TSTP Solution File: LAT310+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT310+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 : n024.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 05:46:15 EDT 2022
% Result : Theorem 57.87s 58.12s
% Output : CNFRefutation 58.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 86
% Syntax : Number of formulae : 628 ( 314 unt; 42 typ; 0 def)
% Number of atoms : 5708 (1479 equ; 0 cnn)
% Maximal formula atoms : 12 ( 9 avg)
% Number of connectives : 9373 (1980 ~;2106 |; 180 &;5015 @)
% ( 4 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 14 con; 0-3 aty)
% Number of variables : 978 ( 0 ^ 950 !; 28 ?; 978 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_k19_filter_2,type,
k19_filter_2: $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_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_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_filter_2,type,
m2_filter_2: $i > $i > $o ).
thf(tp_m2_lattice4,type,
m2_lattice4: $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_B,type,
sK10_B: $i > $i ).
thf(tp_sK11_B,type,
sK11_B: $i > $i ).
thf(tp_sK12_B,type,
sK12_B: $i > $i ).
thf(tp_sK13_B,type,
sK13_B: $i > $i ).
thf(tp_sK14_B,type,
sK14_B: $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_A,type,
sK18_A: $i ).
thf(tp_sK19_D,type,
sK19_D: $i > $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY67,type,
sK2_SY67: $i ).
thf(tp_sK3_SY70,type,
sK3_SY70: $i ).
thf(tp_sK4_SY72,type,
sK4_SY72: $i ).
thf(tp_sK5_B,type,
sK5_B: $i > $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_A,type,
sK7_A: $i ).
thf(tp_sK8_B,type,
sK8_B: $i > $i ).
thf(tp_sK9_A,type,
sK9_A: $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_v10_lattices,type,
v10_lattices: $i > $o ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v4_lattices,type,
v4_lattices: $i > $o ).
thf(tp_v5_lattices,type,
v5_lattices: $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,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(4,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(5,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(6,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(7,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(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r1_tarski @ A @ B )
& ( r1_tarski @ B @ C ) )
=> ( r1_tarski @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(10,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(11,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(12,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(13,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(14,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(15,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(16,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(17,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] :
( ( m2_lattice4 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattice4) ).
thf(18,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(19,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(20,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(21,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] : ( m2_lattice4 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_lattice4) ).
thf(22,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] : ( m2_filter_2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_filter_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] : ( l3_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
thf(25,axiom,
? [A: $i] : ( l2_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
thf(26,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(27,axiom,
? [A: $i] : ( l1_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
thf(28,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(29,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_lattice4 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
thf(30,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
thf(31,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(32,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
thf(33,axiom,
! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
thf(34,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(35,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
thf(36,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(37,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m2_filter_2 @ ( k19_filter_2 @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).
thf(39,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [C: $i] :
( ( m2_filter_2 @ C @ A )
=> ( ( C
= ( k19_filter_2 @ A @ B ) )
<=> ( ( r1_tarski @ B @ C )
& ! [D: $i] :
( ( m2_filter_2 @ D @ A )
=> ( ( r1_tarski @ B @ D )
=> ( r1_tarski @ C @ D ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_filter_2) ).
thf(40,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(41,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(42,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(44,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [C: $i] :
( ( ~ ( v1_xboole_0 @ C )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [D: $i] :
( ( ~ ( v1_xboole_0 @ D )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( ( r1_tarski @ C @ D )
=> ( r1_tarski @ ( k19_filter_2 @ A @ C ) @ ( k19_filter_2 @ A @ D ) ) )
& ( r1_tarski @ ( k19_filter_2 @ A @ ( k19_filter_2 @ A @ B ) ) @ ( k19_filter_2 @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_2) ).
thf(45,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [C: $i] :
( ( ~ ( v1_xboole_0 @ C )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [D: $i] :
( ( ~ ( v1_xboole_0 @ D )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( ( r1_tarski @ C @ D )
=> ( r1_tarski @ ( k19_filter_2 @ A @ C ) @ ( k19_filter_2 @ A @ D ) ) )
& ( r1_tarski @ ( k19_filter_2 @ A @ ( k19_filter_2 @ A @ B ) ) @ ( k19_filter_2 @ A @ B ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[44]) ).
thf(46,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [C: $i] :
( ( ~ ( v1_xboole_0 @ C )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [D: $i] :
( ( ~ ( v1_xboole_0 @ D )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( ( r1_tarski @ C @ D )
=> ( r1_tarski @ ( k19_filter_2 @ A @ C ) @ ( k19_filter_2 @ A @ D ) ) )
& ( r1_tarski @ ( k19_filter_2 @ A @ ( k19_filter_2 @ A @ B ) ) @ ( k19_filter_2 @ A @ B ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[45]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(49,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(50,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)],[4]) ).
