TSTP Solution File: LAT289+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:45:38 EDT 2022
% Result : Theorem 31.76s 31.98s
% Output : CNFRefutation 32.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 165
% Syntax : Number of formulae : 1843 ( 866 unt; 78 typ; 0 def)
% Number of atoms : 17255 (3938 equ; 0 cnn)
% Maximal formula atoms : 17 ( 9 avg)
% Number of connectives : 29666 (7573 ~;7064 |; 610 &;14227 @)
% ( 10 <=>; 182 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 90 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 78 usr; 14 con; 0-4 aty)
% Number of variables : 3295 ( 0 ^3259 !; 36 ?;3295 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_1_1_lopclset,type,
a_1_1_lopclset: $i > $i ).
thf(tp_k1_funct_1,type,
k1_funct_1: $i > $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k7_lopclset,type,
k7_lopclset: $i > $i ).
thf(tp_k8_funct_2,type,
k8_funct_2: $i > $i > $i > $i > $i ).
thf(tp_k8_lopclset,type,
k8_lopclset: $i > $i ).
thf(tp_k9_lopclset,type,
k9_lopclset: $i > $i ).
thf(tp_l1_lattices,type,
l1_lattices: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_l2_lattices,type,
l2_lattices: $i > $o ).
thf(tp_l3_lattices,type,
l3_lattices: $i > $o ).
thf(tp_m1_filter_0,type,
m1_filter_0: $i > $i > $o ).
thf(tp_m1_relset_1,type,
m1_relset_1: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_r1_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_sK10_A,type,
sK10_A: $i ).
thf(tp_sK11_C,type,
sK11_C: $i > $i > $i ).
thf(tp_sK12_C,type,
sK12_C: $i > $i > $i ).
thf(tp_sK13_C,type,
sK13_C: $i > $i > $i ).
thf(tp_sK14_C,type,
sK14_C: $i > $i > $i ).
thf(tp_sK15_A,type,
sK15_A: $i ).
thf(tp_sK16_A,type,
sK16_A: $i ).
thf(tp_sK17_A,type,
sK17_A: $i ).
thf(tp_sK18_B,type,
sK18_B: $i > $i ).
thf(tp_sK19_B,type,
sK19_B: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_A,type,
sK20_A: $i ).
thf(tp_sK21_A,type,
sK21_A: $i ).
thf(tp_sK22_A,type,
sK22_A: $i ).
thf(tp_sK2_SY141,type,
sK2_SY141: $i ).
thf(tp_sK3_SY143,type,
sK3_SY143: $i ).
thf(tp_sK4_B,type,
sK4_B: $i > $i ).
thf(tp_sK5_B,type,
sK5_B: $i > $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_C,type,
sK7_C: $i > $i > $i ).
thf(tp_sK8_C,type,
sK8_C: $i > $i > $i ).
thf(tp_sK9_B,type,
sK9_B: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_v10_lattices,type,
v10_lattices: $i > $o ).
thf(tp_v11_lattices,type,
v11_lattices: $i > $o ).
thf(tp_v12_lattices,type,
v12_lattices: $i > $o ).
thf(tp_v13_lattices,type,
v13_lattices: $i > $o ).
thf(tp_v14_lattices,type,
v14_lattices: $i > $o ).
thf(tp_v15_lattices,type,
v15_lattices: $i > $o ).
thf(tp_v16_lattices,type,
v16_lattices: $i > $o ).
thf(tp_v17_lattices,type,
v17_lattices: $i > $o ).
thf(tp_v1_filter_0,type,
v1_filter_0: $i > $i > $o ).
thf(tp_v1_finset_1,type,
v1_finset_1: $i > $o ).
thf(tp_v1_finsub_1,type,
v1_finsub_1: $i > $o ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_funct_2,type,
v1_funct_2: $i > $i > $i > $o ).
thf(tp_v1_int_1,type,
v1_int_1: $i > $o ).
thf(tp_v1_membered,type,
v1_membered: $i > $o ).
thf(tp_v1_partfun1,type,
v1_partfun1: $i > $i > $i > $o ).
thf(tp_v1_rat_1,type,
v1_rat_1: $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
thf(tp_v1_xreal_0,type,
v1_xreal_0: $i > $o ).
thf(tp_v2_membered,type,
v2_membered: $i > $o ).
thf(tp_v3_finsub_1,type,
v3_finsub_1: $i > $o ).
thf(tp_v3_membered,type,
v3_membered: $i > $o ).
thf(tp_v3_realset2,type,
v3_realset2: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v4_finsub_1,type,
v4_finsub_1: $i > $o ).
thf(tp_v4_lattices,type,
v4_lattices: $i > $o ).
thf(tp_v4_membered,type,
v4_membered: $i > $o ).
thf(tp_v4_ordinal2,type,
v4_ordinal2: $i > $o ).
thf(tp_v5_lattices,type,
v5_lattices: $i > $o ).
thf(tp_v5_membered,type,
v5_membered: $i > $o ).
thf(tp_v6_lattices,type,
v6_lattices: $i > $o ).
thf(tp_v7_lattices,type,
v7_lattices: $i > $o ).
thf(tp_v8_lattices,type,
v8_lattices: $i > $o ).
thf(tp_v9_lattices,type,
v9_lattices: $i > $o ).
thf(1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_filter_0 @ C @ A )
=> ( ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) )
<=> ( ( v1_filter_0 @ C @ A )
& ( r2_hidden @ B @ C ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_lopclset) ).
thf(2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( k7_lopclset @ A )
= ( a_1_1_lopclset @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lopclset) ).
thf(3,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(7,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lopclset) ).
thf(8,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) )
& ( v1_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ( v3_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ( v4_finsub_1 @ ( k1_zfmisc_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_finsub_1) ).
thf(9,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v17_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v11_lattices @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
thf(10,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
thf(11,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(12,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(13,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
thf(14,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
thf(15,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( v1_funct_1 @ ( k9_lopclset @ A ) )
& ( v1_funct_2 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) )
& ( m2_relset_1 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_lopclset) ).
thf(16,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( v1_relat_1 @ ( k8_lopclset @ A ) )
& ( v1_funct_1 @ ( k8_lopclset @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_lopclset) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_subset_1 @ D @ A ) )
=> ( m1_subset_1 @ ( k8_funct_2 @ A @ B @ C @ D ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
thf(18,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( m1_subset_1 @ ( k7_lopclset @ A ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lopclset) ).
thf(19,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(20,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_funct_1) ).
thf(21,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( k9_lopclset @ A )
= ( k8_lopclset @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_subset_1 @ D @ A ) )
=> ( ( k8_funct_2 @ A @ B @ C @ D )
= ( k1_funct_1 @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
thf(23,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(24,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] : ( m1_filter_0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_filter_0) ).
thf(25,axiom,
? [A: $i] : ( l3_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( v17_lattices @ B )
& ~ ( v3_realset2 @ B )
& ( l3_lattices @ B ) )
=> ( ( r2_hidden @ A @ ( a_1_1_lopclset @ B ) )
<=> ? [C: $i] :
( ( m1_filter_0 @ C @ B )
& ( A = C )
& ( v1_filter_0 @ C @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_1_1_lopclset) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
thf(29,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(30,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(33,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
thf(34,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(35,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
thf(36,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
thf(37,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(38,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v11_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A )
& ( v10_lattices @ A )
& ( v12_lattices @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_lattices) ).
thf(39,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v11_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v17_lattices @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_funct_2) ).
thf(42,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v15_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_lattices) ).
thf(43,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v15_lattices @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_lattices) ).
thf(44,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattices) ).
thf(45,axiom,
! [A: $i] :
( ( ( v1_finsub_1 @ A )
& ( v3_finsub_1 @ A ) )
=> ( v4_finsub_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finsub_1) ).
thf(46,axiom,
! [A: $i] :
( ( v4_finsub_1 @ A )
=> ( ( v1_finsub_1 @ A )
& ( v3_finsub_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finsub_1) ).
thf(47,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(48,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc15_membered) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(50,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(51,axiom,
! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
thf(52,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(53,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(55,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(56,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(57,axiom,
? [A: $i] : ( l2_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
thf(58,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(59,axiom,
? [A: $i] : ( l1_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
thf(60,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(61,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).
thf(62,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).
thf(63,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).
thf(64,axiom,
? [A: $i] :
( ( l3_lattices @ A )
& ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A )
& ( v10_lattices @ A )
& ( v11_lattices @ A )
& ( v12_lattices @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lopclset) ).
thf(65,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(66,axiom,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_membered @ k1_xboole_0 )
& ( v2_membered @ k1_xboole_0 )
& ( v3_membered @ k1_xboole_0 )
& ( v4_membered @ k1_xboole_0 )
& ( v5_membered @ k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
thf(67,axiom,
! [A: $i,B: $i] :
( ( ( v1_finset_1 @ A )
& ( v1_finset_1 @ B ) )
=> ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1) ).
thf(68,axiom,
! [A: $i] :
( ( v2_membered @ A )
=> ( v1_membered @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_membered) ).
thf(69,axiom,
! [A: $i] :
( ( v3_membered @ A )
=> ( v2_membered @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_membered) ).
thf(70,axiom,
! [A: $i] :
( ( v4_membered @ A )
=> ( v3_membered @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_membered) ).
thf(71,axiom,
! [A: $i] :
( ( v1_finset_1 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_finset_1 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
thf(72,axiom,
! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B )
& ( v5_membered @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc20_membered) ).
thf(73,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(74,axiom,
! [A: $i] :
( ( v5_membered @ A )
=> ( v4_membered @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_membered) ).
thf(75,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
thf(76,axiom,
! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc19_membered) ).
thf(77,axiom,
! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc18_membered) ).
thf(78,axiom,
! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc17_membered) ).
thf(79,axiom,
! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_membered @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).
thf(80,axiom,
! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v4_ordinal2 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_membered) ).
thf(81,axiom,
! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_membered) ).
thf(82,axiom,
! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_rat_1 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_membered) ).
thf(83,axiom,
! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_membered) ).
thf(84,axiom,
! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( v1_xcmplx_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_membered) ).
thf(85,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(86,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(87,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_filter_0 @ C @ A )
=> ~ ( ( v1_filter_0 @ C @ A )
& ~ ( r2_hidden @ C @ ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ B ) )
& ( r2_hidden @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_lopclset) ).
thf(88,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_filter_0 @ C @ A )
=> ~ ( ( v1_filter_0 @ C @ A )
& ~ ( r2_hidden @ C @ ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ B ) )
& ( r2_hidden @ B @ C ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[87]) ).
thf(89,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_filter_0 @ C @ A )
=> ~ ( ( v1_filter_0 @ C @ A )
& ~ ( r2_hidden @ C @ ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ B ) )
& ( r2_hidden @ B @ C ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[88]) ).
thf(90,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_filter_0 @ C @ A )
=> ( ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) )
<=> ( ( v1_filter_0 @ C @ A )
& ( r2_hidden @ B @ C ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(91,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( k7_lopclset @ A )
= ( a_1_1_lopclset @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(93,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(95,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(96,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(97,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) )
& ( v1_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ( v3_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ( v4_finsub_1 @ ( k1_zfmisc_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(98,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v17_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v11_lattices @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(99,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(100,plain,
$true = $true,
inference(unfold_def,[status(thm)],[11]) ).
thf(101,plain,
$true = $true,
inference(unfold_def,[status(thm)],[12]) ).
thf(102,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(103,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(104,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( v1_funct_1 @ ( k9_lopclset @ A ) )
& ( v1_funct_2 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) )
& ( m2_relset_1 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(105,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( v1_relat_1 @ ( k8_lopclset @ A ) )
& ( v1_funct_1 @ ( k8_lopclset @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_subset_1 @ D @ A ) )
=> ( m1_subset_1 @ ( k8_funct_2 @ A @ B @ C @ D ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(107,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( m1_subset_1 @ ( k7_lopclset @ A ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(108,plain,
$true = $true,
inference(unfold_def,[status(thm)],[19]) ).
thf(109,plain,
$true = $true,
inference(unfold_def,[status(thm)],[20]) ).
thf(110,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( k9_lopclset @ A )
= ( k8_lopclset @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_subset_1 @ D @ A ) )
=> ( ( k8_funct_2 @ A @ B @ C @ D )
= ( k1_funct_1 @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(112,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(113,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] : ( m1_filter_0 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(114,plain,
( ( ? [A: $i] : ( l3_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(115,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(116,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( v17_lattices @ B )
& ~ ( v3_realset2 @ B )
& ( l3_lattices @ B ) )
=> ( ( r2_hidden @ A @ ( a_1_1_lopclset @ B ) )
<=> ? [C: $i] :
( ( m1_filter_0 @ C @ B )
& ( A = C )
& ( v1_filter_0 @ C @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(117,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(119,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(121,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(122,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(123,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(126,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(127,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v11_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A )
& ( v10_lattices @ A )
& ( v12_lattices @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(128,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v11_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v17_lattices @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(129,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(130,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(131,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v15_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(132,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v15_lattices @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(133,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(134,plain,
( ( ! [A: $i] :
( ( ( v1_finsub_1 @ A )
& ( v3_finsub_1 @ A ) )
=> ( v4_finsub_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(135,plain,
( ( ! [A: $i] :
( ( v4_finsub_1 @ A )
=> ( ( v1_finsub_1 @ A )
& ( v3_finsub_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(136,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(137,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(138,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(139,plain,
$true = $true,
inference(unfold_def,[status(thm)],[50]) ).
thf(140,plain,
( ( ! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(141,plain,
$true = $true,
inference(unfold_def,[status(thm)],[52]) ).
thf(142,plain,
( ( ! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(144,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(145,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(146,plain,
( ( ? [A: $i] : ( l2_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(147,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(148,plain,
( ( ? [A: $i] : ( l1_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(149,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(150,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(151,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B )
& ( v1_finset_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(152,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_membered @ A )
& ( v2_membered @ A )
& ( v3_membered @ A )
& ( v4_membered @ A )
& ( v5_membered @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(153,plain,
( ( ? [A: $i] :
( ( l3_lattices @ A )
& ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A )
& ( v10_lattices @ A )
& ( v11_lattices @ A )
& ( v12_lattices @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(154,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(155,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_membered @ k1_xboole_0 )
& ( v2_membered @ k1_xboole_0 )
& ( v3_membered @ k1_xboole_0 )
& ( v4_membered @ k1_xboole_0 )
& ( v5_membered @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(156,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_finset_1 @ A )
& ( v1_finset_1 @ B ) )
=> ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(157,plain,
( ( ! [A: $i] :
( ( v2_membered @ A )
=> ( v1_membered @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(158,plain,
( ( ! [A: $i] :
( ( v3_membered @ A )
=> ( v2_membered @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(159,plain,
( ( ! [A: $i] :
( ( v4_membered @ A )
=> ( v3_membered @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(160,plain,
( ( ! [A: $i] :
( ( v1_finset_1 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_finset_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(161,plain,
( ( ! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B )
& ( v5_membered @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(162,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(163,plain,
( ( ! [A: $i] :
( ( v5_membered @ A )
=> ( v4_membered @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(164,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(165,plain,
( ( ! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B )
& ( v4_membered @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(166,plain,
( ( ! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B )
& ( v3_membered @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(167,plain,
( ( ! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ( v1_membered @ B )
& ( v2_membered @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(168,plain,
( ( ! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_membered @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(169,plain,
( ( ! [A: $i] :
( ( v5_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v4_ordinal2 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(170,plain,
( ( ! [A: $i] :
( ( v4_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_int_1 @ B )
& ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(171,plain,
( ( ! [A: $i] :
( ( v3_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B )
& ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(172,plain,
( ( ! [A: $i] :
( ( v2_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_xcmplx_0 @ B )
& ( v1_xreal_0 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(173,plain,
( ( ! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( v1_xcmplx_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(174,plain,
$true = $true,
inference(unfold_def,[status(thm)],[85]) ).
thf(175,plain,
$true = $true,
inference(unfold_def,[status(thm)],[86]) ).
thf(176,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( v10_lattices @ sK1_A )
& ( v17_lattices @ sK1_A )
& ~ ( v3_realset2 @ sK1_A )
& ( l3_lattices @ sK1_A ) )
=> ! [SY141: $i] :
( ( m1_subset_1 @ SY141 @ ( u1_struct_0 @ sK1_A ) )
=> ! [SY142: $i] :
( ( m1_filter_0 @ SY142 @ sK1_A )
=> ~ ( ( v1_filter_0 @ SY142 @ sK1_A )
& ~ ( r2_hidden @ SY142 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ SY141 ) )
& ( r2_hidden @ SY141 @ SY142 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(177,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[176]) ).
thf(178,plain,
( ( v10_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[176]) ).
thf(179,plain,
( ( v17_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[176]) ).
thf(180,plain,
( ( ~ ( v3_realset2 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[176]) ).
thf(181,plain,
( ( l3_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[176]) ).
thf(182,plain,
( ( ! [SY141: $i] :
( ( m1_subset_1 @ SY141 @ ( u1_struct_0 @ sK1_A ) )
=> ! [SY142: $i] :
( ( m1_filter_0 @ SY142 @ sK1_A )
=> ~ ( ( v1_filter_0 @ SY142 @ sK1_A )
& ~ ( r2_hidden @ SY142 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ SY141 ) )
& ( r2_hidden @ SY141 @ SY142 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[176]) ).
thf(183,plain,
( ( ~ ! [SY141: $i] :
( ( m1_subset_1 @ SY141 @ ( u1_struct_0 @ sK1_A ) )
=> ! [SY142: $i] :
( ( m1_filter_0 @ SY142 @ sK1_A )
=> ~ ( ( v1_filter_0 @ SY142 @ sK1_A )
& ~ ( r2_hidden @ SY142 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ SY141 ) )
& ( r2_hidden @ SY141 @ SY142 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[182]) ).
thf(184,plain,
( ( ( m1_subset_1 @ sK2_SY141 @ ( u1_struct_0 @ sK1_A ) )
& ( m1_filter_0 @ sK3_SY143 @ sK1_A )
& ( v1_filter_0 @ sK3_SY143 @ sK1_A )
& ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) )
& ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[183]) ).
thf(185,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
| ( ! [C: $i] :
( ~ ( m1_filter_0 @ C @ A )
| ~ ( r2_hidden @ B @ C )
| ~ ( v1_filter_0 @ C @ A )
| ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) ) )
& ! [C: $i] :
( ~ ( m1_filter_0 @ C @ A )
| ~ ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) )
| ( r2_hidden @ B @ C ) )
& ! [C: $i] :
( ~ ( m1_filter_0 @ C @ A )
| ~ ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) )
| ( v1_filter_0 @ C @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(186,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( ( k7_lopclset @ A )
= ( a_1_1_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(187,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(188,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(189,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
| ( r1_tarski @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( r1_tarski @ A @ B )
| ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(190,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(191,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(192,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) )
& ! [A: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ! [A: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ! [A: $i] : ( v4_finsub_1 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(193,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v11_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v13_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v14_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v15_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v16_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(194,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v4_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v5_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v6_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v7_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v8_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v9_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[99]) ).
thf(195,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ! [B: $i] :
( ~ ( m1_filter_0 @ B @ A )
| ~ ( v1_xboole_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_filter_0 @ B @ A )
| ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(196,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l1_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l2_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(197,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_funct_1 @ ( k9_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_funct_2 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( m2_relset_1 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[104]) ).
thf(198,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_funct_1 @ ( k8_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_relat_1 @ ( k8_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(199,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( m1_subset_1 @ D @ A )
| ( m1_subset_1 @ ( k8_funct_2 @ A @ B @ C @ D ) @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(200,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( m1_subset_1 @ ( k7_lopclset @ A ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(201,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( ( k9_lopclset @ A )
= ( k8_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[110]) ).
thf(202,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( m1_subset_1 @ D @ A )
| ( ( k8_funct_2 @ A @ B @ C @ D )
= ( k1_funct_1 @ C @ D ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(203,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK4_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(204,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( m1_filter_0 @ ( sK5_B @ A ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(205,plain,
( ( l3_lattices @ sK6_A )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(206,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[115]) ).
thf(207,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( v17_lattices @ B )
| ( v3_realset2 @ B )
| ~ ( l3_lattices @ B )
| ! [C: $i] :
( ( A != C )
| ~ ( m1_filter_0 @ C @ B )
| ~ ( v1_filter_0 @ C @ B ) )
| ( r2_hidden @ A @ ( a_1_1_lopclset @ B ) ) )
& ! [A: $i,B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( v17_lattices @ B )
| ( v3_realset2 @ B )
| ~ ( l3_lattices @ B )
| ~ ( r2_hidden @ A @ ( a_1_1_lopclset @ B ) )
| ( ( A
= ( sK7_C @ B @ A ) )
& ( m1_filter_0 @ ( sK7_C @ B @ A ) @ B )
& ( v1_filter_0 @ ( sK7_C @ B @ A ) @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(208,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( r2_hidden @ ( sK8_C @ B @ A ) @ A )
| ~ ( r2_hidden @ ( sK8_C @ B @ A ) @ B ) )
& ( ( r2_hidden @ ( sK8_C @ B @ A ) @ A )
| ( r2_hidden @ ( sK8_C @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(209,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(210,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(211,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(212,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(213,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK9_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK9_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(214,plain,
( ( ( l1_struct_0 @ sK10_A )
& ~ ( v3_struct_0 @ sK10_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(215,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK11_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK11_C @ B @ A ) )
& ( v1_funct_1 @ ( sK11_C @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(216,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK12_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK12_C @ B @ A ) )
& ( v1_funct_1 @ ( sK12_C @ B @ A ) )
& ( v1_funct_2 @ ( sK12_C @ B @ A ) @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(217,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(218,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v4_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v5_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v6_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v7_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v8_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v9_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v10_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v12_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(219,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v11_lattices @ A )
| ~ ( v15_lattices @ A )
| ~ ( v16_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v11_lattices @ A )
| ~ ( v15_lattices @ A )
| ~ ( v16_lattices @ A )
| ( v17_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(220,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( v1_xboole_0 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(221,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(222,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v15_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v15_lattices @ A )
| ( v13_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v15_lattices @ A )
| ( v14_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(223,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v13_lattices @ A )
| ~ ( v14_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v13_lattices @ A )
| ~ ( v14_lattices @ A )
| ( v15_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[132]) ).
thf(224,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v4_lattices @ A )
| ~ ( v5_lattices @ A )
| ~ ( v6_lattices @ A )
| ~ ( v7_lattices @ A )
| ~ ( v8_lattices @ A )
| ~ ( v9_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v4_lattices @ A )
| ~ ( v5_lattices @ A )
| ~ ( v6_lattices @ A )
| ~ ( v7_lattices @ A )
| ~ ( v8_lattices @ A )
| ~ ( v9_lattices @ A )
| ( v10_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(225,plain,
( ( ! [A: $i] :
( ~ ( v1_finsub_1 @ A )
| ~ ( v3_finsub_1 @ A )
| ( v4_finsub_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(226,plain,
( ( ! [A: $i] :
( ~ ( v4_finsub_1 @ A )
| ( v1_finsub_1 @ A ) )
& ! [A: $i] :
( ~ ( v4_finsub_1 @ A )
| ( v3_finsub_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[135]) ).
thf(227,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_finset_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[136]) ).
thf(228,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v5_membered @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[137]) ).
thf(229,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[138]) ).
thf(230,plain,
( ( ! [A: $i] :
( ~ ( l2_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(231,plain,
( ( ! [A: $i] :
( ~ ( l1_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(232,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ A @ B ) )
& ! [B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_relset_1 @ C @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[143]) ).
thf(233,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK13_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(234,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK14_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[145]) ).
thf(235,plain,
( ( l2_lattices @ sK15_A )
= $true ),
inference(extcnf_combined,[status(esa)],[146]) ).
thf(236,plain,
( ( l1_struct_0 @ sK16_A )
= $true ),
inference(extcnf_combined,[status(esa)],[147]) ).
thf(237,plain,
( ( l1_lattices @ sK17_A )
= $true ),
inference(extcnf_combined,[status(esa)],[148]) ).
thf(238,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[149]) ).
thf(239,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK18_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK18_B @ A ) )
& ( v1_finset_1 @ ( sK18_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[150]) ).
thf(240,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK19_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK19_B @ A ) )
& ( v1_finset_1 @ ( sK19_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[151]) ).
thf(241,plain,
( ( ~ ( v1_xboole_0 @ sK20_A )
& ( v1_membered @ sK20_A )
& ( v2_membered @ sK20_A )
& ( v3_membered @ sK20_A )
& ( v4_membered @ sK20_A )
& ( v5_membered @ sK20_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(242,plain,
( ( ( l3_lattices @ sK21_A )
& ~ ( v3_struct_0 @ sK21_A )
& ( v4_lattices @ sK21_A )
& ( v5_lattices @ sK21_A )
& ( v6_lattices @ sK21_A )
& ( v7_lattices @ sK21_A )
& ( v8_lattices @ sK21_A )
& ( v9_lattices @ sK21_A )
& ( v10_lattices @ sK21_A )
& ( v11_lattices @ sK21_A )
& ( v12_lattices @ sK21_A )
& ( v13_lattices @ sK21_A )
& ( v14_lattices @ sK21_A )
& ( v15_lattices @ sK21_A )
& ( v16_lattices @ sK21_A )
& ( v17_lattices @ sK21_A )
& ~ ( v3_realset2 @ sK21_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[153]) ).
thf(243,plain,
( ( ~ ( v1_xboole_0 @ sK22_A )
& ( v1_finset_1 @ sK22_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[154]) ).
thf(244,plain,
( ( ( v1_membered @ k1_xboole_0 )
& ( v1_xboole_0 @ k1_xboole_0 )
& ( v2_membered @ k1_xboole_0 )
& ( v3_membered @ k1_xboole_0 )
& ( v4_membered @ k1_xboole_0 )
& ( v5_membered @ k1_xboole_0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(245,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_finset_1 @ A )
| ~ ( v1_finset_1 @ B )
| ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[156]) ).
thf(246,plain,
( ( ! [A: $i] :
( ~ ( v2_membered @ A )
| ( v1_membered @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[157]) ).
thf(247,plain,
( ( ! [A: $i] :
( ~ ( v3_membered @ A )
| ( v2_membered @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[158]) ).
thf(248,plain,
( ( ! [A: $i] :
( ~ ( v4_membered @ A )
| ( v3_membered @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[159]) ).
thf(249,plain,
( ( ! [A: $i] :
( ~ ( v1_finset_1 @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_finset_1 @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[160]) ).
thf(250,plain,
( ( ! [A: $i] :
( ~ ( v5_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v3_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v4_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v5_membered @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[161]) ).
thf(251,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
| ( v1_relat_1 @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[162]) ).
thf(252,plain,
( ( ! [A: $i] :
( ~ ( v5_membered @ A )
| ( v4_membered @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(253,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[164]) ).
thf(254,plain,
( ( ! [A: $i] :
( ~ ( v4_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v3_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v4_membered @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[165]) ).
thf(255,plain,
( ( ! [A: $i] :
( ~ ( v3_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v3_membered @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[166]) ).
thf(256,plain,
( ( ! [A: $i] :
( ~ ( v2_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[167]) ).
thf(257,plain,
( ( ! [A: $i] :
( ~ ( v1_membered @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[168]) ).
thf(258,plain,
( ( ! [A: $i] :
( ~ ( v5_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v4_ordinal2 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_int_1 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[169]) ).
thf(259,plain,
( ( ! [A: $i] :
( ~ ( v4_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_int_1 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[170]) ).
thf(260,plain,
( ( ! [A: $i] :
( ~ ( v3_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[171]) ).
thf(261,plain,
( ( ! [A: $i] :
( ~ ( v2_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[172]) ).
thf(262,plain,
( ( ! [A: $i] :
( ~ ( v1_membered @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[173]) ).
thf(263,plain,
$true = $true,
inference(copy,[status(thm)],[175]) ).
thf(264,plain,
$true = $true,
inference(copy,[status(thm)],[174]) ).
thf(265,plain,
( ( ! [A: $i] :
( ~ ( v1_membered @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(266,plain,
( ( ! [A: $i] :
( ~ ( v2_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(267,plain,
( ( ! [A: $i] :
( ~ ( v3_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(268,plain,
( ( ! [A: $i] :
( ~ ( v4_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_int_1 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(269,plain,
( ( ! [A: $i] :
( ~ ( v5_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xcmplx_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v4_ordinal2 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_xreal_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_int_1 @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ A )
| ( v1_rat_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(270,plain,
( ( ! [A: $i] :
( ~ ( v1_membered @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(271,plain,
( ( ! [A: $i] :
( ~ ( v2_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(272,plain,
( ( ! [A: $i] :
( ~ ( v3_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v3_membered @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(273,plain,
( ( ! [A: $i] :
( ~ ( v4_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v3_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v4_membered @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(274,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(275,plain,
( ( ! [A: $i] :
( ~ ( v5_membered @ A )
| ( v4_membered @ A ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(276,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
| ( v1_relat_1 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(277,plain,
( ( ! [A: $i] :
( ~ ( v5_membered @ A )
| ( ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v2_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v3_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v4_membered @ B ) )
& ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v5_membered @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(278,plain,
( ( ! [A: $i] :
( ~ ( v1_finset_1 @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
| ( v1_finset_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(279,plain,
( ( ! [A: $i] :
( ~ ( v4_membered @ A )
| ( v3_membered @ A ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(280,plain,
( ( ! [A: $i] :
( ~ ( v3_membered @ A )
| ( v2_membered @ A ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(281,plain,
( ( ! [A: $i] :
( ~ ( v2_membered @ A )
| ( v1_membered @ A ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(282,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_finset_1 @ A )
| ~ ( v1_finset_1 @ B )
| ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(283,plain,
( ( ( v1_membered @ k1_xboole_0 )
& ( v1_xboole_0 @ k1_xboole_0 )
& ( v2_membered @ k1_xboole_0 )
& ( v3_membered @ k1_xboole_0 )
& ( v4_membered @ k1_xboole_0 )
& ( v5_membered @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(284,plain,
( ( ~ ( v1_xboole_0 @ sK22_A )
& ( v1_finset_1 @ sK22_A ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(285,plain,
( ( ( l3_lattices @ sK21_A )
& ~ ( v3_struct_0 @ sK21_A )
& ( v4_lattices @ sK21_A )
& ( v5_lattices @ sK21_A )
& ( v6_lattices @ sK21_A )
& ( v7_lattices @ sK21_A )
& ( v8_lattices @ sK21_A )
& ( v9_lattices @ sK21_A )
& ( v10_lattices @ sK21_A )
& ( v11_lattices @ sK21_A )
& ( v12_lattices @ sK21_A )
& ( v13_lattices @ sK21_A )
& ( v14_lattices @ sK21_A )
& ( v15_lattices @ sK21_A )
& ( v16_lattices @ sK21_A )
& ( v17_lattices @ sK21_A )
& ~ ( v3_realset2 @ sK21_A ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(286,plain,
( ( ~ ( v1_xboole_0 @ sK20_A )
& ( v1_membered @ sK20_A )
& ( v2_membered @ sK20_A )
& ( v3_membered @ sK20_A )
& ( v4_membered @ sK20_A )
& ( v5_membered @ sK20_A ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(287,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK19_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK19_B @ A ) )
& ( v1_finset_1 @ ( sK19_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(288,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK18_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK18_B @ A ) )
& ( v1_finset_1 @ ( sK18_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(289,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(290,plain,
( ( l1_lattices @ sK17_A )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(291,plain,
( ( l1_struct_0 @ sK16_A )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(292,plain,
( ( l2_lattices @ sK15_A )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(293,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK14_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(294,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK13_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(295,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ A @ B ) )
& ! [B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_relset_1 @ C @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(296,plain,
( ( ! [A: $i] :
( ~ ( l1_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(297,plain,
$true = $true,
inference(copy,[status(thm)],[141]) ).
thf(298,plain,
( ( ! [A: $i] :
( ~ ( l2_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(299,plain,
$true = $true,
inference(copy,[status(thm)],[139]) ).
thf(300,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(301,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v2_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v3_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v4_membered @ A ) )
& ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v5_membered @ A ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(302,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_finset_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(303,plain,
( ( ! [A: $i] :
( ~ ( v4_finsub_1 @ A )
| ( v1_finsub_1 @ A ) )
& ! [A: $i] :
( ~ ( v4_finsub_1 @ A )
| ( v3_finsub_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(304,plain,
( ( ! [A: $i] :
( ~ ( v1_finsub_1 @ A )
| ~ ( v3_finsub_1 @ A )
| ( v4_finsub_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(305,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v4_lattices @ A )
| ~ ( v5_lattices @ A )
| ~ ( v6_lattices @ A )
| ~ ( v7_lattices @ A )
| ~ ( v8_lattices @ A )
| ~ ( v9_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v4_lattices @ A )
| ~ ( v5_lattices @ A )
| ~ ( v6_lattices @ A )
| ~ ( v7_lattices @ A )
| ~ ( v8_lattices @ A )
| ~ ( v9_lattices @ A )
| ( v10_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(306,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v13_lattices @ A )
| ~ ( v14_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v13_lattices @ A )
| ~ ( v14_lattices @ A )
| ( v15_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(307,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v15_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v15_lattices @ A )
| ( v13_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v15_lattices @ A )
| ( v14_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(308,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(309,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( v1_xboole_0 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[220]) ).
thf(310,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v11_lattices @ A )
| ~ ( v15_lattices @ A )
| ~ ( v16_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v11_lattices @ A )
| ~ ( v15_lattices @ A )
| ~ ( v16_lattices @ A )
| ( v17_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[219]) ).
thf(311,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v4_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v5_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v6_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v7_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v8_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v9_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v10_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v11_lattices @ A )
| ( v12_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(312,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(313,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK12_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK12_C @ B @ A ) )
& ( v1_funct_1 @ ( sK12_C @ B @ A ) )
& ( v1_funct_2 @ ( sK12_C @ B @ A ) @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(314,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK11_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK11_C @ B @ A ) )
& ( v1_funct_1 @ ( sK11_C @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(315,plain,
( ( ( l1_struct_0 @ sK10_A )
& ~ ( v3_struct_0 @ sK10_A ) )
= $true ),
inference(copy,[status(thm)],[214]) ).
thf(316,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK9_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK9_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(317,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(318,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(319,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(320,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(321,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( r2_hidden @ ( sK8_C @ B @ A ) @ A )
| ~ ( r2_hidden @ ( sK8_C @ B @ A ) @ B ) )
& ( ( r2_hidden @ ( sK8_C @ B @ A ) @ A )
| ( r2_hidden @ ( sK8_C @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(322,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( v17_lattices @ B )
| ( v3_realset2 @ B )
| ~ ( l3_lattices @ B )
| ! [C: $i] :
( ( A != C )
| ~ ( m1_filter_0 @ C @ B )
| ~ ( v1_filter_0 @ C @ B ) )
| ( r2_hidden @ A @ ( a_1_1_lopclset @ B ) ) )
& ! [A: $i,B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( v17_lattices @ B )
| ( v3_realset2 @ B )
| ~ ( l3_lattices @ B )
| ~ ( r2_hidden @ A @ ( a_1_1_lopclset @ B ) )
| ( ( A
= ( sK7_C @ B @ A ) )
& ( m1_filter_0 @ ( sK7_C @ B @ A ) @ B )
& ( v1_filter_0 @ ( sK7_C @ B @ A ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(323,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(324,plain,
( ( l3_lattices @ sK6_A )
= $true ),
inference(copy,[status(thm)],[205]) ).
