SY252 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(574,plain,
! [SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ! [SY253: sum_su1965225555um_c_b > $o] :
( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY254: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY254 )
| ~ ( SY253 @ SY254 ) ) ) )
= ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SY253 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(575,plain,
! [SV67: set_a,SV29: a] :
( ( ! [SY255: set_a] :
( ~ ( ~ ~ ( member_a @ SV29 @ SV67 )
| ( member_a @ SV29 @ SY255 ) )
| ( member_a @ SV29 @ ( sup_sup_set_a @ SY255 @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(576,plain,
! [SV68: set_a,SV30: a] :
( ( ! [SY256: set_a] :
( ~ ( member_a @ SV30 @ SV68 )
| ( member_a @ SV30 @ ( sup_sup_set_a @ SY256 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(577,plain,
! [SV69: denota723907260t_unit,SV31: denota723907260t_unit] :
( ( ! [SY257: set_Su111624115um_c_b,SY258: a] :
( ~ ( denota896875430_a_c_b @ SV31 @ SV69 @ SY257 )
| ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SY258 ) @ SY257 )
| ( ( denota102976244t_unit @ SV31 @ SY258 )
= ( denota102976244t_unit @ SV69 @ SY258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(578,plain,
! [SV70: denota723907260t_unit,SV32: denota723907260t_unit] :
( ( ~ ( denota896875430_a_c_b @ SV32 @ SV70
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
| ( denota896875430_a_c_b @ SV32 @ SV70
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(579,plain,
! [SV71: sum_su1965225555um_c_b > $o,SV33: sum_su1965225555um_c_b > $o] :
( ( ~ ! [SY263: sum_su1965225555um_c_b] :
( ~ ( SV33 @ SY263 )
| ( SV71 @ SY263 ) )
| ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(580,plain,
! [SV72: set_a,SV34: a] :
( ( ! [SY264: set_a] :
( ~ ( member_a @ SV34 @ SV72 )
| ( member_a @ SV34 @ ( sup_sup_set_a @ SV72 @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(581,plain,
( ( ~ ( member_a @ sK1_SX0 @ top_top_set_a ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[538]) ).
thf(582,plain,
! [SV73: denota723907260t_unit,SV35: denota723907260t_unit] :
( ( ~ ( denota896875430_a_c_b @ SV35 @ SV73
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
| ( denota896875430_a_c_b @ SV35 @ SV73
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(583,plain,
! [SV74: set_a,SV36: a] :
( ( ! [SY269: set_a] :
( ~ ( member_a @ SV36 @ ( sup_sup_set_a @ SV74 @ SY269 ) )
| ~ ~ ( member_a @ SV36 @ SV74 )
| ( member_a @ SV36 @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(584,plain,
! [SV75: set_a,SV37: set_a] :
( ( ! [SY270: a] :
( ~ ( ord_less_eq_set_a @ SV37 @ SV75 )
| ~ ( member_a @ SY270 @ SV37 )
| ( member_a @ SY270 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(585,plain,
! [SV38: set_a] :
( ( ( ~ ! [SY214: a] : ( member_a @ SY214 @ SV38 ) )
= $true )
| ( ( top_top_set_a = SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(586,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ~ ! [SY271: sum_su1965225555um_c_b] :
( ( SV39 @ SY271 )
= ( SV76 @ SY271 ) )
| ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(587,plain,
! [SV77: set_a,SV40: set_a] :
( ( ~ ! [SY272: a] :
( ~ ( member_a @ SY272 @ SV40 )
| ( member_a @ SY272 @ SV77 ) )
| ( ord_less_eq_set_a @ SV40 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(588,plain,
! [SV78: a > $o,SV41: set_a] :
( ( ord_less_eq_set_a
@ ( collect_a
@ ^ [SY273: a] :
~ ( ~ ( member_a @ SY273 @ SV41 )
| ~ ( SV78 @ SY273 ) ) )
@ SV41 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(589,plain,
! [SV79: a,SV42: a] :
( ( ( ( sum_In811702836um_c_b @ SV42 )
!= ( sum_In811702836um_c_b @ SV79 ) )
| ( SV42 = SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(590,plain,
! [SV80: set_Su111624115um_c_b,SV43: set_Su111624115um_c_b] :
( ( ! [SY274: denota723907260t_unit,SY275: denota723907260t_unit] :
( ~ ( ord_le1404954451um_c_b @ SV43 @ SV80 )
| ~ ( denota896875430_a_c_b @ SY274 @ SY275 @ SV80 )
| ( denota896875430_a_c_b @ SY274 @ SY275 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(591,plain,
! [SV44: a,SV1: a] :
( ( ~ ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 = SV44 ) )
| ~ ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 != SV44 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(592,plain,
! [SV44: a,SV1: a] :
( ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= ( SV1 = SV44 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(593,plain,
! [SV45: a,SV2: a] :
( ( ~ ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 = SV45 ) )
| ~ ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 != SV45 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(594,plain,
! [SV45: a,SV2: a] :
( ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= ( SV2 = SV45 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(595,plain,
! [SV47: a > $o,SV4: a] :
( ( ~ ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ( SV47 @ SV4 ) )
| ~ ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ~ ( SV47 @ SV4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[552]) ).
thf(596,plain,
! [SV47: a > $o,SV4: a] :
( ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= ( SV47 @ SV4 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[552]) ).
thf(597,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ~ ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ( SV48 @ SV5 ) )
| ~ ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ~ ( SV48 @ SV5 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(598,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= ( SV48 @ SV5 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(599,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(600,plain,
! [SV51: set_a] :
( ( ! [SV82: set_a] :
( ( sup_sup_set_a @ SV51 @ SV82 )
= ( collect_a
@ ( sup_sup_a_o
@ ^ [SY227: a] : ( member_a @ SY227 @ SV51 )
@ ^ [SY277: a] : ( member_a @ SY277 @ SV82 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(601,plain,
! [SV51: set_a] :
( ( ( sup_sup_set_a @ SV51 )
= ( ^ [SY226: set_a] :
( collect_a
@ ( sup_sup_a_o
@ ^ [SY227: a] : ( member_a @ SY227 @ SV51 )
@ ^ [X: a] : ( member_a @ X @ SY226 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(602,plain,
! [SV52: set_Su111624115um_c_b] :
( ( ! [SV83: set_Su111624115um_c_b] :
( ( sup_su296826759um_c_b @ SV52 @ SV83 )
= ( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [SY230: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY230 @ SV52 )
@ ^ [SY279: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY279 @ SV83 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(603,plain,
! [SV52: set_Su111624115um_c_b] :
( ( ( sup_su296826759um_c_b @ SV52 )
= ( ^ [SY229: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [SY230: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY230 @ SV52 )
@ ^ [X: sum_su1965225555um_c_b] : ( member973578748um_c_b @ X @ SY229 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(604,plain,
! [SV53: set_a] :
( ( ! [SV84: set_a] :
( ( ord_less_eq_set_a @ SV53 @ SV84 )
= ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY281: a] : ( member_a @ SY281 @ SV84 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[558]) ).
thf(605,plain,
! [SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 )
= ( ^ [SY232: set_a] :
( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [X: a] : ( member_a @ X @ SY232 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[558]) ).
thf(606,plain,
! [SV54: set_a] :
( ( ! [SV85: set_a] :
( ( sup_sup_set_a @ SV54 @ SV85 )
= ( collect_a
@ ^ [SY282: a] :
( ( member_a @ SY282 @ SV54 )
| ( member_a @ SY282 @ SV85 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(607,plain,
! [SV54: set_a] :
( ( ( sup_sup_set_a @ SV54 )
= ( ^ [SY235: set_a] :
( collect_a
@ ^ [SY236: a] :
( ( member_a @ SY236 @ SV54 )
| ( member_a @ SY236 @ SY235 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(608,plain,
! [SV55: set_Su111624115um_c_b] :
( ( ! [SV86: set_Su111624115um_c_b] :
( ( sup_su296826759um_c_b @ SV55 @ SV86 )
= ( collec1166375742um_c_b
@ ^ [SY283: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ SY283 @ SV55 )
| ( member973578748um_c_b @ SY283 @ SV86 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[560]) ).