thf(51,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)],[5]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r1_tarski @ A @ B )
& ( r1_tarski @ B @ C ) )
=> ( r1_tarski @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(57,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)],[11]) ).
thf(58,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(59,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(60,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(61,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(62,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(63,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] :
( ( m2_lattice4 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(64,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(65,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(66,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(67,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] : ( m2_lattice4 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(68,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] : ( m2_filter_2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(69,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(70,plain,
( ( ? [A: $i] : ( l3_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(71,plain,
( ( ? [A: $i] : ( l2_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(72,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(73,plain,
( ( ? [A: $i] : ( l1_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(74,plain,
$true = $true,
inference(unfold_def,[status(thm)],[28]) ).
thf(75,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_lattice4 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(76,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(77,plain,
$true = $true,
inference(unfold_def,[status(thm)],[31]) ).
thf(78,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(79,plain,
( ( ! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(80,plain,
$true = $true,
inference(unfold_def,[status(thm)],[34]) ).
thf(81,plain,
( ( ! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(82,plain,
$true = $true,
inference(unfold_def,[status(thm)],[36]) ).
thf(83,plain,
$true = $true,
inference(unfold_def,[status(thm)],[37]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m2_filter_2 @ ( k19_filter_2 @ A @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(85,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ! [C: $i] :
( ( m2_filter_2 @ C @ A )
=> ( ( C
= ( k19_filter_2 @ A @ B ) )
<=> ( ( r1_tarski @ B @ C )
& ! [D: $i] :
( ( m2_filter_2 @ D @ A )
=> ( ( r1_tarski @ B @ D )
=> ( r1_tarski @ C @ D ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(86,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)],[40]) ).
thf(87,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)],[41]) ).
thf(88,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(90,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( v10_lattices @ sK1_A )
& ( l3_lattices @ sK1_A ) )
=> ! [SY67: $i] :
( ( ~ ( v1_xboole_0 @ SY67 )
& ( m1_subset_1 @ SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ! [SY68: $i] :
( ( ~ ( v1_xboole_0 @ SY68 )
& ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ! [SY69: $i] :
( ( ~ ( v1_xboole_0 @ SY69 )
& ( m1_subset_1 @ SY69 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ( ( ( r1_tarski @ SY68 @ SY69 )
=> ( r1_tarski @ ( k19_filter_2 @ sK1_A @ SY68 ) @ ( k19_filter_2 @ sK1_A @ SY69 ) ) )
& ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ SY67 ) ) @ ( k19_filter_2 @ sK1_A @ SY67 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(91,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[90]) ).
thf(92,plain,
( ( v10_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[90]) ).
thf(93,plain,
( ( l3_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[90]) ).
thf(94,plain,
( ( ! [SY67: $i] :
( ( ~ ( v1_xboole_0 @ SY67 )
& ( m1_subset_1 @ SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ! [SY68: $i] :
( ( ~ ( v1_xboole_0 @ SY68 )
& ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ! [SY69: $i] :
( ( ~ ( v1_xboole_0 @ SY69 )
& ( m1_subset_1 @ SY69 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ( ( ( r1_tarski @ SY68 @ SY69 )
=> ( r1_tarski @ ( k19_filter_2 @ sK1_A @ SY68 ) @ ( k19_filter_2 @ sK1_A @ SY69 ) ) )
& ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ SY67 ) ) @ ( k19_filter_2 @ sK1_A @ SY67 ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[90]) ).
thf(95,plain,
( ( ~ ! [SY67: $i] :
( ( ~ ( v1_xboole_0 @ SY67 )
& ( m1_subset_1 @ SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ! [SY68: $i] :
( ( ~ ( v1_xboole_0 @ SY68 )
& ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ! [SY69: $i] :
( ( ~ ( v1_xboole_0 @ SY69 )
& ( m1_subset_1 @ SY69 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
=> ( ( ( r1_tarski @ SY68 @ SY69 )
=> ( r1_tarski @ ( k19_filter_2 @ sK1_A @ SY68 ) @ ( k19_filter_2 @ sK1_A @ SY69 ) ) )
& ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ SY67 ) ) @ ( k19_filter_2 @ sK1_A @ SY67 ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[94]) ).
thf(96,plain,
( ( ~ ( v1_xboole_0 @ sK2_SY67 )
& ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ~ ( v1_xboole_0 @ sK3_SY70 )
& ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ~ ( v1_xboole_0 @ sK4_SY72 )
& ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
& ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(98,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(99,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(100,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)],[50]) ).
thf(101,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)],[51]) ).
thf(102,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)],[52]) ).