thf(325,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( m1_filter_0 @ ( sK5_B @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(326,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK4_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(327,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( m1_subset_1 @ D @ A )
| ( ( k8_funct_2 @ A @ B @ C @ D )
= ( k1_funct_1 @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(328,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( ( k9_lopclset @ A )
= ( k8_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(329,plain,
$true = $true,
inference(copy,[status(thm)],[109]) ).
thf(330,plain,
$true = $true,
inference(copy,[status(thm)],[108]) ).
thf(331,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( m1_subset_1 @ ( k7_lopclset @ A ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(332,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( m1_subset_1 @ D @ A )
| ( m1_subset_1 @ ( k8_funct_2 @ A @ B @ C @ D ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(333,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_funct_1 @ ( k8_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_relat_1 @ ( k8_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(334,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_funct_1 @ ( k9_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_funct_2 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( m2_relset_1 @ ( k9_lopclset @ A ) @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(335,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l1_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l2_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(336,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ! [B: $i] :
( ~ ( m1_filter_0 @ B @ A )
| ~ ( v1_xboole_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_filter_0 @ B @ A )
| ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(337,plain,
$true = $true,
inference(copy,[status(thm)],[101]) ).
thf(338,plain,
$true = $true,
inference(copy,[status(thm)],[100]) ).
thf(339,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v4_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v5_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v6_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v7_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v8_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ( v9_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(340,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ~ ( v3_struct_0 @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v11_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v13_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v14_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v15_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_struct_0 @ A )
| ~ ( v17_lattices @ A )
| ( v16_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(341,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) )
& ! [A: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ! [A: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ A ) )
& ! [A: $i] : ( v4_finsub_1 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(342,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v1_xboole_0 @ ( k7_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(343,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(344,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
| ( r1_tarski @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( r1_tarski @ A @ B )
| ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(345,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(346,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(347,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( ( k7_lopclset @ A )
= ( a_1_1_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(348,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
| ( ! [C: $i] :
( ~ ( m1_filter_0 @ C @ A )
| ~ ( r2_hidden @ B @ C )
| ~ ( v1_filter_0 @ C @ A )
| ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) ) )
& ! [C: $i] :
( ~ ( m1_filter_0 @ C @ A )
| ~ ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) )
| ( r2_hidden @ B @ C ) )
& ! [C: $i] :
( ~ ( m1_filter_0 @ C @ A )
| ~ ( r2_hidden @ C @ ( k1_funct_1 @ ( k8_lopclset @ A ) @ B ) )
| ( v1_filter_0 @ C @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(349,plain,
( ( l3_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(350,plain,
( ( ~ ( v3_realset2 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(351,plain,
( ( v17_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(352,plain,
( ( v10_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(353,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(354,plain,
( ( ( m1_subset_1 @ sK2_SY141 @ ( u1_struct_0 @ sK1_A ) )
& ( m1_filter_0 @ sK3_SY143 @ sK1_A )
& ( v1_filter_0 @ sK3_SY143 @ sK1_A )
& ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) )
& ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(355,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( m1_filter_0 @ SX1 @ SX0 )
| ~ ( v1_xboole_0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_filter_0 @ SX1 @ SX0 )
| ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(356,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK19_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_B @ SX0 ) ) )
| ~ ( v1_finset_1 @ ( sK19_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(357,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v12_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(358,plain,
( ( ! [SX0: $i] :
( ~ ( v3_membered @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xcmplx_0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xreal_0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_rat_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(359,plain,
( ( ! [SX0: $i] :
( ~ ( v4_membered @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xcmplx_0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xreal_0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_int_1 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_rat_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(360,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ! [SX2: $i] :
( ( SX0 != SX2 )
| ~ ( m1_filter_0 @ SX2 @ SX1 )
| ~ ( v1_filter_0 @ SX2 @ SX1 ) )
| ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ~ ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) )
| ~ ( ~ ~ ( ( SX0
!= ( sK7_C @ SX1 @ SX0 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(361,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_struct_0 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SX0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(362,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK18_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ ( sK18_B @ SX0 ) ) )
| ~ ( v1_finset_1 @ ( sK18_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(363,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX0: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX0: $i] : ( v4_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(364,plain,
( ( ! [SX0: $i] :
( ~ ( v2_membered @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xcmplx_0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xreal_0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(365,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK22_A )
| ~ ( v1_finset_1 @ sK22_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(366,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_xboole_0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_xboole_0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_partfun1 @ SX2 @ SX0 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(367,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_partfun1 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_partfun1 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(368,plain,
( ( ! [SX0: $i] :
( ~ ( v5_membered @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xcmplx_0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v4_ordinal2 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xreal_0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_int_1 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_rat_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(369,plain,
( ( ! [SX0: $i] :
( ~ ( v2_membered @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v1_membered @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v2_membered @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(370,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(371,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(372,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(373,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v4_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v5_membered @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(374,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v16_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(375,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) )
| ~ ( v4_membered @ k1_xboole_0 ) )
| ~ ( v5_membered @ k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(376,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( m1_filter_0 @ SX2 @ SX0 )
| ~ ( r2_hidden @ SX1 @ SX2 )
| ~ ( v1_filter_0 @ SX2 @ SX0 )
| ( r2_hidden @ SX2 @ ( k1_funct_1 @ ( k8_lopclset @ SX0 ) @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( m1_filter_0 @ SX2 @ SX0 )
| ~ ( r2_hidden @ SX2 @ ( k1_funct_1 @ ( k8_lopclset @ SX0 ) @ SX1 ) )
| ( r2_hidden @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_filter_0 @ SX2 @ SX0 )
| ~ ( r2_hidden @ SX2 @ ( k1_funct_1 @ ( k8_lopclset @ SX0 ) @ SX1 ) )
| ( v1_filter_0 @ SX2 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(377,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v1_xboole_0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_partfun1 @ SX2 @ SX0 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(378,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK11_C @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( v1_relat_1 @ ( sK11_C @ SX1 @ SX0 ) ) )
| ~ ( v1_funct_1 @ ( sK11_C @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(379,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( r2_hidden @ ( sK8_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( r2_hidden @ ( sK8_C @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( r2_hidden @ ( sK8_C @ SX1 @ SX0 ) @ SX0 )
| ( r2_hidden @ ( sK8_C @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(380,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(381,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(382,plain,
( ( ! [SX0: $i] :
( ~ ( v4_membered @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v1_membered @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v2_membered @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v3_membered @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v4_membered @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(383,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) )
| ~ ( v17_lattices @ sK21_A ) )
| ~ ~ ( v3_realset2 @ sK21_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(384,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v1_finsub_1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v3_finsub_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(385,plain,
( ( ! [SX0: $i] :
( ~ ( v5_membered @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v1_membered @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v2_membered @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v3_membered @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v4_membered @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v5_membered @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(386,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(387,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ( v17_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(388,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK10_A )
| ~ ~ ( v3_struct_0 @ sK10_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(389,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) )
| ~ ( v4_membered @ sK20_A ) )
| ~ ( v5_membered @ sK20_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(390,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k9_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_2 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( m2_relset_1 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(391,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_relset_1 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(392,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( v1_relat_1 @ ( sK12_C @ SX1 @ SX0 ) ) )
| ~ ( v1_funct_1 @ ( sK12_C @ SX1 @ SX0 ) ) )
| ~ ( v1_funct_2 @ ( sK12_C @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(393,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(394,plain,
( ( ! [SX0: $i] :
( ~ ( v3_membered @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v1_membered @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v2_membered @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v3_membered @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(395,plain,
( ( ~ ( ~ ( m1_subset_1 @ sK2_SY141 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( ~ ( m1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(396,plain,
! [SV1: $i] :
( ( ~ ( v1_membered @ SV1 )
| ! [SY144: $i] :
( ~ ( m1_subset_1 @ SY144 @ SV1 )
| ( v1_xcmplx_0 @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(397,plain,
! [SV2: $i] :
( ( ~ ( v1_membered @ SV2 )
| ! [SY145: $i] :
( ~ ( m1_subset_1 @ SY145 @ ( k1_zfmisc_1 @ SV2 ) )
| ( v1_membered @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(398,plain,
! [SV3: $i] :
( ( ~ ( v5_membered @ SV3 )
| ( v4_membered @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(399,plain,
! [SV4: $i] :
( ( ! [SY146: $i,SY147: $i] :
( ~ ( m1_subset_1 @ SY147 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV4 @ SY146 ) ) )
| ( v1_relat_1 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(400,plain,
! [SV5: $i] :
( ( ~ ( v1_finset_1 @ SV5 )
| ! [SY148: $i] :
( ~ ( m1_subset_1 @ SY148 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_finset_1 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(401,plain,
! [SV6: $i] :
( ( ~ ( v4_membered @ SV6 )
| ( v3_membered @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(402,plain,
! [SV7: $i] :
( ( ~ ( v3_membered @ SV7 )
| ( v2_membered @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(403,plain,
! [SV8: $i] :
( ( ~ ( v2_membered @ SV8 )
| ( v1_membered @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(404,plain,
! [SV9: $i] :
( ( ! [SY149: $i] :
( ~ ( v1_finset_1 @ SV9 )
| ~ ( v1_finset_1 @ SY149 )
| ( v1_finset_1 @ ( k2_zfmisc_1 @ SV9 @ SY149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(405,plain,
! [SV10: $i] :
( ( r1_tarski @ SV10 @ SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(406,plain,
! [SV11: $i] :
( ( ! [SY150: $i] : ( m1_relset_1 @ ( sK14_C @ SY150 @ SV11 ) @ SV11 @ SY150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(407,plain,
! [SV12: $i] :
( ( ! [SY151: $i] : ( m2_relset_1 @ ( sK13_C @ SY151 @ SV12 ) @ SV12 @ SY151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(408,plain,
! [SV13: $i] :
( ( ~ ( l1_lattices @ SV13 )
| ( l1_struct_0 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(409,plain,
! [SV14: $i] :
( ( ~ ( l2_lattices @ SV14 )
| ( l1_struct_0 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(410,plain,
! [SV15: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ~ ( m2_relset_1 @ SY153 @ SV15 @ SY152 )
| ( m1_subset_1 @ SY153 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SY152 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(411,plain,
! [SV16: $i] :
( ( ~ ( v1_xboole_0 @ SV16 )
| ( v1_finset_1 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(412,plain,
! [SV17: $i] :
( ( ~ ( v1_finsub_1 @ SV17 )
| ~ ( v3_finsub_1 @ SV17 )
| ( v4_finsub_1 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(413,plain,
! [SV18: $i] :
( ( ( v3_struct_0 @ SV18 )
| ~ ( l1_struct_0 @ SV18 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(414,plain,
! [SV19: $i] :
( ( ! [SY154: $i] :
( ~ ( m1_subset_1 @ SV19 @ SY154 )
| ( r2_hidden @ SV19 @ SY154 )
| ( v1_xboole_0 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(415,plain,
! [SV20: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ~ ( m1_subset_1 @ SY155 @ ( k1_zfmisc_1 @ SY156 ) )
| ~ ( r2_hidden @ SV20 @ SY155 )
| ~ ( v1_xboole_0 @ SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(416,plain,
! [SV21: $i] :
( ( ~ ( v1_xboole_0 @ SV21 )
| ( SV21 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(417,plain,
! [SV22: $i] :
( ( ! [SY157: $i] :
( ( SV22 = SY157 )
| ~ ( v1_xboole_0 @ SV22 )
| ~ ( v1_xboole_0 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(418,plain,
! [SV23: $i] :
( ( ! [SY158: $i] :
( ~ ( r2_hidden @ SV23 @ SY158 )
| ~ ( r2_hidden @ SY158 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(419,plain,
! [SV24: $i] :
( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( l3_lattices @ SV24 )
| ( m1_filter_0 @ ( sK5_B @ SV24 ) @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(420,plain,
! [SV25: $i] :
( ( m1_subset_1 @ ( sK4_B @ SV25 ) @ SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(421,plain,
! [SV26: $i] :
( ( ! [SY159: $i,SY160: $i,SY161: $i] :
( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SY160 )
| ~ ( v1_funct_2 @ SY160 @ SV26 @ SY159 )
| ~ ( m1_relset_1 @ SY160 @ SV26 @ SY159 )
| ~ ( m1_subset_1 @ SY161 @ SV26 )
| ( ( k8_funct_2 @ SV26 @ SY159 @ SY160 @ SY161 )
= ( k1_funct_1 @ SY160 @ SY161 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(422,plain,
! [SV27: $i] :
( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 )
| ( v3_realset2 @ SV27 )
| ~ ( l3_lattices @ SV27 )
| ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(423,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 )
| ( v3_realset2 @ SV28 )
| ~ ( l3_lattices @ SV28 )
| ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(424,plain,
! [SV29: $i] :
( ( ! [SY162: $i,SY163: $i,SY164: $i] :
( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SY163 )
| ~ ( v1_funct_2 @ SY163 @ SV29 @ SY162 )
| ~ ( m1_relset_1 @ SY163 @ SV29 @ SY162 )
| ~ ( m1_subset_1 @ SY164 @ SV29 )
| ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SY162 @ SY163 @ SY164 ) @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(425,plain,
! [SV30: $i] :
( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 )
| ( v3_realset2 @ SV30 )
| ~ ( l3_lattices @ SV30 )
| ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(426,plain,
! [SV31: $i] :
( ( ! [SY165: $i] :
( ~ ( r2_hidden @ SV31 @ SY165 )
| ( m1_subset_1 @ SV31 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(427,plain,
! [SV32: $i] :
( ( ! [SY166: $i,SY167: $i] :
( ~ ( m1_subset_1 @ SY166 @ ( k1_zfmisc_1 @ SY167 ) )
| ~ ( r2_hidden @ SV32 @ SY166 )
| ( m1_subset_1 @ SV32 @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(428,plain,
! [SV33: $i] :
( ( ! [SY168: $i] :
( ~ ( r2_hidden @ SV33 @ SY168 )
| ~ ( v1_xboole_0 @ SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(429,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
| ~ ( v10_lattices @ SV34 )
| ~ ( v17_lattices @ SV34 )
| ( v3_realset2 @ SV34 )
| ~ ( l3_lattices @ SV34 )
| ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(430,plain,
( ( v3_realset2 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(431,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(432,plain,
! [SV35: $i] :
( ( ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 )
| ~ ( l3_lattices @ SV35 )
| ~ ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) )
| ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(433,plain,
! [SV36: $i] :
( ( ( v1_xboole_0 @ SV36 )
| ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) )
| ~ ( v1_finset_1 @ ( sK19_B @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(434,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v12_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(435,plain,
! [SV37: $i] :
( ( ~ ( v3_membered @ SV37 )
| ~ ( ~ ~ ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) )
| ~ ! [SY173: $i] :
( ~ ( m1_subset_1 @ SY173 @ SV37 )
| ( v1_rat_1 @ SY173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(436,plain,
! [SV38: $i] :
( ( ~ ( v4_membered @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
| ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) )
| ~ ! [SY177: $i] :
( ~ ( m1_subset_1 @ SY177 @ SV38 )
| ( v1_rat_1 @ SY177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(437,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ! [SX2: $i] :
( ( SX0 != SX2 )
| ~ ( m1_filter_0 @ SX2 @ SX1 )
| ~ ( v1_filter_0 @ SX2 @ SX1 ) )
| ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ~ ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) )
| ~ ( ~ ~ ( ( SX0
!= ( sK7_C @ SX1 @ SX0 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(438,plain,
! [SV39: $i] :
( ( ( v3_struct_0 @ SV39 )
| ~ ( l1_struct_0 @ SV39 )
| ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SV39 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV39 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(439,plain,
! [SV40: $i] :
( ( ( v1_xboole_0 @ SV40 )
| ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) )
| ~ ( v1_finset_1 @ ( sK18_B @ SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(440,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX0: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX0: $i] : ( v4_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(441,plain,
! [SV41: $i] :
( ( ~ ( v2_membered @ SV41 )
| ~ ( ~ ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ SV41 )
| ( v1_xcmplx_0 @ SY178 ) )
| ~ ! [SY179: $i] :
( ~ ( m1_subset_1 @ SY179 @ SV41 )
| ( v1_xreal_0 @ SY179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(442,plain,
( ( ~ ~ ( v1_xboole_0 @ sK22_A )
| ~ ( v1_finset_1 @ sK22_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(443,plain,
! [SV42: $i] :
( ( ! [SY180: $i] :
( ( v1_xboole_0 @ SV42 )
| ( v1_xboole_0 @ SY180 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY181: $i] :
( ~ ( m1_relset_1 @ SY181 @ SV42 @ SY180 )
| ~ ( v1_funct_1 @ SY181 )
| ~ ( v1_funct_2 @ SY181 @ SV42 @ SY180 )
| ( v1_funct_1 @ SY181 ) )
| ~ ! [SY182: $i] :
( ~ ( m1_relset_1 @ SY182 @ SV42 @ SY180 )
| ~ ( v1_funct_1 @ SY182 )
| ~ ( v1_funct_2 @ SY182 @ SV42 @ SY180 )
| ~ ( v1_xboole_0 @ SY182 ) ) )
| ~ ! [SY183: $i] :
( ~ ( m1_relset_1 @ SY183 @ SV42 @ SY180 )
| ~ ( v1_funct_1 @ SY183 )
| ~ ( v1_funct_2 @ SY183 @ SV42 @ SY180 )
| ( v1_partfun1 @ SY183 @ SV42 @ SY180 ) ) )
| ~ ! [SY184: $i] :
( ~ ( m1_relset_1 @ SY184 @ SV42 @ SY180 )
| ~ ( v1_funct_1 @ SY184 )
| ~ ( v1_funct_2 @ SY184 @ SV42 @ SY180 )
| ( v1_funct_2 @ SY184 @ SV42 @ SY180 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(444,plain,
! [SV43: $i] :
( ( ~ ( ~ ! [SY185: $i,SY186: $i] :
( ~ ( m1_relset_1 @ SY186 @ SV43 @ SY185 )
| ~ ( v1_funct_1 @ SY186 )
| ~ ( v1_partfun1 @ SY186 @ SV43 @ SY185 )
| ( v1_funct_1 @ SY186 ) )
| ~ ! [SY187: $i,SY188: $i] :
( ~ ( m1_relset_1 @ SY188 @ SV43 @ SY187 )
| ~ ( v1_funct_1 @ SY188 )
| ~ ( v1_partfun1 @ SY188 @ SV43 @ SY187 )
| ( v1_funct_2 @ SY188 @ SV43 @ SY187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(445,plain,
! [SV44: $i] :
( ( ~ ( v5_membered @ SV44 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
| ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) )
| ~ ! [SY193: $i] :
( ~ ( m1_subset_1 @ SY193 @ SV44 )
| ( v1_rat_1 @ SY193 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(446,plain,
! [SV45: $i] :
( ( ~ ( v2_membered @ SV45 )
| ~ ( ~ ! [SY194: $i] :
( ~ ( m1_subset_1 @ SY194 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v1_membered @ SY194 ) )
| ~ ! [SY195: $i] :
( ~ ( m1_subset_1 @ SY195 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v2_membered @ SY195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(447,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(448,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(449,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(450,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v4_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v5_membered @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(451,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v16_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(452,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) )
| ~ ( v4_membered @ k1_xboole_0 ) )
| ~ ( v5_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(453,plain,
! [SV46: $i] :
( ( ( v3_struct_0 @ SV46 )
| ~ ( v10_lattices @ SV46 )
| ~ ( v17_lattices @ SV46 )
| ( v3_realset2 @ SV46 )
| ~ ( l3_lattices @ SV46 )
| ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(454,plain,
! [SV47: $i] :
( ( ! [SY200: $i] :
( ( v1_xboole_0 @ SY200 )
| ~ ( ~ ~ ( ~ ! [SY201: $i] :
( ~ ( m1_relset_1 @ SY201 @ SV47 @ SY200 )
| ~ ( v1_funct_1 @ SY201 )
| ~ ( v1_funct_2 @ SY201 @ SV47 @ SY200 )
| ( v1_funct_1 @ SY201 ) )
| ~ ! [SY202: $i] :
( ~ ( m1_relset_1 @ SY202 @ SV47 @ SY200 )
| ~ ( v1_funct_1 @ SY202 )
| ~ ( v1_funct_2 @ SY202 @ SV47 @ SY200 )
| ( v1_partfun1 @ SY202 @ SV47 @ SY200 ) ) )
| ~ ! [SY203: $i] :
( ~ ( m1_relset_1 @ SY203 @ SV47 @ SY200 )
| ~ ( v1_funct_1 @ SY203 )
| ~ ( v1_funct_2 @ SY203 @ SV47 @ SY200 )
| ( v1_funct_2 @ SY203 @ SV47 @ SY200 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(455,plain,
! [SV48: $i] :
( ( ! [SY204: $i] :
~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK11_C @ SY204 @ SV48 ) @ SV48 @ SY204 )
| ~ ( v1_relat_1 @ ( sK11_C @ SY204 @ SV48 ) ) )
| ~ ( v1_funct_1 @ ( sK11_C @ SY204 @ SV48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(456,plain,
! [SV49: $i] :
( ( ! [SY205: $i] :
( ~ ( ~ ( ~ ( r2_hidden @ ( sK8_C @ SY205 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK8_C @ SY205 @ SV49 ) @ SY205 ) )
| ~ ( ( r2_hidden @ ( sK8_C @ SY205 @ SV49 ) @ SV49 )
| ( r2_hidden @ ( sK8_C @ SY205 @ SV49 ) @ SY205 ) ) )
| ( SV49 = SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(457,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(458,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(459,plain,
! [SV50: $i] :
( ( ~ ( v4_membered @ SV50 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
| ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) )
| ~ ! [SY209: $i] :
( ~ ( m1_subset_1 @ SY209 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v4_membered @ SY209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(460,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) )
| ~ ( v17_lattices @ sK21_A ) )
| ~ ~ ( v3_realset2 @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(461,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v1_finsub_1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v3_finsub_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(462,plain,
! [SV51: $i] :
( ( ~ ( v5_membered @ SV51 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
| ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) )
| ~ ! [SY214: $i] :
( ~ ( m1_subset_1 @ SY214 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v5_membered @ SY214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(463,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(464,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ( v17_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(465,plain,
( ( ~ ( l1_struct_0 @ sK10_A )
| ~ ~ ( v3_struct_0 @ sK10_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(466,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) )
| ~ ( v4_membered @ sK20_A ) )
| ~ ( v5_membered @ sK20_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(467,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k9_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_2 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( m2_relset_1 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(468,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY215: $i,SY216: $i] :
( ~ ( m1_relset_1 @ SY216 @ SV52 @ SY215 )
| ( m2_relset_1 @ SY216 @ SV52 @ SY215 ) )
| ~ ! [SY217: $i,SY218: $i] :
( ~ ( m2_relset_1 @ SY218 @ SV52 @ SY217 )
| ( m1_relset_1 @ SY218 @ SV52 @ SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(469,plain,
! [SV53: $i] :
( ( ! [SY219: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SY219 @ SV53 ) @ SV53 @ SY219 )
| ~ ( v1_relat_1 @ ( sK12_C @ SY219 @ SV53 ) ) )
| ~ ( v1_funct_1 @ ( sK12_C @ SY219 @ SV53 ) ) )
| ~ ( v1_funct_2 @ ( sK12_C @ SY219 @ SV53 ) @ SV53 @ SY219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(470,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(471,plain,
! [SV54: $i] :
( ( ~ ( v3_membered @ SV54 )
| ~ ( ~ ~ ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) )
| ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) )
| ~ ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v3_membered @ SY222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(472,plain,
( ( ~ ( m1_subset_1 @ sK2_SY141 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( ~ ( m1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(473,plain,
! [SV1: $i] :
( ( ( ~ ( v1_membered @ SV1 ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( m1_subset_1 @ SY144 @ SV1 )
| ( v1_xcmplx_0 @ SY144 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(474,plain,
! [SV2: $i] :
( ( ( ~ ( v1_membered @ SV2 ) )
= $true )
| ( ( ! [SY145: $i] :
( ~ ( m1_subset_1 @ SY145 @ ( k1_zfmisc_1 @ SV2 ) )
| ( v1_membered @ SY145 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(475,plain,
! [SV3: $i] :
( ( ( ~ ( v5_membered @ SV3 ) )
= $true )
| ( ( v4_membered @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(476,plain,
! [SV55: $i,SV4: $i] :
( ( ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV4 @ SV55 ) ) )
| ( v1_relat_1 @ SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(477,plain,
! [SV5: $i] :
( ( ( ~ ( v1_finset_1 @ SV5 ) )
= $true )
| ( ( ! [SY148: $i] :
( ~ ( m1_subset_1 @ SY148 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_finset_1 @ SY148 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(478,plain,
! [SV6: $i] :
( ( ( ~ ( v4_membered @ SV6 ) )
= $true )
| ( ( v3_membered @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(479,plain,
! [SV7: $i] :
( ( ( ~ ( v3_membered @ SV7 ) )
= $true )
| ( ( v2_membered @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(480,plain,
! [SV8: $i] :
( ( ( ~ ( v2_membered @ SV8 ) )
= $true )
| ( ( v1_membered @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(481,plain,
! [SV56: $i,SV9: $i] :
( ( ~ ( v1_finset_1 @ SV9 )
| ~ ( v1_finset_1 @ SV56 )
| ( v1_finset_1 @ ( k2_zfmisc_1 @ SV9 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(482,plain,
! [SV11: $i,SV57: $i] :
( ( m1_relset_1 @ ( sK14_C @ SV57 @ SV11 ) @ SV11 @ SV57 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(483,plain,
! [SV12: $i,SV58: $i] :
( ( m2_relset_1 @ ( sK13_C @ SV58 @ SV12 ) @ SV12 @ SV58 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(484,plain,
! [SV13: $i] :
( ( ( ~ ( l1_lattices @ SV13 ) )
= $true )
| ( ( l1_struct_0 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(485,plain,
! [SV14: $i] :
( ( ( ~ ( l2_lattices @ SV14 ) )
= $true )
| ( ( l1_struct_0 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(486,plain,
! [SV59: $i,SV15: $i] :
( ( ! [SY224: $i] :
( ~ ( m2_relset_1 @ SY224 @ SV15 @ SV59 )
| ( m1_subset_1 @ SY224 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV59 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(487,plain,
! [SV16: $i] :
( ( ( ~ ( v1_xboole_0 @ SV16 ) )
= $true )
| ( ( v1_finset_1 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(488,plain,
! [SV17: $i] :
( ( ( ~ ( v1_finsub_1 @ SV17 )
| ~ ( v3_finsub_1 @ SV17 ) )
= $true )
| ( ( v4_finsub_1 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(489,plain,
! [SV18: $i] :
( ( ( ( v3_struct_0 @ SV18 )
| ~ ( l1_struct_0 @ SV18 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(490,plain,
! [SV60: $i,SV19: $i] :
( ( ~ ( m1_subset_1 @ SV19 @ SV60 )
| ( r2_hidden @ SV19 @ SV60 )
| ( v1_xboole_0 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(491,plain,
! [SV20: $i,SV61: $i] :
( ( ! [SY225: $i] :
( ~ ( m1_subset_1 @ SV61 @ ( k1_zfmisc_1 @ SY225 ) )
| ~ ( r2_hidden @ SV20 @ SV61 )
| ~ ( v1_xboole_0 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(492,plain,
! [SV21: $i] :
( ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true )
| ( ( SV21 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(493,plain,
! [SV62: $i,SV22: $i] :
( ( ( SV22 = SV62 )
| ~ ( v1_xboole_0 @ SV22 )
| ~ ( v1_xboole_0 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(494,plain,
! [SV63: $i,SV23: $i] :
( ( ~ ( r2_hidden @ SV23 @ SV63 )
| ~ ( r2_hidden @ SV63 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(495,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( m1_filter_0 @ ( sK5_B @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(496,plain,
! [SV64: $i,SV26: $i] :
( ( ! [SY226: $i,SY227: $i] :
( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SY226 )
| ~ ( v1_funct_2 @ SY226 @ SV26 @ SV64 )
| ~ ( m1_relset_1 @ SY226 @ SV26 @ SV64 )
| ~ ( m1_subset_1 @ SY227 @ SV26 )
| ( ( k8_funct_2 @ SV26 @ SV64 @ SY226 @ SY227 )
= ( k1_funct_1 @ SY226 @ SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(497,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 )
| ( v3_realset2 @ SV27 )
| ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(498,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 )
| ( v3_realset2 @ SV28 )
| ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(499,plain,
! [SV65: $i,SV29: $i] :
( ( ! [SY228: $i,SY229: $i] :
( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SY228 )
| ~ ( v1_funct_2 @ SY228 @ SV29 @ SV65 )
| ~ ( m1_relset_1 @ SY228 @ SV29 @ SV65 )
| ~ ( m1_subset_1 @ SY229 @ SV29 )
| ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SY228 @ SY229 ) @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(500,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 )
| ( v3_realset2 @ SV30 )
| ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(501,plain,
! [SV66: $i,SV31: $i] :
( ( ~ ( r2_hidden @ SV31 @ SV66 )
| ( m1_subset_1 @ SV31 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(502,plain,
! [SV32: $i,SV67: $i] :
( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SV67 @ ( k1_zfmisc_1 @ SY230 ) )
| ~ ( r2_hidden @ SV32 @ SV67 )
| ( m1_subset_1 @ SV32 @ SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(503,plain,
! [SV68: $i,SV33: $i] :
( ( ~ ( r2_hidden @ SV33 @ SV68 )
| ~ ( v1_xboole_0 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(504,plain,
! [SV34: $i] :
( ( ( ( v3_struct_0 @ SV34 )
| ~ ( v10_lattices @ SV34 )
| ~ ( v17_lattices @ SV34 )
| ( v3_realset2 @ SV34 )
| ~ ( l3_lattices @ SV34 ) )
= $true )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(505,plain,
! [SV35: $i] :
( ( ( ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 )
| ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) )
| ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(506,plain,
! [SV36: $i] :
( ( ( v1_xboole_0 @ SV36 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) )
| ~ ( v1_finset_1 @ ( sK19_B @ SV36 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(507,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(508,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v12_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(509,plain,
! [SV37: $i] :
( ( ( ~ ( v3_membered @ SV37 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) )
| ~ ! [SY173: $i] :
( ~ ( m1_subset_1 @ SY173 @ SV37 )
| ( v1_rat_1 @ SY173 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(510,plain,
! [SV38: $i] :
( ( ( ~ ( v4_membered @ SV38 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
| ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) )
| ~ ! [SY177: $i] :
( ~ ( m1_subset_1 @ SY177 @ SV38 )
| ( v1_rat_1 @ SY177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(511,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ! [SX2: $i] :
( ( SX0 != SX2 )
| ~ ( m1_filter_0 @ SX2 @ SX1 )
| ~ ( v1_filter_0 @ SX2 @ SX1 ) )
| ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(512,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ~ ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) )
| ~ ( ~ ~ ( ( SX0
!= ( sK7_C @ SX1 @ SX0 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(513,plain,
! [SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( l1_struct_0 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SV39 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV39 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV39 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(514,plain,
! [SV40: $i] :
( ( ( v1_xboole_0 @ SV40 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) )
| ~ ( v1_finset_1 @ ( sK18_B @ SV40 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(515,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX0: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(516,plain,
( ( ~ ! [SX0: $i] : ( v4_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(517,plain,
! [SV41: $i] :
( ( ( ~ ( v2_membered @ SV41 ) )
= $true )
| ( ( ~ ( ~ ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ SV41 )
| ( v1_xcmplx_0 @ SY178 ) )
| ~ ! [SY179: $i] :
( ~ ( m1_subset_1 @ SY179 @ SV41 )
| ( v1_xreal_0 @ SY179 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(518,plain,