thf(609,plain,
! [SV55: set_Su111624115um_c_b] :
( ( ( sup_su296826759um_c_b @ SV55 )
= ( ^ [SY237: set_Su111624115um_c_b] :
( collec1166375742um_c_b
@ ^ [SY238: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ SY238 @ SV55 )
| ( member973578748um_c_b @ SY238 @ SY237 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[560]) ).
thf(610,plain,
! [SV57: set_a,SV16: set_a] :
( ( ! [SV87: a] :
( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV87 )
= ( member_a @ SV87 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(611,plain,
! [SV57: set_a,SV16: set_a] :
( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 ) )
= ( ^ [SY242: a] : ( member_a @ SY242 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(612,plain,
! [SV58: set_a,SV17: set_a] :
( ( ~ ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ( ord_less_eq_set_a @ SV17 @ SV58 ) )
| ~ ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(613,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= ( ord_less_eq_set_a @ SV17 @ SV58 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[563]) ).
thf(614,plain,
! [SV59: a] :
( ( ~ ( ( top_top_a_o @ SV59 )
| ( member_a @ SV59 @ top_top_set_a ) )
| ~ ( ~ ( top_top_a_o @ SV59 )
| ~ ( member_a @ SV59 @ top_top_set_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(615,plain,
! [SV59: a] :
( ( ( top_top_a_o @ SV59 )
= ( member_a @ SV59 @ top_top_set_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(616,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $true )
| ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(617,plain,
! [SV21: $o] :
( ( ( SV21 = $true )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(618,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[566]) ).
thf(619,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[566]) ).
thf(620,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(621,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(622,plain,
! [SV60: set_a] :
( ( ! [SV88: set_a] :
( ( ord_less_eq_set_a @ SV60 @ SV88 )
= ( ! [SY286: a] :
( ~ ( member_a @ SY286 @ SV60 )
| ( member_a @ SY286 @ SV88 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(623,plain,
! [SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 )
= ( ^ [SY245: set_a] :
! [SY246: a] :
( ~ ( member_a @ SY246 @ SV60 )
| ( member_a @ SY246 @ SY245 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(624,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ~ ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
| ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[569]) ).
thf(625,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= ( ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[569]) ).
thf(626,plain,
! [SV63: set_a] :
( ( ! [SV89: set_a] :
( ( ord_less_eq_set_a @ SV63 @ SV89 )
= ( ! [SY287: a] :
( ~ ( member_a @ SY287 @ SV63 )
| ( member_a @ SY287 @ SV89 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(627,plain,
! [SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 )
= ( ^ [SY249: set_a] :
! [SY250: a] :
( ~ ( member_a @ SY250 @ SV63 )
| ( member_a @ SY250 @ SY249 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(628,plain,
! [SV90: set_Su111624115um_c_b,SV64: denota723907260t_unit,SV26: denota723907260t_unit] :
( ( ~ ( denota896875430_a_c_b @ SV26 @ SV64 @ SV90 )
| ( denota896875430_a_c_b @ SV64 @ SV26 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(629,plain,
! [SV91: a,SV65: set_a,SV27: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV27 @ SV65 )
| ~ ( member_a @ SV91 @ SV27 )
| ( member_a @ SV91 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(630,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(631,plain,
! [SV93: set_a,SV67: set_a,SV29: a] :
( ( ~ ( ~ ~ ( member_a @ SV29 @ SV67 )
| ( member_a @ SV29 @ SV93 ) )
| ( member_a @ SV29 @ ( sup_sup_set_a @ SV93 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(632,plain,
! [SV94: set_a,SV68: set_a,SV30: a] :
( ( ~ ( member_a @ SV30 @ SV68 )
| ( member_a @ SV30 @ ( sup_sup_set_a @ SV94 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(633,plain,
! [SV95: set_Su111624115um_c_b,SV69: denota723907260t_unit,SV31: denota723907260t_unit] :
( ( ! [SY289: a] :
( ~ ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
| ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SY289 ) @ SV95 )
| ( ( denota102976244t_unit @ SV31 @ SY289 )
= ( denota102976244t_unit @ SV69 @ SY289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(634,plain,
! [SV70: denota723907260t_unit,SV32: denota723907260t_unit] :
( ( ( ~ ( denota896875430_a_c_b @ SV32 @ SV70
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) )
= $true )
| ( ( denota896875430_a_c_b @ SV32 @ SV70
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(635,plain,
! [SV71: sum_su1965225555um_c_b > $o,SV33: sum_su1965225555um_c_b > $o] :
( ( ( ~ ! [SY263: sum_su1965225555um_c_b] :
( ~ ( SV33 @ SY263 )
| ( SV71 @ SY263 ) ) )
= $true )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(636,plain,
! [SV96: set_a,SV72: set_a,SV34: a] :
( ( ~ ( member_a @ SV34 @ SV72 )
| ( member_a @ SV34 @ ( sup_sup_set_a @ SV72 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(637,plain,
( ( member_a @ sK1_SX0 @ top_top_set_a )
= $true ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(638,plain,
! [SV73: denota723907260t_unit,SV35: denota723907260t_unit] :
( ( ( ~ ( denota896875430_a_c_b @ SV35 @ SV73
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) )
= $true )
| ( ( denota896875430_a_c_b @ SV35 @ SV73
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(639,plain,
! [SV97: set_a,SV74: set_a,SV36: a] :
( ( ~ ( member_a @ SV36 @ ( sup_sup_set_a @ SV74 @ SV97 ) )
| ~ ~ ( member_a @ SV36 @ SV74 )
| ( member_a @ SV36 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(640,plain,
! [SV98: a,SV75: set_a,SV37: set_a] :
( ( ~ ( ord_less_eq_set_a @ SV37 @ SV75 )
| ~ ( member_a @ SV98 @ SV37 )
| ( member_a @ SV98 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(641,plain,
! [SV38: set_a] :
( ( ( ! [SY214: a] : ( member_a @ SY214 @ SV38 ) )
= $false )
| ( ( top_top_set_a = SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(642,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ~ ! [SY271: sum_su1965225555um_c_b] :
( ( SV39 @ SY271 )
= ( SV76 @ SY271 ) ) )
= $true )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(643,plain,
! [SV77: set_a,SV40: set_a] :
( ( ( ~ ! [SY272: a] :
( ~ ( member_a @ SY272 @ SV40 )
| ( member_a @ SY272 @ SV77 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV40 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(644,plain,
! [SV79: a,SV42: a] :
( ( ( ( sum_In811702836um_c_b @ SV42 )
!= ( sum_In811702836um_c_b @ SV79 ) )
= $true )
| ( ( SV42 = SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(645,plain,
! [SV99: denota723907260t_unit,SV80: set_Su111624115um_c_b,SV43: set_Su111624115um_c_b] :
( ( ! [SY290: denota723907260t_unit] :
( ~ ( ord_le1404954451um_c_b @ SV43 @ SV80 )
| ~ ( denota896875430_a_c_b @ SV99 @ SY290 @ SV80 )
| ( denota896875430_a_c_b @ SV99 @ SY290 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(646,plain,
! [SV44: a,SV1: a] :
( ( ( ~ ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 = SV44 ) ) )
= $true )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 != SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(647,plain,
! [SV45: a,SV2: a] :
( ( ( ~ ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 = SV45 ) ) )
= $true )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 != SV45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(648,plain,
! [SV47: a > $o,SV4: a] :
( ( ( ~ ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ( SV47 @ SV4 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ~ ( SV47 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(649,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( ~ ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ( SV48 @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ~ ( SV48 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(650,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ~ ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) )
| ~ ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[599]) ).
thf(651,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[599]) ).