thf(103,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(104,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( r1_tarski @ A @ B )
| ~ ( r1_tarski @ B @ C )
| ( r1_tarski @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(105,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(106,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(107,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK5_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK5_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(108,plain,
( ( ( l1_struct_0 @ sK6_A )
& ~ ( v3_struct_0 @ sK6_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(109,plain,
( ( ~ ( v1_xboole_0 @ sK7_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(110,plain,
( ( ! [A: $i] :
( ( m1_subset_1 @ ( sK8_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ ( sK8_B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(111,plain,
( ( v1_xboole_0 @ sK9_A )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(112,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK10_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK10_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(113,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ( m2_lattice4 @ ( sK11_B @ A ) @ A )
& ~ ( v1_xboole_0 @ ( sK11_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(114,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(115,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( m2_lattice4 @ ( sK12_B @ A ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(116,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( m2_filter_2 @ ( sK13_B @ A ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(117,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK14_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(118,plain,
( ( l3_lattices @ sK15_A )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(119,plain,
( ( l2_lattices @ sK16_A )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(120,plain,
( ( l1_struct_0 @ sK17_A )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(121,plain,
( ( l1_lattices @ sK18_A )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(122,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ! [B: $i] :
( ~ ( m2_lattice4 @ B @ A )
| ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(123,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ! [B: $i] :
( ~ ( m2_filter_2 @ B @ A )
| ~ ( v1_xboole_0 @ B ) )
& ! [B: $i] :
( ~ ( m2_filter_2 @ B @ A )
| ( m2_lattice4 @ B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(124,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l1_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l2_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(125,plain,
( ( ! [A: $i] :
( ~ ( l2_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(126,plain,
( ( ! [A: $i] :
( ~ ( l1_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(127,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( m2_filter_2 @ ( k19_filter_2 @ A @ B ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(128,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ! [B: $i] :
( ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( ! [C: $i] :
( ~ ( m2_filter_2 @ C @ A )
| ( ( m2_filter_2 @ ( sK19_D @ C @ B @ A ) @ A )
& ( r1_tarski @ B @ ( sK19_D @ C @ B @ A ) )
& ~ ( r1_tarski @ C @ ( sK19_D @ C @ B @ A ) ) )
| ~ ( r1_tarski @ B @ C )
| ( C
= ( k19_filter_2 @ A @ B ) ) )
& ! [C: $i] :
( ~ ( m2_filter_2 @ C @ A )
| ( C
!= ( k19_filter_2 @ A @ B ) )
| ! [D: $i] :
( ~ ( m2_filter_2 @ D @ A )
| ~ ( r1_tarski @ B @ D )
| ( r1_tarski @ C @ D ) ) )
& ! [C: $i] :
( ~ ( m2_filter_2 @ C @ A )
| ( C
!= ( k19_filter_2 @ A @ B ) )
| ( r1_tarski @ B @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(129,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)],[86]) ).
thf(130,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)],[87]) ).
thf(131,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_funct_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(133,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(134,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_funct_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(135,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)],[130]) ).
thf(136,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)],[129]) ).
thf(137,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ! [B: $i] :
( ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( ! [C: $i] :
( ~ ( m2_filter_2 @ C @ A )
| ( ( m2_filter_2 @ ( sK19_D @ C @ B @ A ) @ A )
& ( r1_tarski @ B @ ( sK19_D @ C @ B @ A ) )
& ~ ( r1_tarski @ C @ ( sK19_D @ C @ B @ A ) ) )
| ~ ( r1_tarski @ B @ C )
| ( C
= ( k19_filter_2 @ A @ B ) ) )
& ! [C: $i] :
( ~ ( m2_filter_2 @ C @ A )
| ( C
!= ( k19_filter_2 @ A @ B ) )
| ! [D: $i] :
( ~ ( m2_filter_2 @ D @ A )
| ~ ( r1_tarski @ B @ D )
| ( r1_tarski @ C @ D ) ) )
& ! [C: $i] :
( ~ ( m2_filter_2 @ C @ A )
| ( C
!= ( k19_filter_2 @ A @ B ) )
| ( r1_tarski @ B @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(138,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( m2_filter_2 @ ( k19_filter_2 @ A @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(139,plain,
$true = $true,
inference(copy,[status(thm)],[83]) ).
thf(140,plain,
$true = $true,
inference(copy,[status(thm)],[82]) ).
thf(141,plain,
( ( ! [A: $i] :
( ~ ( l1_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(142,plain,
$true = $true,
inference(copy,[status(thm)],[80]) ).
thf(143,plain,
( ( ! [A: $i] :
( ~ ( l2_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(144,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l1_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l2_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(145,plain,
$true = $true,
inference(copy,[status(thm)],[77]) ).