( ( ~ ~ ( v1_xboole_0 @ sK22_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(519,plain,
( ( ~ ( v1_finset_1 @ sK22_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(520,plain,
! [SV69: $i,SV42: $i] :
( ( ( v1_xboole_0 @ SV42 )
| ( v1_xboole_0 @ SV69 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
| ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) )
| ~ ! [SY234: $i] :
( ~ ( m1_relset_1 @ SY234 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY234 )
| ~ ( v1_funct_2 @ SY234 @ SV42 @ SV69 )
| ( v1_funct_2 @ SY234 @ SV42 @ SV69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(521,plain,
! [SV43: $i] :
( ( ~ ! [SY185: $i,SY186: $i] :
( ~ ( m1_relset_1 @ SY186 @ SV43 @ SY185 )
| ~ ( v1_funct_1 @ SY186 )
| ~ ( v1_partfun1 @ SY186 @ SV43 @ SY185 )
| ( v1_funct_1 @ SY186 ) )
| ~ ! [SY187: $i,SY188: $i] :
( ~ ( m1_relset_1 @ SY188 @ SV43 @ SY187 )
| ~ ( v1_funct_1 @ SY188 )
| ~ ( v1_partfun1 @ SY188 @ SV43 @ SY187 )
| ( v1_funct_2 @ SY188 @ SV43 @ SY187 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(522,plain,
! [SV44: $i] :
( ( ( ~ ( v5_membered @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
| ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) )
| ~ ! [SY193: $i] :
( ~ ( m1_subset_1 @ SY193 @ SV44 )
| ( v1_rat_1 @ SY193 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(523,plain,
! [SV45: $i] :
( ( ( ~ ( v2_membered @ SV45 ) )
= $true )
| ( ( ~ ( ~ ! [SY194: $i] :
( ~ ( m1_subset_1 @ SY194 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v1_membered @ SY194 ) )
| ~ ! [SY195: $i] :
( ~ ( m1_subset_1 @ SY195 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v2_membered @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(524,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(525,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(526,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(527,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(528,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(529,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(530,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v4_membered @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(531,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v5_membered @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(532,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(533,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v16_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(534,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) )
| ~ ( v4_membered @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(535,plain,
( ( ~ ( v5_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(536,plain,
! [SV46: $i] :
( ( ( ( v3_struct_0 @ SV46 )
| ~ ( v10_lattices @ SV46 )
| ~ ( v17_lattices @ SV46 )
| ( v3_realset2 @ SV46 )
| ~ ( l3_lattices @ SV46 ) )
= $true )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(537,plain,
! [SV47: $i,SV70: $i] :
( ( ( v1_xboole_0 @ SV70 )
| ~ ( ~ ~ ( ~ ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) )
| ~ ! [SY237: $i] :
( ~ ( m1_relset_1 @ SY237 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY237 )
| ~ ( v1_funct_2 @ SY237 @ SV47 @ SV70 )
| ( v1_funct_2 @ SY237 @ SV47 @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(538,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK11_C @ SV71 @ SV48 ) @ SV48 @ SV71 )
| ~ ( v1_relat_1 @ ( sK11_C @ SV71 @ SV48 ) ) )
| ~ ( v1_funct_1 @ ( sK11_C @ SV71 @ SV48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(539,plain,
! [SV49: $i,SV72: $i] :
( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) )
| ~ ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) ) )
| ( SV49 = SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(540,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(541,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(542,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(543,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(544,plain,
! [SV50: $i] :
( ( ( ~ ( v4_membered @ SV50 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
| ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) )
| ~ ! [SY209: $i] :
( ~ ( m1_subset_1 @ SY209 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v4_membered @ SY209 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(545,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) )
| ~ ( v17_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(546,plain,
( ( ~ ~ ( v3_realset2 @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(547,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v1_finsub_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(548,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v3_finsub_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(549,plain,
! [SV51: $i] :
( ( ( ~ ( v5_membered @ SV51 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
| ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) )
| ~ ! [SY214: $i] :
( ~ ( m1_subset_1 @ SY214 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v5_membered @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(550,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(551,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(552,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(553,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ( v17_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(554,plain,
( ( ~ ( l1_struct_0 @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(555,plain,
( ( ~ ~ ( v3_struct_0 @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(556,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) )
| ~ ( v4_membered @ sK20_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(557,plain,
( ( ~ ( v5_membered @ sK20_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(558,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k9_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_2 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(559,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( m2_relset_1 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(560,plain,
! [SV52: $i] :
( ( ~ ! [SY215: $i,SY216: $i] :
( ~ ( m1_relset_1 @ SY216 @ SV52 @ SY215 )
| ( m2_relset_1 @ SY216 @ SV52 @ SY215 ) )
| ~ ! [SY217: $i,SY218: $i] :
( ~ ( m2_relset_1 @ SY218 @ SV52 @ SY217 )
| ( m1_relset_1 @ SY218 @ SV52 @ SY217 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(561,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
| ~ ( v1_funct_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
| ~ ( v1_funct_2 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(562,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(563,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(564,plain,
! [SV54: $i] :
( ( ( ~ ( v3_membered @ SV54 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) )
| ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) )
| ~ ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v3_membered @ SY222 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(565,plain,
( ( ~ ( m1_subset_1 @ sK2_SY141 @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(566,plain,
( ( ~ ~ ( ~ ( m1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(567,plain,
! [SV1: $i] :
( ( ( v1_membered @ SV1 )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( m1_subset_1 @ SY144 @ SV1 )
| ( v1_xcmplx_0 @ SY144 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(568,plain,
! [SV2: $i] :
( ( ( v1_membered @ SV2 )
= $false )
| ( ( ! [SY145: $i] :
( ~ ( m1_subset_1 @ SY145 @ ( k1_zfmisc_1 @ SV2 ) )
| ( v1_membered @ SY145 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(569,plain,
! [SV3: $i] :
( ( ( v5_membered @ SV3 )
= $false )
| ( ( v4_membered @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(570,plain,
! [SV55: $i,SV4: $i,SV74: $i] :
( ( ~ ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV4 @ SV55 ) ) )
| ( v1_relat_1 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(571,plain,
! [SV5: $i] :
( ( ( v1_finset_1 @ SV5 )
= $false )
| ( ( ! [SY148: $i] :
( ~ ( m1_subset_1 @ SY148 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_finset_1 @ SY148 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(572,plain,
! [SV6: $i] :
( ( ( v4_membered @ SV6 )
= $false )
| ( ( v3_membered @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(573,plain,
! [SV7: $i] :
( ( ( v3_membered @ SV7 )
= $false )
| ( ( v2_membered @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(574,plain,
! [SV8: $i] :
( ( ( v2_membered @ SV8 )
= $false )
| ( ( v1_membered @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(575,plain,
! [SV56: $i,SV9: $i] :
( ( ( ~ ( v1_finset_1 @ SV9 )
| ~ ( v1_finset_1 @ SV56 ) )
= $true )
| ( ( v1_finset_1 @ ( k2_zfmisc_1 @ SV9 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(576,plain,
! [SV13: $i] :
( ( ( l1_lattices @ SV13 )
= $false )
| ( ( l1_struct_0 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(577,plain,
! [SV14: $i] :
( ( ( l2_lattices @ SV14 )
= $false )
| ( ( l1_struct_0 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(578,plain,
! [SV59: $i,SV15: $i,SV75: $i] :
( ( ~ ( m2_relset_1 @ SV75 @ SV15 @ SV59 )
| ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(579,plain,
! [SV16: $i] :
( ( ( v1_xboole_0 @ SV16 )
= $false )
| ( ( v1_finset_1 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(580,plain,
! [SV17: $i] :
( ( ( ~ ( v1_finsub_1 @ SV17 ) )
= $true )
| ( ( ~ ( v3_finsub_1 @ SV17 ) )
= $true )
| ( ( v4_finsub_1 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(581,plain,
! [SV18: $i] :
( ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV18 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(582,plain,
! [SV60: $i,SV19: $i] :
( ( ( ~ ( m1_subset_1 @ SV19 @ SV60 ) )
= $true )
| ( ( ( r2_hidden @ SV19 @ SV60 )
| ( v1_xboole_0 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(583,plain,
! [SV20: $i,SV76: $i,SV61: $i] :
( ( ~ ( m1_subset_1 @ SV61 @ ( k1_zfmisc_1 @ SV76 ) )
| ~ ( r2_hidden @ SV20 @ SV61 )
| ~ ( v1_xboole_0 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(584,plain,
! [SV21: $i] :
( ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( SV21 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(585,plain,
! [SV62: $i,SV22: $i] :
( ( ( ( SV22 = SV62 )
| ~ ( v1_xboole_0 @ SV22 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(586,plain,
! [SV63: $i,SV23: $i] :
( ( ( ~ ( r2_hidden @ SV23 @ SV63 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV63 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(587,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( m1_filter_0 @ ( sK5_B @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(588,plain,
! [SV64: $i,SV77: $i,SV26: $i] :
( ( ! [SY238: $i] :
( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SV77 )
| ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 )
| ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 )
| ~ ( m1_subset_1 @ SY238 @ SV26 )
| ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SY238 )
= ( k1_funct_1 @ SV77 @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(589,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 )
| ( v3_realset2 @ SV27 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(590,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 )
| ( v3_realset2 @ SV28 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(591,plain,
! [SV65: $i,SV78: $i,SV29: $i] :
( ( ! [SY239: $i] :
( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SV78 )
| ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 )
| ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 )
| ~ ( m1_subset_1 @ SY239 @ SV29 )
| ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SY239 ) @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(592,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 )
| ( v3_realset2 @ SV30 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(593,plain,
! [SV66: $i,SV31: $i] :
( ( ( ~ ( r2_hidden @ SV31 @ SV66 ) )
= $true )
| ( ( m1_subset_1 @ SV31 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(594,plain,
! [SV32: $i,SV79: $i,SV67: $i] :
( ( ~ ( m1_subset_1 @ SV67 @ ( k1_zfmisc_1 @ SV79 ) )
| ~ ( r2_hidden @ SV32 @ SV67 )
| ( m1_subset_1 @ SV32 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(595,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ( r2_hidden @ SV33 @ SV68 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(596,plain,
! [SV34: $i] :
( ( ( ( v3_struct_0 @ SV34 )
| ~ ( v10_lattices @ SV34 )
| ~ ( v17_lattices @ SV34 )
| ( v3_realset2 @ SV34 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV34 ) )
= $true )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(597,plain,
! [SV35: $i] :
( ( ( ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) )
| ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(598,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) )
| ~ ( v1_finset_1 @ ( sK19_B @ SV36 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(599,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(600,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v12_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(601,plain,
! [SV37: $i] :
( ( ( v3_membered @ SV37 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) )
| ~ ! [SY173: $i] :
( ~ ( m1_subset_1 @ SY173 @ SV37 )
| ( v1_rat_1 @ SY173 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(602,plain,
! [SV38: $i] :
( ( ( v4_membered @ SV38 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
| ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) )
| ~ ! [SY177: $i] :
( ~ ( m1_subset_1 @ SY177 @ SV38 )
| ( v1_rat_1 @ SY177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(603,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ! [SX2: $i] :
( ( SX0 != SX2 )
| ~ ( m1_filter_0 @ SX2 @ SX1 )
| ~ ( v1_filter_0 @ SX2 @ SX1 ) )
| ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(604,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( v17_lattices @ SX1 )
| ( v3_realset2 @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ~ ( r2_hidden @ SX0 @ ( a_1_1_lopclset @ SX1 ) )
| ~ ( ~ ~ ( ( SX0
!= ( sK7_C @ SX1 @ SX0 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(605,plain,
! [SV39: $i] :
( ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SV39 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV39 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV39 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(606,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) )
| ~ ( v1_finset_1 @ ( sK18_B @ SV40 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(607,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX0: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(608,plain,
( ( ! [SX0: $i] : ( v4_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(609,plain,
! [SV41: $i] :
( ( ( v2_membered @ SV41 )
= $false )
| ( ( ~ ( ~ ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ SV41 )
| ( v1_xcmplx_0 @ SY178 ) )
| ~ ! [SY179: $i] :
( ~ ( m1_subset_1 @ SY179 @ SV41 )
| ( v1_xreal_0 @ SY179 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(610,plain,
( ( ~ ( v1_xboole_0 @ sK22_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(611,plain,
( ( v1_finset_1 @ sK22_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(612,plain,
! [SV69: $i,SV42: $i] :
( ( ( ( v1_xboole_0 @ SV42 )
| ( v1_xboole_0 @ SV69 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
| ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) )
| ~ ! [SY234: $i] :
( ~ ( m1_relset_1 @ SY234 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY234 )
| ~ ( v1_funct_2 @ SY234 @ SV42 @ SV69 )
| ( v1_funct_2 @ SY234 @ SV42 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(613,plain,
! [SV43: $i] :
( ( ~ ! [SY185: $i,SY186: $i] :
( ~ ( m1_relset_1 @ SY186 @ SV43 @ SY185 )
| ~ ( v1_funct_1 @ SY186 )
| ~ ( v1_partfun1 @ SY186 @ SV43 @ SY185 )
| ( v1_funct_1 @ SY186 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(614,plain,
! [SV43: $i] :
( ( ~ ! [SY187: $i,SY188: $i] :
( ~ ( m1_relset_1 @ SY188 @ SV43 @ SY187 )
| ~ ( v1_funct_1 @ SY188 )
| ~ ( v1_partfun1 @ SY188 @ SV43 @ SY187 )
| ( v1_funct_2 @ SY188 @ SV43 @ SY187 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(615,plain,
! [SV44: $i] :
( ( ( v5_membered @ SV44 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
| ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) )
| ~ ! [SY193: $i] :
( ~ ( m1_subset_1 @ SY193 @ SV44 )
| ( v1_rat_1 @ SY193 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(616,plain,
! [SV45: $i] :
( ( ( v2_membered @ SV45 )
= $false )
| ( ( ~ ( ~ ! [SY194: $i] :
( ~ ( m1_subset_1 @ SY194 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v1_membered @ SY194 ) )
| ~ ! [SY195: $i] :
( ~ ( m1_subset_1 @ SY195 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v2_membered @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(617,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(618,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(619,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(620,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v13_lattices @ SX0 )
| ~ ( v14_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(621,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(622,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(623,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v4_membered @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(624,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v5_membered @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(625,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(626,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v16_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(627,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) )
| ~ ( v4_membered @ k1_xboole_0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(628,plain,
( ( v5_membered @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(629,plain,
! [SV46: $i] :
( ( ( ( v3_struct_0 @ SV46 )
| ~ ( v10_lattices @ SV46 )
| ~ ( v17_lattices @ SV46 )
| ( v3_realset2 @ SV46 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV46 ) )
= $true )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(630,plain,
! [SV47: $i,SV70: $i] :
( ( ( v1_xboole_0 @ SV70 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) )
| ~ ! [SY237: $i] :
( ~ ( m1_relset_1 @ SY237 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY237 )
| ~ ( v1_funct_2 @ SY237 @ SV47 @ SV70 )
| ( v1_funct_2 @ SY237 @ SV47 @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(631,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK11_C @ SV71 @ SV48 ) @ SV48 @ SV71 )
| ~ ( v1_relat_1 @ ( sK11_C @ SV71 @ SV48 ) ) )
| ~ ( v1_funct_1 @ ( sK11_C @ SV71 @ SV48 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(632,plain,
! [SV49: $i,SV72: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) )
| ~ ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) ) ) )
= $true )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(633,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(634,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(635,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(636,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(637,plain,
! [SV50: $i] :
( ( ( v4_membered @ SV50 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
| ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) )
| ~ ! [SY209: $i] :
( ~ ( m1_subset_1 @ SY209 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v4_membered @ SY209 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(638,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) )
| ~ ( v17_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(639,plain,
( ( ~ ( v3_realset2 @ sK21_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(640,plain,
( ( ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v1_finsub_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(641,plain,
( ( ! [SX0: $i] :
( ~ ( v4_finsub_1 @ SX0 )
| ( v3_finsub_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(642,plain,
! [SV51: $i] :
( ( ( v5_membered @ SV51 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
| ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) )
| ~ ! [SY214: $i] :
( ~ ( m1_subset_1 @ SY214 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v5_membered @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(643,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k8_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(644,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_relat_1 @ ( k8_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(645,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(646,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v16_lattices @ SX0 )
| ( v17_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(647,plain,
( ( l1_struct_0 @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(648,plain,
( ( ~ ( v3_struct_0 @ sK10_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(649,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) )
| ~ ( v4_membered @ sK20_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(650,plain,
( ( v5_membered @ sK20_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(651,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k9_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_2 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(652,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( m2_relset_1 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(653,plain,
! [SV52: $i] :
( ( ~ ! [SY215: $i,SY216: $i] :
( ~ ( m1_relset_1 @ SY216 @ SV52 @ SY215 )
| ( m2_relset_1 @ SY216 @ SV52 @ SY215 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(654,plain,
! [SV52: $i] :
( ( ~ ! [SY217: $i,SY218: $i] :
( ~ ( m2_relset_1 @ SY218 @ SV52 @ SY217 )
| ( m1_relset_1 @ SY218 @ SV52 @ SY217 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(655,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
| ~ ( v1_funct_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
| ~ ( v1_funct_2 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(656,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(657,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v4_lattices @ SX0 )
| ~ ( v5_lattices @ SX0 )
| ~ ( v6_lattices @ SX0 )
| ~ ( v7_lattices @ SX0 )
| ~ ( v8_lattices @ SX0 )
| ~ ( v9_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(658,plain,
! [SV54: $i] :
( ( ( v3_membered @ SV54 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) )
| ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) )
| ~ ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v3_membered @ SY222 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(659,plain,
( ( m1_subset_1 @ sK2_SY141 @ ( u1_struct_0 @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(660,plain,
( ( ~ ( ~ ( m1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(661,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( m1_subset_1 @ SV80 @ SV1 )
| ( v1_xcmplx_0 @ SV80 ) )
= $true )
| ( ( v1_membered @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(662,plain,
! [SV2: $i,SV81: $i] :
( ( ( ~ ( m1_subset_1 @ SV81 @ ( k1_zfmisc_1 @ SV2 ) )
| ( v1_membered @ SV81 ) )
= $true )
| ( ( v1_membered @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(663,plain,
! [SV55: $i,SV4: $i,SV74: $i] :
( ( ( ~ ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV4 @ SV55 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(664,plain,
! [SV5: $i,SV82: $i] :
( ( ( ~ ( m1_subset_1 @ SV82 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_finset_1 @ SV82 ) )
= $true )
| ( ( v1_finset_1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(665,plain,
! [SV56: $i,SV9: $i] :
( ( ( ~ ( v1_finset_1 @ SV9 ) )
= $true )
| ( ( ~ ( v1_finset_1 @ SV56 ) )
= $true )
| ( ( v1_finset_1 @ ( k2_zfmisc_1 @ SV9 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(666,plain,
! [SV59: $i,SV15: $i,SV75: $i] :
( ( ( ~ ( m2_relset_1 @ SV75 @ SV15 @ SV59 ) )
= $true )
| ( ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(667,plain,
! [SV17: $i] :
( ( ( v1_finsub_1 @ SV17 )
= $false )
| ( ( ~ ( v3_finsub_1 @ SV17 ) )
= $true )
| ( ( v4_finsub_1 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(668,plain,
! [SV18: $i] :
( ( ( l1_struct_0 @ SV18 )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(669,plain,
! [SV60: $i,SV19: $i] :
( ( ( m1_subset_1 @ SV19 @ SV60 )
= $false )
| ( ( ( r2_hidden @ SV19 @ SV60 )
| ( v1_xboole_0 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(670,plain,
! [SV20: $i,SV76: $i,SV61: $i] :
( ( ( ~ ( m1_subset_1 @ SV61 @ ( k1_zfmisc_1 @ SV76 ) )
| ~ ( r2_hidden @ SV20 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(671,plain,
! [SV62: $i,SV22: $i] :
( ( ( SV22 = SV62 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV22 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(672,plain,
! [SV63: $i,SV23: $i] :
( ( ( r2_hidden @ SV23 @ SV63 )
= $false )
| ( ( ~ ( r2_hidden @ SV63 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(673,plain,
! [SV24: $i] :
( ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( v10_lattices @ SV24 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( m1_filter_0 @ ( sK5_B @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(674,plain,
! [SV83: $i,SV64: $i,SV77: $i,SV26: $i] :
( ( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SV77 )
| ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 )
| ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 )
| ~ ( m1_subset_1 @ SV83 @ SV26 )
| ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(675,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(676,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(677,plain,
! [SV84: $i,SV65: $i,SV78: $i,SV29: $i] :
( ( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SV78 )
| ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 )
| ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 )
| ~ ( m1_subset_1 @ SV84 @ SV29 )
| ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(678,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(679,plain,
! [SV66: $i,SV31: $i] :
( ( ( r2_hidden @ SV31 @ SV66 )
= $false )
| ( ( m1_subset_1 @ SV31 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(680,plain,
! [SV32: $i,SV79: $i,SV67: $i] :
( ( ( ~ ( m1_subset_1 @ SV67 @ ( k1_zfmisc_1 @ SV79 ) )
| ~ ( r2_hidden @ SV32 @ SV67 ) )
= $true )
| ( ( m1_subset_1 @ SV32 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(681,plain,
! [SV68: $i,SV33: $i] :
( ( ( r2_hidden @ SV33 @ SV68 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(682,plain,
! [SV34: $i] :
( ( ( ( v3_struct_0 @ SV34 )
| ~ ( v10_lattices @ SV34 )
| ~ ( v17_lattices @ SV34 ) )
= $true )
| ( ( v3_realset2 @ SV34 )
= $true )
| ( ( ~ ( l3_lattices @ SV34 ) )
= $true )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(683,plain,
! [SV35: $i] :
( ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( ~ ( v10_lattices @ SV35 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) )
| ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(684,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(685,plain,
! [SV36: $i] :
( ( ( ~ ( v1_finset_1 @ ( sK19_B @ SV36 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(686,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(687,plain,
! [SV85: $i] :
( ( ~ ( l3_lattices @ SV85 )
| ( v3_struct_0 @ SV85 )
| ~ ( v10_lattices @ SV85 )
| ~ ( v11_lattices @ SV85 )
| ( v12_lattices @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(688,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) )
| ~ ! [SY173: $i] :
( ~ ( m1_subset_1 @ SY173 @ SV37 )
| ( v1_rat_1 @ SY173 ) ) )
= $false )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(689,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
| ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) )
| ~ ! [SY177: $i] :
( ~ ( m1_subset_1 @ SY177 @ SV38 )
| ( v1_rat_1 @ SY177 ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(690,plain,
! [SV86: $i] :
( ( ! [SY240: $i] :
( ( v3_struct_0 @ SY240 )
| ~ ( v10_lattices @ SY240 )
| ~ ( v17_lattices @ SY240 )
| ( v3_realset2 @ SY240 )
| ~ ( l3_lattices @ SY240 )
| ! [SY241: $i] :
( ( SV86 != SY241 )
| ~ ( m1_filter_0 @ SY241 @ SY240 )
| ~ ( v1_filter_0 @ SY241 @ SY240 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(691,plain,
! [SV87: $i] :
( ( ! [SY242: $i] :
( ( v3_struct_0 @ SY242 )
| ~ ( v10_lattices @ SY242 )
| ~ ( v17_lattices @ SY242 )
| ( v3_realset2 @ SY242 )
| ~ ( l3_lattices @ SY242 )
| ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SY242 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SY242 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SY242 @ SV87 ) @ SY242 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SY242 @ SV87 ) @ SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(692,plain,
! [SV39: $i] :
( ( ( l1_struct_0 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SV39 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV39 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV39 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(693,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(694,plain,
! [SV40: $i] :
( ( ( ~ ( v1_finset_1 @ ( sK18_B @ SV40 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(695,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX0: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(696,plain,
! [SV88: $i] :
( ( v4_finsub_1 @ ( k1_zfmisc_1 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(697,plain,
! [SV41: $i] :
( ( ( ~ ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ SV41 )
| ( v1_xcmplx_0 @ SY178 ) )
| ~ ! [SY179: $i] :
( ~ ( m1_subset_1 @ SY179 @ SV41 )
| ( v1_xreal_0 @ SY179 ) ) )
= $false )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(698,plain,
( ( v1_xboole_0 @ sK22_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(699,plain,
! [SV69: $i,SV42: $i] :
( ( ( v1_xboole_0 @ SV42 )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
| ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) )
| ~ ! [SY234: $i] :
( ~ ( m1_relset_1 @ SY234 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY234 )
| ~ ( v1_funct_2 @ SY234 @ SV42 @ SV69 )
| ( v1_funct_2 @ SY234 @ SV42 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(700,plain,
! [SV43: $i] :
( ( ! [SY185: $i,SY186: $i] :
( ~ ( m1_relset_1 @ SY186 @ SV43 @ SY185 )
| ~ ( v1_funct_1 @ SY186 )
| ~ ( v1_partfun1 @ SY186 @ SV43 @ SY185 )
| ( v1_funct_1 @ SY186 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(701,plain,
! [SV43: $i] :
( ( ! [SY187: $i,SY188: $i] :
( ~ ( m1_relset_1 @ SY188 @ SV43 @ SY187 )
| ~ ( v1_funct_1 @ SY188 )
| ~ ( v1_partfun1 @ SY188 @ SV43 @ SY187 )
| ( v1_funct_2 @ SY188 @ SV43 @ SY187 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(702,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
| ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) )
| ~ ! [SY193: $i] :
( ~ ( m1_subset_1 @ SY193 @ SV44 )
| ( v1_rat_1 @ SY193 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(703,plain,
! [SV45: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( m1_subset_1 @ SY194 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v1_membered @ SY194 ) )
| ~ ! [SY195: $i] :
( ~ ( m1_subset_1 @ SY195 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v2_membered @ SY195 ) ) )
= $false )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(704,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(705,plain,
! [SV89: $i] :
( ( ~ ( l3_lattices @ SV89 )
| ( v3_struct_0 @ SV89 )
| ~ ( v15_lattices @ SV89 )
| ( v14_lattices @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(706,plain,
! [SV90: $i] :
( ( ~ ( l3_lattices @ SV90 )
| ( v3_struct_0 @ SV90 )
| ~ ( v13_lattices @ SV90 )
| ~ ( v14_lattices @ SV90 )
| ~ ( v3_struct_0 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(707,plain,
! [SV91: $i] :
( ( ~ ( l3_lattices @ SV91 )
| ( v3_struct_0 @ SV91 )
| ~ ( v13_lattices @ SV91 )
| ~ ( v14_lattices @ SV91 )
| ( v15_lattices @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(708,plain,
! [SV92: $i] :
( ( ~ ( l3_lattices @ SV92 )
| ( l1_lattices @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(709,plain,
! [SV93: $i] :
( ( ~ ( l3_lattices @ SV93 )
| ( l2_lattices @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(710,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v4_membered @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(711,plain,
! [SV94: $i] :
( ( ~ ( v1_xboole_0 @ SV94 )
| ( v5_membered @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(712,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(713,plain,
! [SV95: $i] :
( ( ~ ( l3_lattices @ SV95 )
| ( v3_struct_0 @ SV95 )
| ~ ( v17_lattices @ SV95 )
| ( v16_lattices @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(714,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) )
| ~ ( v4_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(715,plain,
! [SV46: $i] :
( ( ( ( v3_struct_0 @ SV46 )
| ~ ( v10_lattices @ SV46 )
| ~ ( v17_lattices @ SV46 ) )
= $true )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( ~ ( l3_lattices @ SV46 ) )
= $true )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(716,plain,
! [SV70: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) )
| ~ ! [SY237: $i] :
( ~ ( m1_relset_1 @ SY237 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY237 )
| ~ ( v1_funct_2 @ SY237 @ SV47 @ SV70 )
| ( v1_funct_2 @ SY237 @ SV47 @ SV70 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(717,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK11_C @ SV71 @ SV48 ) @ SV48 @ SV71 )
| ~ ( v1_relat_1 @ ( sK11_C @ SV71 @ SV48 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(718,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ( v1_funct_1 @ ( sK11_C @ SV71 @ SV48 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(719,plain,
! [SV49: $i,SV72: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) )
| ~ ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) ) )
= $false )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(720,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(721,plain,
! [SV96: $i] :
( ( ~ ( l3_lattices @ SV96 )
| ( v3_struct_0 @ SV96 )
| ~ ( v10_lattices @ SV96 )
| ( v9_lattices @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(722,plain,
! [SV97: $i] :
( ( ! [SY243: $i] :
( ~ ( m1_subset_1 @ SV97 @ ( k1_zfmisc_1 @ SY243 ) )
| ( r1_tarski @ SV97 @ SY243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(723,plain,
! [SV98: $i] :
( ( ! [SY244: $i] :
( ~ ( r1_tarski @ SV98 @ SY244 )
| ( m1_subset_1 @ SV98 @ ( k1_zfmisc_1 @ SY244 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(724,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
| ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) )
| ~ ! [SY209: $i] :
( ~ ( m1_subset_1 @ SY209 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v4_membered @ SY209 ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(725,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) )
| ~ ( v17_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(726,plain,
( ( v3_realset2 @ sK21_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(727,plain,
! [SV99: $i] :
( ( ~ ( v4_finsub_1 @ SV99 )
| ( v1_finsub_1 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(728,plain,
! [SV100: $i] :
( ( ~ ( v4_finsub_1 @ SV100 )
| ( v3_finsub_1 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(729,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
| ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) )
| ~ ! [SY214: $i] :
( ~ ( m1_subset_1 @ SY214 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v5_membered @ SY214 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(730,plain,
! [SV101: $i] :
( ( ( v3_struct_0 @ SV101 )
| ~ ( v10_lattices @ SV101 )
| ~ ( v17_lattices @ SV101 )
| ( v3_realset2 @ SV101 )
| ~ ( l3_lattices @ SV101 )
| ( v1_funct_1 @ ( k8_lopclset @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(731,plain,
! [SV102: $i] :
( ( ( v3_struct_0 @ SV102 )
| ~ ( v10_lattices @ SV102 )
| ~ ( v17_lattices @ SV102 )
| ( v3_realset2 @ SV102 )
| ~ ( l3_lattices @ SV102 )
| ( v1_relat_1 @ ( k8_lopclset @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(732,plain,
! [SV103: $i] :
( ( ~ ( l3_lattices @ SV103 )
| ( v3_struct_0 @ SV103 )
| ~ ( v11_lattices @ SV103 )
| ~ ( v15_lattices @ SV103 )
| ~ ( v16_lattices @ SV103 )
| ~ ( v3_struct_0 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(733,plain,
! [SV104: $i] :
( ( ~ ( l3_lattices @ SV104 )
| ( v3_struct_0 @ SV104 )
| ~ ( v11_lattices @ SV104 )
| ~ ( v15_lattices @ SV104 )
| ~ ( v16_lattices @ SV104 )
| ( v17_lattices @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(734,plain,
( ( v3_struct_0 @ sK10_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(735,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) )
| ~ ( v4_membered @ sK20_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(736,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k9_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_2 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(737,plain,
! [SV105: $i] :
( ( ( v3_struct_0 @ SV105 )
| ~ ( v10_lattices @ SV105 )
| ~ ( v17_lattices @ SV105 )
| ( v3_realset2 @ SV105 )
| ~ ( l3_lattices @ SV105 )
| ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(738,plain,
! [SV52: $i] :
( ( ! [SY215: $i,SY216: $i] :
( ~ ( m1_relset_1 @ SY216 @ SV52 @ SY215 )
| ( m2_relset_1 @ SY216 @ SV52 @ SY215 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(739,plain,
! [SV52: $i] :
( ( ! [SY217: $i,SY218: $i] :
( ~ ( m2_relset_1 @ SY218 @ SV52 @ SY217 )