thf(652,plain,
! [SV100: set_a,SV51: set_a] :
( ( ( sup_sup_set_a @ SV51 @ SV100 )
= ( collect_a
@ ( sup_sup_a_o
@ ^ [SY227: a] : ( member_a @ SY227 @ SV51 )
@ ^ [SY292: a] : ( member_a @ SY292 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(653,plain,
! [SV101: set_Su111624115um_c_b,SV52: set_Su111624115um_c_b] :
( ( ( sup_su296826759um_c_b @ SV52 @ SV101 )
= ( collec1166375742um_c_b
@ ( sup_su1211201046_c_b_o
@ ^ [SY230: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY230 @ SV52 )
@ ^ [SY294: sum_su1965225555um_c_b] : ( member973578748um_c_b @ SY294 @ SV101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(654,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(655,plain,
! [SV103: set_a,SV54: set_a] :
( ( ( sup_sup_set_a @ SV54 @ SV103 )
= ( collect_a
@ ^ [SY297: a] :
( ( member_a @ SY297 @ SV54 )
| ( member_a @ SY297 @ SV103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(656,plain,
! [SV104: set_Su111624115um_c_b,SV55: set_Su111624115um_c_b] :
( ( ( sup_su296826759um_c_b @ SV55 @ SV104 )
= ( collec1166375742um_c_b
@ ^ [SY298: sum_su1965225555um_c_b] :
( ( member973578748um_c_b @ SY298 @ SV55 )
| ( member973578748um_c_b @ SY298 @ SV104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(657,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(658,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ~ ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ( ord_less_eq_set_a @ SV17 @ SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(659,plain,
! [SV59: a] :
( ( ( ~ ( ( top_top_a_o @ SV59 )
| ( member_a @ SV59 @ top_top_set_a ) ) )
= $true )
| ( ( ~ ( ~ ( top_top_a_o @ SV59 )
| ~ ( member_a @ SV59 @ top_top_set_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(660,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $true ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(661,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(662,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(663,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(664,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[619]) ).
thf(665,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[619]) ).
thf(666,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(667,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(668,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(669,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= ( ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(670,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(671,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= ( ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(672,plain,
! [SV90: set_Su111624115um_c_b,SV64: denota723907260t_unit,SV26: denota723907260t_unit] :
( ( ( ~ ( denota896875430_a_c_b @ SV26 @ SV64 @ SV90 ) )
= $true )
| ( ( denota896875430_a_c_b @ SV64 @ SV26 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(673,plain,
! [SV91: a,SV65: set_a,SV27: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV27 @ SV65 ) )
= $true )
| ( ( ~ ( member_a @ SV91 @ SV27 )
| ( member_a @ SV91 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(674,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ~ ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
| ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[630]) ).
thf(675,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[630]) ).
thf(676,plain,
! [SV93: set_a,SV67: set_a,SV29: a] :
( ( ( ~ ( ~ ~ ( member_a @ SV29 @ SV67 )
| ( member_a @ SV29 @ SV93 ) ) )
= $true )
| ( ( member_a @ SV29 @ ( sup_sup_set_a @ SV93 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(677,plain,
! [SV94: set_a,SV68: set_a,SV30: a] :
( ( ( ~ ( member_a @ SV30 @ SV68 ) )
= $true )
| ( ( member_a @ SV30 @ ( sup_sup_set_a @ SV94 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(678,plain,
! [SV108: a,SV95: set_Su111624115um_c_b,SV69: denota723907260t_unit,SV31: denota723907260t_unit] :
( ( ~ ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
| ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 )
| ( ( denota102976244t_unit @ SV31 @ SV108 )
= ( denota102976244t_unit @ SV69 @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(679,plain,
! [SV70: denota723907260t_unit,SV32: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ SV32 @ SV70
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $false )
| ( ( denota896875430_a_c_b @ SV32 @ SV70
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(680,plain,
! [SV71: sum_su1965225555um_c_b > $o,SV33: sum_su1965225555um_c_b > $o] :
( ( ( ! [SY263: sum_su1965225555um_c_b] :
( ~ ( SV33 @ SY263 )
| ( SV71 @ SY263 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(681,plain,
! [SV96: set_a,SV72: set_a,SV34: a] :
( ( ( ~ ( member_a @ SV34 @ SV72 ) )
= $true )
| ( ( member_a @ SV34 @ ( sup_sup_set_a @ SV72 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(682,plain,
! [SV73: denota723907260t_unit,SV35: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ SV35 @ SV73
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
= $false )
| ( ( denota896875430_a_c_b @ SV35 @ SV73
@ ( collec1166375742um_c_b
@ ^ [SX2: sum_su1965225555um_c_b] :
~ ! [SX3: a] :
~ ~ ( ( SX2
!= ( sum_In811702836um_c_b @ SX3 ) )
| ~ ( member_a @ SX3 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(683,plain,
! [SV97: set_a,SV74: set_a,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ ( sup_sup_set_a @ SV74 @ SV97 ) ) )
= $true )
| ( ( ~ ~ ( member_a @ SV36 @ SV74 )
| ( member_a @ SV36 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(684,plain,
! [SV98: a,SV75: set_a,SV37: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV37 @ SV75 ) )
= $true )
| ( ( ~ ( member_a @ SV98 @ SV37 )
| ( member_a @ SV98 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(685,plain,
! [SV38: set_a] :
( ( ( member_a @ ( sK2_SY214 @ SV38 ) @ SV38 )
= $false )
| ( ( top_top_set_a = SV38 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[641]) ).
thf(686,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ! [SY271: sum_su1965225555um_c_b] :
( ( SV39 @ SY271 )
= ( SV76 @ SY271 ) ) )
= $false )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(687,plain,
! [SV77: set_a,SV40: set_a] :
( ( ( ! [SY272: a] :
( ~ ( member_a @ SY272 @ SV40 )
| ( member_a @ SY272 @ SV77 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV40 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(688,plain,
! [SV79: a,SV42: a] :
( ( ( ( sum_In811702836um_c_b @ SV42 )
= ( sum_In811702836um_c_b @ SV79 ) )
= $false )
| ( ( SV42 = SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(689,plain,
! [SV109: denota723907260t_unit,SV99: denota723907260t_unit,SV80: set_Su111624115um_c_b,SV43: set_Su111624115um_c_b] :
( ( ~ ( ord_le1404954451um_c_b @ SV43 @ SV80 )
| ~ ( denota896875430_a_c_b @ SV99 @ SV109 @ SV80 )
| ( denota896875430_a_c_b @ SV99 @ SV109 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(690,plain,
! [SV44: a,SV1: a] :
( ( ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 = SV44 ) )
= $false )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 != SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(691,plain,
! [SV45: a,SV2: a] :
( ( ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 = SV45 ) )
= $false )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 != SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(692,plain,
! [SV47: a > $o,SV4: a] :
( ( ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ( SV47 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ~ ( SV47 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(693,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ( SV48 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ~ ( SV48 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(694,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(695,plain,
! [SV102: set_a,SV53: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV53 @ SV102 )
| ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 )
| ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(696,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(697,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ~ ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
| ~ ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[657]) ).
thf(698,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[657]) ).
thf(699,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ( ord_less_eq_set_a @ SV17 @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(700,plain,
! [SV59: a] :
( ( ( ( top_top_a_o @ SV59 )
| ( member_a @ SV59 @ top_top_set_a ) )
= $false )
| ( ( ~ ( ~ ( top_top_a_o @ SV59 )
| ~ ( member_a @ SV59 @ top_top_set_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(701,plain,
! [SV21: $o] :
( ( ( SV21
| $true )
= $false )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(702,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(703,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(704,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(705,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(706,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(707,plain,
! [SV106: set_a,SV60: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV60 @ SV106 )
| ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(708,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= ( ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(709,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(710,plain,
! [SV107: set_a,SV63: set_a] :
( ( ~ ( ( ord_less_eq_set_a @ SV63 @ SV107 )
| ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[671]) ).
thf(711,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= ( ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[671]) ).