thf(146,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ! [B: $i] :
( ~ ( m2_filter_2 @ B @ A )
| ~ ( v1_xboole_0 @ B ) )
& ! [B: $i] :
( ~ ( m2_filter_2 @ B @ A )
| ( m2_lattice4 @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(147,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ! [B: $i] :
( ~ ( m2_lattice4 @ B @ A )
| ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(148,plain,
$true = $true,
inference(copy,[status(thm)],[74]) ).
thf(149,plain,
( ( l1_lattices @ sK18_A )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(150,plain,
( ( l1_struct_0 @ sK17_A )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(151,plain,
( ( l2_lattices @ sK16_A )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(152,plain,
( ( l3_lattices @ sK15_A )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(153,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK14_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(154,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( m2_filter_2 @ ( sK13_B @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(155,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( m2_lattice4 @ ( sK12_B @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(156,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(157,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(158,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(159,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ( m2_lattice4 @ ( sK11_B @ A ) @ A )
& ~ ( v1_xboole_0 @ ( sK11_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(160,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK10_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK10_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(161,plain,
( ( v1_xboole_0 @ sK9_A )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(162,plain,
( ( ! [A: $i] :
( ( m1_subset_1 @ ( sK8_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ ( sK8_B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(163,plain,
( ( ~ ( v1_xboole_0 @ sK7_A ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(164,plain,
( ( ( l1_struct_0 @ sK6_A )
& ~ ( v3_struct_0 @ sK6_A ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(165,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK5_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK5_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(166,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(168,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( r1_tarski @ A @ B )
| ~ ( r1_tarski @ B @ C )
| ( r1_tarski @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(169,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(170,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)],[102]) ).
thf(171,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)],[101]) ).
thf(172,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)],[100]) ).
thf(173,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(174,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(175,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(176,plain,
( ( l3_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(177,plain,
( ( v10_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(178,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(179,plain,
( ( ~ ( v1_xboole_0 @ sK2_SY67 )
& ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ~ ( v1_xboole_0 @ sK3_SY70 )
& ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ~ ( v1_xboole_0 @ sK4_SY72 )
& ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
& ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(180,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)],[170]) ).
thf(181,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_struct_0 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK5_B @ SX0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK5_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(182,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( m2_filter_2 @ SX1 @ SX0 )
| ~ ( v1_xboole_0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m2_filter_2 @ SX1 @ SX0 )
| ( m2_lattice4 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(183,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK6_A )
| ~ ~ ( v3_struct_0 @ sK6_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(184,plain,
( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK2_SY67 )
| ~ ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(185,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)],[136]) ).
thf(186,plain,
( ( ! [SX0: $i] :
~ ( ~ ( m1_subset_1 @ ( sK8_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ ( sK8_B @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(187,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ! [SX1: $i] :
( ( v1_xboole_0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( m2_filter_2 @ SX2 @ SX0 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( ~ ( r1_tarski @ SX1 @ ( sK19_D @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( r1_tarski @ SX2 @ ( sK19_D @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( r1_tarski @ SX1 @ SX2 )
| ( SX2
= ( k19_filter_2 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( m2_filter_2 @ SX2 @ SX0 )
| ( SX2
!= ( k19_filter_2 @ SX0 @ SX1 ) )
| ! [SX3: $i] :
( ~ ( m2_filter_2 @ SX3 @ SX0 )
| ~ ( r1_tarski @ SX1 @ SX3 )
| ( r1_tarski @ SX2 @ SX3 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m2_filter_2 @ SX2 @ SX0 )
| ( SX2
!= ( k19_filter_2 @ SX0 @ SX1 ) )
| ( r1_tarski @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(188,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(189,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)],[135]) ).