| ( m1_relset_1 @ SY218 @ SV52 @ SY217 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(740,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
| ~ ( v1_funct_1 @ ( sK12_C @ SV73 @ SV53 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(741,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( v1_funct_2 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(742,plain,
! [SV106: $i] :
( ( ~ ( l3_lattices @ SV106 )
| ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 )
| ~ ( v6_lattices @ SV106 )
| ~ ( v7_lattices @ SV106 )
| ~ ( v8_lattices @ SV106 )
| ~ ( v9_lattices @ SV106 )
| ~ ( v3_struct_0 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(743,plain,
! [SV107: $i] :
( ( ~ ( l3_lattices @ SV107 )
| ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 )
| ~ ( v6_lattices @ SV107 )
| ~ ( v7_lattices @ SV107 )
| ~ ( v8_lattices @ SV107 )
| ~ ( v9_lattices @ SV107 )
| ( v10_lattices @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(744,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) )
| ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) )
| ~ ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v3_membered @ SY222 ) ) )
= $false )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(745,plain,
( ( ~ ( m1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(746,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( m1_subset_1 @ SV80 @ SV1 ) )
= $true )
| ( ( v1_xcmplx_0 @ SV80 )
= $true )
| ( ( v1_membered @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(747,plain,
! [SV2: $i,SV81: $i] :
( ( ( ~ ( m1_subset_1 @ SV81 @ ( k1_zfmisc_1 @ SV2 ) ) )
= $true )
| ( ( v1_membered @ SV81 )
= $true )
| ( ( v1_membered @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(748,plain,
! [SV55: $i,SV4: $i,SV74: $i] :
( ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV4 @ SV55 ) ) )
= $false )
| ( ( v1_relat_1 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(749,plain,
! [SV5: $i,SV82: $i] :
( ( ( ~ ( m1_subset_1 @ SV82 @ ( k1_zfmisc_1 @ SV5 ) ) )
= $true )
| ( ( v1_finset_1 @ SV82 )
= $true )
| ( ( v1_finset_1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(750,plain,
! [SV56: $i,SV9: $i] :
( ( ( v1_finset_1 @ SV9 )
= $false )
| ( ( ~ ( v1_finset_1 @ SV56 ) )
= $true )
| ( ( v1_finset_1 @ ( k2_zfmisc_1 @ SV9 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(751,plain,
! [SV59: $i,SV15: $i,SV75: $i] :
( ( ( m2_relset_1 @ SV75 @ SV15 @ SV59 )
= $false )
| ( ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(752,plain,
! [SV17: $i] :
( ( ( v3_finsub_1 @ SV17 )
= $false )
| ( ( v1_finsub_1 @ SV17 )
= $false )
| ( ( v4_finsub_1 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(753,plain,
! [SV18: $i] :
( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV18 ) )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( l1_struct_0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(754,plain,
! [SV60: $i,SV19: $i] :
( ( ( r2_hidden @ SV19 @ SV60 )
= $true )
| ( ( v1_xboole_0 @ SV60 )
= $true )
| ( ( m1_subset_1 @ SV19 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(755,plain,
! [SV20: $i,SV76: $i,SV61: $i] :
( ( ( ~ ( m1_subset_1 @ SV61 @ ( k1_zfmisc_1 @ SV76 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV20 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(756,plain,
! [SV62: $i,SV22: $i] :
( ( ( v1_xboole_0 @ SV22 )
= $false )
| ( ( SV22 = SV62 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(757,plain,
! [SV23: $i,SV63: $i] :
( ( ( r2_hidden @ SV63 @ SV23 )
= $false )
| ( ( r2_hidden @ SV23 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(758,plain,
! [SV24: $i] :
( ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( m1_filter_0 @ ( sK5_B @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(759,plain,
! [SV83: $i,SV64: $i,SV77: $i,SV26: $i] :
( ( ( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SV77 )
| ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 )
| ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 )
| ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(760,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(761,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(762,plain,
! [SV84: $i,SV65: $i,SV78: $i,SV29: $i] :
( ( ( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SV78 )
| ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 )
| ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 )
| ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(763,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(764,plain,
! [SV32: $i,SV79: $i,SV67: $i] :
( ( ( ~ ( m1_subset_1 @ SV67 @ ( k1_zfmisc_1 @ SV79 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV32 @ SV67 ) )
= $true )
| ( ( m1_subset_1 @ SV32 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(765,plain,
! [SV33: $i,SV68: $i] :
( ( ( v1_xboole_0 @ SV68 )
= $false )
| ( ( r2_hidden @ SV33 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(766,plain,
! [SV34: $i] :
( ( ( ( v3_struct_0 @ SV34 )
| ~ ( v10_lattices @ SV34 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV34 ) )
= $true )
| ( ( v3_realset2 @ SV34 )
= $true )
| ( ( ~ ( l3_lattices @ SV34 ) )
= $true )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(767,plain,
! [SV35: $i] :
( ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) )
| ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(768,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(769,plain,
! [SV36: $i] :
( ( ( v1_finset_1 @ ( sK19_B @ SV36 ) )
= $true )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(770,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(771,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(772,plain,
! [SV85: $i] :
( ( ( ~ ( l3_lattices @ SV85 ) )
= $true )
| ( ( ( v3_struct_0 @ SV85 )
| ~ ( v10_lattices @ SV85 )
| ~ ( v11_lattices @ SV85 )
| ( v12_lattices @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(773,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) ) )
= $false )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(774,plain,
! [SV37: $i] :
( ( ( ~ ! [SY173: $i] :
( ~ ( m1_subset_1 @ SY173 @ SV37 )
| ( v1_rat_1 @ SY173 ) ) )
= $false )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(775,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
| ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(776,plain,
! [SV38: $i] :
( ( ( ~ ! [SY177: $i] :
( ~ ( m1_subset_1 @ SY177 @ SV38 )
| ( v1_rat_1 @ SY177 ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(777,plain,
! [SV86: $i,SV108: $i] :
( ( ( v3_struct_0 @ SV108 )
| ~ ( v10_lattices @ SV108 )
| ~ ( v17_lattices @ SV108 )
| ( v3_realset2 @ SV108 )
| ~ ( l3_lattices @ SV108 )
| ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(778,plain,
! [SV87: $i,SV109: $i] :
( ( ( v3_struct_0 @ SV109 )
| ~ ( v10_lattices @ SV109 )
| ~ ( v17_lattices @ SV109 )
| ( v3_realset2 @ SV109 )
| ~ ( l3_lattices @ SV109 )
| ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(779,plain,
! [SV39: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK9_B @ SV39 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV39 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV39 ) ) )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l1_struct_0 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(780,plain,
! [SV40: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(781,plain,
! [SV40: $i] :
( ( ( v1_finset_1 @ ( sK18_B @ SV40 ) )
= $true )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(782,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(783,plain,
( ( ~ ! [SX0: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(784,plain,
! [SV41: $i] :
( ( ( ~ ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ SV41 )
| ( v1_xcmplx_0 @ SY178 ) ) )
= $false )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(785,plain,
! [SV41: $i] :
( ( ( ~ ! [SY179: $i] :
( ~ ( m1_subset_1 @ SY179 @ SV41 )
| ( v1_xreal_0 @ SY179 ) ) )
= $false )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(786,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
| ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) )
| ~ ! [SY234: $i] :
( ~ ( m1_relset_1 @ SY234 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY234 )
| ~ ( v1_funct_2 @ SY234 @ SV42 @ SV69 )
| ( v1_funct_2 @ SY234 @ SV42 @ SV69 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(787,plain,
! [SV110: $i,SV43: $i] :
( ( ! [SY246: $i] :
( ~ ( m1_relset_1 @ SY246 @ SV43 @ SV110 )
| ~ ( v1_funct_1 @ SY246 )
| ~ ( v1_partfun1 @ SY246 @ SV43 @ SV110 )
| ( v1_funct_1 @ SY246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(788,plain,
! [SV111: $i,SV43: $i] :
( ( ! [SY247: $i] :
( ~ ( m1_relset_1 @ SY247 @ SV43 @ SV111 )
| ~ ( v1_funct_1 @ SY247 )
| ~ ( v1_partfun1 @ SY247 @ SV43 @ SV111 )
| ( v1_funct_2 @ SY247 @ SV43 @ SV111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(789,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
| ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(790,plain,
! [SV44: $i] :
( ( ( ~ ! [SY193: $i] :
( ~ ( m1_subset_1 @ SY193 @ SV44 )
| ( v1_rat_1 @ SY193 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(791,plain,
! [SV45: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( m1_subset_1 @ SY194 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v1_membered @ SY194 ) ) )
= $false )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(792,plain,
! [SV45: $i] :
( ( ( ~ ! [SY195: $i] :
( ~ ( m1_subset_1 @ SY195 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v2_membered @ SY195 ) ) )
= $false )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(793,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(794,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(795,plain,
! [SV89: $i] :
( ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ( v3_struct_0 @ SV89 )
| ~ ( v15_lattices @ SV89 )
| ( v14_lattices @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(796,plain,
! [SV90: $i] :
( ( ( ~ ( l3_lattices @ SV90 ) )
= $true )
| ( ( ( v3_struct_0 @ SV90 )
| ~ ( v13_lattices @ SV90 )
| ~ ( v14_lattices @ SV90 )
| ~ ( v3_struct_0 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(797,plain,
! [SV91: $i] :
( ( ( ~ ( l3_lattices @ SV91 ) )
= $true )
| ( ( ( v3_struct_0 @ SV91 )
| ~ ( v13_lattices @ SV91 )
| ~ ( v14_lattices @ SV91 )
| ( v15_lattices @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(798,plain,
! [SV92: $i] :
( ( ( ~ ( l3_lattices @ SV92 ) )
= $true )
| ( ( l1_lattices @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(799,plain,
! [SV93: $i] :
( ( ( ~ ( l3_lattices @ SV93 ) )
= $true )
| ( ( l2_lattices @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(800,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(801,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v4_membered @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(802,plain,
! [SV94: $i] :
( ( ( ~ ( v1_xboole_0 @ SV94 ) )
= $true )
| ( ( v5_membered @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(803,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(804,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(805,plain,
! [SV95: $i] :
( ( ( ~ ( l3_lattices @ SV95 ) )
= $true )
| ( ( ( v3_struct_0 @ SV95 )
| ~ ( v17_lattices @ SV95 )
| ( v16_lattices @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(806,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(807,plain,
( ( ~ ( v4_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(808,plain,
! [SV46: $i] :
( ( ( ( v3_struct_0 @ SV46 )
| ~ ( v10_lattices @ SV46 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV46 ) )
= $true )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( ~ ( l3_lattices @ SV46 ) )
= $true )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(809,plain,
! [SV70: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(810,plain,
! [SV70: $i,SV47: $i] :
( ( ( ~ ! [SY237: $i] :
( ~ ( m1_relset_1 @ SY237 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY237 )
| ~ ( v1_funct_2 @ SY237 @ SV47 @ SV70 )
| ( v1_funct_2 @ SY237 @ SV47 @ SV70 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(811,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK11_C @ SV71 @ SV48 ) @ SV48 @ SV71 )
| ~ ( v1_relat_1 @ ( sK11_C @ SV71 @ SV48 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(812,plain,
! [SV48: $i,SV71: $i] :
( ( v1_funct_1 @ ( sK11_C @ SV71 @ SV48 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(813,plain,
! [SV49: $i,SV72: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) ) )
= $false )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(814,plain,
! [SV49: $i,SV72: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) ) )
= $false )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(815,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(816,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(817,plain,
! [SV96: $i] :
( ( ( ~ ( l3_lattices @ SV96 ) )
= $true )
| ( ( ( v3_struct_0 @ SV96 )
| ~ ( v10_lattices @ SV96 )
| ( v9_lattices @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(818,plain,
! [SV112: $i,SV97: $i] :
( ( ~ ( m1_subset_1 @ SV97 @ ( k1_zfmisc_1 @ SV112 ) )
| ( r1_tarski @ SV97 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(819,plain,
! [SV113: $i,SV98: $i] :
( ( ~ ( r1_tarski @ SV98 @ SV113 )
| ( m1_subset_1 @ SV98 @ ( k1_zfmisc_1 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(820,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
| ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(821,plain,
! [SV50: $i] :
( ( ( ~ ! [SY209: $i] :
( ~ ( m1_subset_1 @ SY209 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v4_membered @ SY209 ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(822,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(823,plain,
( ( ~ ( v17_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(824,plain,
! [SV99: $i] :
( ( ( ~ ( v4_finsub_1 @ SV99 ) )
= $true )
| ( ( v1_finsub_1 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(825,plain,
! [SV100: $i] :
( ( ( ~ ( v4_finsub_1 @ SV100 ) )
= $true )
| ( ( v3_finsub_1 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(826,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
| ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(827,plain,
! [SV51: $i] :
( ( ( ~ ! [SY214: $i] :
( ~ ( m1_subset_1 @ SY214 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v5_membered @ SY214 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(828,plain,
! [SV101: $i] :
( ( ( ( v3_struct_0 @ SV101 )
| ~ ( v10_lattices @ SV101 )
| ~ ( v17_lattices @ SV101 )
| ( v3_realset2 @ SV101 )
| ~ ( l3_lattices @ SV101 ) )
= $true )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(829,plain,
! [SV102: $i] :
( ( ( ( v3_struct_0 @ SV102 )
| ~ ( v10_lattices @ SV102 )
| ~ ( v17_lattices @ SV102 )
| ( v3_realset2 @ SV102 )
| ~ ( l3_lattices @ SV102 ) )
= $true )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(830,plain,
! [SV103: $i] :
( ( ( ~ ( l3_lattices @ SV103 ) )
= $true )
| ( ( ( v3_struct_0 @ SV103 )
| ~ ( v11_lattices @ SV103 )
| ~ ( v15_lattices @ SV103 )
| ~ ( v16_lattices @ SV103 )
| ~ ( v3_struct_0 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(831,plain,
! [SV104: $i] :
( ( ( ~ ( l3_lattices @ SV104 ) )
= $true )
| ( ( ( v3_struct_0 @ SV104 )
| ~ ( v11_lattices @ SV104 )
| ~ ( v15_lattices @ SV104 )
| ~ ( v16_lattices @ SV104 )
| ( v17_lattices @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(832,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(833,plain,
( ( ~ ( v4_membered @ sK20_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(834,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k9_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(835,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_2 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(836,plain,
! [SV105: $i] :
( ( ( ( v3_struct_0 @ SV105 )
| ~ ( v10_lattices @ SV105 )
| ~ ( v17_lattices @ SV105 )
| ( v3_realset2 @ SV105 )
| ~ ( l3_lattices @ SV105 ) )
= $true )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(837,plain,
! [SV114: $i,SV52: $i] :
( ( ! [SY248: $i] :
( ~ ( m1_relset_1 @ SY248 @ SV52 @ SV114 )
| ( m2_relset_1 @ SY248 @ SV52 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(838,plain,
! [SV115: $i,SV52: $i] :
( ( ! [SY249: $i] :
( ~ ( m2_relset_1 @ SY249 @ SV52 @ SV115 )
| ( m1_relset_1 @ SY249 @ SV52 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(839,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
| ~ ( v1_funct_1 @ ( sK12_C @ SV73 @ SV53 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(840,plain,
! [SV53: $i,SV73: $i] :
( ( v1_funct_2 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(841,plain,
! [SV106: $i] :
( ( ( ~ ( l3_lattices @ SV106 ) )
= $true )
| ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 )
| ~ ( v6_lattices @ SV106 )
| ~ ( v7_lattices @ SV106 )
| ~ ( v8_lattices @ SV106 )
| ~ ( v9_lattices @ SV106 )
| ~ ( v3_struct_0 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(842,plain,
! [SV107: $i] :
( ( ( ~ ( l3_lattices @ SV107 ) )
= $true )
| ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 )
| ~ ( v6_lattices @ SV107 )
| ~ ( v7_lattices @ SV107 )
| ~ ( v8_lattices @ SV107 )
| ~ ( v9_lattices @ SV107 )
| ( v10_lattices @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(843,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) )
| ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) ) )
= $false )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(844,plain,
! [SV54: $i] :
( ( ( ~ ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v3_membered @ SY222 ) ) )
= $false )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(845,plain,
( ( ~ ( m1_filter_0 @ sK3_SY143 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(846,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(847,plain,
! [SV1: $i,SV80: $i] :
( ( ( m1_subset_1 @ SV80 @ SV1 )
= $false )
| ( ( v1_xcmplx_0 @ SV80 )
= $true )
| ( ( v1_membered @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(848,plain,
! [SV2: $i,SV81: $i] :
( ( ( m1_subset_1 @ SV81 @ ( k1_zfmisc_1 @ SV2 ) )
= $false )
| ( ( v1_membered @ SV81 )
= $true )
| ( ( v1_membered @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(849,plain,
! [SV5: $i,SV82: $i] :
( ( ( m1_subset_1 @ SV82 @ ( k1_zfmisc_1 @ SV5 ) )
= $false )
| ( ( v1_finset_1 @ SV82 )
= $true )
| ( ( v1_finset_1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(850,plain,
! [SV9: $i,SV56: $i] :
( ( ( v1_finset_1 @ SV56 )
= $false )
| ( ( v1_finset_1 @ SV9 )
= $false )
| ( ( v1_finset_1 @ ( k2_zfmisc_1 @ SV9 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(851,plain,
! [SV20: $i,SV76: $i,SV61: $i] :
( ( ( m1_subset_1 @ SV61 @ ( k1_zfmisc_1 @ SV76 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV20 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(852,plain,
! [SV22: $i,SV62: $i] :
( ( ( v1_xboole_0 @ SV62 )
= $false )
| ( ( SV22 = SV62 )
= $true )
| ( ( v1_xboole_0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(853,plain,
! [SV24: $i] :
( ( ( l3_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( m1_filter_0 @ ( sK5_B @ SV24 ) @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(854,plain,
! [SV83: $i,SV64: $i,SV77: $i,SV26: $i] :
( ( ( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SV77 )
| ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 )
| ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(855,plain,
! [SV27: $i] :
( ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( ~ ( v10_lattices @ SV27 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(856,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ( v10_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(857,plain,
! [SV84: $i,SV65: $i,SV78: $i,SV29: $i] :
( ( ( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SV78 )
| ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 )
| ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(858,plain,
! [SV30: $i] :
( ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v10_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(859,plain,
! [SV32: $i,SV79: $i,SV67: $i] :
( ( ( m1_subset_1 @ SV67 @ ( k1_zfmisc_1 @ SV79 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV32 @ SV67 ) )
= $true )
| ( ( m1_subset_1 @ SV32 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(860,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( v10_lattices @ SV34 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV34 ) )
= $true )
| ( ( v3_realset2 @ SV34 )
= $true )
| ( ( ~ ( l3_lattices @ SV34 ) )
= $true )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(861,plain,
! [SV35: $i] :
( ( ( l3_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( ~ ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) )
| ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(862,plain,
! [SV36: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(863,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(864,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v10_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(865,plain,
! [SV85: $i] :
( ( ( l3_lattices @ SV85 )
= $false )
| ( ( ( v3_struct_0 @ SV85 )
| ~ ( v10_lattices @ SV85 )
| ~ ( v11_lattices @ SV85 )
| ( v12_lattices @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(866,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) ) )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(867,plain,
! [SV37: $i] :
( ( ( ! [SY173: $i] :
( ~ ( m1_subset_1 @ SY173 @ SV37 )
| ( v1_rat_1 @ SY173 ) ) )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(868,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
| ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(869,plain,
! [SV38: $i] :
( ( ( ! [SY177: $i] :
( ~ ( m1_subset_1 @ SY177 @ SV38 )
| ( v1_rat_1 @ SY177 ) ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(870,plain,
! [SV86: $i,SV108: $i] :
( ( ( ( v3_struct_0 @ SV108 )
| ~ ( v10_lattices @ SV108 )
| ~ ( v17_lattices @ SV108 )
| ( v3_realset2 @ SV108 )
| ~ ( l3_lattices @ SV108 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(871,plain,
! [SV87: $i,SV109: $i] :
( ( ( ( v3_struct_0 @ SV109 )
| ~ ( v10_lattices @ SV109 )
| ~ ( v17_lattices @ SV109 )
| ( v3_realset2 @ SV109 )
| ~ ( l3_lattices @ SV109 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(872,plain,
! [SV39: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK9_B @ SV39 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV39 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l1_struct_0 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(873,plain,
! [SV39: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV39 ) ) )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l1_struct_0 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(874,plain,
! [SV40: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(875,plain,
( ( ~ ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(876,plain,
( ( ! [SX0: $i] : ( v3_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(877,plain,
! [SV41: $i] :
( ( ( ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ SV41 )
| ( v1_xcmplx_0 @ SY178 ) ) )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(878,plain,
! [SV41: $i] :
( ( ( ! [SY179: $i] :
( ~ ( m1_subset_1 @ SY179 @ SV41 )
| ( v1_xreal_0 @ SY179 ) ) )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(879,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
| ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(880,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ! [SY234: $i] :
( ~ ( m1_relset_1 @ SY234 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY234 )
| ~ ( v1_funct_2 @ SY234 @ SV42 @ SV69 )
| ( v1_funct_2 @ SY234 @ SV42 @ SV69 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(881,plain,
! [SV110: $i,SV43: $i,SV116: $i] :
( ( ~ ( m1_relset_1 @ SV116 @ SV43 @ SV110 )
| ~ ( v1_funct_1 @ SV116 )
| ~ ( v1_partfun1 @ SV116 @ SV43 @ SV110 )
| ( v1_funct_1 @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(882,plain,
! [SV111: $i,SV43: $i,SV117: $i] :
( ( ~ ( m1_relset_1 @ SV117 @ SV43 @ SV111 )
| ~ ( v1_funct_1 @ SV117 )
| ~ ( v1_partfun1 @ SV117 @ SV43 @ SV111 )
| ( v1_funct_2 @ SV117 @ SV43 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(883,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
| ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(884,plain,
! [SV44: $i] :
( ( ( ! [SY193: $i] :
( ~ ( m1_subset_1 @ SY193 @ SV44 )
| ( v1_rat_1 @ SY193 ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(885,plain,
! [SV45: $i] :
( ( ( ! [SY194: $i] :
( ~ ( m1_subset_1 @ SY194 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v1_membered @ SY194 ) ) )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(886,plain,
! [SV45: $i] :
( ( ( ! [SY195: $i] :
( ~ ( m1_subset_1 @ SY195 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v2_membered @ SY195 ) ) )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(887,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(888,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v15_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(889,plain,
! [SV89: $i] :
( ( ( l3_lattices @ SV89 )
= $false )
| ( ( ( v3_struct_0 @ SV89 )
| ~ ( v15_lattices @ SV89 )
| ( v14_lattices @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(890,plain,
! [SV90: $i] :
( ( ( l3_lattices @ SV90 )
= $false )
| ( ( ( v3_struct_0 @ SV90 )
| ~ ( v13_lattices @ SV90 )
| ~ ( v14_lattices @ SV90 )
| ~ ( v3_struct_0 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(891,plain,
! [SV91: $i] :
( ( ( l3_lattices @ SV91 )
= $false )
| ( ( ( v3_struct_0 @ SV91 )
| ~ ( v13_lattices @ SV91 )
| ~ ( v14_lattices @ SV91 )
| ( v15_lattices @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(892,plain,
! [SV92: $i] :
( ( ( l3_lattices @ SV92 )
= $false )
| ( ( l1_lattices @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(893,plain,
! [SV93: $i] :
( ( ( l3_lattices @ SV93 )
= $false )
| ( ( l2_lattices @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(894,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(895,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v4_membered @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(896,plain,
! [SV94: $i] :
( ( ( v1_xboole_0 @ SV94 )
= $false )
| ( ( v5_membered @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(897,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(898,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v15_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(899,plain,
! [SV95: $i] :
( ( ( l3_lattices @ SV95 )
= $false )
| ( ( ( v3_struct_0 @ SV95 )
| ~ ( v17_lattices @ SV95 )
| ( v16_lattices @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(900,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(901,plain,
( ( v4_membered @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(902,plain,
! [SV46: $i] :
( ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( ~ ( v10_lattices @ SV46 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV46 ) )
= $true )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( ~ ( l3_lattices @ SV46 ) )
= $true )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(903,plain,
! [SV70: $i,SV47: $i] :
( ( ( ~ ( ~ ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(904,plain,
! [SV70: $i,SV47: $i] :
( ( ( ! [SY237: $i] :
( ~ ( m1_relset_1 @ SY237 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY237 )
| ~ ( v1_funct_2 @ SY237 @ SV47 @ SV70 )
| ( v1_funct_2 @ SY237 @ SV47 @ SV70 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(905,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ( m1_relset_1 @ ( sK11_C @ SV71 @ SV48 ) @ SV48 @ SV71 )
| ~ ( v1_relat_1 @ ( sK11_C @ SV71 @ SV48 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(906,plain,
! [SV49: $i,SV72: $i] :
( ( ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) )
= $true )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(907,plain,
! [SV49: $i,SV72: $i] :
( ( ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
| ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) )
= $true )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(908,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(909,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(910,plain,
! [SV96: $i] :
( ( ( l3_lattices @ SV96 )
= $false )
| ( ( ( v3_struct_0 @ SV96 )
| ~ ( v10_lattices @ SV96 )
| ( v9_lattices @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(911,plain,
! [SV112: $i,SV97: $i] :
( ( ( ~ ( m1_subset_1 @ SV97 @ ( k1_zfmisc_1 @ SV112 ) ) )
= $true )
| ( ( r1_tarski @ SV97 @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(912,plain,
! [SV113: $i,SV98: $i] :
( ( ( ~ ( r1_tarski @ SV98 @ SV113 ) )
= $true )
| ( ( m1_subset_1 @ SV98 @ ( k1_zfmisc_1 @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(913,plain,
! [SV50: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
| ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(914,plain,
! [SV50: $i] :
( ( ( ! [SY209: $i] :
( ~ ( m1_subset_1 @ SY209 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v4_membered @ SY209 ) ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(915,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(916,plain,
( ( v17_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(917,plain,
! [SV99: $i] :
( ( ( v4_finsub_1 @ SV99 )
= $false )
| ( ( v1_finsub_1 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(918,plain,
! [SV100: $i] :
( ( ( v4_finsub_1 @ SV100 )
= $false )
| ( ( v3_finsub_1 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(919,plain,
! [SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
| ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(920,plain,
! [SV51: $i] :
( ( ( ! [SY214: $i] :
( ~ ( m1_subset_1 @ SY214 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v5_membered @ SY214 ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(921,plain,
! [SV101: $i] :
( ( ( ( v3_struct_0 @ SV101 )
| ~ ( v10_lattices @ SV101 )
| ~ ( v17_lattices @ SV101 )
| ( v3_realset2 @ SV101 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV101 ) )
= $true )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(922,plain,
! [SV102: $i] :
( ( ( ( v3_struct_0 @ SV102 )
| ~ ( v10_lattices @ SV102 )
| ~ ( v17_lattices @ SV102 )
| ( v3_realset2 @ SV102 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV102 ) )
= $true )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(923,plain,
! [SV103: $i] :
( ( ( l3_lattices @ SV103 )
= $false )
| ( ( ( v3_struct_0 @ SV103 )
| ~ ( v11_lattices @ SV103 )
| ~ ( v15_lattices @ SV103 )
| ~ ( v16_lattices @ SV103 )
| ~ ( v3_struct_0 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(924,plain,
! [SV104: $i] :
( ( ( l3_lattices @ SV104 )
= $false )
| ( ( ( v3_struct_0 @ SV104 )
| ~ ( v11_lattices @ SV104 )
| ~ ( v15_lattices @ SV104 )
| ~ ( v16_lattices @ SV104 )
| ( v17_lattices @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(925,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(926,plain,
( ( v4_membered @ sK20_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(927,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_1 @ ( k9_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(928,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_funct_2 @ ( k9_lopclset @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(929,plain,
! [SV105: $i] :
( ( ( ( v3_struct_0 @ SV105 )
| ~ ( v10_lattices @ SV105 )
| ~ ( v17_lattices @ SV105 )
| ( v3_realset2 @ SV105 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV105 ) )
= $true )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(930,plain,
! [SV114: $i,SV52: $i,SV118: $i] :
( ( ~ ( m1_relset_1 @ SV118 @ SV52 @ SV114 )
| ( m2_relset_1 @ SV118 @ SV52 @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(931,plain,
! [SV115: $i,SV52: $i,SV119: $i] :
( ( ~ ( m2_relset_1 @ SV119 @ SV52 @ SV115 )
| ( m1_relset_1 @ SV119 @ SV52 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(932,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
| ~ ( v1_funct_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(933,plain,
! [SV106: $i] :
( ( ( l3_lattices @ SV106 )
= $false )
| ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 )
| ~ ( v6_lattices @ SV106 )
| ~ ( v7_lattices @ SV106 )
| ~ ( v8_lattices @ SV106 )
| ~ ( v9_lattices @ SV106 )
| ~ ( v3_struct_0 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(934,plain,
! [SV107: $i] :
( ( ( l3_lattices @ SV107 )
= $false )
| ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 )
| ~ ( v6_lattices @ SV107 )
| ~ ( v7_lattices @ SV107 )
| ~ ( v8_lattices @ SV107 )
| ~ ( v9_lattices @ SV107 )
| ( v10_lattices @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(935,plain,
! [SV54: $i] :
( ( ( ~ ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) )
| ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) ) )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(936,plain,
! [SV54: $i] :
( ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v3_membered @ SY222 ) ) )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(937,plain,
( ( m1_filter_0 @ sK3_SY143 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(938,plain,
( ( ~ ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[846]) ).
thf(939,plain,
! [SV76: $i,SV61: $i,SV20: $i] :
( ( ( r2_hidden @ SV20 @ SV61 )
= $false )
| ( ( m1_subset_1 @ SV61 @ ( k1_zfmisc_1 @ SV76 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(940,plain,
! [SV83: $i,SV64: $i,SV77: $i,SV26: $i] :
( ( ( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SV77 )
| ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(941,plain,
! [SV27: $i] :
( ( ( v10_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(942,plain,
! [SV28: $i] :
( ( ( v10_lattices @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(943,plain,
! [SV84: $i,SV65: $i,SV78: $i,SV29: $i] :
( ( ( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SV78 )
| ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(944,plain,
! [SV30: $i] :
( ( ( v10_lattices @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(945,plain,
! [SV79: $i,SV67: $i,SV32: $i] :
( ( ( r2_hidden @ SV32 @ SV67 )
= $false )
| ( ( m1_subset_1 @ SV67 @ ( k1_zfmisc_1 @ SV79 ) )
= $false )
| ( ( m1_subset_1 @ SV32 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(946,plain,
! [SV34: $i] :
( ( ( v10_lattices @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( v17_lattices @ SV34 ) )
= $true )
| ( ( v3_realset2 @ SV34 )
= $true )
| ( ( ~ ( l3_lattices @ SV34 ) )
= $true )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(947,plain,
! [SV35: $i] :
( ( ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) )
| ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) )
= $false )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(948,plain,
! [SV36: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(949,plain,
! [SV36: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(950,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(951,plain,
! [SV120: $i] :
( ( ~ ( l3_lattices @ SV120 )
| ( v3_struct_0 @ SV120 )
| ~ ( v10_lattices @ SV120 )
| ~ ( v11_lattices @ SV120 )
| ( v10_lattices @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(952,plain,
! [SV85: $i] :
( ( ( ( v3_struct_0 @ SV85 )
| ~ ( v10_lattices @ SV85 )
| ~ ( v11_lattices @ SV85 ) )
= $true )
| ( ( v12_lattices @ SV85 )
= $true )
| ( ( l3_lattices @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(953,plain,
! [SV37: $i] :
( ( ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) )
= $false )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(954,plain,
! [SV37: $i,SV121: $i] :
( ( ( ~ ( m1_subset_1 @ SV121 @ SV37 )
| ( v1_rat_1 @ SV121 ) )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(955,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
| ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(956,plain,
! [SV38: $i,SV122: $i] :
( ( ( ~ ( m1_subset_1 @ SV122 @ SV38 )
| ( v1_rat_1 @ SV122 ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(957,plain,
! [SV86: $i,SV108: $i] :
( ( ( ( v3_struct_0 @ SV108 )
| ~ ( v10_lattices @ SV108 )
| ~ ( v17_lattices @ SV108 )
| ( v3_realset2 @ SV108 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV108 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(958,plain,
! [SV87: $i,SV109: $i] :
( ( ( ( v3_struct_0 @ SV109 )
| ~ ( v10_lattices @ SV109 )
| ~ ( v17_lattices @ SV109 )
| ( v3_realset2 @ SV109 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV109 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(959,plain,
! [SV39: $i] :
( ( ( m1_subset_1 @ ( sK9_B @ SV39 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV39 ) ) )
= $true )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l1_struct_0 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(960,plain,
! [SV39: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK9_B @ SV39 ) ) )
= $true )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l1_struct_0 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(961,plain,
! [SV40: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(962,plain,
! [SV40: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(963,plain,
( ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(964,plain,
! [SV123: $i] :
( ( v3_finsub_1 @ ( k1_zfmisc_1 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(965,plain,
! [SV41: $i,SV124: $i] :
( ( ( ~ ( m1_subset_1 @ SV124 @ SV41 )
| ( v1_xcmplx_0 @ SV124 ) )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(966,plain,
! [SV41: $i,SV125: $i] :
( ( ( ~ ( m1_subset_1 @ SV125 @ SV41 )
| ( v1_xreal_0 @ SV125 ) )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(967,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
| ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[879]) ).