thf(712,plain,
! [SV90: set_Su111624115um_c_b,SV64: denota723907260t_unit,SV26: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ SV26 @ SV64 @ SV90 )
= $false )
| ( ( denota896875430_a_c_b @ SV64 @ SV26 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(713,plain,
! [SV91: a,SV65: set_a,SV27: set_a] :
( ( ( ord_less_eq_set_a @ SV27 @ SV65 )
= $false )
| ( ( ~ ( member_a @ SV91 @ SV27 )
| ( member_a @ SV91 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(714,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(715,plain,
! [SV93: set_a,SV67: set_a,SV29: a] :
( ( ( ~ ~ ( member_a @ SV29 @ SV67 )
| ( member_a @ SV29 @ SV93 ) )
= $false )
| ( ( member_a @ SV29 @ ( sup_sup_set_a @ SV93 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(716,plain,
! [SV94: set_a,SV68: set_a,SV30: a] :
( ( ( member_a @ SV30 @ SV68 )
= $false )
| ( ( member_a @ SV30 @ ( sup_sup_set_a @ SV94 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(717,plain,
! [SV108: a,SV95: set_Su111624115um_c_b,SV69: denota723907260t_unit,SV31: denota723907260t_unit] :
( ( ( ~ ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 ) )
= $true )
| ( ( ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 )
| ( ( denota102976244t_unit @ SV31 @ SV108 )
= ( denota102976244t_unit @ SV69 @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(718,plain,
! [SV71: sum_su1965225555um_c_b > $o,SV33: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV33 @ ( sK3_SY263 @ SV71 @ SV33 ) )
| ( SV71 @ ( sK3_SY263 @ SV71 @ SV33 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SV71 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[680]) ).
thf(719,plain,
! [SV96: set_a,SV72: set_a,SV34: a] :
( ( ( member_a @ SV34 @ SV72 )
= $false )
| ( ( member_a @ SV34 @ ( sup_sup_set_a @ SV72 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(720,plain,
! [SV97: set_a,SV74: set_a,SV36: a] :
( ( ( member_a @ SV36 @ ( sup_sup_set_a @ SV74 @ SV97 ) )
= $false )
| ( ( ~ ~ ( member_a @ SV36 @ SV74 )
| ( member_a @ SV36 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(721,plain,
! [SV98: a,SV75: set_a,SV37: set_a] :
( ( ( ord_less_eq_set_a @ SV37 @ SV75 )
= $false )
| ( ( ~ ( member_a @ SV98 @ SV37 )
| ( member_a @ SV98 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(722,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
= ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
= $false )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[686]) ).
thf(723,plain,
! [SV40: set_a,SV77: set_a] :
( ( ( ~ ( member_a @ ( sK5_SY272 @ SV77 @ SV40 ) @ SV40 )
| ( member_a @ ( sK5_SY272 @ SV77 @ SV40 ) @ SV77 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV40 @ SV77 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[687]) ).
thf(724,plain,
! [SV109: denota723907260t_unit,SV99: denota723907260t_unit,SV80: set_Su111624115um_c_b,SV43: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV43 @ SV80 ) )
= $true )
| ( ( ~ ( denota896875430_a_c_b @ SV99 @ SV109 @ SV80 )
| ( denota896875430_a_c_b @ SV99 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(725,plain,
! [SV44: a,SV1: a] :
( ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $false )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 != SV44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(726,plain,
! [SV44: a,SV1: a] :
( ( ( SV1 = SV44 )
= $false )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 != SV44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(727,plain,
! [SV45: a,SV2: a] :
( ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $false )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 != SV45 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(728,plain,
! [SV45: a,SV2: a] :
( ( ( SV2 = SV45 )
= $false )
| ( ( ~ ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 != SV45 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(729,plain,
! [SV47: a > $o,SV4: a] :
( ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ~ ( SV47 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(730,plain,
! [SV4: a,SV47: a > $o] :
( ( ( SV47 @ SV4 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ~ ( SV47 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(731,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $false )
| ( ( ~ ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ~ ( SV48 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(732,plain,
! [SV5: sum_su1965225555um_c_b,SV48: sum_su1965225555um_c_b > $o] :
( ( ( SV48 @ SV5 )
= $false )
| ( ( ~ ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ~ ( SV48 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(733,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(734,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV53 @ SV102 )
| ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 )
| ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(735,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( ~ ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(736,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(737,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(738,plain,
! [SV59: a] :
( ( ( top_top_a_o @ SV59 )
= $false )
| ( ( ~ ( ~ ( top_top_a_o @ SV59 )
| ~ ( member_a @ SV59 @ top_top_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(739,plain,
! [SV59: a] :
( ( ( member_a @ SV59 @ top_top_set_a )
= $false )
| ( ( ~ ( ~ ( top_top_a_o @ SV59 )
| ~ ( member_a @ SV59 @ top_top_set_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(740,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(741,plain,
! [SV21: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV21
| ~ $true ) )
= $true )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(742,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(743,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(744,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(745,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(746,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(747,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(748,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(749,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV60 @ SV106 )
| ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(750,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(751,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(752,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ( ( ord_less_eq_set_a @ SV63 @ SV107 )
| ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(753,plain,
! [SV65: set_a,SV27: set_a,SV91: a] :
( ( ( ~ ( member_a @ SV91 @ SV27 ) )
= $true )
| ( ( member_a @ SV91 @ SV65 )
= $true )
| ( ( ord_less_eq_set_a @ SV27 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(754,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(755,plain,
! [SV93: set_a,SV67: set_a,SV29: a] :
( ( ( ~ ~ ( member_a @ SV29 @ SV67 ) )
= $false )
| ( ( member_a @ SV29 @ ( sup_sup_set_a @ SV93 @ SV67 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(756,plain,
! [SV67: set_a,SV93: set_a,SV29: a] :
( ( ( member_a @ SV29 @ SV93 )
= $false )
| ( ( member_a @ SV29 @ ( sup_sup_set_a @ SV93 @ SV67 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(757,plain,
! [SV108: a,SV95: set_Su111624115um_c_b,SV69: denota723907260t_unit,SV31: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
= $false )
| ( ( ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 )
| ( ( denota102976244t_unit @ SV31 @ SV108 )
= ( denota102976244t_unit @ SV69 @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(758,plain,
! [SV71: sum_su1965225555um_c_b > $o,SV33: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV33 @ ( sK3_SY263 @ SV71 @ SV33 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(759,plain,
! [SV33: sum_su1965225555um_c_b > $o,SV71: sum_su1965225555um_c_b > $o] :
( ( ( SV71 @ ( sK3_SY263 @ SV71 @ SV33 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(760,plain,
! [SV97: set_a,SV74: set_a,SV36: a] :
( ( ( ~ ~ ( member_a @ SV36 @ SV74 ) )
= $true )
| ( ( member_a @ SV36 @ SV97 )
= $true )
| ( ( member_a @ SV36 @ ( sup_sup_set_a @ SV74 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(761,plain,
! [SV75: set_a,SV37: set_a,SV98: a] :
( ( ( ~ ( member_a @ SV98 @ SV37 ) )
= $true )
| ( ( member_a @ SV98 @ SV75 )
= $true )
| ( ( ord_less_eq_set_a @ SV37 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(762,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
| ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
| ~ ( ~ ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
| ~ ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) ) )
= $false )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[722]) ).
thf(763,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
= ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
= $false )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[722]) ).
thf(764,plain,
! [SV40: set_a,SV77: set_a] :
( ( ( ~ ( member_a @ ( sK5_SY272 @ SV77 @ SV40 ) @ SV40 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV40 @ SV77 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(765,plain,
! [SV40: set_a,SV77: set_a] :
( ( ( member_a @ ( sK5_SY272 @ SV77 @ SV40 ) @ SV77 )
= $false )
| ( ( ord_less_eq_set_a @ SV40 @ SV77 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(766,plain,
! [SV109: denota723907260t_unit,SV99: denota723907260t_unit,SV80: set_Su111624115um_c_b,SV43: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV43 @ SV80 )
= $false )
| ( ( ~ ( denota896875430_a_c_b @ SV99 @ SV109 @ SV80 )
| ( denota896875430_a_c_b @ SV99 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(767,plain,
! [SV44: a,SV1: a] :
( ( ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 != SV44 ) )
= $false )
| ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(768,plain,
! [SV44: a,SV1: a] :
( ( ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
| ( SV1 != SV44 ) )
= $false )
| ( ( SV1 = SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(769,plain,
! [SV45: a,SV2: a] :
( ( ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 != SV45 ) )
= $false )
| ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(770,plain,
! [SV45: a,SV2: a] :
( ( ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
| ( SV2 != SV45 ) )
= $false )
| ( ( SV2 = SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(771,plain,
! [SV47: a > $o,SV4: a] :
( ( ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ~ ( SV47 @ SV4 ) )
= $false )
| ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(772,plain,
! [SV47: a > $o,SV4: a] :
( ( ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) )
| ~ ( SV47 @ SV4 ) )
= $false )
| ( ( SV47 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(773,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ~ ( SV48 @ SV5 ) )
= $false )
| ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(774,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
| ~ ( SV48 @ SV5 ) )
= $false )
| ( ( SV48 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(775,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(776,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(777,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ( ord_less_eq_set_a @ SV53 @ SV102 )
| ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 )
| ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(778,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
= $false )
| ( ( ~ ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(779,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) )
= $false )
| ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(780,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
| ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(781,plain,
! [SV59: a] :
( ( ( ~ ( top_top_a_o @ SV59 )
| ~ ( member_a @ SV59 @ top_top_set_a ) )
= $false )
| ( ( top_top_a_o @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(782,plain,
! [SV59: a] :
( ( ( ~ ( top_top_a_o @ SV59 )
| ~ ( member_a @ SV59 @ top_top_set_a ) )
= $false )
| ( ( member_a @ SV59 @ top_top_set_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(783,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $true )
= $false )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(784,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(785,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(786,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(787,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(788,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(789,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(790,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(791,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(792,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(793,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(794,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(795,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ( ord_less_eq_set_a @ SV60 @ SV106 )
| ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(796,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(797,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
| ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[751]) ).