thf(190,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( ~ ( m2_lattice4 @ ( sK11_B @ SX0 ) @ SX0 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(191,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK10_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ ( sK10_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(192,plain,
! [SV1: $i] :
( ( ! [SY73: $i] :
( ~ ( r2_hidden @ SV1 @ SY73 )
| ~ ( r2_hidden @ SY73 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(193,plain,
! [SV2: $i] :
( ( ~ ( v1_xboole_0 @ SV2 )
| ( v1_funct_1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(194,plain,
! [SV3: $i] :
( ( ! [SY74: $i] :
( ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 )
| ~ ( l3_lattices @ SV3 )
| ( v1_xboole_0 @ SY74 )
| ~ ( m1_subset_1 @ SY74 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) )
| ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SY74 ) @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(195,plain,
! [SV4: $i] :
( ( ~ ( l1_lattices @ SV4 )
| ( l1_struct_0 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(196,plain,
! [SV5: $i] :
( ( ~ ( l2_lattices @ SV5 )
| ( l1_struct_0 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(197,plain,
! [SV6: $i] :
( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 )
| ! [SY75: $i] :
( ~ ( m2_lattice4 @ SY75 @ SV6 )
| ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(198,plain,
! [SV7: $i] :
( ( m1_subset_1 @ ( sK14_B @ SV7 ) @ SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(199,plain,
! [SV8: $i] :
( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 )
| ( m2_filter_2 @ ( sK13_B @ SV8 ) @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(200,plain,
! [SV9: $i] :
( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 )
| ( m2_lattice4 @ ( sK12_B @ SV9 ) @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(201,plain,
! [SV10: $i] :
( ( ( v3_struct_0 @ SV10 )
| ~ ( l1_struct_0 @ SV10 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(202,plain,
! [SV11: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(203,plain,
( ( v1_xboole_0 @ sK7_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(204,plain,
! [SV12: $i] :
( ( r1_tarski @ SV12 @ SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(205,plain,
! [SV13: $i] :
( ( ! [SY76: $i] :
( ~ ( r2_hidden @ SV13 @ SY76 )
| ( m1_subset_1 @ SV13 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(206,plain,
! [SV14: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ~ ( r1_tarski @ SV14 @ SY77 )
| ~ ( r1_tarski @ SY77 @ SY78 )
| ( r1_tarski @ SV14 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(207,plain,
! [SV15: $i] :
( ( ! [SY79: $i] :
( ~ ( m1_subset_1 @ SV15 @ SY79 )
| ( r2_hidden @ SV15 @ SY79 )
| ( v1_xboole_0 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(208,plain,
! [SV16: $i] :
( ( ! [SY80: $i,SY81: $i] :
( ~ ( m1_subset_1 @ SY80 @ ( k1_zfmisc_1 @ SY81 ) )
| ~ ( r2_hidden @ SV16 @ SY80 )
| ( m1_subset_1 @ SV16 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(209,plain,
! [SV17: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ~ ( m1_subset_1 @ SY82 @ ( k1_zfmisc_1 @ SY83 ) )
| ~ ( r2_hidden @ SV17 @ SY82 )
| ~ ( v1_xboole_0 @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(210,plain,
! [SV18: $i] :
( ( ~ ( v1_xboole_0 @ SV18 )
| ( SV18 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(211,plain,
! [SV19: $i] :
( ( ! [SY84: $i] :
( ~ ( r2_hidden @ SV19 @ SY84 )
| ~ ( v1_xboole_0 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(212,plain,
! [SV20: $i] :
( ( ! [SY85: $i] :
( ( SV20 = SY85 )
| ~ ( v1_xboole_0 @ SV20 )
| ~ ( v1_xboole_0 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(213,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(214,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)],[180]) ).
thf(215,plain,
! [SV21: $i] :
( ( ( v3_struct_0 @ SV21 )
| ~ ( l1_struct_0 @ SV21 )
| ~ ( ~ ( m1_subset_1 @ ( sK5_B @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV21 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK5_B @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(216,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 )
| ~ ( l3_lattices @ SV22 )
| ~ ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(217,plain,
( ( ~ ( l1_struct_0 @ sK6_A )
| ~ ~ ( v3_struct_0 @ sK6_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(218,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK2_SY67 )
| ~ ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(219,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)],[185]) ).
thf(220,plain,
! [SV23: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK8_B @ SV23 ) @ ( k1_zfmisc_1 @ SV23 ) )
| ~ ( v1_xboole_0 @ ( sK8_B @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(221,plain,
! [SV24: $i] :
( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( l3_lattices @ SV24 )
| ! [SY88: $i] :
( ( v1_xboole_0 @ SY88 )
| ~ ( m1_subset_1 @ SY88 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
| ~ ( ~ ! [SY89: $i] :
( ~ ( m2_filter_2 @ SY89 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SY88 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY89 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SY88 @ SY89 )
| ( SY89
= ( k19_filter_2 @ SV24 @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( m2_filter_2 @ SY90 @ SV24 )
| ( SY90
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ! [SY91: $i] :
( ~ ( m2_filter_2 @ SY91 @ SV24 )
| ~ ( r1_tarski @ SY88 @ SY91 )
| ( r1_tarski @ SY90 @ SY91 ) ) )
| ~ ! [SY92: $i] :
( ~ ( m2_filter_2 @ SY92 @ SV24 )
| ( SY92
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ( r1_tarski @ SY88 @ SY92 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(222,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(223,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)],[189]) ).