thf(968,plain,
! [SV69: $i,SV42: $i] :
( ( ( ! [SY234: $i] :
( ~ ( m1_relset_1 @ SY234 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY234 )
| ~ ( v1_funct_2 @ SY234 @ SV42 @ SV69 )
| ( v1_funct_2 @ SY234 @ SV42 @ SV69 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(969,plain,
! [SV110: $i,SV43: $i,SV116: $i] :
( ( ( ~ ( m1_relset_1 @ SV116 @ SV43 @ SV110 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV116 )
| ~ ( v1_partfun1 @ SV116 @ SV43 @ SV110 )
| ( v1_funct_1 @ SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(970,plain,
! [SV111: $i,SV43: $i,SV117: $i] :
( ( ( ~ ( m1_relset_1 @ SV117 @ SV43 @ SV111 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV117 )
| ~ ( v1_partfun1 @ SV117 @ SV43 @ SV111 )
| ( v1_funct_2 @ SV117 @ SV43 @ SV111 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(971,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
| ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(972,plain,
! [SV44: $i,SV126: $i] :
( ( ( ~ ( m1_subset_1 @ SV126 @ SV44 )
| ( v1_rat_1 @ SV126 ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(973,plain,
! [SV45: $i,SV127: $i] :
( ( ( ~ ( m1_subset_1 @ SV127 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v1_membered @ SV127 ) )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(974,plain,
! [SV45: $i,SV128: $i] :
( ( ( ~ ( m1_subset_1 @ SV128 @ ( k1_zfmisc_1 @ SV45 ) )
| ( v2_membered @ SV128 ) )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(975,plain,
! [SV129: $i] :
( ( ~ ( l3_lattices @ SV129 )
| ( v3_struct_0 @ SV129 )
| ~ ( v15_lattices @ SV129 )
| ~ ( v3_struct_0 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(976,plain,
! [SV130: $i] :
( ( ~ ( l3_lattices @ SV130 )
| ( v3_struct_0 @ SV130 )
| ~ ( v15_lattices @ SV130 )
| ( v13_lattices @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(977,plain,
! [SV89: $i] :
( ( ( ( v3_struct_0 @ SV89 )
| ~ ( v15_lattices @ SV89 ) )
= $true )
| ( ( v14_lattices @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(978,plain,
! [SV90: $i] :
( ( ( ( v3_struct_0 @ SV90 )
| ~ ( v13_lattices @ SV90 )
| ~ ( v14_lattices @ SV90 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV90 ) )
= $true )
| ( ( l3_lattices @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(979,plain,
! [SV91: $i] :
( ( ( ( v3_struct_0 @ SV91 )
| ~ ( v13_lattices @ SV91 )
| ~ ( v14_lattices @ SV91 ) )
= $true )
| ( ( v15_lattices @ SV91 )
= $true )
| ( ( l3_lattices @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(980,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(981,plain,
! [SV131: $i] :
( ( ~ ( v1_xboole_0 @ SV131 )
| ( v4_membered @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(982,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(983,plain,
! [SV132: $i] :
( ( ~ ( l3_lattices @ SV132 )
| ( v3_struct_0 @ SV132 )
| ~ ( v17_lattices @ SV132 )
| ( v15_lattices @ SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(984,plain,
! [SV95: $i] :
( ( ( ( v3_struct_0 @ SV95 )
| ~ ( v17_lattices @ SV95 ) )
= $true )
| ( ( v16_lattices @ SV95 )
= $true )
| ( ( l3_lattices @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(985,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
| ~ ( v3_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(986,plain,
! [SV46: $i] :
( ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( ~ ( v17_lattices @ SV46 ) )
= $true )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( ~ ( l3_lattices @ SV46 ) )
= $true )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(987,plain,
! [SV70: $i,SV47: $i] :
( ( ( ~ ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) )
| ~ ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(988,plain,
! [SV70: $i,SV47: $i,SV133: $i] :
( ( ( ~ ( m1_relset_1 @ SV133 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SV133 )
| ~ ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
| ( v1_funct_2 @ SV133 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(989,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ( m1_relset_1 @ ( sK11_C @ SV71 @ SV48 ) @ SV48 @ SV71 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(990,plain,
! [SV48: $i,SV71: $i] :
( ( ~ ( v1_relat_1 @ ( sK11_C @ SV71 @ SV48 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(991,plain,
! [SV49: $i,SV72: $i] :
( ( ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) )
= $true )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(992,plain,
! [SV49: $i,SV72: $i] :
( ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
= $true )
| ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 )
= $true )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(993,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(994,plain,
! [SV134: $i] :
( ( ~ ( l3_lattices @ SV134 )
| ( v3_struct_0 @ SV134 )
| ~ ( v10_lattices @ SV134 )
| ( v8_lattices @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(995,plain,
! [SV96: $i] :
( ( ( ( v3_struct_0 @ SV96 )
| ~ ( v10_lattices @ SV96 ) )
= $true )
| ( ( v9_lattices @ SV96 )
= $true )
| ( ( l3_lattices @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(996,plain,
! [SV112: $i,SV97: $i] :
( ( ( m1_subset_1 @ SV97 @ ( k1_zfmisc_1 @ SV112 ) )
= $false )
| ( ( r1_tarski @ SV97 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(997,plain,
! [SV113: $i,SV98: $i] :
( ( ( r1_tarski @ SV98 @ SV113 )
= $false )
| ( ( m1_subset_1 @ SV98 @ ( k1_zfmisc_1 @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(998,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
| ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(999,plain,
! [SV50: $i,SV135: $i] :
( ( ( ~ ( m1_subset_1 @ SV135 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v4_membered @ SV135 ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1000,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
| ~ ( v16_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(1001,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
| ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(1002,plain,
! [SV51: $i,SV136: $i] :
( ( ( ~ ( m1_subset_1 @ SV136 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v5_membered @ SV136 ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1003,plain,
! [SV101: $i] :
( ( ( ( v3_struct_0 @ SV101 )
| ~ ( v10_lattices @ SV101 )
| ~ ( v17_lattices @ SV101 ) )
= $true )
| ( ( v3_realset2 @ SV101 )
= $true )
| ( ( ~ ( l3_lattices @ SV101 ) )
= $true )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(1004,plain,
! [SV102: $i] :
( ( ( ( v3_struct_0 @ SV102 )
| ~ ( v10_lattices @ SV102 )
| ~ ( v17_lattices @ SV102 ) )
= $true )
| ( ( v3_realset2 @ SV102 )
= $true )
| ( ( ~ ( l3_lattices @ SV102 ) )
= $true )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(1005,plain,
! [SV103: $i] :
( ( ( ( v3_struct_0 @ SV103 )
| ~ ( v11_lattices @ SV103 )
| ~ ( v15_lattices @ SV103 )
| ~ ( v16_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(1006,plain,
! [SV104: $i] :
( ( ( ( v3_struct_0 @ SV104 )
| ~ ( v11_lattices @ SV104 )
| ~ ( v15_lattices @ SV104 )
| ~ ( v16_lattices @ SV104 ) )
= $true )
| ( ( v17_lattices @ SV104 )
= $true )
| ( ( l3_lattices @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(1007,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
| ~ ( v3_membered @ sK20_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(1008,plain,
! [SV137: $i] :
( ( ( v3_struct_0 @ SV137 )
| ~ ( v10_lattices @ SV137 )
| ~ ( v17_lattices @ SV137 )
| ( v3_realset2 @ SV137 )
| ~ ( l3_lattices @ SV137 )
| ( v1_funct_1 @ ( k9_lopclset @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1009,plain,
! [SV138: $i] :
( ( ( v3_struct_0 @ SV138 )
| ~ ( v10_lattices @ SV138 )
| ~ ( v17_lattices @ SV138 )
| ( v3_realset2 @ SV138 )
| ~ ( l3_lattices @ SV138 )
| ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1010,plain,
! [SV105: $i] :
( ( ( ( v3_struct_0 @ SV105 )
| ~ ( v10_lattices @ SV105 )
| ~ ( v17_lattices @ SV105 ) )
= $true )
| ( ( v3_realset2 @ SV105 )
= $true )
| ( ( ~ ( l3_lattices @ SV105 ) )
= $true )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(1011,plain,
! [SV114: $i,SV52: $i,SV118: $i] :
( ( ( ~ ( m1_relset_1 @ SV118 @ SV52 @ SV114 ) )
= $true )
| ( ( m2_relset_1 @ SV118 @ SV52 @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(1012,plain,
! [SV115: $i,SV52: $i,SV119: $i] :
( ( ( ~ ( m2_relset_1 @ SV119 @ SV52 @ SV115 ) )
= $true )
| ( ( m1_relset_1 @ SV119 @ SV52 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1013,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(1014,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( v1_funct_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(1015,plain,
! [SV106: $i] :
( ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 )
| ~ ( v6_lattices @ SV106 )
| ~ ( v7_lattices @ SV106 )
| ~ ( v8_lattices @ SV106 )
| ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(1016,plain,
! [SV107: $i] :
( ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 )
| ~ ( v6_lattices @ SV107 )
| ~ ( v7_lattices @ SV107 )
| ~ ( v8_lattices @ SV107 )
| ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1017,plain,
! [SV54: $i] :
( ( ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) )
| ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) )
= $false )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1018,plain,
! [SV54: $i,SV139: $i] :
( ( ( ~ ( m1_subset_1 @ SV139 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v3_membered @ SV139 ) )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1019,plain,
( ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
| ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1020,plain,
! [SV20: $i,SV61: $i,SV76: $i] :
( ( ( v1_xboole_0 @ SV76 )
= $false )
| ( ( m1_subset_1 @ SV61 @ ( k1_zfmisc_1 @ SV76 ) )
= $false )
| ( ( r2_hidden @ SV20 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(1021,plain,
! [SV83: $i,SV64: $i,SV77: $i,SV26: $i] :
( ( ( ( v1_xboole_0 @ SV26 )
| ~ ( v1_funct_1 @ SV77 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(1022,plain,
! [SV27: $i] :
( ( ( v17_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( v10_lattices @ SV27 )
= $false )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1023,plain,
! [SV28: $i] :
( ( ( v17_lattices @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v10_lattices @ SV28 )
= $false )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1024,plain,
! [SV84: $i,SV65: $i,SV78: $i,SV29: $i] :
( ( ( ( v1_xboole_0 @ SV29 )
| ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1025,plain,
! [SV30: $i] :
( ( ( v17_lattices @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v10_lattices @ SV30 )
= $false )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1026,plain,
! [SV34: $i] :
( ( ( v17_lattices @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v10_lattices @ SV34 )
= $false )
| ( ( v3_realset2 @ SV34 )
= $true )
| ( ( ~ ( l3_lattices @ SV34 ) )
= $true )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1027,plain,
! [SV35: $i] :
( ( ( ~ ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) ) )
= $false )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1028,plain,
! [SV35: $i] :
( ( ( ~ ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) )
= $false )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1029,plain,
! [SV36: $i] :
( ( ( m1_subset_1 @ ( sK19_B @ SV36 ) @ ( k1_zfmisc_1 @ SV36 ) )
= $true )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1030,plain,
! [SV36: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK19_B @ SV36 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1031,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1032,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1033,plain,
! [SV120: $i] :
( ( ( ~ ( l3_lattices @ SV120 ) )
= $true )
| ( ( ( v3_struct_0 @ SV120 )
| ~ ( v10_lattices @ SV120 )
| ~ ( v11_lattices @ SV120 )
| ( v10_lattices @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1034,plain,
! [SV85: $i] :
( ( ( ( v3_struct_0 @ SV85 )
| ~ ( v10_lattices @ SV85 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV85 ) )
= $true )
| ( ( v12_lattices @ SV85 )
= $true )
| ( ( l3_lattices @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1035,plain,
! [SV37: $i] :
( ( ( ~ ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) ) )
= $false )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1036,plain,
! [SV37: $i] :
( ( ( ~ ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) )
= $false )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1037,plain,
! [SV37: $i,SV121: $i] :
( ( ( ~ ( m1_subset_1 @ SV121 @ SV37 ) )
= $true )
| ( ( v1_rat_1 @ SV121 )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1038,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1039,plain,
! [SV38: $i] :
( ( ( ~ ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1040,plain,
! [SV38: $i,SV122: $i] :
( ( ( ~ ( m1_subset_1 @ SV122 @ SV38 ) )
= $true )
| ( ( v1_rat_1 @ SV122 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(1041,plain,
! [SV86: $i,SV108: $i] :
( ( ( ( v3_struct_0 @ SV108 )
| ~ ( v10_lattices @ SV108 )
| ~ ( v17_lattices @ SV108 ) )
= $true )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( ~ ( l3_lattices @ SV108 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1042,plain,
! [SV87: $i,SV109: $i] :
( ( ( ( v3_struct_0 @ SV109 )
| ~ ( v10_lattices @ SV109 )
| ~ ( v17_lattices @ SV109 ) )
= $true )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( ~ ( l3_lattices @ SV109 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(1043,plain,
! [SV39: $i] :
( ( ( v1_xboole_0 @ ( sK9_B @ SV39 ) )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l1_struct_0 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1044,plain,
! [SV40: $i] :
( ( ( m1_subset_1 @ ( sK18_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
= $true )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1045,plain,
! [SV40: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK18_B @ SV40 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1046,plain,
( ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1047,plain,
( ( ~ ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1048,plain,
! [SV41: $i,SV124: $i] :
( ( ( ~ ( m1_subset_1 @ SV124 @ SV41 ) )
= $true )
| ( ( v1_xcmplx_0 @ SV124 )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1049,plain,
! [SV41: $i,SV125: $i] :
( ( ( ~ ( m1_subset_1 @ SV125 @ SV41 ) )
= $true )
| ( ( v1_xreal_0 @ SV125 )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1050,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
| ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(1051,plain,
! [SV69: $i,SV42: $i,SV140: $i] :
( ( ( ~ ( m1_relset_1 @ SV140 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SV140 )
| ~ ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
| ( v1_funct_2 @ SV140 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1052,plain,
! [SV110: $i,SV43: $i,SV116: $i] :
( ( ( m1_relset_1 @ SV116 @ SV43 @ SV110 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV116 )
| ~ ( v1_partfun1 @ SV116 @ SV43 @ SV110 )
| ( v1_funct_1 @ SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1053,plain,
! [SV111: $i,SV43: $i,SV117: $i] :
( ( ( m1_relset_1 @ SV117 @ SV43 @ SV111 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV117 )
| ~ ( v1_partfun1 @ SV117 @ SV43 @ SV111 )
| ( v1_funct_2 @ SV117 @ SV43 @ SV111 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1054,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1055,plain,
! [SV44: $i] :
( ( ( ~ ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1056,plain,
! [SV44: $i,SV126: $i] :
( ( ( ~ ( m1_subset_1 @ SV126 @ SV44 ) )
= $true )
| ( ( v1_rat_1 @ SV126 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1057,plain,
! [SV45: $i,SV127: $i] :
( ( ( ~ ( m1_subset_1 @ SV127 @ ( k1_zfmisc_1 @ SV45 ) ) )
= $true )
| ( ( v1_membered @ SV127 )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1058,plain,
! [SV45: $i,SV128: $i] :
( ( ( ~ ( m1_subset_1 @ SV128 @ ( k1_zfmisc_1 @ SV45 ) ) )
= $true )
| ( ( v2_membered @ SV128 )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(1059,plain,
! [SV129: $i] :
( ( ( ~ ( l3_lattices @ SV129 ) )
= $true )
| ( ( ( v3_struct_0 @ SV129 )
| ~ ( v15_lattices @ SV129 )
| ~ ( v3_struct_0 @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1060,plain,
! [SV130: $i] :
( ( ( ~ ( l3_lattices @ SV130 ) )
= $true )
| ( ( ( v3_struct_0 @ SV130 )
| ~ ( v15_lattices @ SV130 )
| ( v13_lattices @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1061,plain,
! [SV89: $i] :
( ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( ~ ( v15_lattices @ SV89 ) )
= $true )
| ( ( v14_lattices @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1062,plain,
! [SV90: $i] :
( ( ( ( v3_struct_0 @ SV90 )
| ~ ( v13_lattices @ SV90 ) )
= $true )
| ( ( ~ ( v14_lattices @ SV90 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV90 ) )
= $true )
| ( ( l3_lattices @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1063,plain,
! [SV91: $i] :
( ( ( ( v3_struct_0 @ SV91 )
| ~ ( v13_lattices @ SV91 ) )
= $true )
| ( ( ~ ( v14_lattices @ SV91 ) )
= $true )
| ( ( v15_lattices @ SV91 )
= $true )
| ( ( l3_lattices @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1064,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1065,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1066,plain,
! [SV131: $i] :
( ( ( ~ ( v1_xboole_0 @ SV131 ) )
= $true )
| ( ( v4_membered @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1067,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1068,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1069,plain,
! [SV132: $i] :
( ( ( ~ ( l3_lattices @ SV132 ) )
= $true )
| ( ( ( v3_struct_0 @ SV132 )
| ~ ( v17_lattices @ SV132 )
| ( v15_lattices @ SV132 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1070,plain,
! [SV95: $i] :
( ( ( v3_struct_0 @ SV95 )
= $true )
| ( ( ~ ( v17_lattices @ SV95 ) )
= $true )
| ( ( v16_lattices @ SV95 )
= $true )
| ( ( l3_lattices @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1071,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1072,plain,
( ( ~ ( v3_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1073,plain,
! [SV46: $i] :
( ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( ~ ( l3_lattices @ SV46 ) )
= $true )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1074,plain,
! [SV70: $i,SV47: $i] :
( ( ( ~ ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1075,plain,
! [SV70: $i,SV47: $i] :
( ( ( ~ ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[987]) ).
thf(1076,plain,
! [SV70: $i,SV47: $i,SV133: $i] :
( ( ( ~ ( m1_relset_1 @ SV133 @ SV47 @ SV70 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV133 )
| ~ ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
| ( v1_funct_2 @ SV133 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1077,plain,
! [SV48: $i,SV71: $i] :
( ( m1_relset_1 @ ( sK11_C @ SV71 @ SV48 ) @ SV48 @ SV71 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1078,plain,
! [SV48: $i,SV71: $i] :
( ( v1_relat_1 @ ( sK11_C @ SV71 @ SV48 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1079,plain,
! [SV49: $i,SV72: $i] :
( ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
= $false )
| ( ( ~ ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 ) )
= $true )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1080,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1081,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1082,plain,
! [SV134: $i] :
( ( ( ~ ( l3_lattices @ SV134 ) )
= $true )
| ( ( ( v3_struct_0 @ SV134 )
| ~ ( v10_lattices @ SV134 )
| ( v8_lattices @ SV134 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1083,plain,
! [SV96: $i] :
( ( ( v3_struct_0 @ SV96 )
= $true )
| ( ( ~ ( v10_lattices @ SV96 ) )
= $true )
| ( ( v9_lattices @ SV96 )
= $true )
| ( ( l3_lattices @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[995]) ).
thf(1084,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1085,plain,
! [SV50: $i] :
( ( ( ~ ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1086,plain,
! [SV50: $i,SV135: $i] :
( ( ( ~ ( m1_subset_1 @ SV135 @ ( k1_zfmisc_1 @ SV50 ) ) )
= $true )
| ( ( v4_membered @ SV135 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1087,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1088,plain,
( ( ~ ( v16_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1089,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1090,plain,
! [SV51: $i] :
( ( ( ~ ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1091,plain,
! [SV51: $i,SV136: $i] :
( ( ( ~ ( m1_subset_1 @ SV136 @ ( k1_zfmisc_1 @ SV51 ) ) )
= $true )
| ( ( v5_membered @ SV136 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1092,plain,
! [SV101: $i] :
( ( ( ( v3_struct_0 @ SV101 )
| ~ ( v10_lattices @ SV101 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV101 ) )
= $true )
| ( ( v3_realset2 @ SV101 )
= $true )
| ( ( ~ ( l3_lattices @ SV101 ) )
= $true )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1093,plain,
! [SV102: $i] :
( ( ( ( v3_struct_0 @ SV102 )
| ~ ( v10_lattices @ SV102 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV102 ) )
= $true )
| ( ( v3_realset2 @ SV102 )
= $true )
| ( ( ~ ( l3_lattices @ SV102 ) )
= $true )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1094,plain,
! [SV103: $i] :
( ( ( ( v3_struct_0 @ SV103 )
| ~ ( v11_lattices @ SV103 )
| ~ ( v15_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1095,plain,
! [SV104: $i] :
( ( ( ( v3_struct_0 @ SV104 )
| ~ ( v11_lattices @ SV104 )
| ~ ( v15_lattices @ SV104 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV104 ) )
= $true )
| ( ( v17_lattices @ SV104 )
= $true )
| ( ( l3_lattices @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1096,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1097,plain,
( ( ~ ( v3_membered @ sK20_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1098,plain,
! [SV137: $i] :
( ( ( ( v3_struct_0 @ SV137 )
| ~ ( v10_lattices @ SV137 )
| ~ ( v17_lattices @ SV137 )
| ( v3_realset2 @ SV137 )
| ~ ( l3_lattices @ SV137 ) )
= $true )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1099,plain,
! [SV138: $i] :
( ( ( ( v3_struct_0 @ SV138 )
| ~ ( v10_lattices @ SV138 )
| ~ ( v17_lattices @ SV138 )
| ( v3_realset2 @ SV138 )
| ~ ( l3_lattices @ SV138 ) )
= $true )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1100,plain,
! [SV105: $i] :
( ( ( ( v3_struct_0 @ SV105 )
| ~ ( v10_lattices @ SV105 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV105 ) )
= $true )
| ( ( v3_realset2 @ SV105 )
= $true )
| ( ( ~ ( l3_lattices @ SV105 ) )
= $true )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1010]) ).
thf(1101,plain,
! [SV114: $i,SV52: $i,SV118: $i] :
( ( ( m1_relset_1 @ SV118 @ SV52 @ SV114 )
= $false )
| ( ( m2_relset_1 @ SV118 @ SV52 @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1102,plain,
! [SV115: $i,SV52: $i,SV119: $i] :
( ( ( m2_relset_1 @ SV119 @ SV52 @ SV115 )
= $false )
| ( ( m1_relset_1 @ SV119 @ SV52 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1103,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1104,plain,
! [SV53: $i,SV73: $i] :
( ( v1_funct_1 @ ( sK12_C @ SV73 @ SV53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1105,plain,
! [SV106: $i] :
( ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 )
| ~ ( v6_lattices @ SV106 )
| ~ ( v7_lattices @ SV106 )
| ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1106,plain,
! [SV107: $i] :
( ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 )
| ~ ( v6_lattices @ SV107 )
| ~ ( v7_lattices @ SV107 )
| ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1107,plain,
! [SV54: $i] :
( ( ( ~ ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) ) )
= $false )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1108,plain,
! [SV54: $i] :
( ( ( ~ ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) )
= $false )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1109,plain,
! [SV54: $i,SV139: $i] :
( ( ( ~ ( m1_subset_1 @ SV139 @ ( k1_zfmisc_1 @ SV54 ) ) )
= $true )
| ( ( v3_membered @ SV139 )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1110,plain,
( ( ~ ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1111,plain,
( ( ~ ( r2_hidden @ sK2_SY141 @ sK3_SY143 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1112,plain,
! [SV83: $i,SV64: $i,SV77: $i,SV26: $i] :
( ( ( v1_xboole_0 @ SV26 )
= $true )
| ( ( ~ ( v1_funct_1 @ SV77 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1113,plain,
! [SV27: $i] :
( ( ( l3_lattices @ SV27 )
= $false )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( v10_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( v17_lattices @ SV27 )
= $false )
| ( ( ( k9_lopclset @ SV27 )
= ( k8_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1114,plain,
! [SV28: $i] :
( ( ( l3_lattices @ SV28 )
= $false )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( v10_lattices @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v17_lattices @ SV28 )
= $false )
| ( ( m1_subset_1 @ ( k7_lopclset @ SV28 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1115,plain,
! [SV84: $i,SV65: $i,SV78: $i,SV29: $i] :
( ( ( v1_xboole_0 @ SV29 )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1116,plain,
! [SV30: $i] :
( ( ( l3_lattices @ SV30 )
= $false )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( v10_lattices @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v17_lattices @ SV30 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1117,plain,
! [SV34: $i] :
( ( ( l3_lattices @ SV34 )
= $false )
| ( ( v3_realset2 @ SV34 )
= $true )
| ( ( v10_lattices @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v17_lattices @ SV34 )
= $false )
| ( ( ( k7_lopclset @ SV34 )
= ( a_1_1_lopclset @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1118,plain,
! [SV35: $i] :
( ( ( ! [SY169: $i] :
( ~ ( m1_filter_0 @ SY169 @ SV35 )
| ~ ( v1_xboole_0 @ SY169 ) ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1119,plain,
! [SV35: $i] :
( ( ( ! [SY170: $i] :
( ~ ( m1_filter_0 @ SY170 @ SV35 )
| ( m1_subset_1 @ SY170 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1120,plain,
! [SV36: $i] :
( ( ( v1_xboole_0 @ ( sK19_B @ SV36 ) )
= $false )
| ( ( v1_xboole_0 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1121,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1122,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1123,plain,
! [SV120: $i] :
( ( ( l3_lattices @ SV120 )
= $false )
| ( ( ( v3_struct_0 @ SV120 )
| ~ ( v10_lattices @ SV120 )
| ~ ( v11_lattices @ SV120 )
| ( v10_lattices @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1124,plain,
! [SV85: $i] :
( ( ( v3_struct_0 @ SV85 )
= $true )
| ( ( ~ ( v10_lattices @ SV85 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV85 ) )
= $true )
| ( ( v12_lattices @ SV85 )
= $true )
| ( ( l3_lattices @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1125,plain,
! [SV37: $i] :
( ( ( ! [SY171: $i] :
( ~ ( m1_subset_1 @ SY171 @ SV37 )
| ( v1_xcmplx_0 @ SY171 ) ) )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1126,plain,
! [SV37: $i] :
( ( ( ! [SY172: $i] :
( ~ ( m1_subset_1 @ SY172 @ SV37 )
| ( v1_xreal_0 @ SY172 ) ) )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1127,plain,
! [SV37: $i,SV121: $i] :
( ( ( m1_subset_1 @ SV121 @ SV37 )
= $false )
| ( ( v1_rat_1 @ SV121 )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1128,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1129,plain,
! [SV38: $i] :
( ( ( ! [SY176: $i] :
( ~ ( m1_subset_1 @ SY176 @ SV38 )
| ( v1_int_1 @ SY176 ) ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1130,plain,
! [SV38: $i,SV122: $i] :
( ( ( m1_subset_1 @ SV122 @ SV38 )
= $false )
| ( ( v1_rat_1 @ SV122 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1131,plain,
! [SV86: $i,SV108: $i] :
( ( ( ( v3_struct_0 @ SV108 )
| ~ ( v10_lattices @ SV108 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV108 ) )
= $true )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( ~ ( l3_lattices @ SV108 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1132,plain,
! [SV87: $i,SV109: $i] :
( ( ( ( v3_struct_0 @ SV109 )
| ~ ( v10_lattices @ SV109 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV109 ) )
= $true )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( ~ ( l3_lattices @ SV109 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1133,plain,
! [SV40: $i] :
( ( ( v1_xboole_0 @ ( sK18_B @ SV40 ) )
= $false )
| ( ( v1_xboole_0 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1134,plain,
( ( ! [SX0: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1135,plain,
( ( ! [SX0: $i] : ( v1_finsub_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1136,plain,
! [SV41: $i,SV124: $i] :
( ( ( m1_subset_1 @ SV124 @ SV41 )
= $false )
| ( ( v1_xcmplx_0 @ SV124 )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1137,plain,
! [SV41: $i,SV125: $i] :
( ( ( m1_subset_1 @ SV125 @ SV41 )
= $false )
| ( ( v1_xreal_0 @ SV125 )
= $true )
| ( ( v2_membered @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1138,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1139,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1050]) ).
thf(1140,plain,
! [SV69: $i,SV42: $i,SV140: $i] :
( ( ( ~ ( m1_relset_1 @ SV140 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV140 )
| ~ ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
| ( v1_funct_2 @ SV140 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1141,plain,
! [SV110: $i,SV43: $i,SV116: $i] :
( ( ( ~ ( v1_funct_1 @ SV116 )
| ~ ( v1_partfun1 @ SV116 @ SV43 @ SV110 ) )
= $true )
| ( ( v1_funct_1 @ SV116 )
= $true )
| ( ( m1_relset_1 @ SV116 @ SV43 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1142,plain,
! [SV111: $i,SV43: $i,SV117: $i] :
( ( ( ~ ( v1_funct_1 @ SV117 )
| ~ ( v1_partfun1 @ SV117 @ SV43 @ SV111 ) )
= $true )
| ( ( v1_funct_2 @ SV117 @ SV43 @ SV111 )
= $true )
| ( ( m1_relset_1 @ SV117 @ SV43 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1143,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1144,plain,
! [SV44: $i] :
( ( ( ! [SY192: $i] :
( ~ ( m1_subset_1 @ SY192 @ SV44 )
| ( v1_int_1 @ SY192 ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1145,plain,
! [SV44: $i,SV126: $i] :
( ( ( m1_subset_1 @ SV126 @ SV44 )
= $false )
| ( ( v1_rat_1 @ SV126 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1146,plain,
! [SV45: $i,SV127: $i] :
( ( ( m1_subset_1 @ SV127 @ ( k1_zfmisc_1 @ SV45 ) )
= $false )
| ( ( v1_membered @ SV127 )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1147,plain,
! [SV45: $i,SV128: $i] :
( ( ( m1_subset_1 @ SV128 @ ( k1_zfmisc_1 @ SV45 ) )
= $false )
| ( ( v2_membered @ SV128 )
= $true )
| ( ( v2_membered @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1148,plain,
! [SV129: $i] :
( ( ( l3_lattices @ SV129 )
= $false )
| ( ( ( v3_struct_0 @ SV129 )
| ~ ( v15_lattices @ SV129 )
| ~ ( v3_struct_0 @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1149,plain,
! [SV130: $i] :
( ( ( l3_lattices @ SV130 )
= $false )
| ( ( ( v3_struct_0 @ SV130 )
| ~ ( v15_lattices @ SV130 )
| ( v13_lattices @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1150,plain,
! [SV89: $i] :
( ( ( v15_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( v14_lattices @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1151,plain,
! [SV90: $i] :
( ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( ~ ( v13_lattices @ SV90 ) )
= $true )
| ( ( ~ ( v14_lattices @ SV90 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV90 ) )
= $true )
| ( ( l3_lattices @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1152,plain,
! [SV91: $i] :
( ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( ~ ( v13_lattices @ SV91 ) )
= $true )
| ( ( ~ ( v14_lattices @ SV91 ) )
= $true )
| ( ( v15_lattices @ SV91 )
= $true )
| ( ( l3_lattices @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1153,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1154,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v3_membered @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1155,plain,
! [SV131: $i] :
( ( ( v1_xboole_0 @ SV131 )
= $false )
| ( ( v4_membered @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1156,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1157,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v14_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1158,plain,
! [SV132: $i] :
( ( ( l3_lattices @ SV132 )
= $false )
| ( ( ( v3_struct_0 @ SV132 )
| ~ ( v17_lattices @ SV132 )
| ( v15_lattices @ SV132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1159,plain,
! [SV95: $i] :
( ( ( v17_lattices @ SV95 )
= $false )
| ( ( v3_struct_0 @ SV95 )
= $true )
| ( ( v16_lattices @ SV95 )
= $true )
| ( ( l3_lattices @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1160,plain,
( ( ~ ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1161,plain,
( ( v3_membered @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1162,plain,
! [SV46: $i] :
( ( ( l3_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( ! [SY196: $i] :
( ~ ( m1_subset_1 @ SY196 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY197: $i] :
( ~ ( m1_filter_0 @ SY197 @ SV46 )
| ~ ( r2_hidden @ SY196 @ SY197 )
| ~ ( v1_filter_0 @ SY197 @ SV46 )
| ( r2_hidden @ SY197 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) ) )
| ~ ~ ( ~ ! [SY198: $i] :
( ~ ( m1_filter_0 @ SY198 @ SV46 )
| ~ ( r2_hidden @ SY198 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( r2_hidden @ SY196 @ SY198 ) )
| ~ ! [SY199: $i] :
( ~ ( m1_filter_0 @ SY199 @ SV46 )
| ~ ( r2_hidden @ SY199 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SY196 ) )
| ( v1_filter_0 @ SY199 @ SV46 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1163,plain,
! [SV70: $i,SV47: $i] :
( ( ( ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY235 )
| ~ ( v1_funct_2 @ SY235 @ SV47 @ SV70 )
| ( v1_funct_1 @ SY235 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1164,plain,
! [SV70: $i,SV47: $i] :
( ( ( ! [SY236: $i] :
( ~ ( m1_relset_1 @ SY236 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SY236 )
| ~ ( v1_funct_2 @ SY236 @ SV47 @ SV70 )
| ( v1_partfun1 @ SY236 @ SV47 @ SV70 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1165,plain,
! [SV70: $i,SV47: $i,SV133: $i] :
( ( ( m1_relset_1 @ SV133 @ SV47 @ SV70 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV133 )
| ~ ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
| ( v1_funct_2 @ SV133 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1166,plain,
! [SV49: $i,SV72: $i] :
( ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV72 )
= $false )
| ( ( r2_hidden @ ( sK8_C @ SV72 @ SV49 ) @ SV49 )
= $false )
| ( ( SV49 = SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1167,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1168,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1169,plain,
! [SV134: $i] :
( ( ( l3_lattices @ SV134 )
= $false )
| ( ( ( v3_struct_0 @ SV134 )
| ~ ( v10_lattices @ SV134 )
| ( v8_lattices @ SV134 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1170,plain,
! [SV96: $i] :
( ( ( v10_lattices @ SV96 )
= $false )
| ( ( v3_struct_0 @ SV96 )
= $true )
| ( ( v9_lattices @ SV96 )
= $true )
| ( ( l3_lattices @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1171,plain,
! [SV50: $i] :
( ( ( ~ ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1172,plain,
! [SV50: $i] :
( ( ( ! [SY208: $i] :
( ~ ( m1_subset_1 @ SY208 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SY208 ) ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1173,plain,
! [SV50: $i,SV135: $i] :
( ( ( m1_subset_1 @ SV135 @ ( k1_zfmisc_1 @ SV50 ) )
= $false )
| ( ( v4_membered @ SV135 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1174,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1175,plain,
( ( v16_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1088]) ).
thf(1176,plain,
! [SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1089]) ).
thf(1177,plain,
! [SV51: $i] :
( ( ( ! [SY213: $i] :
( ~ ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SY213 ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1178,plain,
! [SV51: $i,SV136: $i] :
( ( ( m1_subset_1 @ SV136 @ ( k1_zfmisc_1 @ SV51 ) )
= $false )
| ( ( v5_membered @ SV136 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1179,plain,
! [SV101: $i] :
( ( ( v3_struct_0 @ SV101 )
= $true )
| ( ( ~ ( v10_lattices @ SV101 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV101 ) )
= $true )
| ( ( v3_realset2 @ SV101 )
= $true )
| ( ( ~ ( l3_lattices @ SV101 ) )
= $true )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1180,plain,
! [SV102: $i] :
( ( ( v3_struct_0 @ SV102 )
= $true )
| ( ( ~ ( v10_lattices @ SV102 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV102 ) )
= $true )
| ( ( v3_realset2 @ SV102 )
= $true )
| ( ( ~ ( l3_lattices @ SV102 ) )
= $true )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1181,plain,
! [SV103: $i] :
( ( ( ( v3_struct_0 @ SV103 )
| ~ ( v11_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v15_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1182,plain,
! [SV104: $i] :
( ( ( ( v3_struct_0 @ SV104 )
| ~ ( v11_lattices @ SV104 ) )
= $true )
| ( ( ~ ( v15_lattices @ SV104 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV104 ) )
= $true )
| ( ( v17_lattices @ SV104 )
= $true )
| ( ( l3_lattices @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1183,plain,
( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1184,plain,
( ( v3_membered @ sK20_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1185,plain,
! [SV137: $i] :
( ( ( ( v3_struct_0 @ SV137 )
| ~ ( v10_lattices @ SV137 )
| ~ ( v17_lattices @ SV137 )
| ( v3_realset2 @ SV137 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV137 ) )
= $true )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1186,plain,
! [SV138: $i] :
( ( ( ( v3_struct_0 @ SV138 )
| ~ ( v10_lattices @ SV138 )
| ~ ( v17_lattices @ SV138 )
| ( v3_realset2 @ SV138 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV138 ) )
= $true )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1187,plain,
! [SV105: $i] :
( ( ( v3_struct_0 @ SV105 )
= $true )
| ( ( ~ ( v10_lattices @ SV105 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV105 ) )
= $true )
| ( ( v3_realset2 @ SV105 )
= $true )
| ( ( ~ ( l3_lattices @ SV105 ) )
= $true )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1188,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
| ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1189,plain,
! [SV106: $i] :
( ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 )
| ~ ( v6_lattices @ SV106 )
| ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1190,plain,
! [SV107: $i] :
( ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 )
| ~ ( v6_lattices @ SV107 )
| ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1191,plain,
! [SV54: $i] :
( ( ( ! [SY220: $i] :
( ~ ( m1_subset_1 @ SY220 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SY220 ) ) )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1192,plain,
! [SV54: $i] :
( ( ( ! [SY221: $i] :
( ~ ( m1_subset_1 @ SY221 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SY221 ) ) )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1193,plain,
! [SV54: $i,SV139: $i] :
( ( ( m1_subset_1 @ SV139 @ ( k1_zfmisc_1 @ SV54 ) )
= $false )
| ( ( v3_membered @ SV139 )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1194,plain,
( ( ~ ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1195,plain,
( ( r2_hidden @ sK2_SY141 @ sK3_SY143 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1196,plain,
! [SV83: $i,SV64: $i,SV26: $i,SV77: $i] :
( ( ( v1_funct_1 @ SV77 )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true )
| ( ( ~ ( v1_funct_2 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1197,plain,
! [SV84: $i,SV65: $i,SV29: $i,SV78: $i] :
( ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( v1_xboole_0 @ SV29 )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1198,plain,
! [SV30: $i] :
( ( ( v1_xboole_0 @ ( k7_lopclset @ SV30 ) )
= $false )
| ( ( v17_lattices @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v10_lattices @ SV30 )
= $false )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( l3_lattices @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1199,plain,
! [SV35: $i,SV141: $i] :
( ( ( ~ ( m1_filter_0 @ SV141 @ SV35 )
| ~ ( v1_xboole_0 @ SV141 ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1200,plain,
! [SV35: $i,SV142: $i] :
( ( ( ~ ( m1_filter_0 @ SV142 @ SV35 )
| ( m1_subset_1 @ SV142 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1201,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1202,plain,
! [SV143: $i] :
( ( ~ ( l3_lattices @ SV143 )
| ( v3_struct_0 @ SV143 )
| ~ ( v10_lattices @ SV143 )
| ~ ( v11_lattices @ SV143 )
| ( v9_lattices @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1203,plain,
! [SV120: $i] :
( ( ( ( v3_struct_0 @ SV120 )
| ~ ( v10_lattices @ SV120 )
| ~ ( v11_lattices @ SV120 ) )
= $true )
| ( ( v10_lattices @ SV120 )
= $true )
| ( ( l3_lattices @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1204,plain,
! [SV85: $i] :
( ( ( v10_lattices @ SV85 )
= $false )
| ( ( v3_struct_0 @ SV85 )
= $true )
| ( ( ~ ( v11_lattices @ SV85 ) )
= $true )
| ( ( v12_lattices @ SV85 )
= $true )
| ( ( l3_lattices @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1205,plain,
! [SV37: $i,SV144: $i] :
( ( ( ~ ( m1_subset_1 @ SV144 @ SV37 )
| ( v1_xcmplx_0 @ SV144 ) )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1206,plain,
! [SV37: $i,SV145: $i] :
( ( ( ~ ( m1_subset_1 @ SV145 @ SV37 )
| ( v1_xreal_0 @ SV145 ) )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1207,plain,
! [SV38: $i] :
( ( ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) )
| ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1208,plain,
! [SV38: $i,SV146: $i] :
( ( ( ~ ( m1_subset_1 @ SV146 @ SV38 )
| ( v1_int_1 @ SV146 ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1209,plain,
! [SV86: $i,SV108: $i] :
( ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( ~ ( v10_lattices @ SV108 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV108 ) )
= $true )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( ~ ( l3_lattices @ SV108 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1131]) ).