thf(798,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ( ord_less_eq_set_a @ SV63 @ SV107 )
| ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(799,plain,
! [SV65: set_a,SV27: set_a,SV91: a] :
( ( ( member_a @ SV91 @ SV27 )
= $false )
| ( ( member_a @ SV91 @ SV65 )
= $true )
| ( ( ord_less_eq_set_a @ SV27 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(800,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(801,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(802,plain,
! [SV93: set_a,SV67: set_a,SV29: a] :
( ( ( ~ ( member_a @ SV29 @ SV67 ) )
= $true )
| ( ( member_a @ SV29 @ ( sup_sup_set_a @ SV93 @ SV67 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(803,plain,
! [SV69: denota723907260t_unit,SV31: denota723907260t_unit,SV95: set_Su111624115um_c_b,SV108: a] :
( ( ( ~ ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 ) )
= $true )
| ( ( ( denota102976244t_unit @ SV31 @ SV108 )
= ( denota102976244t_unit @ SV69 @ SV108 ) )
= $true )
| ( ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(804,plain,
! [SV71: sum_su1965225555um_c_b > $o,SV33: sum_su1965225555um_c_b > $o] :
( ( ( SV33 @ ( sK3_SY263 @ SV71 @ SV33 ) )
= $true )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV33 ) @ ( collec1166375742um_c_b @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(805,plain,
! [SV97: set_a,SV74: set_a,SV36: a] :
( ( ( ~ ( member_a @ SV36 @ SV74 ) )
= $false )
| ( ( member_a @ SV36 @ SV97 )
= $true )
| ( ( member_a @ SV36 @ ( sup_sup_set_a @ SV74 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(806,plain,
! [SV75: set_a,SV37: set_a,SV98: a] :
( ( ( member_a @ SV98 @ SV37 )
= $false )
| ( ( member_a @ SV98 @ SV75 )
= $true )
| ( ( ord_less_eq_set_a @ SV37 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(807,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
| ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) ) )
= $false )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(808,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ~ ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
| ~ ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) ) )
= $false )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(809,plain,
! [SV40: set_a,SV77: set_a] :
( ( ( member_a @ ( sK5_SY272 @ SV77 @ SV40 ) @ SV40 )
= $true )
| ( ( ord_less_eq_set_a @ SV40 @ SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(810,plain,
! [SV43: set_Su111624115um_c_b,SV80: set_Su111624115um_c_b,SV109: denota723907260t_unit,SV99: denota723907260t_unit] :
( ( ( ~ ( denota896875430_a_c_b @ SV99 @ SV109 @ SV80 ) )
= $true )
| ( ( denota896875430_a_c_b @ SV99 @ SV109 @ SV43 )
= $true )
| ( ( ord_le1404954451um_c_b @ SV43 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(811,plain,
! [SV44: a,SV1: a] :
( ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
= $false )
| ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(812,plain,
! [SV44: a,SV1: a] :
( ( ( SV1 != SV44 )
= $false )
| ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(813,plain,
! [SV44: a,SV1: a] :
( ( ( ( sum_In811702836um_c_b @ SV1 )
!= ( sum_In811702836um_c_b @ SV44 ) )
= $false )
| ( ( SV1 = SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(814,plain,
! [SV44: a,SV1: a] :
( ( ( SV1 != SV44 )
= $false )
| ( ( SV1 = SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(815,plain,
! [SV45: a,SV2: a] :
( ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
= $false )
| ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(816,plain,
! [SV45: a,SV2: a] :
( ( ( SV2 != SV45 )
= $false )
| ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(817,plain,
! [SV45: a,SV2: a] :
( ( ( ( sum_In811702836um_c_b @ SV2 )
!= ( sum_In811702836um_c_b @ SV45 ) )
= $false )
| ( ( SV2 = SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(818,plain,
! [SV45: a,SV2: a] :
( ( ( SV2 != SV45 )
= $false )
| ( ( SV2 = SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(819,plain,
! [SV47: a > $o,SV4: a] :
( ( ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) ) )
= $false )
| ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(820,plain,
! [SV4: a,SV47: a > $o] :
( ( ( ~ ( SV47 @ SV4 ) )
= $false )
| ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(821,plain,
! [SV47: a > $o,SV4: a] :
( ( ( ~ ( member_a @ SV4 @ ( collect_a @ SV47 ) ) )
= $false )
| ( ( SV47 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(822,plain,
! [SV4: a,SV47: a > $o] :
( ( ( ~ ( SV47 @ SV4 ) )
= $false )
| ( ( SV47 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(823,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) ) )
= $false )
| ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(824,plain,
! [SV5: sum_su1965225555um_c_b,SV48: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV48 @ SV5 ) )
= $false )
| ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(825,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( ~ ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) ) )
= $false )
| ( ( SV48 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(826,plain,
! [SV5: sum_su1965225555um_c_b,SV48: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV48 @ SV5 ) )
= $false )
| ( ( SV48 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(827,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(828,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ SV50 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(829,plain,
! [SV50: set_a,SV81: set_a,SV9: a] :
( ( ( member_a @ SV9 @ SV81 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(830,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 )
| ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(831,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 )
| ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(832,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $false )
| ( ( ~ ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(833,plain,
! [SV57: set_a,SV16: set_a,SV105: a] :
( ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $false )
| ( ( ~ ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(834,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) ) )
= $false )
| ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(835,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) )
= $false )
| ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(836,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(837,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV17 @ SV58 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(838,plain,
! [SV59: a] :
( ( ( ~ ( top_top_a_o @ SV59 ) )
= $false )
| ( ( top_top_a_o @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(839,plain,
! [SV59: a] :
( ( ( ~ ( member_a @ SV59 @ top_top_set_a ) )
= $false )
| ( ( top_top_a_o @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(840,plain,
! [SV59: a] :
( ( ( ~ ( top_top_a_o @ SV59 ) )
= $false )
| ( ( member_a @ SV59 @ top_top_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(841,plain,
! [SV59: a] :
( ( ( ~ ( member_a @ SV59 @ top_top_set_a ) )
= $false )
| ( ( member_a @ SV59 @ top_top_set_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(842,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(843,plain,
! [SV21: $o] :
( ( ( ~ $true ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(844,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(845,plain,
! [SV21: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(846,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(847,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(848,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(849,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(850,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(851,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(852,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(853,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(854,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(855,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(856,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[792]) ).
thf(857,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[792]) ).