thf(224,plain,
! [SV25: $i] :
( ( ( v3_struct_0 @ SV25 )
| ~ ( v10_lattices @ SV25 )
| ~ ( l3_lattices @ SV25 )
| ~ ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(225,plain,
! [SV26: $i] :
( ( ( v1_xboole_0 @ SV26 )
| ~ ( ~ ( m1_subset_1 @ ( sK10_B @ SV26 ) @ ( k1_zfmisc_1 @ SV26 ) )
| ~ ~ ( v1_xboole_0 @ ( sK10_B @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(226,plain,
! [SV27: $i,SV1: $i] :
( ( ~ ( r2_hidden @ SV1 @ SV27 )
| ~ ( r2_hidden @ SV27 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(227,plain,
! [SV2: $i] :
( ( ( ~ ( v1_xboole_0 @ SV2 ) )
= $true )
| ( ( v1_funct_1 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(228,plain,
! [SV28: $i,SV3: $i] :
( ( ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 )
| ~ ( l3_lattices @ SV3 )
| ( v1_xboole_0 @ SV28 )
| ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) )
| ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(229,plain,
! [SV4: $i] :
( ( ( ~ ( l1_lattices @ SV4 ) )
= $true )
| ( ( l1_struct_0 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(230,plain,
! [SV5: $i] :
( ( ( ~ ( l2_lattices @ SV5 ) )
= $true )
| ( ( l1_struct_0 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(231,plain,
! [SV6: $i] :
( ( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( m2_lattice4 @ SY75 @ SV6 )
| ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(232,plain,
! [SV8: $i] :
( ( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( m2_filter_2 @ ( sK13_B @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(233,plain,
! [SV9: $i] :
( ( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( m2_lattice4 @ ( sK12_B @ SV9 ) @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(234,plain,
! [SV10: $i] :
( ( ( ( v3_struct_0 @ SV10 )
| ~ ( l1_struct_0 @ SV10 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(235,plain,
! [SV11: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV11 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(236,plain,
! [SV29: $i,SV13: $i] :
( ( ~ ( r2_hidden @ SV13 @ SV29 )
| ( m1_subset_1 @ SV13 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(237,plain,
! [SV30: $i,SV14: $i] :
( ( ! [SY93: $i] :
( ~ ( r1_tarski @ SV14 @ SV30 )
| ~ ( r1_tarski @ SV30 @ SY93 )
| ( r1_tarski @ SV14 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(238,plain,
! [SV31: $i,SV15: $i] :
( ( ~ ( m1_subset_1 @ SV15 @ SV31 )
| ( r2_hidden @ SV15 @ SV31 )
| ( v1_xboole_0 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(239,plain,
! [SV16: $i,SV32: $i] :
( ( ! [SY94: $i] :
( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SY94 ) )
| ~ ( r2_hidden @ SV16 @ SV32 )
| ( m1_subset_1 @ SV16 @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(240,plain,
! [SV17: $i,SV33: $i] :
( ( ! [SY95: $i] :
( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SY95 ) )
| ~ ( r2_hidden @ SV17 @ SV33 )
| ~ ( v1_xboole_0 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(241,plain,
! [SV18: $i] :
( ( ( ~ ( v1_xboole_0 @ SV18 ) )
= $true )
| ( ( SV18 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(242,plain,
! [SV34: $i,SV19: $i] :
( ( ~ ( r2_hidden @ SV19 @ SV34 )
| ~ ( v1_xboole_0 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(243,plain,
! [SV35: $i,SV20: $i] :
( ( ( SV20 = SV35 )
| ~ ( v1_xboole_0 @ SV20 )
| ~ ( v1_xboole_0 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(244,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(245,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(246,plain,
! [SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( l1_struct_0 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK5_B @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV21 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK5_B @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(247,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 )
| ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( ~ ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(248,plain,
( ( ~ ( l1_struct_0 @ sK6_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(249,plain,
( ( ~ ~ ( v3_struct_0 @ sK6_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(250,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK2_SY67 )
| ~ ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(251,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(252,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)],[219]) ).
thf(253,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)],[219]) ).
thf(254,plain,
! [SV23: $i] :
( ( ~ ( m1_subset_1 @ ( sK8_B @ SV23 ) @ ( k1_zfmisc_1 @ SV23 ) )
| ~ ( v1_xboole_0 @ ( sK8_B @ SV23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(255,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( ! [SY88: $i] :
( ( v1_xboole_0 @ SY88 )
| ~ ( m1_subset_1 @ SY88 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
| ~ ( ~ ! [SY89: $i] :
( ~ ( m2_filter_2 @ SY89 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SY88 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY89 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SY88 @ SY89 )
| ( SY89
= ( k19_filter_2 @ SV24 @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( m2_filter_2 @ SY90 @ SV24 )
| ( SY90
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ! [SY91: $i] :
( ~ ( m2_filter_2 @ SY91 @ SV24 )
| ~ ( r1_tarski @ SY88 @ SY91 )
| ( r1_tarski @ SY90 @ SY91 ) ) )
| ~ ! [SY92: $i] :
( ~ ( m2_filter_2 @ SY92 @ SV24 )
| ( SY92
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ( r1_tarski @ SY88 @ SY92 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(256,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(257,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(258,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)],[223]) ).