thf(1210,plain,
! [SV87: $i,SV109: $i] :
( ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( ~ ( v10_lattices @ SV109 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV109 ) )
= $true )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( ~ ( l3_lattices @ SV109 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1211,plain,
! [SV147: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1212,plain,
! [SV148: $i] :
( ( v1_finsub_1 @ ( k1_zfmisc_1 @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1213,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1214,plain,
! [SV69: $i,SV42: $i] :
( ( ( ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY233 )
| ~ ( v1_funct_2 @ SY233 @ SV42 @ SV69 )
| ( v1_partfun1 @ SY233 @ SV42 @ SV69 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1215,plain,
! [SV69: $i,SV42: $i,SV140: $i] :
( ( ( m1_relset_1 @ SV140 @ SV42 @ SV69 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV140 )
| ~ ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
| ( v1_funct_2 @ SV140 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1216,plain,
! [SV110: $i,SV43: $i,SV116: $i] :
( ( ( ~ ( v1_funct_1 @ SV116 ) )
= $true )
| ( ( ~ ( v1_partfun1 @ SV116 @ SV43 @ SV110 ) )
= $true )
| ( ( v1_funct_1 @ SV116 )
= $true )
| ( ( m1_relset_1 @ SV116 @ SV43 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1217,plain,
! [SV111: $i,SV43: $i,SV117: $i] :
( ( ( ~ ( v1_funct_1 @ SV117 ) )
= $true )
| ( ( ~ ( v1_partfun1 @ SV117 @ SV43 @ SV111 ) )
= $true )
| ( ( v1_funct_2 @ SV117 @ SV43 @ SV111 )
= $true )
| ( ( m1_relset_1 @ SV117 @ SV43 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1218,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
| ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1219,plain,
! [SV44: $i,SV149: $i] :
( ( ( ~ ( m1_subset_1 @ SV149 @ SV44 )
| ( v1_int_1 @ SV149 ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1220,plain,
! [SV129: $i] :
( ( ( ( v3_struct_0 @ SV129 )
| ~ ( v15_lattices @ SV129 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV129 ) )
= $true )
| ( ( l3_lattices @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1221,plain,
! [SV130: $i] :
( ( ( ( v3_struct_0 @ SV130 )
| ~ ( v15_lattices @ SV130 ) )
= $true )
| ( ( v13_lattices @ SV130 )
= $true )
| ( ( l3_lattices @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1222,plain,
! [SV90: $i] :
( ( ( v13_lattices @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( ~ ( v14_lattices @ SV90 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV90 ) )
= $true )
| ( ( l3_lattices @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1223,plain,
! [SV91: $i] :
( ( ( v13_lattices @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( ~ ( v14_lattices @ SV91 ) )
= $true )
| ( ( v15_lattices @ SV91 )
= $true )
| ( ( l3_lattices @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1224,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1225,plain,
! [SV150: $i] :
( ( ~ ( v1_xboole_0 @ SV150 )
| ( v3_membered @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1226,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1227,plain,
! [SV151: $i] :
( ( ~ ( l3_lattices @ SV151 )
| ( v3_struct_0 @ SV151 )
| ~ ( v17_lattices @ SV151 )
| ( v14_lattices @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1228,plain,
! [SV132: $i] :
( ( ( ( v3_struct_0 @ SV132 )
| ~ ( v17_lattices @ SV132 ) )
= $true )
| ( ( v15_lattices @ SV132 )
= $true )
| ( ( l3_lattices @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1229,plain,
( ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v2_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1230,plain,
! [SV46: $i,SV152: $i] :
( ( ( ~ ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
| ~ ( ~ ! [SY250: $i] :
( ~ ( m1_filter_0 @ SY250 @ SV46 )
| ~ ( r2_hidden @ SV152 @ SY250 )
| ~ ( v1_filter_0 @ SY250 @ SV46 )
| ( r2_hidden @ SY250 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) )
| ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) ) ) )
= $true )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1231,plain,
! [SV70: $i,SV47: $i,SV153: $i] :
( ( ( ~ ( m1_relset_1 @ SV153 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SV153 )
| ~ ( v1_funct_2 @ SV153 @ SV47 @ SV70 )
| ( v1_funct_1 @ SV153 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1232,plain,
! [SV70: $i,SV47: $i,SV154: $i] :
( ( ( ~ ( m1_relset_1 @ SV154 @ SV47 @ SV70 )
| ~ ( v1_funct_1 @ SV154 )
| ~ ( v1_funct_2 @ SV154 @ SV47 @ SV70 )
| ( v1_partfun1 @ SV154 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1233,plain,
! [SV70: $i,SV47: $i,SV133: $i] :
( ( ( ~ ( v1_funct_1 @ SV133 )
| ~ ( v1_funct_2 @ SV133 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV133 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1165]) ).
thf(1234,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1235,plain,
! [SV155: $i] :
( ( ~ ( l3_lattices @ SV155 )
| ( v3_struct_0 @ SV155 )
| ~ ( v10_lattices @ SV155 )
| ( v7_lattices @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1236,plain,
! [SV134: $i] :
( ( ( ( v3_struct_0 @ SV134 )
| ~ ( v10_lattices @ SV134 ) )
= $true )
| ( ( v8_lattices @ SV134 )
= $true )
| ( ( l3_lattices @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1237,plain,
! [SV50: $i] :
( ( ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) )
| ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1238,plain,
! [SV50: $i,SV156: $i] :
( ( ( ~ ( m1_subset_1 @ SV156 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v3_membered @ SV156 ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1239,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
| ~ ( v15_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1240,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
| ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1241,plain,
! [SV51: $i,SV157: $i] :
( ( ( ~ ( m1_subset_1 @ SV157 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v4_membered @ SV157 ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1242,plain,
! [SV101: $i] :
( ( ( v10_lattices @ SV101 )
= $false )
| ( ( v3_struct_0 @ SV101 )
= $true )
| ( ( ~ ( v17_lattices @ SV101 ) )
= $true )
| ( ( v3_realset2 @ SV101 )
= $true )
| ( ( ~ ( l3_lattices @ SV101 ) )
= $true )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1243,plain,
! [SV102: $i] :
( ( ( v10_lattices @ SV102 )
= $false )
| ( ( v3_struct_0 @ SV102 )
= $true )
| ( ( ~ ( v17_lattices @ SV102 ) )
= $true )
| ( ( v3_realset2 @ SV102 )
= $true )
| ( ( ~ ( l3_lattices @ SV102 ) )
= $true )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1244,plain,
! [SV103: $i] :
( ( ( v3_struct_0 @ SV103 )
= $true )
| ( ( ~ ( v11_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v15_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1245,plain,
! [SV104: $i] :
( ( ( v3_struct_0 @ SV104 )
= $true )
| ( ( ~ ( v11_lattices @ SV104 ) )
= $true )
| ( ( ~ ( v15_lattices @ SV104 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV104 ) )
= $true )
| ( ( v17_lattices @ SV104 )
= $true )
| ( ( l3_lattices @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1246,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
| ~ ( v2_membered @ sK20_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1247,plain,
! [SV137: $i] :
( ( ( ( v3_struct_0 @ SV137 )
| ~ ( v10_lattices @ SV137 )
| ~ ( v17_lattices @ SV137 ) )
= $true )
| ( ( v3_realset2 @ SV137 )
= $true )
| ( ( ~ ( l3_lattices @ SV137 ) )
= $true )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1248,plain,
! [SV138: $i] :
( ( ( ( v3_struct_0 @ SV138 )
| ~ ( v10_lattices @ SV138 )
| ~ ( v17_lattices @ SV138 ) )
= $true )
| ( ( v3_realset2 @ SV138 )
= $true )
| ( ( ~ ( l3_lattices @ SV138 ) )
= $true )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1249,plain,
! [SV105: $i] :
( ( ( v10_lattices @ SV105 )
= $false )
| ( ( v3_struct_0 @ SV105 )
= $true )
| ( ( ~ ( v17_lattices @ SV105 ) )
= $true )
| ( ( v3_realset2 @ SV105 )
= $true )
| ( ( ~ ( l3_lattices @ SV105 ) )
= $true )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1250,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1251,plain,
! [SV53: $i,SV73: $i] :
( ( ~ ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1252,plain,
! [SV106: $i] :
( ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 )
| ~ ( v6_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1253,plain,
! [SV107: $i] :
( ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 )
| ~ ( v6_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1254,plain,
! [SV54: $i,SV158: $i] :
( ( ( ~ ( m1_subset_1 @ SV158 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v1_membered @ SV158 ) )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1255,plain,
! [SV54: $i,SV159: $i] :
( ( ( ~ ( m1_subset_1 @ SV159 @ ( k1_zfmisc_1 @ SV54 ) )
| ( v2_membered @ SV159 ) )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1256,plain,
( ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A )
| ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1257,plain,
! [SV83: $i,SV64: $i,SV26: $i,SV77: $i] :
( ( ( v1_funct_2 @ SV77 @ SV26 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true )
| ( ( v1_funct_1 @ SV77 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV77 @ SV26 @ SV64 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1258,plain,
! [SV84: $i,SV65: $i,SV29: $i,SV78: $i] :
( ( ( v1_funct_2 @ SV78 @ SV29 @ SV65 )
= $false )
| ( ( v1_xboole_0 @ SV29 )
= $true )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV78 @ SV29 @ SV65 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1259,plain,
! [SV35: $i,SV141: $i] :
( ( ( ~ ( m1_filter_0 @ SV141 @ SV35 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV141 ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1260,plain,
! [SV35: $i,SV142: $i] :
( ( ( ~ ( m1_filter_0 @ SV142 @ SV35 ) )
= $true )
| ( ( m1_subset_1 @ SV142 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1261,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1262,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1263,plain,
! [SV143: $i] :
( ( ( ~ ( l3_lattices @ SV143 ) )
= $true )
| ( ( ( v3_struct_0 @ SV143 )
| ~ ( v10_lattices @ SV143 )
| ~ ( v11_lattices @ SV143 )
| ( v9_lattices @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1202]) ).
thf(1264,plain,
! [SV120: $i] :
( ( ( ( v3_struct_0 @ SV120 )
| ~ ( v10_lattices @ SV120 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV120 ) )
= $true )
| ( ( v10_lattices @ SV120 )
= $true )
| ( ( l3_lattices @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1265,plain,
! [SV85: $i] :
( ( ( v11_lattices @ SV85 )
= $false )
| ( ( v3_struct_0 @ SV85 )
= $true )
| ( ( v10_lattices @ SV85 )
= $false )
| ( ( v12_lattices @ SV85 )
= $true )
| ( ( l3_lattices @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1266,plain,
! [SV37: $i,SV144: $i] :
( ( ( ~ ( m1_subset_1 @ SV144 @ SV37 ) )
= $true )
| ( ( v1_xcmplx_0 @ SV144 )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1267,plain,
! [SV37: $i,SV145: $i] :
( ( ( ~ ( m1_subset_1 @ SV145 @ SV37 ) )
= $true )
| ( ( v1_xreal_0 @ SV145 )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1268,plain,
! [SV38: $i] :
( ( ( ~ ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1269,plain,
! [SV38: $i] :
( ( ( ~ ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
= $false )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1270,plain,
! [SV38: $i,SV146: $i] :
( ( ( ~ ( m1_subset_1 @ SV146 @ SV38 ) )
= $true )
| ( ( v1_int_1 @ SV146 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1271,plain,
! [SV86: $i,SV108: $i] :
( ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( ~ ( v17_lattices @ SV108 ) )
= $true )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( ~ ( l3_lattices @ SV108 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1272,plain,
! [SV87: $i,SV109: $i] :
( ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( ~ ( v17_lattices @ SV109 ) )
= $true )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( ~ ( l3_lattices @ SV109 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1273,plain,
! [SV147: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV147 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1274,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) )
| ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1275,plain,
! [SV69: $i,SV42: $i,SV160: $i] :
( ( ( ~ ( m1_relset_1 @ SV160 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SV160 )
| ~ ( v1_funct_2 @ SV160 @ SV42 @ SV69 )
| ( v1_partfun1 @ SV160 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1276,plain,
! [SV69: $i,SV42: $i,SV140: $i] :
( ( ( ~ ( v1_funct_1 @ SV140 )
| ~ ( v1_funct_2 @ SV140 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV140 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1277,plain,
! [SV110: $i,SV43: $i,SV116: $i] :
( ( ( v1_funct_1 @ SV116 )
= $false )
| ( ( ~ ( v1_partfun1 @ SV116 @ SV43 @ SV110 ) )
= $true )
| ( ( v1_funct_1 @ SV116 )
= $true )
| ( ( m1_relset_1 @ SV116 @ SV43 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1278,plain,
! [SV111: $i,SV43: $i,SV117: $i] :
( ( ( v1_funct_1 @ SV117 )
= $false )
| ( ( ~ ( v1_partfun1 @ SV117 @ SV43 @ SV111 ) )
= $true )
| ( ( v1_funct_2 @ SV117 @ SV43 @ SV111 )
= $true )
| ( ( m1_relset_1 @ SV117 @ SV43 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1279,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1280,plain,
! [SV44: $i] :
( ( ( ~ ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1281,plain,
! [SV44: $i,SV149: $i] :
( ( ( ~ ( m1_subset_1 @ SV149 @ SV44 ) )
= $true )
| ( ( v1_int_1 @ SV149 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1282,plain,
! [SV129: $i] :
( ( ( v3_struct_0 @ SV129 )
= $true )
| ( ( ~ ( v15_lattices @ SV129 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV129 ) )
= $true )
| ( ( l3_lattices @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1283,plain,
! [SV130: $i] :
( ( ( v3_struct_0 @ SV130 )
= $true )
| ( ( ~ ( v15_lattices @ SV130 ) )
= $true )
| ( ( v13_lattices @ SV130 )
= $true )
| ( ( l3_lattices @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1284,plain,
! [SV90: $i] :
( ( ( v14_lattices @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v13_lattices @ SV90 )
= $false )
| ( ( ~ ( v3_struct_0 @ SV90 ) )
= $true )
| ( ( l3_lattices @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1285,plain,
! [SV91: $i] :
( ( ( v14_lattices @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v13_lattices @ SV91 )
= $false )
| ( ( v15_lattices @ SV91 )
= $true )
| ( ( l3_lattices @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1286,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1287,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1288,plain,
! [SV150: $i] :
( ( ( ~ ( v1_xboole_0 @ SV150 ) )
= $true )
| ( ( v3_membered @ SV150 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1289,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1290,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1291,plain,
! [SV151: $i] :
( ( ( ~ ( l3_lattices @ SV151 ) )
= $true )
| ( ( ( v3_struct_0 @ SV151 )
| ~ ( v17_lattices @ SV151 )
| ( v14_lattices @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1292,plain,
! [SV132: $i] :
( ( ( v3_struct_0 @ SV132 )
= $true )
| ( ( ~ ( v17_lattices @ SV132 ) )
= $true )
| ( ( v15_lattices @ SV132 )
= $true )
| ( ( l3_lattices @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1293,plain,
( ( ~ ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1294,plain,
( ( ~ ( v2_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1295,plain,
! [SV46: $i,SV152: $i] :
( ( ( ~ ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY250: $i] :
( ~ ( m1_filter_0 @ SY250 @ SV46 )
| ~ ( r2_hidden @ SV152 @ SY250 )
| ~ ( v1_filter_0 @ SY250 @ SV46 )
| ( r2_hidden @ SY250 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) )
| ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) ) ) )
= $true )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1296,plain,
! [SV70: $i,SV47: $i,SV153: $i] :
( ( ( ~ ( m1_relset_1 @ SV153 @ SV47 @ SV70 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV153 )
| ~ ( v1_funct_2 @ SV153 @ SV47 @ SV70 )
| ( v1_funct_1 @ SV153 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1297,plain,
! [SV70: $i,SV47: $i,SV154: $i] :
( ( ( ~ ( m1_relset_1 @ SV154 @ SV47 @ SV70 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV154 )
| ~ ( v1_funct_2 @ SV154 @ SV47 @ SV70 )
| ( v1_partfun1 @ SV154 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1298,plain,
! [SV70: $i,SV47: $i,SV133: $i] :
( ( ( ~ ( v1_funct_1 @ SV133 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV133 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV133 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1299,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1300,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1301,plain,
! [SV155: $i] :
( ( ( ~ ( l3_lattices @ SV155 ) )
= $true )
| ( ( ( v3_struct_0 @ SV155 )
| ~ ( v10_lattices @ SV155 )
| ( v7_lattices @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1302,plain,
! [SV134: $i] :
( ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( ~ ( v10_lattices @ SV134 ) )
= $true )
| ( ( v8_lattices @ SV134 )
= $true )
| ( ( l3_lattices @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1236]) ).
thf(1303,plain,
! [SV50: $i] :
( ( ( ~ ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1304,plain,
! [SV50: $i] :
( ( ( ~ ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
= $false )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1305,plain,
! [SV50: $i,SV156: $i] :
( ( ( ~ ( m1_subset_1 @ SV156 @ ( k1_zfmisc_1 @ SV50 ) ) )
= $true )
| ( ( v3_membered @ SV156 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1306,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1307,plain,
( ( ~ ( v15_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1308,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1309,plain,
! [SV51: $i] :
( ( ( ~ ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1310,plain,
! [SV51: $i,SV157: $i] :
( ( ( ~ ( m1_subset_1 @ SV157 @ ( k1_zfmisc_1 @ SV51 ) ) )
= $true )
| ( ( v4_membered @ SV157 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1311,plain,
! [SV101: $i] :
( ( ( v17_lattices @ SV101 )
= $false )
| ( ( v3_struct_0 @ SV101 )
= $true )
| ( ( v10_lattices @ SV101 )
= $false )
| ( ( v3_realset2 @ SV101 )
= $true )
| ( ( ~ ( l3_lattices @ SV101 ) )
= $true )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1312,plain,
! [SV102: $i] :
( ( ( v17_lattices @ SV102 )
= $false )
| ( ( v3_struct_0 @ SV102 )
= $true )
| ( ( v10_lattices @ SV102 )
= $false )
| ( ( v3_realset2 @ SV102 )
= $true )
| ( ( ~ ( l3_lattices @ SV102 ) )
= $true )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1313,plain,
! [SV103: $i] :
( ( ( v11_lattices @ SV103 )
= $false )
| ( ( v3_struct_0 @ SV103 )
= $true )
| ( ( ~ ( v15_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1314,plain,
! [SV104: $i] :
( ( ( v11_lattices @ SV104 )
= $false )
| ( ( v3_struct_0 @ SV104 )
= $true )
| ( ( ~ ( v15_lattices @ SV104 ) )
= $true )
| ( ( ~ ( v16_lattices @ SV104 ) )
= $true )
| ( ( v17_lattices @ SV104 )
= $true )
| ( ( l3_lattices @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1315,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1316,plain,
( ( ~ ( v2_membered @ sK20_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1317,plain,
! [SV137: $i] :
( ( ( ( v3_struct_0 @ SV137 )
| ~ ( v10_lattices @ SV137 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV137 ) )
= $true )
| ( ( v3_realset2 @ SV137 )
= $true )
| ( ( ~ ( l3_lattices @ SV137 ) )
= $true )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1247]) ).
thf(1318,plain,
! [SV138: $i] :
( ( ( ( v3_struct_0 @ SV138 )
| ~ ( v10_lattices @ SV138 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV138 ) )
= $true )
| ( ( v3_realset2 @ SV138 )
= $true )
| ( ( ~ ( l3_lattices @ SV138 ) )
= $true )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1248]) ).
thf(1319,plain,
! [SV105: $i] :
( ( ( v17_lattices @ SV105 )
= $false )
| ( ( v3_struct_0 @ SV105 )
= $true )
| ( ( v10_lattices @ SV105 )
= $false )
| ( ( v3_realset2 @ SV105 )
= $true )
| ( ( ~ ( l3_lattices @ SV105 ) )
= $true )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1320,plain,
! [SV53: $i,SV73: $i] :
( ( m1_relset_1 @ ( sK12_C @ SV73 @ SV53 ) @ SV53 @ SV73 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1321,plain,
! [SV53: $i,SV73: $i] :
( ( v1_relat_1 @ ( sK12_C @ SV73 @ SV53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1322,plain,
! [SV106: $i] :
( ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 )
| ~ ( v5_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1252]) ).
thf(1323,plain,
! [SV107: $i] :
( ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 )
| ~ ( v5_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1324,plain,
! [SV54: $i,SV158: $i] :
( ( ( ~ ( m1_subset_1 @ SV158 @ ( k1_zfmisc_1 @ SV54 ) ) )
= $true )
| ( ( v1_membered @ SV158 )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1254]) ).
thf(1325,plain,
! [SV54: $i,SV159: $i] :
( ( ( ~ ( m1_subset_1 @ SV159 @ ( k1_zfmisc_1 @ SV54 ) ) )
= $true )
| ( ( v2_membered @ SV159 )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1326,plain,
( ( ~ ( v1_filter_0 @ sK3_SY143 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1327,plain,
( ( ~ ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1328,plain,
! [SV83: $i,SV64: $i,SV26: $i,SV77: $i] :
( ( ( m1_relset_1 @ SV77 @ SV26 @ SV64 )
= $false )
| ( ( v1_funct_1 @ SV77 )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true )
| ( ( v1_funct_2 @ SV77 @ SV26 @ SV64 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV83 @ SV26 ) )
= $true )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1329,plain,
! [SV84: $i,SV65: $i,SV29: $i,SV78: $i] :
( ( ( m1_relset_1 @ SV78 @ SV29 @ SV65 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( v1_xboole_0 @ SV29 )
= $true )
| ( ( v1_funct_2 @ SV78 @ SV29 @ SV65 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV84 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1330,plain,
! [SV35: $i,SV141: $i] :
( ( ( m1_filter_0 @ SV141 @ SV35 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV141 ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1331,plain,
! [SV35: $i,SV142: $i] :
( ( ( m1_filter_0 @ SV142 @ SV35 )
= $false )
| ( ( m1_subset_1 @ SV142 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV35 ) ) )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1332,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1333,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1334,plain,
! [SV143: $i] :
( ( ( l3_lattices @ SV143 )
= $false )
| ( ( ( v3_struct_0 @ SV143 )
| ~ ( v10_lattices @ SV143 )
| ~ ( v11_lattices @ SV143 )
| ( v9_lattices @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1335,plain,
! [SV120: $i] :
( ( ( v3_struct_0 @ SV120 )
= $true )
| ( ( ~ ( v10_lattices @ SV120 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV120 ) )
= $true )
| ( ( v10_lattices @ SV120 )
= $true )
| ( ( l3_lattices @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1264]) ).
thf(1336,plain,
! [SV37: $i,SV144: $i] :
( ( ( m1_subset_1 @ SV144 @ SV37 )
= $false )
| ( ( v1_xcmplx_0 @ SV144 )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1337,plain,
! [SV37: $i,SV145: $i] :
( ( ( m1_subset_1 @ SV145 @ SV37 )
= $false )
| ( ( v1_xreal_0 @ SV145 )
= $true )
| ( ( v3_membered @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1338,plain,
! [SV38: $i] :
( ( ( ! [SY174: $i] :
( ~ ( m1_subset_1 @ SY174 @ SV38 )
| ( v1_xcmplx_0 @ SY174 ) ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1339,plain,
! [SV38: $i] :
( ( ( ! [SY175: $i] :
( ~ ( m1_subset_1 @ SY175 @ SV38 )
| ( v1_xreal_0 @ SY175 ) ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1340,plain,
! [SV38: $i,SV146: $i] :
( ( ( m1_subset_1 @ SV146 @ SV38 )
= $false )
| ( ( v1_int_1 @ SV146 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1341,plain,
! [SV86: $i,SV108: $i] :
( ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( ~ ( l3_lattices @ SV108 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1342,plain,
! [SV87: $i,SV109: $i] :
( ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( ~ ( l3_lattices @ SV109 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1343,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1344,plain,
! [SV69: $i,SV42: $i] :
( ( ( ~ ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1345,plain,
! [SV69: $i,SV42: $i,SV160: $i] :
( ( ( ~ ( m1_relset_1 @ SV160 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV160 )
| ~ ( v1_funct_2 @ SV160 @ SV42 @ SV69 )
| ( v1_partfun1 @ SV160 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1346,plain,
! [SV69: $i,SV42: $i,SV140: $i] :
( ( ( ~ ( v1_funct_1 @ SV140 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV140 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV140 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1276]) ).
thf(1347,plain,
! [SV110: $i,SV43: $i,SV116: $i] :
( ( ( v1_partfun1 @ SV116 @ SV43 @ SV110 )
= $false )
| ( ( v1_funct_1 @ SV116 )
= $false )
| ( ( v1_funct_1 @ SV116 )
= $true )
| ( ( m1_relset_1 @ SV116 @ SV43 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1348,plain,
! [SV111: $i,SV43: $i,SV117: $i] :
( ( ( v1_partfun1 @ SV117 @ SV43 @ SV111 )
= $false )
| ( ( v1_funct_1 @ SV117 )
= $false )
| ( ( v1_funct_2 @ SV117 @ SV43 @ SV111 )
= $true )
| ( ( m1_relset_1 @ SV117 @ SV43 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1349,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1350,plain,
! [SV44: $i] :
( ( ( ! [SY191: $i] :
( ~ ( m1_subset_1 @ SY191 @ SV44 )
| ( v1_xreal_0 @ SY191 ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1351,plain,
! [SV44: $i,SV149: $i] :
( ( ( m1_subset_1 @ SV149 @ SV44 )
= $false )
| ( ( v1_int_1 @ SV149 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1352,plain,
! [SV129: $i] :
( ( ( v15_lattices @ SV129 )
= $false )
| ( ( v3_struct_0 @ SV129 )
= $true )
| ( ( ~ ( v3_struct_0 @ SV129 ) )
= $true )
| ( ( l3_lattices @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1353,plain,
! [SV130: $i] :
( ( ( v15_lattices @ SV130 )
= $false )
| ( ( v3_struct_0 @ SV130 )
= $true )
| ( ( v13_lattices @ SV130 )
= $true )
| ( ( l3_lattices @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1354,plain,
! [SV90: $i] :
( ( ( v3_struct_0 @ SV90 )
= $false )
| ( ( v13_lattices @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v14_lattices @ SV90 )
= $false )
| ( ( l3_lattices @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1355,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_membered @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1356,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v2_membered @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1357,plain,
! [SV150: $i] :
( ( ( v1_xboole_0 @ SV150 )
= $false )
| ( ( v3_membered @ SV150 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1358,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1359,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v13_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1360,plain,
! [SV151: $i] :
( ( ( l3_lattices @ SV151 )
= $false )
| ( ( ( v3_struct_0 @ SV151 )
| ~ ( v17_lattices @ SV151 )
| ( v14_lattices @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1361,plain,
! [SV132: $i] :
( ( ( v17_lattices @ SV132 )
= $false )
| ( ( v3_struct_0 @ SV132 )
= $true )
| ( ( v15_lattices @ SV132 )
= $true )
| ( ( l3_lattices @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1362,plain,
( ( ~ ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1363,plain,
( ( v2_membered @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1364,plain,
! [SV46: $i,SV152: $i] :
( ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( ~ ( ~ ! [SY250: $i] :
( ~ ( m1_filter_0 @ SY250 @ SV46 )
| ~ ( r2_hidden @ SV152 @ SY250 )
| ~ ( v1_filter_0 @ SY250 @ SV46 )
| ( r2_hidden @ SY250 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) )
| ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) ) ) )
= $true )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1365,plain,
! [SV70: $i,SV47: $i,SV153: $i] :
( ( ( m1_relset_1 @ SV153 @ SV47 @ SV70 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV153 )
| ~ ( v1_funct_2 @ SV153 @ SV47 @ SV70 )
| ( v1_funct_1 @ SV153 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1366,plain,
! [SV70: $i,SV47: $i,SV154: $i] :
( ( ( m1_relset_1 @ SV154 @ SV47 @ SV70 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV154 )
| ~ ( v1_funct_2 @ SV154 @ SV47 @ SV70 )
| ( v1_partfun1 @ SV154 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1367,plain,
! [SV70: $i,SV47: $i,SV133: $i] :
( ( ( v1_funct_1 @ SV133 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV133 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV133 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1368,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1369,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1370,plain,
! [SV155: $i] :
( ( ( l3_lattices @ SV155 )
= $false )
| ( ( ( v3_struct_0 @ SV155 )
| ~ ( v10_lattices @ SV155 )
| ( v7_lattices @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1371,plain,
! [SV134: $i] :
( ( ( v10_lattices @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v8_lattices @ SV134 )
= $true )
| ( ( l3_lattices @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1372,plain,
! [SV50: $i] :
( ( ( ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SY206 ) ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1373,plain,
! [SV50: $i] :
( ( ( ! [SY207: $i] :
( ~ ( m1_subset_1 @ SY207 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SY207 ) ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1374,plain,
! [SV50: $i,SV156: $i] :
( ( ( m1_subset_1 @ SV156 @ ( k1_zfmisc_1 @ SV50 ) )
= $false )
| ( ( v3_membered @ SV156 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1375,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1306]) ).
thf(1376,plain,
( ( v15_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1307]) ).
thf(1377,plain,
! [SV51: $i] :
( ( ( ~ ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1378,plain,
! [SV51: $i] :
( ( ( ! [SY212: $i] :
( ~ ( m1_subset_1 @ SY212 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SY212 ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1379,plain,
! [SV51: $i,SV157: $i] :
( ( ( m1_subset_1 @ SV157 @ ( k1_zfmisc_1 @ SV51 ) )
= $false )
| ( ( v4_membered @ SV157 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1380,plain,
! [SV101: $i] :
( ( ( l3_lattices @ SV101 )
= $false )
| ( ( v3_realset2 @ SV101 )
= $true )
| ( ( v10_lattices @ SV101 )
= $false )
| ( ( v3_struct_0 @ SV101 )
= $true )
| ( ( v17_lattices @ SV101 )
= $false )
| ( ( v1_funct_1 @ ( k8_lopclset @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1381,plain,
! [SV102: $i] :
( ( ( l3_lattices @ SV102 )
= $false )
| ( ( v3_realset2 @ SV102 )
= $true )
| ( ( v10_lattices @ SV102 )
= $false )
| ( ( v3_struct_0 @ SV102 )
= $true )
| ( ( v17_lattices @ SV102 )
= $false )
| ( ( v1_relat_1 @ ( k8_lopclset @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1382,plain,
! [SV103: $i] :
( ( ( v15_lattices @ SV103 )
= $false )
| ( ( v3_struct_0 @ SV103 )
= $true )
| ( ( v11_lattices @ SV103 )
= $false )
| ( ( ~ ( v16_lattices @ SV103 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1383,plain,
! [SV104: $i] :
( ( ( v15_lattices @ SV104 )
= $false )
| ( ( v3_struct_0 @ SV104 )
= $true )
| ( ( v11_lattices @ SV104 )
= $false )
| ( ( ~ ( v16_lattices @ SV104 ) )
= $true )
| ( ( v17_lattices @ SV104 )
= $true )
| ( ( l3_lattices @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1384,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1385,plain,
( ( v2_membered @ sK20_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1386,plain,
! [SV137: $i] :
( ( ( v3_struct_0 @ SV137 )
= $true )
| ( ( ~ ( v10_lattices @ SV137 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV137 ) )
= $true )
| ( ( v3_realset2 @ SV137 )
= $true )
| ( ( ~ ( l3_lattices @ SV137 ) )
= $true )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1317]) ).
thf(1387,plain,
! [SV138: $i] :
( ( ( v3_struct_0 @ SV138 )
= $true )
| ( ( ~ ( v10_lattices @ SV138 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV138 ) )
= $true )
| ( ( v3_realset2 @ SV138 )
= $true )
| ( ( ~ ( l3_lattices @ SV138 ) )
= $true )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1388,plain,
! [SV105: $i] :
( ( ( l3_lattices @ SV105 )
= $false )
| ( ( v3_realset2 @ SV105 )
= $true )
| ( ( v10_lattices @ SV105 )
= $false )
| ( ( v3_struct_0 @ SV105 )
= $true )
| ( ( v17_lattices @ SV105 )
= $false )
| ( ( m2_relset_1 @ ( k9_lopclset @ SV105 ) @ ( u1_struct_0 @ SV105 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1389,plain,
! [SV106: $i] :
( ( ( ( v3_struct_0 @ SV106 )
| ~ ( v4_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1322]) ).
thf(1390,plain,
! [SV107: $i] :
( ( ( ( v3_struct_0 @ SV107 )
| ~ ( v4_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1323]) ).
thf(1391,plain,
! [SV54: $i,SV158: $i] :
( ( ( m1_subset_1 @ SV158 @ ( k1_zfmisc_1 @ SV54 ) )
= $false )
| ( ( v1_membered @ SV158 )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1392,plain,
! [SV54: $i,SV159: $i] :
( ( ( m1_subset_1 @ SV159 @ ( k1_zfmisc_1 @ SV54 ) )
= $false )
| ( ( v2_membered @ SV159 )
= $true )
| ( ( v3_membered @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1393,plain,
( ( v1_filter_0 @ sK3_SY143 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1394,plain,
( ( ~ ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1327]) ).
thf(1395,plain,
! [SV64: $i,SV77: $i,SV26: $i,SV83: $i] :
( ( ( m1_subset_1 @ SV83 @ SV26 )
= $false )
| ( ( v1_funct_2 @ SV77 @ SV26 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true )
| ( ( v1_funct_1 @ SV77 )
= $false )
| ( ( m1_relset_1 @ SV77 @ SV26 @ SV64 )
= $false )
| ( ( ( k8_funct_2 @ SV26 @ SV64 @ SV77 @ SV83 )
= ( k1_funct_1 @ SV77 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1396,plain,
! [SV65: $i,SV78: $i,SV29: $i,SV84: $i] :
( ( ( m1_subset_1 @ SV84 @ SV29 )
= $false )
| ( ( v1_funct_2 @ SV78 @ SV29 @ SV65 )
= $false )
| ( ( v1_xboole_0 @ SV29 )
= $true )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( m1_relset_1 @ SV78 @ SV29 @ SV65 )
= $false )
| ( ( m1_subset_1 @ ( k8_funct_2 @ SV29 @ SV65 @ SV78 @ SV84 ) @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1397,plain,
! [SV35: $i,SV141: $i] :
( ( ( v1_xboole_0 @ SV141 )
= $false )
| ( ( m1_filter_0 @ SV141 @ SV35 )
= $false )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1398,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1399,plain,
! [SV161: $i] :
( ( ~ ( l3_lattices @ SV161 )
| ( v3_struct_0 @ SV161 )
| ~ ( v10_lattices @ SV161 )
| ~ ( v11_lattices @ SV161 )
| ( v8_lattices @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1400,plain,
! [SV143: $i] :
( ( ( ( v3_struct_0 @ SV143 )
| ~ ( v10_lattices @ SV143 )
| ~ ( v11_lattices @ SV143 ) )
= $true )
| ( ( v9_lattices @ SV143 )
= $true )
| ( ( l3_lattices @ SV143 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1401,plain,
! [SV120: $i] :
( ( ( v10_lattices @ SV120 )
= $false )
| ( ( v3_struct_0 @ SV120 )
= $true )
| ( ( ~ ( v11_lattices @ SV120 ) )
= $true )
| ( ( v10_lattices @ SV120 )
= $true )
| ( ( l3_lattices @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1402,plain,
! [SV38: $i,SV162: $i] :
( ( ( ~ ( m1_subset_1 @ SV162 @ SV38 )
| ( v1_xcmplx_0 @ SV162 ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1403,plain,
! [SV38: $i,SV163: $i] :
( ( ( ~ ( m1_subset_1 @ SV163 @ SV38 )
| ( v1_xreal_0 @ SV163 ) )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1404,plain,
! [SV86: $i,SV108: $i] :
( ( ( l3_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) )
| ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1405,plain,
! [SV87: $i,SV109: $i] :
( ( ( l3_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
| ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1406,plain,
! [SV69: $i,SV42: $i] :
( ( ( ! [SY231: $i] :
( ~ ( m1_relset_1 @ SY231 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY231 )
| ~ ( v1_funct_2 @ SY231 @ SV42 @ SV69 )
| ( v1_funct_1 @ SY231 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1407,plain,
! [SV69: $i,SV42: $i] :
( ( ( ! [SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SY232 )
| ~ ( v1_funct_2 @ SY232 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SY232 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1344]) ).