thf(858,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(859,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(860,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(861,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(862,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(863,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(864,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(865,plain,
! [SV23: sum_su1965225555um_c_b > $o,SV61: sum_su1965225555um_c_b > $o] :
( ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(866,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(867,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(868,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(869,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(870,plain,
! [SV93: set_a,SV67: set_a,SV29: a] :
( ( ( member_a @ SV29 @ SV67 )
= $false )
| ( ( member_a @ SV29 @ ( sup_sup_set_a @ SV93 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(871,plain,
! [SV69: denota723907260t_unit,SV31: denota723907260t_unit,SV95: set_Su111624115um_c_b,SV108: a] :
( ( ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 )
= $false )
| ( ( ( denota102976244t_unit @ SV31 @ SV108 )
= ( denota102976244t_unit @ SV69 @ SV108 ) )
= $true )
| ( ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(872,plain,
! [SV97: set_a,SV74: set_a,SV36: a] :
( ( ( member_a @ SV36 @ SV74 )
= $true )
| ( ( member_a @ SV36 @ SV97 )
= $true )
| ( ( member_a @ SV36 @ ( sup_sup_set_a @ SV74 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(873,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
| ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
= $true )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(874,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
| ~ ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
= $true )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(875,plain,
! [SV43: set_Su111624115um_c_b,SV80: set_Su111624115um_c_b,SV109: denota723907260t_unit,SV99: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ SV99 @ SV109 @ SV80 )
= $false )
| ( ( denota896875430_a_c_b @ SV99 @ SV109 @ SV43 )
= $true )
| ( ( ord_le1404954451um_c_b @ SV43 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(876,plain,
! [SV44: a,SV1: a] :
( ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $true )
| ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(877,plain,
! [SV44: a,SV1: a] :
( ( ( SV1 = SV44 )
= $true )
| ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(878,plain,
! [SV44: a,SV1: a] :
( ( ( ( sum_In811702836um_c_b @ SV1 )
= ( sum_In811702836um_c_b @ SV44 ) )
= $true )
| ( ( SV1 = SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(879,plain,
! [SV44: a,SV1: a] :
( ( ( SV1 = SV44 )
= $true )
| ( ( SV1 = SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(880,plain,
! [SV45: a,SV2: a] :
( ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $true )
| ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(881,plain,
! [SV45: a,SV2: a] :
( ( ( SV2 = SV45 )
= $true )
| ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(882,plain,
! [SV45: a,SV2: a] :
( ( ( ( sum_In811702836um_c_b @ SV2 )
= ( sum_In811702836um_c_b @ SV45 ) )
= $true )
| ( ( SV2 = SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(883,plain,
! [SV45: a,SV2: a] :
( ( ( SV2 = SV45 )
= $true )
| ( ( SV2 = SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(884,plain,
! [SV47: a > $o,SV4: a] :
( ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $true )
| ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(885,plain,
! [SV4: a,SV47: a > $o] :
( ( ( SV47 @ SV4 )
= $true )
| ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(886,plain,
! [SV47: a > $o,SV4: a] :
( ( ( member_a @ SV4 @ ( collect_a @ SV47 ) )
= $true )
| ( ( SV47 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(887,plain,
! [SV4: a,SV47: a > $o] :
( ( ( SV47 @ SV4 )
= $true )
| ( ( SV47 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(888,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $true )
| ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(889,plain,
! [SV5: sum_su1965225555um_c_b,SV48: sum_su1965225555um_c_b > $o] :
( ( ( SV48 @ SV5 )
= $true )
| ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(890,plain,
! [SV48: sum_su1965225555um_c_b > $o,SV5: sum_su1965225555um_c_b] :
( ( ( member973578748um_c_b @ SV5 @ ( collec1166375742um_c_b @ SV48 ) )
= $true )
| ( ( SV48 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(891,plain,
! [SV5: sum_su1965225555um_c_b,SV48: sum_su1965225555um_c_b > $o] :
( ( ( SV48 @ SV5 )
= $true )
| ( ( SV48 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(892,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(893,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(894,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(895,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
| ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(896,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 )
| ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(897,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 )
| ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
= $false )
| ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(898,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
= $false )
| ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(899,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
| ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
= $false )
| ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(900,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $true )
| ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(901,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $true )
| ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(902,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY172: a] : ( member_a @ SY172 @ SV17 )
@ ^ [SY244: a] : ( member_a @ SY244 @ SV58 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(903,plain,
! [SV58: set_a,SV17: set_a] :
( ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $true )
| ( ( ord_less_eq_set_a @ SV17 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(904,plain,
! [SV59: a] :
( ( ( top_top_a_o @ SV59 )
= $true )
| ( ( top_top_a_o @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(905,plain,
! [SV59: a] :
( ( ( member_a @ SV59 @ top_top_set_a )
= $true )
| ( ( top_top_a_o @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(906,plain,
! [SV59: a] :
( ( ( top_top_a_o @ SV59 )
= $true )
| ( ( member_a @ SV59 @ top_top_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(907,plain,
! [SV59: a] :
( ( ( member_a @ SV59 @ top_top_set_a )
= $true )
| ( ( member_a @ SV59 @ top_top_set_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(908,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(909,plain,
! [SV21: $o] :
( ( $true = $true )
| ( SV21 = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(910,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(911,plain,
! [SV21: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV21 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(912,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(913,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(914,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(915,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(916,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(917,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(918,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(919,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(920,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[852]) ).
thf(921,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[852]) ).
thf(922,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(923,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(924,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(925,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(926,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(927,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(928,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(929,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(930,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(931,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(932,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(933,plain,
! [SV60: set_a,SV106: set_a] :
( ( ( ~ ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
| ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[861]) ).
thf(934,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $true )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(935,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $true )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(936,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(937,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(938,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(939,plain,
! [SV63: set_a,SV107: set_a] :
( ( ( ~ ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
| ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[867]) ).
thf(940,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(941,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(942,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) ) )
= $true )
| ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(943,plain,
! [SV95: set_Su111624115um_c_b,SV69: denota723907260t_unit,SV108: a,SV31: denota723907260t_unit] :
( ( ( ! [SV110: finite1390225514real_b] :
( ( denota102976244t_unit @ SV31 @ SV108 @ SV110 )
= ( denota102976244t_unit @ SV69 @ SV108 @ SV110 ) ) )
= $true )
| ( ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 )
= $false )
| ( ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[871]) ).
thf(944,plain,
! [SV95: set_Su111624115um_c_b,SV69: denota723907260t_unit,SV108: a,SV31: denota723907260t_unit] :
( ( ( ( denota102976244t_unit @ SV31 @ SV108 )
= ( denota102976244t_unit @ SV69 @ SV108 ) )
= $true )
| ( ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 )
= $false )
| ( ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[871]) ).
thf(945,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
= $true )
| ( ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) )
= $true )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(946,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
= $true )
| ( ( ~ ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
= $true )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(947,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $true )
| ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(948,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) )
= $true )
| ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(949,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(950,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(951,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(952,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ~ ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) ) )
= $false )
| ( ( member_a @ SV9 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[895]) ).
thf(953,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(954,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(955,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV53 @ SV102 ) )
= $false )
| ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(956,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ~ ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) ) )
= $false )
| ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(957,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 ) )
= $false )
| ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(958,plain,
! [SV57: set_a,SV16: set_a,SV105: a] :
( ( ( ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
= $false )
| ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(959,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( ~ ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 ) )
= $false )
| ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(960,plain,
! [SV57: set_a,SV16: set_a,SV105: a] :
( ( ( ~ ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) ) )
= $false )
| ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(961,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[908]) ).
thf(962,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[908]) ).
thf(963,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[909]) ).
thf(964,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[909]) ).
thf(965,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(966,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(967,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false )
| ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(968,plain,
! [SV21: $o] :
( ( ( SV21 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(969,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(970,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(971,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(972,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV21 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(973,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[916]) ).
thf(974,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[916]) ).
thf(975,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[917]) ).
thf(976,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[917]) ).
thf(977,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(978,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(979,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(980,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(981,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(982,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(983,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(984,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(985,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(986,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(987,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(988,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(989,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[926]) ).
thf(990,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[926]) ).
thf(991,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[927]) ).
thf(992,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[927]) ).