thf(259,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(260,plain,
! [SV25: $i] :
( ( ( ( v3_struct_0 @ SV25 )
| ~ ( v10_lattices @ SV25 )
| ~ ( l3_lattices @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(261,plain,
! [SV26: $i] :
( ( ( v1_xboole_0 @ SV26 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK10_B @ SV26 ) @ ( k1_zfmisc_1 @ SV26 ) )
| ~ ~ ( v1_xboole_0 @ ( sK10_B @ SV26 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(262,plain,
! [SV27: $i,SV1: $i] :
( ( ( ~ ( r2_hidden @ SV1 @ SV27 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV27 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(263,plain,
! [SV2: $i] :
( ( ( v1_xboole_0 @ SV2 )
= $false )
| ( ( v1_funct_1 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(264,plain,
! [SV28: $i,SV3: $i] :
( ( ( ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 )
| ~ ( l3_lattices @ SV3 )
| ( v1_xboole_0 @ SV28 )
| ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) ) )
= $true )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(265,plain,
! [SV4: $i] :
( ( ( l1_lattices @ SV4 )
= $false )
| ( ( l1_struct_0 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(266,plain,
! [SV5: $i] :
( ( ( l2_lattices @ SV5 )
= $false )
| ( ( l1_struct_0 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(267,plain,
! [SV6: $i] :
( ( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( m2_lattice4 @ SY75 @ SV6 )
| ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(268,plain,
! [SV8: $i] :
( ( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( m2_filter_2 @ ( sK13_B @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(269,plain,
! [SV9: $i] :
( ( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( m2_lattice4 @ ( sK12_B @ SV9 ) @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(270,plain,
! [SV10: $i] :
( ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV10 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(271,plain,
! [SV29: $i,SV13: $i] :
( ( ( ~ ( r2_hidden @ SV13 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ SV13 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(272,plain,
! [SV36: $i,SV30: $i,SV14: $i] :
( ( ~ ( r1_tarski @ SV14 @ SV30 )
| ~ ( r1_tarski @ SV30 @ SV36 )
| ( r1_tarski @ SV14 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(273,plain,
! [SV31: $i,SV15: $i] :
( ( ( ~ ( m1_subset_1 @ SV15 @ SV31 ) )
= $true )
| ( ( ( r2_hidden @ SV15 @ SV31 )
| ( v1_xboole_0 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(274,plain,
! [SV16: $i,SV37: $i,SV32: $i] :
( ( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV37 ) )
| ~ ( r2_hidden @ SV16 @ SV32 )
| ( m1_subset_1 @ SV16 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(275,plain,
! [SV17: $i,SV38: $i,SV33: $i] :
( ( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ( r2_hidden @ SV17 @ SV33 )
| ~ ( v1_xboole_0 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(276,plain,
! [SV18: $i] :
( ( ( v1_xboole_0 @ SV18 )
= $false )
| ( ( SV18 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(277,plain,
! [SV34: $i,SV19: $i] :
( ( ( ~ ( r2_hidden @ SV19 @ SV34 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(278,plain,
! [SV35: $i,SV20: $i] :
( ( ( ( SV20 = SV35 )
| ~ ( v1_xboole_0 @ SV20 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(279,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(280,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(281,plain,
! [SV21: $i] :
( ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK5_B @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV21 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK5_B @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(282,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( ~ ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(283,plain,
( ( l1_struct_0 @ sK6_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(284,plain,
( ( ~ ( v3_struct_0 @ sK6_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(285,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK2_SY67 )
| ~ ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(286,plain,
( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(287,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)],[252]) ).
thf(288,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)],[253]) ).
thf(289,plain,
! [SV23: $i] :
( ( ~ ( m1_subset_1 @ ( sK8_B @ SV23 ) @ ( k1_zfmisc_1 @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(290,plain,
! [SV23: $i] :
( ( ~ ( v1_xboole_0 @ ( sK8_B @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(291,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( ! [SY88: $i] :
( ( v1_xboole_0 @ SY88 )
| ~ ( m1_subset_1 @ SY88 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
| ~ ( ~ ! [SY89: $i] :
( ~ ( m2_filter_2 @ SY89 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SY88 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY89 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SY88 @ SY89 )
| ( SY89
= ( k19_filter_2 @ SV24 @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( m2_filter_2 @ SY90 @ SV24 )
| ( SY90
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ! [SY91: $i] :
( ~ ( m2_filter_2 @ SY91 @ SV24 )
| ~ ( r1_tarski @ SY88 @ SY91 )
| ( r1_tarski @ SY90 @ SY91 ) ) )
| ~ ! [SY92: $i] :
( ~ ( m2_filter_2 @ SY92 @ SV24 )
| ( SY92
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ( r1_tarski @ SY88 @ SY92 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(292,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(293,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(294,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)],[258]) ).