thf(1408,plain,
! [SV69: $i,SV42: $i,SV160: $i] :
( ( ( m1_relset_1 @ SV160 @ SV42 @ SV69 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV160 )
| ~ ( v1_funct_2 @ SV160 @ SV42 @ SV69 )
| ( v1_partfun1 @ SV160 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1409,plain,
! [SV69: $i,SV42: $i,SV140: $i] :
( ( ( v1_funct_1 @ SV140 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV140 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV140 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1410,plain,
! [SV44: $i] :
( ( ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) )
| ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1411,plain,
! [SV44: $i,SV164: $i] :
( ( ( ~ ( m1_subset_1 @ SV164 @ SV44 )
| ( v1_xreal_0 @ SV164 ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1412,plain,
! [SV129: $i] :
( ( ( v3_struct_0 @ SV129 )
= $false )
| ( ( v3_struct_0 @ SV129 )
= $true )
| ( ( v15_lattices @ SV129 )
= $false )
| ( ( l3_lattices @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1413,plain,
! [SV165: $i] :
( ( ~ ( v1_xboole_0 @ SV165 )
| ( v1_membered @ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1414,plain,
! [SV166: $i] :
( ( ~ ( v1_xboole_0 @ SV166 )
| ( v2_membered @ SV166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1415,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1416,plain,
! [SV167: $i] :
( ( ~ ( l3_lattices @ SV167 )
| ( v3_struct_0 @ SV167 )
| ~ ( v17_lattices @ SV167 )
| ( v13_lattices @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1417,plain,
! [SV151: $i] :
( ( ( ( v3_struct_0 @ SV151 )
| ~ ( v17_lattices @ SV151 ) )
= $true )
| ( ( v14_lattices @ SV151 )
= $true )
| ( ( l3_lattices @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1360]) ).
thf(1418,plain,
( ( ~ ( v1_membered @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1419,plain,
! [SV152: $i,SV46: $i] :
( ( ( ~ ! [SY250: $i] :
( ~ ( m1_filter_0 @ SY250 @ SV46 )
| ~ ( r2_hidden @ SV152 @ SY250 )
| ~ ( v1_filter_0 @ SY250 @ SV46 )
| ( r2_hidden @ SY250 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) )
| ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1420,plain,
! [SV70: $i,SV47: $i,SV153: $i] :
( ( ( ~ ( v1_funct_1 @ SV153 )
| ~ ( v1_funct_2 @ SV153 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_funct_1 @ SV153 )
= $true )
| ( ( m1_relset_1 @ SV153 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1421,plain,
! [SV70: $i,SV47: $i,SV154: $i] :
( ( ( ~ ( v1_funct_1 @ SV154 )
| ~ ( v1_funct_2 @ SV154 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_partfun1 @ SV154 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV154 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1422,plain,
! [SV70: $i,SV47: $i,SV133: $i] :
( ( ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
= $false )
| ( ( v1_funct_1 @ SV133 )
= $false )
| ( ( v1_funct_2 @ SV133 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV133 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1423,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1424,plain,
! [SV168: $i] :
( ( ~ ( l3_lattices @ SV168 )
| ( v3_struct_0 @ SV168 )
| ~ ( v10_lattices @ SV168 )
| ( v6_lattices @ SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1425,plain,
! [SV155: $i] :
( ( ( ( v3_struct_0 @ SV155 )
| ~ ( v10_lattices @ SV155 ) )
= $true )
| ( ( v7_lattices @ SV155 )
= $true )
| ( ( l3_lattices @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1426,plain,
! [SV50: $i,SV169: $i] :
( ( ( ~ ( m1_subset_1 @ SV169 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v1_membered @ SV169 ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1427,plain,
! [SV50: $i,SV170: $i] :
( ( ( ~ ( m1_subset_1 @ SV170 @ ( k1_zfmisc_1 @ SV50 ) )
| ( v2_membered @ SV170 ) )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1428,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
| ~ ( v14_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1429,plain,
! [SV51: $i] :
( ( ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1430,plain,
! [SV51: $i,SV171: $i] :
( ( ( ~ ( m1_subset_1 @ SV171 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v3_membered @ SV171 ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1431,plain,
! [SV103: $i] :
( ( ( v16_lattices @ SV103 )
= $false )
| ( ( v11_lattices @ SV103 )
= $false )
| ( ( v3_struct_0 @ SV103 )
= $true )
| ( ( v15_lattices @ SV103 )
= $false )
| ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1432,plain,
! [SV104: $i] :
( ( ( v16_lattices @ SV104 )
= $false )
| ( ( v11_lattices @ SV104 )
= $false )
| ( ( v3_struct_0 @ SV104 )
= $true )
| ( ( v15_lattices @ SV104 )
= $false )
| ( ( v17_lattices @ SV104 )
= $true )
| ( ( l3_lattices @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1433,plain,
( ( ~ ~ ( v1_xboole_0 @ sK20_A )
| ~ ( v1_membered @ sK20_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1434,plain,
! [SV137: $i] :
( ( ( v10_lattices @ SV137 )
= $false )
| ( ( v3_struct_0 @ SV137 )
= $true )
| ( ( ~ ( v17_lattices @ SV137 ) )
= $true )
| ( ( v3_realset2 @ SV137 )
= $true )
| ( ( ~ ( l3_lattices @ SV137 ) )
= $true )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1435,plain,
! [SV138: $i] :
( ( ( v10_lattices @ SV138 )
= $false )
| ( ( v3_struct_0 @ SV138 )
= $true )
| ( ( ~ ( v17_lattices @ SV138 ) )
= $true )
| ( ( v3_realset2 @ SV138 )
= $true )
| ( ( ~ ( l3_lattices @ SV138 ) )
= $true )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1436,plain,
! [SV106: $i] :
( ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( ~ ( v4_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1437,plain,
! [SV107: $i] :
( ( ( v3_struct_0 @ SV107 )
= $true )
| ( ( ~ ( v4_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1390]) ).
thf(1438,plain,
( ( r2_hidden @ sK3_SY143 @ ( k8_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ sK1_A ) ) @ ( k9_lopclset @ sK1_A ) @ sK2_SY141 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1439,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1440,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1441,plain,
! [SV161: $i] :
( ( ( ~ ( l3_lattices @ SV161 ) )
= $true )
| ( ( ( v3_struct_0 @ SV161 )
| ~ ( v10_lattices @ SV161 )
| ~ ( v11_lattices @ SV161 )
| ( v8_lattices @ SV161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1442,plain,
! [SV143: $i] :
( ( ( ( v3_struct_0 @ SV143 )
| ~ ( v10_lattices @ SV143 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV143 ) )
= $true )
| ( ( v9_lattices @ SV143 )
= $true )
| ( ( l3_lattices @ SV143 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1443,plain,
! [SV120: $i] :
( ( ( v11_lattices @ SV120 )
= $false )
| ( ( v3_struct_0 @ SV120 )
= $true )
| ( ( v10_lattices @ SV120 )
= $false )
| ( ( v10_lattices @ SV120 )
= $true )
| ( ( l3_lattices @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1444,plain,
! [SV38: $i,SV162: $i] :
( ( ( ~ ( m1_subset_1 @ SV162 @ SV38 ) )
= $true )
| ( ( v1_xcmplx_0 @ SV162 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1445,plain,
! [SV38: $i,SV163: $i] :
( ( ( ~ ( m1_subset_1 @ SV163 @ SV38 ) )
= $true )
| ( ( v1_xreal_0 @ SV163 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1446,plain,
! [SV108: $i,SV86: $i] :
( ( ( ! [SY245: $i] :
( ( SV86 != SY245 )
| ~ ( m1_filter_0 @ SY245 @ SV108 )
| ~ ( v1_filter_0 @ SY245 @ SV108 ) ) )
= $true )
| ( ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( l3_lattices @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1404]) ).
thf(1447,plain,
! [SV109: $i,SV87: $i] :
( ( ( ~ ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1405]) ).
thf(1448,plain,
! [SV69: $i,SV42: $i,SV172: $i] :
( ( ( ~ ( m1_relset_1 @ SV172 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SV172 )
| ~ ( v1_funct_2 @ SV172 @ SV42 @ SV69 )
| ( v1_funct_1 @ SV172 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1449,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( ~ ( m1_relset_1 @ SV173 @ SV42 @ SV69 )
| ~ ( v1_funct_1 @ SV173 )
| ~ ( v1_funct_2 @ SV173 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SV173 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1450,plain,
! [SV69: $i,SV42: $i,SV160: $i] :
( ( ( ~ ( v1_funct_1 @ SV160 )
| ~ ( v1_funct_2 @ SV160 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_partfun1 @ SV160 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV160 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1451,plain,
! [SV69: $i,SV42: $i,SV140: $i] :
( ( ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV140 )
= $false )
| ( ( v1_funct_2 @ SV140 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV140 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1452,plain,
! [SV44: $i] :
( ( ( ~ ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1453,plain,
! [SV44: $i] :
( ( ( ~ ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
= $false )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1454,plain,
! [SV44: $i,SV164: $i] :
( ( ( ~ ( m1_subset_1 @ SV164 @ SV44 ) )
= $true )
| ( ( v1_xreal_0 @ SV164 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1455,plain,
! [SV165: $i] :
( ( ( ~ ( v1_xboole_0 @ SV165 ) )
= $true )
| ( ( v1_membered @ SV165 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1413]) ).
thf(1456,plain,
! [SV166: $i] :
( ( ( ~ ( v1_xboole_0 @ SV166 ) )
= $true )
| ( ( v2_membered @ SV166 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1414]) ).
thf(1457,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1458,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1459,plain,
! [SV167: $i] :
( ( ( ~ ( l3_lattices @ SV167 ) )
= $true )
| ( ( ( v3_struct_0 @ SV167 )
| ~ ( v17_lattices @ SV167 )
| ( v13_lattices @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1416]) ).
thf(1460,plain,
! [SV151: $i] :
( ( ( v3_struct_0 @ SV151 )
= $true )
| ( ( ~ ( v17_lattices @ SV151 ) )
= $true )
| ( ( v14_lattices @ SV151 )
= $true )
| ( ( l3_lattices @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1461,plain,
( ( ~ ( v1_membered @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1462,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1463,plain,
! [SV152: $i,SV46: $i] :
( ( ( ~ ! [SY250: $i] :
( ~ ( m1_filter_0 @ SY250 @ SV46 )
| ~ ( r2_hidden @ SV152 @ SY250 )
| ~ ( v1_filter_0 @ SY250 @ SV46 )
| ( r2_hidden @ SY250 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1419]) ).
thf(1464,plain,
! [SV152: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) )
| ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1419]) ).
thf(1465,plain,
! [SV70: $i,SV47: $i,SV153: $i] :
( ( ( ~ ( v1_funct_1 @ SV153 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV153 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_funct_1 @ SV153 )
= $true )
| ( ( m1_relset_1 @ SV153 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1466,plain,
! [SV70: $i,SV47: $i,SV154: $i] :
( ( ( ~ ( v1_funct_1 @ SV154 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV154 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_partfun1 @ SV154 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV154 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1467,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1423]) ).
thf(1468,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1423]) ).
thf(1469,plain,
! [SV168: $i] :
( ( ( ~ ( l3_lattices @ SV168 ) )
= $true )
| ( ( ( v3_struct_0 @ SV168 )
| ~ ( v10_lattices @ SV168 )
| ( v6_lattices @ SV168 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1470,plain,
! [SV155: $i] :
( ( ( v3_struct_0 @ SV155 )
= $true )
| ( ( ~ ( v10_lattices @ SV155 ) )
= $true )
| ( ( v7_lattices @ SV155 )
= $true )
| ( ( l3_lattices @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1425]) ).
thf(1471,plain,
! [SV50: $i,SV169: $i] :
( ( ( ~ ( m1_subset_1 @ SV169 @ ( k1_zfmisc_1 @ SV50 ) ) )
= $true )
| ( ( v1_membered @ SV169 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1426]) ).
thf(1472,plain,
! [SV50: $i,SV170: $i] :
( ( ( ~ ( m1_subset_1 @ SV170 @ ( k1_zfmisc_1 @ SV50 ) ) )
= $true )
| ( ( v2_membered @ SV170 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1427]) ).
thf(1473,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1474,plain,
( ( ~ ( v14_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1475,plain,
! [SV51: $i] :
( ( ( ~ ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1476,plain,
! [SV51: $i] :
( ( ( ~ ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
= $false )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1477,plain,
! [SV51: $i,SV171: $i] :
( ( ( ~ ( m1_subset_1 @ SV171 @ ( k1_zfmisc_1 @ SV51 ) ) )
= $true )
| ( ( v3_membered @ SV171 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1478,plain,
! [SV103: $i] :
( ( ( v3_struct_0 @ SV103 )
= $false )
| ( ( v15_lattices @ SV103 )
= $false )
| ( ( v3_struct_0 @ SV103 )
= $true )
| ( ( v11_lattices @ SV103 )
= $false )
| ( ( v16_lattices @ SV103 )
= $false )
| ( ( l3_lattices @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1479,plain,
( ( ~ ~ ( v1_xboole_0 @ sK20_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1480,plain,
( ( ~ ( v1_membered @ sK20_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1481,plain,
! [SV137: $i] :
( ( ( v17_lattices @ SV137 )
= $false )
| ( ( v3_struct_0 @ SV137 )
= $true )
| ( ( v10_lattices @ SV137 )
= $false )
| ( ( v3_realset2 @ SV137 )
= $true )
| ( ( ~ ( l3_lattices @ SV137 ) )
= $true )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1482,plain,
! [SV138: $i] :
( ( ( v17_lattices @ SV138 )
= $false )
| ( ( v3_struct_0 @ SV138 )
= $true )
| ( ( v10_lattices @ SV138 )
= $false )
| ( ( v3_realset2 @ SV138 )
= $true )
| ( ( ~ ( l3_lattices @ SV138 ) )
= $true )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1483,plain,
! [SV106: $i] :
( ( ( v4_lattices @ SV106 )
= $false )
| ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( ~ ( v5_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1484,plain,
! [SV107: $i] :
( ( ( v4_lattices @ SV107 )
= $false )
| ( ( v3_struct_0 @ SV107 )
= $true )
| ( ( ~ ( v5_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1485,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1486,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1487,plain,
! [SV161: $i] :
( ( ( l3_lattices @ SV161 )
= $false )
| ( ( ( v3_struct_0 @ SV161 )
| ~ ( v10_lattices @ SV161 )
| ~ ( v11_lattices @ SV161 )
| ( v8_lattices @ SV161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1488,plain,
! [SV143: $i] :
( ( ( v3_struct_0 @ SV143 )
= $true )
| ( ( ~ ( v10_lattices @ SV143 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV143 ) )
= $true )
| ( ( v9_lattices @ SV143 )
= $true )
| ( ( l3_lattices @ SV143 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1442]) ).
thf(1489,plain,
! [SV38: $i,SV162: $i] :
( ( ( m1_subset_1 @ SV162 @ SV38 )
= $false )
| ( ( v1_xcmplx_0 @ SV162 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1490,plain,
! [SV38: $i,SV163: $i] :
( ( ( m1_subset_1 @ SV163 @ SV38 )
= $false )
| ( ( v1_xreal_0 @ SV163 )
= $true )
| ( ( v4_membered @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1491,plain,
! [SV108: $i,SV174: $i,SV86: $i] :
( ( ( ( SV86 != SV174 )
| ~ ( m1_filter_0 @ SV174 @ SV108 )
| ~ ( v1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( l3_lattices @ SV108 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(1492,plain,
! [SV109: $i,SV87: $i] :
( ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1493,plain,
! [SV69: $i,SV42: $i,SV172: $i] :
( ( ( ~ ( m1_relset_1 @ SV172 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV172 )
| ~ ( v1_funct_2 @ SV172 @ SV42 @ SV69 )
| ( v1_funct_1 @ SV172 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1448]) ).
thf(1494,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( ~ ( m1_relset_1 @ SV173 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV173 )
| ~ ( v1_funct_2 @ SV173 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SV173 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1495,plain,
! [SV69: $i,SV42: $i,SV160: $i] :
( ( ( ~ ( v1_funct_1 @ SV160 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV160 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_partfun1 @ SV160 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV160 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1450]) ).
thf(1496,plain,
! [SV44: $i] :
( ( ( ! [SY189: $i] :
( ~ ( m1_subset_1 @ SY189 @ SV44 )
| ( v1_xcmplx_0 @ SY189 ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1497,plain,
! [SV44: $i] :
( ( ( ! [SY190: $i] :
( ~ ( m1_subset_1 @ SY190 @ SV44 )
| ( v4_ordinal2 @ SY190 ) ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1498,plain,
! [SV44: $i,SV164: $i] :
( ( ( m1_subset_1 @ SV164 @ SV44 )
= $false )
| ( ( v1_xreal_0 @ SV164 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1499,plain,
! [SV165: $i] :
( ( ( v1_xboole_0 @ SV165 )
= $false )
| ( ( v1_membered @ SV165 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1500,plain,
! [SV166: $i] :
( ( ( v1_xboole_0 @ SV166 )
= $false )
| ( ( v2_membered @ SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1501,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1502,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v11_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1503,plain,
! [SV167: $i] :
( ( ( l3_lattices @ SV167 )
= $false )
| ( ( ( v3_struct_0 @ SV167 )
| ~ ( v17_lattices @ SV167 )
| ( v13_lattices @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1504,plain,
! [SV151: $i] :
( ( ( v17_lattices @ SV151 )
= $false )
| ( ( v3_struct_0 @ SV151 )
= $true )
| ( ( v14_lattices @ SV151 )
= $true )
| ( ( l3_lattices @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1505,plain,
( ( v1_membered @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1506,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1507,plain,
! [SV152: $i,SV46: $i] :
( ( ( ! [SY250: $i] :
( ~ ( m1_filter_0 @ SY250 @ SV46 )
| ~ ( r2_hidden @ SV152 @ SY250 )
| ~ ( v1_filter_0 @ SY250 @ SV46 )
| ( r2_hidden @ SY250 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1508,plain,
! [SV152: $i,SV46: $i] :
( ( ( ~ ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) )
| ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1509,plain,
! [SV70: $i,SV47: $i,SV153: $i] :
( ( ( v1_funct_1 @ SV153 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV153 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_funct_1 @ SV153 )
= $true )
| ( ( m1_relset_1 @ SV153 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1510,plain,
! [SV70: $i,SV47: $i,SV154: $i] :
( ( ( v1_funct_1 @ SV154 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV154 @ SV47 @ SV70 ) )
= $true )
| ( ( v1_partfun1 @ SV154 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV154 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1511,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1512,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1513,plain,
! [SV168: $i] :
( ( ( l3_lattices @ SV168 )
= $false )
| ( ( ( v3_struct_0 @ SV168 )
| ~ ( v10_lattices @ SV168 )
| ( v6_lattices @ SV168 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1514,plain,
! [SV155: $i] :
( ( ( v10_lattices @ SV155 )
= $false )
| ( ( v3_struct_0 @ SV155 )
= $true )
| ( ( v7_lattices @ SV155 )
= $true )
| ( ( l3_lattices @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1515,plain,
! [SV50: $i,SV169: $i] :
( ( ( m1_subset_1 @ SV169 @ ( k1_zfmisc_1 @ SV50 ) )
= $false )
| ( ( v1_membered @ SV169 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1516,plain,
! [SV50: $i,SV170: $i] :
( ( ( m1_subset_1 @ SV170 @ ( k1_zfmisc_1 @ SV50 ) )
= $false )
| ( ( v2_membered @ SV170 )
= $true )
| ( ( v4_membered @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1517,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1518,plain,
( ( v14_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1519,plain,
! [SV51: $i] :
( ( ( ! [SY210: $i] :
( ~ ( m1_subset_1 @ SY210 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SY210 ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1520,plain,
! [SV51: $i] :
( ( ( ! [SY211: $i] :
( ~ ( m1_subset_1 @ SY211 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SY211 ) ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1521,plain,
! [SV51: $i,SV171: $i] :
( ( ( m1_subset_1 @ SV171 @ ( k1_zfmisc_1 @ SV51 ) )
= $false )
| ( ( v3_membered @ SV171 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1522,plain,
( ( ~ ( v1_xboole_0 @ sK20_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1479]) ).
thf(1523,plain,
( ( v1_membered @ sK20_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1524,plain,
! [SV137: $i] :
( ( ( l3_lattices @ SV137 )
= $false )
| ( ( v3_realset2 @ SV137 )
= $true )
| ( ( v10_lattices @ SV137 )
= $false )
| ( ( v3_struct_0 @ SV137 )
= $true )
| ( ( v17_lattices @ SV137 )
= $false )
| ( ( v1_funct_1 @ ( k9_lopclset @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1525,plain,
! [SV138: $i] :
( ( ( l3_lattices @ SV138 )
= $false )
| ( ( v3_realset2 @ SV138 )
= $true )
| ( ( v10_lattices @ SV138 )
= $false )
| ( ( v3_struct_0 @ SV138 )
= $true )
| ( ( v17_lattices @ SV138 )
= $false )
| ( ( v1_funct_2 @ ( k9_lopclset @ SV138 ) @ ( u1_struct_0 @ SV138 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1526,plain,
! [SV106: $i] :
( ( ( v5_lattices @ SV106 )
= $false )
| ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( v4_lattices @ SV106 )
= $false )
| ( ( ~ ( v6_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1527,plain,
! [SV107: $i] :
( ( ( v5_lattices @ SV107 )
= $false )
| ( ( v3_struct_0 @ SV107 )
= $true )
| ( ( v4_lattices @ SV107 )
= $false )
| ( ( ~ ( v6_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1528,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1529,plain,
! [SV175: $i] :
( ( ~ ( l3_lattices @ SV175 )
| ( v3_struct_0 @ SV175 )
| ~ ( v10_lattices @ SV175 )
| ~ ( v11_lattices @ SV175 )
| ( v7_lattices @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1530,plain,
! [SV161: $i] :
( ( ( ( v3_struct_0 @ SV161 )
| ~ ( v10_lattices @ SV161 )
| ~ ( v11_lattices @ SV161 ) )
= $true )
| ( ( v8_lattices @ SV161 )
= $true )
| ( ( l3_lattices @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1487]) ).
thf(1531,plain,
! [SV143: $i] :
( ( ( v10_lattices @ SV143 )
= $false )
| ( ( v3_struct_0 @ SV143 )
= $true )
| ( ( ~ ( v11_lattices @ SV143 ) )
= $true )
| ( ( v9_lattices @ SV143 )
= $true )
| ( ( l3_lattices @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1532,plain,
! [SV108: $i,SV174: $i,SV86: $i] :
( ( ( ( SV86 != SV174 )
| ~ ( m1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( ~ ( v1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( l3_lattices @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1533,plain,
! [SV109: $i,SV87: $i] :
( ( ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
| ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
= $false )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1534,plain,
! [SV69: $i,SV42: $i,SV172: $i] :
( ( ( m1_relset_1 @ SV172 @ SV42 @ SV69 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV172 )
| ~ ( v1_funct_2 @ SV172 @ SV42 @ SV69 )
| ( v1_funct_1 @ SV172 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1535,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( m1_relset_1 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV173 )
| ~ ( v1_funct_2 @ SV173 @ SV42 @ SV69 )
| ~ ( v1_xboole_0 @ SV173 ) )
= $true )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1536,plain,
! [SV69: $i,SV42: $i,SV160: $i] :
( ( ( v1_funct_1 @ SV160 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV160 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_partfun1 @ SV160 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV160 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1537,plain,
! [SV44: $i,SV176: $i] :
( ( ( ~ ( m1_subset_1 @ SV176 @ SV44 )
| ( v1_xcmplx_0 @ SV176 ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1538,plain,
! [SV44: $i,SV177: $i] :
( ( ( ~ ( m1_subset_1 @ SV177 @ SV44 )
| ( v4_ordinal2 @ SV177 ) )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1539,plain,
! [SV178: $i] :
( ( ~ ( l3_lattices @ SV178 )
| ( v3_struct_0 @ SV178 )
| ~ ( v17_lattices @ SV178 )
| ~ ( v3_struct_0 @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1540,plain,
! [SV179: $i] :
( ( ~ ( l3_lattices @ SV179 )
| ( v3_struct_0 @ SV179 )
| ~ ( v17_lattices @ SV179 )
| ( v11_lattices @ SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1541,plain,
! [SV167: $i] :
( ( ( ( v3_struct_0 @ SV167 )
| ~ ( v17_lattices @ SV167 ) )
= $true )
| ( ( v13_lattices @ SV167 )
= $true )
| ( ( l3_lattices @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1542,plain,
! [SV152: $i,SV46: $i,SV180: $i] :
( ( ( ~ ( m1_filter_0 @ SV180 @ SV46 )
| ~ ( r2_hidden @ SV152 @ SV180 )
| ~ ( v1_filter_0 @ SV180 @ SV46 )
| ( r2_hidden @ SV180 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(1543,plain,
! [SV152: $i,SV46: $i] :
( ( ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) )
| ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1544,plain,
! [SV70: $i,SV47: $i,SV153: $i] :
( ( ( v1_funct_2 @ SV153 @ SV47 @ SV70 )
= $false )
| ( ( v1_funct_1 @ SV153 )
= $false )
| ( ( v1_funct_1 @ SV153 )
= $true )
| ( ( m1_relset_1 @ SV153 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1545,plain,
! [SV70: $i,SV47: $i,SV154: $i] :
( ( ( v1_funct_2 @ SV154 @ SV47 @ SV70 )
= $false )
| ( ( v1_funct_1 @ SV154 )
= $false )
| ( ( v1_partfun1 @ SV154 @ SV47 @ SV70 )
= $true )
| ( ( m1_relset_1 @ SV154 @ SV47 @ SV70 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1546,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1547,plain,
! [SV181: $i] :
( ( ~ ( l3_lattices @ SV181 )
| ( v3_struct_0 @ SV181 )
| ~ ( v10_lattices @ SV181 )
| ( v5_lattices @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1548,plain,
! [SV168: $i] :
( ( ( ( v3_struct_0 @ SV168 )
| ~ ( v10_lattices @ SV168 ) )
= $true )
| ( ( v6_lattices @ SV168 )
= $true )
| ( ( l3_lattices @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1549,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
| ~ ( v13_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1550,plain,
! [SV51: $i,SV182: $i] :
( ( ( ~ ( m1_subset_1 @ SV182 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v1_membered @ SV182 ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1551,plain,
! [SV51: $i,SV183: $i] :
( ( ( ~ ( m1_subset_1 @ SV183 @ ( k1_zfmisc_1 @ SV51 ) )
| ( v2_membered @ SV183 ) )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1552,plain,
( ( v1_xboole_0 @ sK20_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1553,plain,
! [SV106: $i] :
( ( ( v6_lattices @ SV106 )
= $false )
| ( ( v4_lattices @ SV106 )
= $false )
| ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( v5_lattices @ SV106 )
= $false )
| ( ( ~ ( v7_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1554,plain,
! [SV107: $i] :
( ( ( v6_lattices @ SV107 )
= $false )
| ( ( v4_lattices @ SV107 )
= $false )
| ( ( v3_struct_0 @ SV107 )
= $true )
| ( ( v5_lattices @ SV107 )
= $false )
| ( ( ~ ( v7_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1555,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1556,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1557,plain,
! [SV175: $i] :
( ( ( ~ ( l3_lattices @ SV175 ) )
= $true )
| ( ( ( v3_struct_0 @ SV175 )
| ~ ( v10_lattices @ SV175 )
| ~ ( v11_lattices @ SV175 )
| ( v7_lattices @ SV175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1558,plain,
! [SV161: $i] :
( ( ( ( v3_struct_0 @ SV161 )
| ~ ( v10_lattices @ SV161 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV161 ) )
= $true )
| ( ( v8_lattices @ SV161 )
= $true )
| ( ( l3_lattices @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1530]) ).
thf(1559,plain,
! [SV143: $i] :
( ( ( v11_lattices @ SV143 )
= $false )
| ( ( v3_struct_0 @ SV143 )
= $true )
| ( ( v10_lattices @ SV143 )
= $false )
| ( ( v9_lattices @ SV143 )
= $true )
| ( ( l3_lattices @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1560,plain,
! [SV108: $i,SV174: $i,SV86: $i] :
( ( ( ( SV86 != SV174 ) )
= $true )
| ( ( ~ ( m1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( ~ ( v1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( l3_lattices @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1561,plain,
! [SV109: $i,SV87: $i] :
( ( ( ~ ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $false )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1562,plain,
! [SV87: $i,SV109: $i] :
( ( ( ~ ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
= $false )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1563,plain,
! [SV69: $i,SV42: $i,SV172: $i] :
( ( ( ~ ( v1_funct_1 @ SV172 )
| ~ ( v1_funct_2 @ SV172 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_funct_1 @ SV172 )
= $true )
| ( ( m1_relset_1 @ SV172 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1564,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( ~ ( v1_funct_1 @ SV173 )
| ~ ( v1_funct_2 @ SV173 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV173 ) )
= $true )
| ( ( m1_relset_1 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1535]) ).
thf(1565,plain,
! [SV69: $i,SV42: $i,SV160: $i] :
( ( ( v1_funct_2 @ SV160 @ SV42 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV160 )
= $false )
| ( ( v1_partfun1 @ SV160 @ SV42 @ SV69 )
= $true )
| ( ( m1_relset_1 @ SV160 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1566,plain,
! [SV44: $i,SV176: $i] :
( ( ( ~ ( m1_subset_1 @ SV176 @ SV44 ) )
= $true )
| ( ( v1_xcmplx_0 @ SV176 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1567,plain,
! [SV44: $i,SV177: $i] :
( ( ( ~ ( m1_subset_1 @ SV177 @ SV44 ) )
= $true )
| ( ( v4_ordinal2 @ SV177 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1568,plain,
! [SV178: $i] :
( ( ( ~ ( l3_lattices @ SV178 ) )
= $true )
| ( ( ( v3_struct_0 @ SV178 )
| ~ ( v17_lattices @ SV178 )
| ~ ( v3_struct_0 @ SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1569,plain,
! [SV179: $i] :
( ( ( ~ ( l3_lattices @ SV179 ) )
= $true )
| ( ( ( v3_struct_0 @ SV179 )
| ~ ( v17_lattices @ SV179 )
| ( v11_lattices @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1570,plain,
! [SV167: $i] :
( ( ( v3_struct_0 @ SV167 )
= $true )
| ( ( ~ ( v17_lattices @ SV167 ) )
= $true )
| ( ( v13_lattices @ SV167 )
= $true )
| ( ( l3_lattices @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1541]) ).
thf(1571,plain,
! [SV152: $i,SV46: $i,SV180: $i] :
( ( ( ~ ( m1_filter_0 @ SV180 @ SV46 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV152 @ SV180 )
| ~ ( v1_filter_0 @ SV180 @ SV46 )
| ( r2_hidden @ SV180 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1542]) ).
thf(1572,plain,
! [SV152: $i,SV46: $i] :
( ( ( ~ ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1573,plain,
! [SV152: $i,SV46: $i] :
( ( ( ~ ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1574,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1546]) ).
thf(1575,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1546]) ).
thf(1576,plain,
! [SV181: $i] :
( ( ( ~ ( l3_lattices @ SV181 ) )
= $true )
| ( ( ( v3_struct_0 @ SV181 )
| ~ ( v10_lattices @ SV181 )
| ( v5_lattices @ SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1577,plain,
! [SV168: $i] :
( ( ( v3_struct_0 @ SV168 )
= $true )
| ( ( ~ ( v10_lattices @ SV168 ) )
= $true )
| ( ( v6_lattices @ SV168 )
= $true )
| ( ( l3_lattices @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1548]) ).
thf(1578,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1549]) ).
thf(1579,plain,
( ( ~ ( v13_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1549]) ).
thf(1580,plain,
! [SV51: $i,SV182: $i] :
( ( ( ~ ( m1_subset_1 @ SV182 @ ( k1_zfmisc_1 @ SV51 ) ) )
= $true )
| ( ( v1_membered @ SV182 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1550]) ).
thf(1581,plain,
! [SV51: $i,SV183: $i] :
( ( ( ~ ( m1_subset_1 @ SV183 @ ( k1_zfmisc_1 @ SV51 ) ) )
= $true )
| ( ( v2_membered @ SV183 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1582,plain,
! [SV106: $i] :
( ( ( v7_lattices @ SV106 )
= $false )
| ( ( v5_lattices @ SV106 )
= $false )
| ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( v4_lattices @ SV106 )
= $false )
| ( ( v6_lattices @ SV106 )
= $false )
| ( ( ~ ( v8_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1583,plain,
! [SV107: $i] :
( ( ( v7_lattices @ SV107 )
= $false )
| ( ( v5_lattices @ SV107 )
= $false )
| ( ( v3_struct_0 @ SV107 )
= $true )
| ( ( v4_lattices @ SV107 )
= $false )
| ( ( v6_lattices @ SV107 )
= $false )
| ( ( ~ ( v8_lattices @ SV107 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1584,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1585,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1586,plain,
! [SV175: $i] :
( ( ( l3_lattices @ SV175 )
= $false )
| ( ( ( v3_struct_0 @ SV175 )
| ~ ( v10_lattices @ SV175 )
| ~ ( v11_lattices @ SV175 )
| ( v7_lattices @ SV175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1587,plain,
! [SV161: $i] :
( ( ( v3_struct_0 @ SV161 )
= $true )
| ( ( ~ ( v10_lattices @ SV161 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV161 ) )
= $true )
| ( ( v8_lattices @ SV161 )
= $true )
| ( ( l3_lattices @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1588,plain,
! [SV108: $i,SV174: $i,SV86: $i] :
( ( ( SV86 = SV174 )
= $false )
| ( ( ~ ( m1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( ~ ( v1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( l3_lattices @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1589,plain,
! [SV109: $i,SV87: $i] :
( ( ( ~ ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) ) )
= $true )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1590,plain,
! [SV87: $i,SV109: $i] :
( ( ( v1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 )
= $true )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1591,plain,
! [SV69: $i,SV42: $i,SV172: $i] :
( ( ( ~ ( v1_funct_1 @ SV172 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV172 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_funct_1 @ SV172 )
= $true )
| ( ( m1_relset_1 @ SV172 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1563]) ).
thf(1592,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( ~ ( v1_funct_1 @ SV173 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV173 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV173 ) )
= $true )
| ( ( m1_relset_1 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1564]) ).