thf(993,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(994,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(995,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(996,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(997,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(998,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(999,plain,
! [SV60: set_a,SV106: set_a] :
( ( ( ~ ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(1000,plain,
! [SV60: set_a,SV106: set_a] :
( ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(1001,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV111: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ SV111 )
| ( SV61 @ SV111 ) )
= $true )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1002,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
| ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1003,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(1004,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(1005,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 ) )
= $false )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1006,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1007,plain,
! [SV63: set_a,SV107: set_a] :
( ( ( ~ ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(1008,plain,
! [SV63: set_a,SV107: set_a] :
( ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(1009,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(1010,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[941]) ).
thf(1011,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1012,plain,
! [SV95: set_Su111624115um_c_b,SV69: denota723907260t_unit,SV112: finite1390225514real_b,SV108: a,SV31: denota723907260t_unit] :
( ( ( ( denota102976244t_unit @ SV31 @ SV108 @ SV112 )
= ( denota102976244t_unit @ SV69 @ SV108 @ SV112 ) )
= $true )
| ( ( member973578748um_c_b @ ( sum_In811702836um_c_b @ SV108 ) @ SV95 )
= $false )
| ( ( denota896875430_a_c_b @ SV31 @ SV69 @ SV95 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1013,plain,
! [SV76: sum_su1965225555um_c_b > $o,SV39: sum_su1965225555um_c_b > $o] :
( ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
= $false )
| ( ( ~ ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) ) )
= $true )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1014,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ SV50 )
= $true )
| ( ( member_a @ SV9 @ SV81 )
= $true )
| ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(1015,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $true )
| ( ( member_a @ SV9 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1016,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) )
= $true )
| ( ( member_a @ SV9 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(1017,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ ( sup_sup_set_a @ SV50 @ SV81 ) )
= $true )
| ( ( member_a @ SV9 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(1018,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( ( member_a @ SV9 @ SV50 )
| ( member_a @ SV9 @ SV81 ) )
= $true )
| ( ( member_a @ SV9 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1019,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $true )
| ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(1020,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(1021,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_set_a @ SV53 @ SV102 )
= $true )
| ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(1022,plain,
! [SV102: set_a,SV53: set_a] :
( ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $true )
| ( ( ord_less_eq_a_o
@ ^ [SY233: a] : ( member_a @ SY233 @ SV53 )
@ ^ [SY296: a] : ( member_a @ SY296 @ SV102 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[956]) ).
thf(1023,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $true )
| ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(1024,plain,
! [SV57: set_a,SV16: set_a,SV105: a] :
( ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $true )
| ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1025,plain,
! [SV105: a,SV57: set_a,SV16: set_a] :
( ( ( sup_sup_a_o
@ ^ [SY168: a] : ( member_a @ SY168 @ SV16 )
@ ^ [SY241: a] : ( member_a @ SY241 @ SV57 )
@ SV105 )
= $true )
| ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(1026,plain,
! [SV57: set_a,SV16: set_a,SV105: a] :
( ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $true )
| ( ( member_a @ SV105 @ ( sup_sup_set_a @ SV16 @ SV57 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(1027,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1028,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1029,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1030,plain,
! [SV21: $o] :
( ( ( ~ ( SV21
| $false ) )
= $true )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1031,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1032,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1033,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1034,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1035,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1036,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1037,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1038,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1039,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $true )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1040,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1041,plain,
! [SV60: set_a,SV106: set_a] :
( ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1042,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1043,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV111: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ SV111 ) )
= $true )
| ( ( SV61 @ SV111 )
= $true )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1044,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) ) )
= $false )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1045,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $false )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1046,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $true )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1047,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $true )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1048,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $true )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1049,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1050,plain,
! [SV63: set_a,SV107: set_a] :
( ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1051,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1052,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1053,plain,
! [SV66: sum_su1965225555um_c_b > $o,SV92: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1054,plain,
! [SV39: sum_su1965225555um_c_b > $o,SV76: sum_su1965225555um_c_b > $o] :
( ( ( SV76 @ ( sK4_SY271 @ SV76 @ SV39 ) )
= $false )
| ( ( SV39 @ ( sK4_SY271 @ SV76 @ SV39 ) )
= $false )
| ( ( ( collec1166375742um_c_b @ SV39 )
= ( collec1166375742um_c_b @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1055,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ SV50 )
= $true )
| ( ( member_a @ SV9 @ SV81 )
= $true )
| ( ( member_a @ SV9 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1056,plain,
! [SV81: set_a,SV50: set_a,SV9: a] :
( ( ( member_a @ SV9 @ SV50 )
= $true )
| ( ( member_a @ SV9 @ SV81 )
= $true )
| ( ( member_a @ SV9 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1057,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1058,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1059,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1060,plain,
! [SV21: $o] :
( ( ( SV21
| $false )
= $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1061,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1062,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1063,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1064,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1065,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1066,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1067,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1068,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1069,plain,
! [SV106: set_a,SV60: set_a,SV113: a] :
( ( ( ~ ( member_a @ SV113 @ SV60 )
| ( member_a @ SV113 @ SV106 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1070,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 )
| ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1071,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 ) )
= $false )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1072,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1073,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV111: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( SV23 @ SV111 )
= $false )
| ( ( SV61 @ SV111 )
= $true )
| ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1074,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ord_le1404954451um_c_b @ ( collec1166375742um_c_b @ SV23 ) @ ( collec1166375742um_c_b @ SV61 ) )
= $true )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1075,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ! [SY247: sum_su1965225555um_c_b] :
( ~ ( SV23 @ SY247 )
| ( SV61 @ SY247 ) ) )
= $true )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1076,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV114: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ SV114 )
| ( SV61 @ SV114 ) )
= $true )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1077,plain,
! [SV107: set_a,SV63: set_a,SV115: a] :
( ( ( ~ ( member_a @ SV115 @ SV63 )
| ( member_a @ SV115 @ SV107 ) )
= $true )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1078,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 )
| ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1079,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 ) )
= $false )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1080,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1081,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1082,plain,
! [SV66: sum_su1965225555um_c_b > $o,SV92: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1083,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
| ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1084,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1085,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1086,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1087,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1088,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1089,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1090,plain,
! [SV21: $o] :
( ( SV21 = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1091,plain,
! [SV21: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV21
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1092,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1093,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1094,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1095,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1096,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1097,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1098,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1099,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1100,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1101,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1102,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1103,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1104,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1067]) ).
thf(1105,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1067]) ).
thf(1106,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1107,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1108,plain,
! [SV106: set_a,SV60: set_a,SV113: a] :
( ( ( ~ ( member_a @ SV113 @ SV60 ) )
= $true )
| ( ( member_a @ SV113 @ SV106 )
= $true )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1069]) ).
thf(1109,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV60 @ SV106 ) )
= $false )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1110,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ~ ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $false )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1111,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1112,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1113,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV116: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ SV116 )
| ( SV61 @ SV116 ) )
= $true )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1114,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV114: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ SV114 ) )
= $true )
| ( ( SV61 @ SV114 )
= $true )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1115,plain,
! [SV107: set_a,SV63: set_a,SV115: a] :
( ( ( ~ ( member_a @ SV115 @ SV63 ) )
= $true )
| ( ( member_a @ SV115 @ SV107 )
= $true )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1116,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ( ord_less_eq_set_a @ SV63 @ SV107 ) )
= $false )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1117,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ~ ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $false )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1118,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1119,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1120,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1121,plain,
! [SV66: sum_su1965225555um_c_b > $o,SV92: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1122,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1123,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1124,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1125,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1126,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1127,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1128,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1129,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1130,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1131,plain,
! [SV21: $o] :
( ( ( ~ SV21
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1132,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1133,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1134,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1135,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1136,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1137,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1138,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1139,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1140,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1141,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1142,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1143,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1144,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1145,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1146,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1147,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1148,plain,
! [SV106: set_a,SV60: set_a,SV113: a] :
( ( ( member_a @ SV113 @ SV60 )
= $false )
| ( ( member_a @ SV113 @ SV106 )
= $true )
| ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1149,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ord_less_eq_set_a @ SV60 @ SV106 )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1150,plain,
! [SV106: set_a,SV60: set_a] :
( ( ( ! [SY301: a] :
( ~ ( member_a @ SY301 @ SV60 )
| ( member_a @ SY301 @ SV106 ) ) )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1151,plain,
! [SV106: set_a,SV60: set_a,SV117: a] :
( ( ( ~ ( member_a @ SV117 @ SV60 )
| ( member_a @ SV117 @ SV106 ) )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1152,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV116: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( ~ ( SV23 @ SV116 ) )
= $true )
| ( ( SV61 @ SV116 )
= $true )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1153,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV114: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( SV23 @ SV114 )
= $false )
| ( ( SV61 @ SV114 )
= $true )
| ( ( SV61 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1154,plain,
! [SV107: set_a,SV63: set_a,SV115: a] :
( ( ( member_a @ SV115 @ SV63 )
= $false )
| ( ( member_a @ SV115 @ SV107 )
= $true )
| ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1155,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ord_less_eq_set_a @ SV63 @ SV107 )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1116]) ).