thf(1593,plain,
! [SV44: $i,SV176: $i] :
( ( ( m1_subset_1 @ SV176 @ SV44 )
= $false )
| ( ( v1_xcmplx_0 @ SV176 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1594,plain,
! [SV44: $i,SV177: $i] :
( ( ( m1_subset_1 @ SV177 @ SV44 )
= $false )
| ( ( v4_ordinal2 @ SV177 )
= $true )
| ( ( v5_membered @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1595,plain,
! [SV178: $i] :
( ( ( l3_lattices @ SV178 )
= $false )
| ( ( ( v3_struct_0 @ SV178 )
| ~ ( v17_lattices @ SV178 )
| ~ ( v3_struct_0 @ SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1596,plain,
! [SV179: $i] :
( ( ( l3_lattices @ SV179 )
= $false )
| ( ( ( v3_struct_0 @ SV179 )
| ~ ( v17_lattices @ SV179 )
| ( v11_lattices @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1597,plain,
! [SV167: $i] :
( ( ( v17_lattices @ SV167 )
= $false )
| ( ( v3_struct_0 @ SV167 )
= $true )
| ( ( v13_lattices @ SV167 )
= $true )
| ( ( l3_lattices @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1598,plain,
! [SV152: $i,SV46: $i,SV180: $i] :
( ( ( m1_filter_0 @ SV180 @ SV46 )
= $false )
| ( ( ~ ( r2_hidden @ SV152 @ SV180 )
| ~ ( v1_filter_0 @ SV180 @ SV46 )
| ( r2_hidden @ SV180 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1599,plain,
! [SV152: $i,SV46: $i] :
( ( ( ! [SY251: $i] :
( ~ ( m1_filter_0 @ SY251 @ SV46 )
| ~ ( r2_hidden @ SY251 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SY251 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1600,plain,
! [SV152: $i,SV46: $i] :
( ( ( ! [SY252: $i] :
( ~ ( m1_filter_0 @ SY252 @ SV46 )
| ~ ( r2_hidden @ SY252 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SY252 @ SV46 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1601,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1602,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1603,plain,
! [SV181: $i] :
( ( ( l3_lattices @ SV181 )
= $false )
| ( ( ( v3_struct_0 @ SV181 )
| ~ ( v10_lattices @ SV181 )
| ( v5_lattices @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1604,plain,
! [SV168: $i] :
( ( ( v10_lattices @ SV168 )
= $false )
| ( ( v3_struct_0 @ SV168 )
= $true )
| ( ( v6_lattices @ SV168 )
= $true )
| ( ( l3_lattices @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1605,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1606,plain,
( ( v13_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1607,plain,
! [SV51: $i,SV182: $i] :
( ( ( m1_subset_1 @ SV182 @ ( k1_zfmisc_1 @ SV51 ) )
= $false )
| ( ( v1_membered @ SV182 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1608,plain,
! [SV51: $i,SV183: $i] :
( ( ( m1_subset_1 @ SV183 @ ( k1_zfmisc_1 @ SV51 ) )
= $false )
| ( ( v2_membered @ SV183 )
= $true )
| ( ( v5_membered @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1609,plain,
! [SV106: $i] :
( ( ( v8_lattices @ SV106 )
= $false )
| ( ( v6_lattices @ SV106 )
= $false )
| ( ( v4_lattices @ SV106 )
= $false )
| ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( v5_lattices @ SV106 )
= $false )
| ( ( v7_lattices @ SV106 )
= $false )
| ( ( ~ ( v9_lattices @ SV106 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1610,plain,
! [SV107: $i] :
( ( ( v8_lattices @ SV107 )
= $false )
| ( ( v6_lattices @ SV107 )
= $false )
| ( ( v4_lattices @ SV107 )
= $false )
| ( ( v3_struct_0 @ SV107 )
= $true )
| ( ( v5_lattices @ SV107 )
= $false )
| ( ( v7_lattices @ SV107 )
= $false )
| ( ( ~ ( v9_lattices @ SV107 ) )
= $true )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1611,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1612,plain,
! [SV184: $i] :
( ( ~ ( l3_lattices @ SV184 )
| ( v3_struct_0 @ SV184 )
| ~ ( v10_lattices @ SV184 )
| ~ ( v11_lattices @ SV184 )
| ( v6_lattices @ SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(1613,plain,
! [SV175: $i] :
( ( ( ( v3_struct_0 @ SV175 )
| ~ ( v10_lattices @ SV175 )
| ~ ( v11_lattices @ SV175 ) )
= $true )
| ( ( v7_lattices @ SV175 )
= $true )
| ( ( l3_lattices @ SV175 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1586]) ).
thf(1614,plain,
! [SV161: $i] :
( ( ( v10_lattices @ SV161 )
= $false )
| ( ( v3_struct_0 @ SV161 )
= $true )
| ( ( ~ ( v11_lattices @ SV161 ) )
= $true )
| ( ( v8_lattices @ SV161 )
= $true )
| ( ( l3_lattices @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1615,plain,
! [SV86: $i,SV108: $i,SV174: $i] :
( ( ( m1_filter_0 @ SV174 @ SV108 )
= $false )
| ( ( SV86 = SV174 )
= $false )
| ( ( ~ ( v1_filter_0 @ SV174 @ SV108 ) )
= $true )
| ( ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( l3_lattices @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1616,plain,
! [SV109: $i,SV87: $i] :
( ( ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) )
| ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
= $false )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1617,plain,
! [SV69: $i,SV42: $i,SV172: $i] :
( ( ( v1_funct_1 @ SV172 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV172 @ SV42 @ SV69 ) )
= $true )
| ( ( v1_funct_1 @ SV172 )
= $true )
| ( ( m1_relset_1 @ SV172 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1618,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( v1_funct_1 @ SV173 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV173 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV173 ) )
= $true )
| ( ( m1_relset_1 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1592]) ).
thf(1619,plain,
! [SV178: $i] :
( ( ( ( v3_struct_0 @ SV178 )
| ~ ( v17_lattices @ SV178 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV178 ) )
= $true )
| ( ( l3_lattices @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1595]) ).
thf(1620,plain,
! [SV179: $i] :
( ( ( ( v3_struct_0 @ SV179 )
| ~ ( v17_lattices @ SV179 ) )
= $true )
| ( ( v11_lattices @ SV179 )
= $true )
| ( ( l3_lattices @ SV179 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1596]) ).
thf(1621,plain,
! [SV46: $i,SV180: $i,SV152: $i] :
( ( ( ~ ( r2_hidden @ SV152 @ SV180 )
| ~ ( v1_filter_0 @ SV180 @ SV46 ) )
= $true )
| ( ( r2_hidden @ SV180 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
= $true )
| ( ( m1_filter_0 @ SV180 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1598]) ).
thf(1622,plain,
! [SV152: $i,SV46: $i,SV185: $i] :
( ( ( ~ ( m1_filter_0 @ SV185 @ SV46 )
| ~ ( r2_hidden @ SV185 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SV185 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(1623,plain,
! [SV152: $i,SV46: $i,SV186: $i] :
( ( ( ~ ( m1_filter_0 @ SV186 @ SV46 )
| ~ ( r2_hidden @ SV186 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SV186 @ SV46 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(1624,plain,
! [SV187: $i] :
( ( ~ ( l3_lattices @ SV187 )
| ( v3_struct_0 @ SV187 )
| ~ ( v10_lattices @ SV187 )
| ~ ( v3_struct_0 @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(1625,plain,
! [SV188: $i] :
( ( ~ ( l3_lattices @ SV188 )
| ( v3_struct_0 @ SV188 )
| ~ ( v10_lattices @ SV188 )
| ( v4_lattices @ SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(1626,plain,
! [SV181: $i] :
( ( ( ( v3_struct_0 @ SV181 )
| ~ ( v10_lattices @ SV181 ) )
= $true )
| ( ( v5_lattices @ SV181 )
= $true )
| ( ( l3_lattices @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1603]) ).
thf(1627,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
| ~ ( v12_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1628,plain,
! [SV106: $i] :
( ( ( v9_lattices @ SV106 )
= $false )
| ( ( v7_lattices @ SV106 )
= $false )
| ( ( v5_lattices @ SV106 )
= $false )
| ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( v4_lattices @ SV106 )
= $false )
| ( ( v6_lattices @ SV106 )
= $false )
| ( ( v8_lattices @ SV106 )
= $false )
| ( ( ~ ( v3_struct_0 @ SV106 ) )
= $true )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1629,plain,
! [SV107: $i] :
( ( ( v9_lattices @ SV107 )
= $false )
| ( ( v7_lattices @ SV107 )
= $false )
| ( ( v5_lattices @ SV107 )
= $false )
| ( ( v3_struct_0 @ SV107 )
= $true )
| ( ( v4_lattices @ SV107 )
= $false )
| ( ( v6_lattices @ SV107 )
= $false )
| ( ( v8_lattices @ SV107 )
= $false )
| ( ( v10_lattices @ SV107 )
= $true )
| ( ( l3_lattices @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1630,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1631,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1632,plain,
! [SV184: $i] :
( ( ( ~ ( l3_lattices @ SV184 ) )
= $true )
| ( ( ( v3_struct_0 @ SV184 )
| ~ ( v10_lattices @ SV184 )
| ~ ( v11_lattices @ SV184 )
| ( v6_lattices @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1612]) ).
thf(1633,plain,
! [SV175: $i] :
( ( ( ( v3_struct_0 @ SV175 )
| ~ ( v10_lattices @ SV175 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV175 ) )
= $true )
| ( ( v7_lattices @ SV175 )
= $true )
| ( ( l3_lattices @ SV175 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1613]) ).
thf(1634,plain,
! [SV161: $i] :
( ( ( v11_lattices @ SV161 )
= $false )
| ( ( v3_struct_0 @ SV161 )
= $true )
| ( ( v10_lattices @ SV161 )
= $false )
| ( ( v8_lattices @ SV161 )
= $true )
| ( ( l3_lattices @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1635,plain,
! [SV86: $i,SV108: $i,SV174: $i] :
( ( ( v1_filter_0 @ SV174 @ SV108 )
= $false )
| ( ( SV86 = SV174 )
= $false )
| ( ( m1_filter_0 @ SV174 @ SV108 )
= $false )
| ( ( r2_hidden @ SV86 @ ( a_1_1_lopclset @ SV108 ) )
= $true )
| ( ( v17_lattices @ SV108 )
= $false )
| ( ( v3_struct_0 @ SV108 )
= $true )
| ( ( v10_lattices @ SV108 )
= $false )
| ( ( v3_realset2 @ SV108 )
= $true )
| ( ( l3_lattices @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1636,plain,
! [SV109: $i,SV87: $i] :
( ( ( ( SV87
!= ( sK7_C @ SV109 @ SV87 ) ) )
= $false )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1637,plain,
! [SV87: $i,SV109: $i] :
( ( ( ~ ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 ) )
= $false )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1638,plain,
! [SV69: $i,SV42: $i,SV172: $i] :
( ( ( v1_funct_2 @ SV172 @ SV42 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV172 )
= $false )
| ( ( v1_funct_1 @ SV172 )
= $true )
| ( ( m1_relset_1 @ SV172 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1639,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( v1_funct_2 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV173 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV173 ) )
= $true )
| ( ( m1_relset_1 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1640,plain,
! [SV178: $i] :
( ( ( v3_struct_0 @ SV178 )
= $true )
| ( ( ~ ( v17_lattices @ SV178 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV178 ) )
= $true )
| ( ( l3_lattices @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1641,plain,
! [SV179: $i] :
( ( ( v3_struct_0 @ SV179 )
= $true )
| ( ( ~ ( v17_lattices @ SV179 ) )
= $true )
| ( ( v11_lattices @ SV179 )
= $true )
| ( ( l3_lattices @ SV179 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1620]) ).
thf(1642,plain,
! [SV46: $i,SV180: $i,SV152: $i] :
( ( ( ~ ( r2_hidden @ SV152 @ SV180 ) )
= $true )
| ( ( ~ ( v1_filter_0 @ SV180 @ SV46 ) )
= $true )
| ( ( r2_hidden @ SV180 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
= $true )
| ( ( m1_filter_0 @ SV180 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1621]) ).
thf(1643,plain,
! [SV152: $i,SV46: $i,SV185: $i] :
( ( ( ~ ( m1_filter_0 @ SV185 @ SV46 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV185 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SV185 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1644,plain,
! [SV152: $i,SV46: $i,SV186: $i] :
( ( ( ~ ( m1_filter_0 @ SV186 @ SV46 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV186 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SV186 @ SV46 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1623]) ).
thf(1645,plain,
! [SV187: $i] :
( ( ( ~ ( l3_lattices @ SV187 ) )
= $true )
| ( ( ( v3_struct_0 @ SV187 )
| ~ ( v10_lattices @ SV187 )
| ~ ( v3_struct_0 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1624]) ).
thf(1646,plain,
! [SV188: $i] :
( ( ( ~ ( l3_lattices @ SV188 ) )
= $true )
| ( ( ( v3_struct_0 @ SV188 )
| ~ ( v10_lattices @ SV188 )
| ( v4_lattices @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1647,plain,
! [SV181: $i] :
( ( ( v3_struct_0 @ SV181 )
= $true )
| ( ( ~ ( v10_lattices @ SV181 ) )
= $true )
| ( ( v5_lattices @ SV181 )
= $true )
| ( ( l3_lattices @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1648,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1649,plain,
( ( ~ ( v12_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1650,plain,
! [SV106: $i] :
( ( ( v3_struct_0 @ SV106 )
= $false )
| ( ( v8_lattices @ SV106 )
= $false )
| ( ( v6_lattices @ SV106 )
= $false )
| ( ( v4_lattices @ SV106 )
= $false )
| ( ( v3_struct_0 @ SV106 )
= $true )
| ( ( v5_lattices @ SV106 )
= $false )
| ( ( v7_lattices @ SV106 )
= $false )
| ( ( v9_lattices @ SV106 )
= $false )
| ( ( l3_lattices @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1651,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1652,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1653,plain,
! [SV184: $i] :
( ( ( l3_lattices @ SV184 )
= $false )
| ( ( ( v3_struct_0 @ SV184 )
| ~ ( v10_lattices @ SV184 )
| ~ ( v11_lattices @ SV184 )
| ( v6_lattices @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1654,plain,
! [SV175: $i] :
( ( ( v3_struct_0 @ SV175 )
= $true )
| ( ( ~ ( v10_lattices @ SV175 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV175 ) )
= $true )
| ( ( v7_lattices @ SV175 )
= $true )
| ( ( l3_lattices @ SV175 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1655,plain,
! [SV109: $i,SV87: $i] :
( ( ( SV87
= ( sK7_C @ SV109 @ SV87 ) )
= $true )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1636]) ).
thf(1656,plain,
! [SV87: $i,SV109: $i] :
( ( ( m1_filter_0 @ ( sK7_C @ SV109 @ SV87 ) @ SV109 )
= $true )
| ( ( r2_hidden @ SV87 @ ( a_1_1_lopclset @ SV109 ) )
= $false )
| ( ( v17_lattices @ SV109 )
= $false )
| ( ( v3_struct_0 @ SV109 )
= $true )
| ( ( v10_lattices @ SV109 )
= $false )
| ( ( v3_realset2 @ SV109 )
= $true )
| ( ( l3_lattices @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1657,plain,
! [SV69: $i,SV42: $i,SV173: $i] :
( ( ( v1_xboole_0 @ SV173 )
= $false )
| ( ( v1_funct_1 @ SV173 )
= $false )
| ( ( v1_funct_2 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( m1_relset_1 @ SV173 @ SV42 @ SV69 )
= $false )
| ( ( v1_xboole_0 @ SV69 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1658,plain,
! [SV178: $i] :
( ( ( v17_lattices @ SV178 )
= $false )
| ( ( v3_struct_0 @ SV178 )
= $true )
| ( ( ~ ( v3_struct_0 @ SV178 ) )
= $true )
| ( ( l3_lattices @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1659,plain,
! [SV179: $i] :
( ( ( v17_lattices @ SV179 )
= $false )
| ( ( v3_struct_0 @ SV179 )
= $true )
| ( ( v11_lattices @ SV179 )
= $true )
| ( ( l3_lattices @ SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1660,plain,
! [SV46: $i,SV180: $i,SV152: $i] :
( ( ( r2_hidden @ SV152 @ SV180 )
= $false )
| ( ( ~ ( v1_filter_0 @ SV180 @ SV46 ) )
= $true )
| ( ( r2_hidden @ SV180 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
= $true )
| ( ( m1_filter_0 @ SV180 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1661,plain,
! [SV152: $i,SV46: $i,SV185: $i] :
( ( ( m1_filter_0 @ SV185 @ SV46 )
= $false )
| ( ( ~ ( r2_hidden @ SV185 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( r2_hidden @ SV152 @ SV185 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1662,plain,
! [SV152: $i,SV46: $i,SV186: $i] :
( ( ( m1_filter_0 @ SV186 @ SV46 )
= $false )
| ( ( ~ ( r2_hidden @ SV186 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
| ( v1_filter_0 @ SV186 @ SV46 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1663,plain,
! [SV187: $i] :
( ( ( l3_lattices @ SV187 )
= $false )
| ( ( ( v3_struct_0 @ SV187 )
| ~ ( v10_lattices @ SV187 )
| ~ ( v3_struct_0 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1664,plain,
! [SV188: $i] :
( ( ( l3_lattices @ SV188 )
= $false )
| ( ( ( v3_struct_0 @ SV188 )
| ~ ( v10_lattices @ SV188 )
| ( v4_lattices @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1665,plain,
! [SV181: $i] :
( ( ( v10_lattices @ SV181 )
= $false )
| ( ( v3_struct_0 @ SV181 )
= $true )
| ( ( v5_lattices @ SV181 )
= $true )
| ( ( l3_lattices @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1666,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1667,plain,
( ( v12_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1668,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1669,plain,
! [SV189: $i] :
( ( ~ ( l3_lattices @ SV189 )
| ( v3_struct_0 @ SV189 )
| ~ ( v10_lattices @ SV189 )
| ~ ( v11_lattices @ SV189 )
| ( v5_lattices @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(1670,plain,
! [SV184: $i] :
( ( ( ( v3_struct_0 @ SV184 )
| ~ ( v10_lattices @ SV184 )
| ~ ( v11_lattices @ SV184 ) )
= $true )
| ( ( v6_lattices @ SV184 )
= $true )
| ( ( l3_lattices @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1671,plain,
! [SV175: $i] :
( ( ( v10_lattices @ SV175 )
= $false )
| ( ( v3_struct_0 @ SV175 )
= $true )
| ( ( ~ ( v11_lattices @ SV175 ) )
= $true )
| ( ( v7_lattices @ SV175 )
= $true )
| ( ( l3_lattices @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1654]) ).
thf(1672,plain,
! [SV178: $i] :
( ( ( v3_struct_0 @ SV178 )
= $false )
| ( ( v3_struct_0 @ SV178 )
= $true )
| ( ( v17_lattices @ SV178 )
= $false )
| ( ( l3_lattices @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1673,plain,
! [SV152: $i,SV46: $i,SV180: $i] :
( ( ( v1_filter_0 @ SV180 @ SV46 )
= $false )
| ( ( r2_hidden @ SV152 @ SV180 )
= $false )
| ( ( r2_hidden @ SV180 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
= $true )
| ( ( m1_filter_0 @ SV180 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1660]) ).
thf(1674,plain,
! [SV152: $i,SV46: $i,SV185: $i] :
( ( ( ~ ( r2_hidden @ SV185 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
= $true )
| ( ( r2_hidden @ SV152 @ SV185 )
= $true )
| ( ( m1_filter_0 @ SV185 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1661]) ).
thf(1675,plain,
! [SV152: $i,SV46: $i,SV186: $i] :
( ( ( ~ ( r2_hidden @ SV186 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) ) )
= $true )
| ( ( v1_filter_0 @ SV186 @ SV46 )
= $true )
| ( ( m1_filter_0 @ SV186 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1662]) ).
thf(1676,plain,
! [SV187: $i] :
( ( ( ( v3_struct_0 @ SV187 )
| ~ ( v10_lattices @ SV187 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV187 ) )
= $true )
| ( ( l3_lattices @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1663]) ).
thf(1677,plain,
! [SV188: $i] :
( ( ( ( v3_struct_0 @ SV188 )
| ~ ( v10_lattices @ SV188 ) )
= $true )
| ( ( v4_lattices @ SV188 )
= $true )
| ( ( l3_lattices @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1664]) ).
thf(1678,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
| ~ ( v11_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1679,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1668]) ).
thf(1680,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1668]) ).
thf(1681,plain,
! [SV189: $i] :
( ( ( ~ ( l3_lattices @ SV189 ) )
= $true )
| ( ( ( v3_struct_0 @ SV189 )
| ~ ( v10_lattices @ SV189 )
| ~ ( v11_lattices @ SV189 )
| ( v5_lattices @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1669]) ).
thf(1682,plain,
! [SV184: $i] :
( ( ( ( v3_struct_0 @ SV184 )
| ~ ( v10_lattices @ SV184 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV184 ) )
= $true )
| ( ( v6_lattices @ SV184 )
= $true )
| ( ( l3_lattices @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1670]) ).
thf(1683,plain,
! [SV175: $i] :
( ( ( v11_lattices @ SV175 )
= $false )
| ( ( v3_struct_0 @ SV175 )
= $true )
| ( ( v10_lattices @ SV175 )
= $false )
| ( ( v7_lattices @ SV175 )
= $true )
| ( ( l3_lattices @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1684,plain,
! [SV152: $i,SV46: $i,SV185: $i] :
( ( ( r2_hidden @ SV185 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
= $false )
| ( ( r2_hidden @ SV152 @ SV185 )
= $true )
| ( ( m1_filter_0 @ SV185 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1685,plain,
! [SV152: $i,SV46: $i,SV186: $i] :
( ( ( r2_hidden @ SV186 @ ( k1_funct_1 @ ( k8_lopclset @ SV46 ) @ SV152 ) )
= $false )
| ( ( v1_filter_0 @ SV186 @ SV46 )
= $true )
| ( ( m1_filter_0 @ SV186 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV46 ) )
= $false )
| ( ( v17_lattices @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v10_lattices @ SV46 )
= $false )
| ( ( v3_realset2 @ SV46 )
= $true )
| ( ( l3_lattices @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1686,plain,
! [SV187: $i] :
( ( ( v3_struct_0 @ SV187 )
= $true )
| ( ( ~ ( v10_lattices @ SV187 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV187 ) )
= $true )
| ( ( l3_lattices @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1676]) ).
thf(1687,plain,
! [SV188: $i] :
( ( ( v3_struct_0 @ SV188 )
= $true )
| ( ( ~ ( v10_lattices @ SV188 ) )
= $true )
| ( ( v4_lattices @ SV188 )
= $true )
| ( ( l3_lattices @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1677]) ).
thf(1688,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1689,plain,
( ( ~ ( v11_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1690,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1691,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v11_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1692,plain,
! [SV189: $i] :
( ( ( l3_lattices @ SV189 )
= $false )
| ( ( ( v3_struct_0 @ SV189 )
| ~ ( v10_lattices @ SV189 )
| ~ ( v11_lattices @ SV189 )
| ( v5_lattices @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1693,plain,
! [SV184: $i] :
( ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( ~ ( v10_lattices @ SV184 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV184 ) )
= $true )
| ( ( v6_lattices @ SV184 )
= $true )
| ( ( l3_lattices @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1694,plain,
! [SV187: $i] :
( ( ( v10_lattices @ SV187 )
= $false )
| ( ( v3_struct_0 @ SV187 )
= $true )
| ( ( ~ ( v3_struct_0 @ SV187 ) )
= $true )
| ( ( l3_lattices @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1695,plain,
! [SV188: $i] :
( ( ( v10_lattices @ SV188 )
= $false )
| ( ( v3_struct_0 @ SV188 )
= $true )
| ( ( v4_lattices @ SV188 )
= $true )
| ( ( l3_lattices @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1696,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1697,plain,
( ( v11_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1698,plain,
! [SV190: $i] :
( ( ~ ( l3_lattices @ SV190 )
| ( v3_struct_0 @ SV190 )
| ~ ( v10_lattices @ SV190 )
| ~ ( v11_lattices @ SV190 )
| ~ ( v3_struct_0 @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(1699,plain,
! [SV191: $i] :
( ( ~ ( l3_lattices @ SV191 )
| ( v3_struct_0 @ SV191 )
| ~ ( v10_lattices @ SV191 )
| ~ ( v11_lattices @ SV191 )
| ( v4_lattices @ SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(1700,plain,
! [SV189: $i] :
( ( ( ( v3_struct_0 @ SV189 )
| ~ ( v10_lattices @ SV189 )
| ~ ( v11_lattices @ SV189 ) )
= $true )
| ( ( v5_lattices @ SV189 )
= $true )
| ( ( l3_lattices @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1692]) ).
thf(1701,plain,
! [SV184: $i] :
( ( ( v10_lattices @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( ~ ( v11_lattices @ SV184 ) )
= $true )
| ( ( v6_lattices @ SV184 )
= $true )
| ( ( l3_lattices @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1702,plain,
! [SV187: $i] :
( ( ( v3_struct_0 @ SV187 )
= $false )
| ( ( v3_struct_0 @ SV187 )
= $true )
| ( ( v10_lattices @ SV187 )
= $false )
| ( ( l3_lattices @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1703,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
| ~ ( v10_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1704,plain,
! [SV190: $i] :
( ( ( ~ ( l3_lattices @ SV190 ) )
= $true )
| ( ( ( v3_struct_0 @ SV190 )
| ~ ( v10_lattices @ SV190 )
| ~ ( v11_lattices @ SV190 )
| ~ ( v3_struct_0 @ SV190 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1698]) ).
thf(1705,plain,
! [SV191: $i] :
( ( ( ~ ( l3_lattices @ SV191 ) )
= $true )
| ( ( ( v3_struct_0 @ SV191 )
| ~ ( v10_lattices @ SV191 )
| ~ ( v11_lattices @ SV191 )
| ( v4_lattices @ SV191 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1699]) ).
thf(1706,plain,
! [SV189: $i] :
( ( ( ( v3_struct_0 @ SV189 )
| ~ ( v10_lattices @ SV189 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV189 ) )
= $true )
| ( ( v5_lattices @ SV189 )
= $true )
| ( ( l3_lattices @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1700]) ).
thf(1707,plain,
! [SV184: $i] :
( ( ( v11_lattices @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( v10_lattices @ SV184 )
= $false )
| ( ( v6_lattices @ SV184 )
= $true )
| ( ( l3_lattices @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1708,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1703]) ).
thf(1709,plain,
( ( ~ ( v10_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1703]) ).
thf(1710,plain,
! [SV190: $i] :
( ( ( l3_lattices @ SV190 )
= $false )
| ( ( ( v3_struct_0 @ SV190 )
| ~ ( v10_lattices @ SV190 )
| ~ ( v11_lattices @ SV190 )
| ~ ( v3_struct_0 @ SV190 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1711,plain,
! [SV191: $i] :
( ( ( l3_lattices @ SV191 )
= $false )
| ( ( ( v3_struct_0 @ SV191 )
| ~ ( v10_lattices @ SV191 )
| ~ ( v11_lattices @ SV191 )
| ( v4_lattices @ SV191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1712,plain,
! [SV189: $i] :
( ( ( v3_struct_0 @ SV189 )
= $true )
| ( ( ~ ( v10_lattices @ SV189 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV189 ) )
= $true )
| ( ( v5_lattices @ SV189 )
= $true )
| ( ( l3_lattices @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1706]) ).
thf(1713,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1714,plain,
( ( v10_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1709]) ).
thf(1715,plain,
! [SV190: $i] :
( ( ( ( v3_struct_0 @ SV190 )
| ~ ( v10_lattices @ SV190 )
| ~ ( v11_lattices @ SV190 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV190 ) )
= $true )
| ( ( l3_lattices @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1716,plain,
! [SV191: $i] :
( ( ( ( v3_struct_0 @ SV191 )
| ~ ( v10_lattices @ SV191 )
| ~ ( v11_lattices @ SV191 ) )
= $true )
| ( ( v4_lattices @ SV191 )
= $true )
| ( ( l3_lattices @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(1717,plain,
! [SV189: $i] :
( ( ( v10_lattices @ SV189 )
= $false )
| ( ( v3_struct_0 @ SV189 )
= $true )
| ( ( ~ ( v11_lattices @ SV189 ) )
= $true )
| ( ( v5_lattices @ SV189 )
= $true )
| ( ( l3_lattices @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1718,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
| ~ ( v9_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1719,plain,
! [SV190: $i] :
( ( ( ( v3_struct_0 @ SV190 )
| ~ ( v10_lattices @ SV190 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV190 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV190 ) )
= $true )
| ( ( l3_lattices @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1720,plain,
! [SV191: $i] :
( ( ( ( v3_struct_0 @ SV191 )
| ~ ( v10_lattices @ SV191 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV191 ) )
= $true )
| ( ( v4_lattices @ SV191 )
= $true )
| ( ( l3_lattices @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1721,plain,
! [SV189: $i] :
( ( ( v11_lattices @ SV189 )
= $false )
| ( ( v3_struct_0 @ SV189 )
= $true )
| ( ( v10_lattices @ SV189 )
= $false )
| ( ( v5_lattices @ SV189 )
= $true )
| ( ( l3_lattices @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1722,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1723,plain,
( ( ~ ( v9_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1724,plain,
! [SV190: $i] :
( ( ( v3_struct_0 @ SV190 )
= $true )
| ( ( ~ ( v10_lattices @ SV190 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV190 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV190 ) )
= $true )
| ( ( l3_lattices @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1725,plain,
! [SV191: $i] :
( ( ( v3_struct_0 @ SV191 )
= $true )
| ( ( ~ ( v10_lattices @ SV191 ) )
= $true )
| ( ( ~ ( v11_lattices @ SV191 ) )
= $true )
| ( ( v4_lattices @ SV191 )
= $true )
| ( ( l3_lattices @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1720]) ).
thf(1726,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1722]) ).
thf(1727,plain,
( ( v9_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1728,plain,
! [SV190: $i] :
( ( ( v10_lattices @ SV190 )
= $false )
| ( ( v3_struct_0 @ SV190 )
= $true )
| ( ( ~ ( v11_lattices @ SV190 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV190 ) )
= $true )
| ( ( l3_lattices @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1729,plain,
! [SV191: $i] :
( ( ( v10_lattices @ SV191 )
= $false )
| ( ( v3_struct_0 @ SV191 )
= $true )
| ( ( ~ ( v11_lattices @ SV191 ) )
= $true )
| ( ( v4_lattices @ SV191 )
= $true )
| ( ( l3_lattices @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1730,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
| ~ ( v8_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1731,plain,
! [SV190: $i] :
( ( ( v11_lattices @ SV190 )
= $false )
| ( ( v3_struct_0 @ SV190 )
= $true )
| ( ( v10_lattices @ SV190 )
= $false )
| ( ( ~ ( v3_struct_0 @ SV190 ) )
= $true )
| ( ( l3_lattices @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1732,plain,
! [SV191: $i] :
( ( ( v11_lattices @ SV191 )
= $false )
| ( ( v3_struct_0 @ SV191 )
= $true )
| ( ( v10_lattices @ SV191 )
= $false )
| ( ( v4_lattices @ SV191 )
= $true )
| ( ( l3_lattices @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1733,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1734,plain,
( ( ~ ( v8_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1735,plain,
! [SV190: $i] :
( ( ( v3_struct_0 @ SV190 )
= $false )
| ( ( v10_lattices @ SV190 )
= $false )
| ( ( v3_struct_0 @ SV190 )
= $true )
| ( ( v11_lattices @ SV190 )
= $false )
| ( ( l3_lattices @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1736,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1737,plain,
( ( v8_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1738,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
| ~ ( v7_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1739,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1740,plain,
( ( ~ ( v7_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1741,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(1742,plain,
( ( v7_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1740]) ).
thf(1743,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
| ~ ( v6_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1744,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1745,plain,
( ( ~ ( v6_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1746,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(1747,plain,
( ( v6_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1748,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
| ~ ( v5_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1749,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1748]) ).
thf(1750,plain,
( ( ~ ( v5_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1748]) ).
thf(1751,plain,
( ( ~ ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1749]) ).
thf(1752,plain,
( ( v5_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1750]) ).
thf(1753,plain,
( ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
| ~ ( v4_lattices @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1754,plain,
( ( ~ ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1755,plain,
( ( ~ ( v4_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1756,plain,
( ( ~ ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(1757,plain,
( ( v4_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(1758,plain,
( ( ~ ( l3_lattices @ sK21_A )
| ~ ~ ( v3_struct_0 @ sK21_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1759,plain,
( ( ~ ( l3_lattices @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1758]) ).
thf(1760,plain,
( ( ~ ~ ( v3_struct_0 @ sK21_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1758]) ).
thf(1761,plain,
( ( l3_lattices @ sK21_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1762,plain,
( ( ~ ( v3_struct_0 @ sK21_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(1763,plain,
( ( v3_struct_0 @ sK21_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1762]) ).
thf(1764,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[263,1763,1761,1757,1752,1747,1742,1737,1735,1732,1727,1721,1714,1707,1702,1697,1695,1685,1684,1683,1673,1672,1667,1665,1659,1657,1656,1655,1650,1638,1635,1634,1629,1608,1607,1606,1604,1597,1594,1593,1590,1565,1559,1552,1545,1544,1525,1524,1523,1521,1518,1516,1515,1514,1506,1505,1504,1500,1499,1498,1490,1489,1478,1451,1443,1438,1432,1422,1412,1397,1396,1395,1393,1392,1391,1388,1385,1381,1380,1379,1376,1374,1371,1363,1361,1357,1354,1353,1351,1348,1347,1340,1337,1336,1331,1321,1320,1285,1273,1265,1212,1198,1195,1193,1184,1178,1175,1173,1170,1166,1161,1159,1155,1150,1147,1146,1145,1137,1136,1133,1130,1127,1120,1117,1114,1113,1104,1102,1101,1078,1077,1044,1043,1029,1020,997,996,992,964,959,945,937,926,918,917,916,901,896,893,892,853,852,850,849,848,847,840,812,781,769,765,757,754,753,752,751,748,734,726,698,696,679,659,650,647,628,611,584,579,577,576,574,573,572,569,483,482,431,430,420,405,352,351,349,338,337,330,329,324,299,297,292,291,290,264]) ).
thf(1765,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 19:15:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.38 ..
% 0.19/0.41
% 0.19/0.41 No.of.Axioms: 86
% 0.19/0.41
% 0.19/0.41 Length.of.Defs: 0
% 0.19/0.41
% 0.19/0.41 Contains.Choice.Funs: false
% 0.19/0.45 ..
% 0.19/0.47 (rf:0,axioms:86,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:88,loop_count:0,foatp_calls:0,translation:fof_full)............................................................................................................
% 31.76/31.98
% 31.76/31.98 ********************************
% 31.76/31.98 * All subproblems solved! *
% 31.76/31.98 ********************************
% 31.76/31.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:91,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1764,loop_count:0,foatp_calls:1,translation:fof_full)
% 32.65/32.84
% 32.65/32.84 %**** Beginning of derivation protocol ****
% 32.65/32.84 % SZS output start CNFRefutation
% See solution above
% 32.65/32.85
% 32.65/32.85 %**** End of derivation protocol ****
% 32.65/32.85 %**** no. of clauses in derivation: 1765 ****
% 32.65/32.85 %**** clause counter: 1764 ****
% 32.65/32.85
% 32.65/32.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:91,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1764,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------