thf(1156,plain,
! [SV107: set_a,SV63: set_a] :
( ( ( ! [SY302: a] :
( ~ ( member_a @ SY302 @ SV63 )
| ( member_a @ SY302 @ SV107 ) ) )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1157,plain,
! [SV107: set_a,SV63: set_a,SV118: a] :
( ( ( ~ ( member_a @ SV118 @ SV63 )
| ( member_a @ SV118 @ SV107 ) )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1158,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28
@ ( collec1166375742um_c_b
@ ^ [SY288: sum_su1965225555um_c_b] :
~ ( ~ ( SV66 @ SY288 )
| ~ ( SV92 @ SY288 ) ) ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1159,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1160,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1161,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1162,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1163,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1164,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1165,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1166,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1167,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1168,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1169,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1170,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1171,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1172,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1173,plain,
! [SV21: $o] :
( ( ( ~ $false ) = $false )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1174,plain,
! [SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1175,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1176,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1177,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1178,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1133]) ).
thf(1179,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1133]) ).
thf(1180,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1181,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1182,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1183,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1184,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1185,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1186,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1187,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1188,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1189,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1190,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1191,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1192,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1193,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1194,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1195,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1196,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1142]) ).
thf(1197,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1142]) ).
thf(1198,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1199,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1200,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1201,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1202,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1203,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1204,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1205,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1206,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1207,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1208,plain,
! [SV106: set_a,SV60: set_a,SV119: a] :
( ( ( ~ ( member_a @ SV119 @ SV60 )
| ( member_a @ SV119 @ SV106 ) )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1209,plain,
! [SV106: set_a,SV60: set_a,SV117: a] :
( ( ( ~ ( member_a @ SV117 @ SV60 ) )
= $true )
| ( ( member_a @ SV117 @ SV106 )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1210,plain,
! [SV61: sum_su1965225555um_c_b > $o,SV116: sum_su1965225555um_c_b,SV23: sum_su1965225555um_c_b > $o] :
( ( ( SV23 @ SV116 )
= $false )
| ( ( SV61 @ SV116 )
= $true )
| ( ( SV23 @ ( sK6_SY247 @ SV61 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1211,plain,
! [SV107: set_a,SV63: set_a,SV120: a] :
( ( ( ~ ( member_a @ SV120 @ SV63 )
| ( member_a @ SV120 @ SV107 ) )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1212,plain,
! [SV107: set_a,SV63: set_a,SV118: a] :
( ( ( ~ ( member_a @ SV118 @ SV63 ) )
= $true )
| ( ( member_a @ SV118 @ SV107 )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1213,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
| ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1214,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1215,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1216,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1217,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1218,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1219,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1220,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1221,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV21 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1222,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1223,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1224,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1225,plain,
! [SV21: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1226,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1227,plain,
! [SV21: $o] :
( ( $false = $true )
| ( SV21 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1228,plain,
! [SV21: $o] :
( ( SV21 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1229,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1230,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1231,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1232,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1233,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1234,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1235,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1236,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1237,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1238,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1239,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1240,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1241,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1242,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1243,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1244,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1245,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1246,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1247,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1248,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1194]) ).
thf(1249,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1250,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1251,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1252,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1253,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1254,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1255,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1256,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1257,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1258,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1259,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1260,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1261,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1262,plain,
! [SV106: set_a,SV60: set_a,SV119: a] :
( ( ( ~ ( member_a @ SV119 @ SV60 ) )
= $true )
| ( ( member_a @ SV119 @ SV106 )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1263,plain,
! [SV106: set_a,SV60: set_a,SV117: a] :
( ( ( member_a @ SV117 @ SV60 )
= $false )
| ( ( member_a @ SV117 @ SV106 )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1264,plain,
! [SV107: set_a,SV63: set_a,SV120: a] :
( ( ( ~ ( member_a @ SV120 @ SV63 ) )
= $true )
| ( ( member_a @ SV120 @ SV107 )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1265,plain,
! [SV107: set_a,SV63: set_a,SV118: a] :
( ( ( member_a @ SV118 @ SV63 )
= $false )
| ( ( member_a @ SV118 @ SV107 )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1266,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1267,plain,
! [SV66: sum_su1965225555um_c_b > $o,SV92: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ~ ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1268,plain,
! [SV106: set_a,SV60: set_a,SV119: a] :
( ( ( member_a @ SV119 @ SV60 )
= $false )
| ( ( member_a @ SV119 @ SV106 )
= $true )
| ( ( member_a @ ( sK7_SY301 @ SV106 @ SV60 ) @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1269,plain,
! [SV107: set_a,SV63: set_a,SV120: a] :
( ( ( member_a @ SV120 @ SV63 )
= $false )
| ( ( member_a @ SV120 @ SV107 )
= $true )
| ( ( member_a @ ( sK8_SY302 @ SV107 @ SV63 ) @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1270,plain,
! [SV92: sum_su1965225555um_c_b > $o,SV66: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1271,plain,
! [SV66: sum_su1965225555um_c_b > $o,SV92: sum_su1965225555um_c_b > $o,SV28: set_Su111624115um_c_b] :
( ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $true )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV66 ) )
= $false )
| ( ( ord_le1404954451um_c_b @ SV28 @ ( collec1166375742um_c_b @ SV92 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1272,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[418,1271,1270,1269,1268,1265,1263,1261,1260,1259,1258,1257,1256,1255,1254,1253,1252,1251,1250,1249,1248,1247,1246,1245,1244,1243,1242,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1229,1228,1227,1226,1225,1224,1223,1222,1221,1220,1219,1218,1217,1216,1215,1214,1210,1158,1155,1154,1153,1149,1148,1121,1120,1118,1111,1074,1073,1056,1055,1054,1048,1046,1039,1026,1025,1024,1023,1022,1021,1020,1019,1017,1015,1014,1012,1009,996,995,994,993,992,990,988,986,984,983,982,981,980,978,976,974,972,971,970,969,968,966,964,962,947,945,944,934,907,906,905,904,903,902,901,900,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,872,870,809,806,804,799,765,763,759,756,719,716,712,711,708,698,696,688,685,682,679,675,668,665,662,656,655,653,652,651,637,627,625,623,615,613,611,609,607,605,603,601,598,596,594,592,588,570,561,554,551,547,528,524,519,518,516,512,510,508,506,504,500,499,488,484,481,470,461,459]) ).
thf(1273,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP042^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n020.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Oct 6 11:15:51 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.22/1.49 ..
% 7.22/1.49
% 7.22/1.49 No.of.Axioms: 51
% 7.22/1.49
% 7.22/1.49 Length.of.Defs: 0
% 7.22/1.49
% 7.22/1.49 Contains.Choice.Funs: false
% 7.22/1.49 ....................
% 7.22/1.49
% 7.22/1.49 ********************************
% 7.22/1.49 * All subproblems solved! *
% 7.22/1.49 ********************************
% 7.22/1.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:51,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:1272,loop_count:0,foatp_calls:1,translation:fof_full)
% 7.22/1.49
% 7.22/1.49 %**** Beginning of derivation protocol ****
% 7.22/1.49 % SZS output start CNFRefutation
% See solution above
% 1.46/1.50
% 1.46/1.50 %**** End of derivation protocol ****
% 1.46/1.50 %**** no. of clauses in derivation: 966 ****
% 1.46/1.50 %**** clause counter: 1272 ****
% 1.46/1.50
% 1.46/1.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:51,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:1272,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------