thf(295,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v9_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(296,plain,
! [SV25: $i] :
( ( ( ( v3_struct_0 @ SV25 )
| ~ ( v10_lattices @ SV25 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(297,plain,
! [SV26: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK10_B @ SV26 ) @ ( k1_zfmisc_1 @ SV26 ) )
| ~ ~ ( v1_xboole_0 @ ( sK10_B @ SV26 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(298,plain,
! [SV27: $i,SV1: $i] :
( ( ( r2_hidden @ SV1 @ SV27 )
= $false )
| ( ( ~ ( r2_hidden @ SV27 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(299,plain,
! [SV28: $i,SV3: $i] :
( ( ( ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 )
| ~ ( l3_lattices @ SV3 )
| ( v1_xboole_0 @ SV28 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) ) )
= $true )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(300,plain,
! [SV6: $i] :
( ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( v10_lattices @ SV6 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( m2_lattice4 @ SY75 @ SV6 )
| ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(301,plain,
! [SV8: $i] :
( ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( v10_lattices @ SV8 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( m2_filter_2 @ ( sK13_B @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(302,plain,
! [SV9: $i] :
( ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( m2_lattice4 @ ( sK12_B @ SV9 ) @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(303,plain,
! [SV10: $i] :
( ( ( l1_struct_0 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(304,plain,
! [SV29: $i,SV13: $i] :
( ( ( r2_hidden @ SV13 @ SV29 )
= $false )
| ( ( m1_subset_1 @ SV13 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(305,plain,
! [SV36: $i,SV30: $i,SV14: $i] :
( ( ( ~ ( r1_tarski @ SV14 @ SV30 )
| ~ ( r1_tarski @ SV30 @ SV36 ) )
= $true )
| ( ( r1_tarski @ SV14 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(306,plain,
! [SV31: $i,SV15: $i] :
( ( ( m1_subset_1 @ SV15 @ SV31 )
= $false )
| ( ( ( r2_hidden @ SV15 @ SV31 )
| ( v1_xboole_0 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(307,plain,
! [SV16: $i,SV37: $i,SV32: $i] :
( ( ( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV37 ) )
| ~ ( r2_hidden @ SV16 @ SV32 ) )
= $true )
| ( ( m1_subset_1 @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(308,plain,
! [SV17: $i,SV38: $i,SV33: $i] :
( ( ( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ( r2_hidden @ SV17 @ SV33 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(309,plain,
! [SV34: $i,SV19: $i] :
( ( ( r2_hidden @ SV19 @ SV34 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(310,plain,
! [SV35: $i,SV20: $i] :
( ( ( SV20 = SV35 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV20 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(311,plain,
! [SV39: $i] :
( ( ! [SY96: $i] :
( ~ ( m1_subset_1 @ SV39 @ ( k1_zfmisc_1 @ SY96 ) )
| ( r1_tarski @ SV39 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(312,plain,
! [SV40: $i] :
( ( ! [SY97: $i] :
( ~ ( r1_tarski @ SV40 @ SY97 )
| ( m1_subset_1 @ SV40 @ ( k1_zfmisc_1 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(313,plain,
! [SV21: $i] :
( ( ( l1_struct_0 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK5_B @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV21 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK5_B @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(314,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v10_lattices @ SV22 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( ~ ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(315,plain,
( ( v3_struct_0 @ sK6_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(316,plain,
( ( ~ ~ ( v1_xboole_0 @ sK2_SY67 )
| ~ ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(317,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(318,plain,
! [SV41: $i] :
( ( ~ ( l3_lattices @ SV41 )
| ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 )
| ~ ( v6_lattices @ SV41 )
| ~ ( v7_lattices @ SV41 )
| ~ ( v8_lattices @ SV41 )
| ~ ( v9_lattices @ SV41 )
| ~ ( v3_struct_0 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(319,plain,
! [SV42: $i] :
( ( ~ ( l3_lattices @ SV42 )
| ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 )
| ~ ( v6_lattices @ SV42 )
| ~ ( v7_lattices @ SV42 )
| ~ ( v8_lattices @ SV42 )
| ~ ( v9_lattices @ SV42 )
| ( v10_lattices @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(320,plain,
! [SV23: $i] :
( ( m1_subset_1 @ ( sK8_B @ SV23 ) @ ( k1_zfmisc_1 @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(321,plain,
! [SV23: $i] :
( ( v1_xboole_0 @ ( sK8_B @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(322,plain,
! [SV24: $i] :
( ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( v10_lattices @ SV24 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( ! [SY88: $i] :
( ( v1_xboole_0 @ SY88 )
| ~ ( m1_subset_1 @ SY88 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
| ~ ( ~ ! [SY89: $i] :
( ~ ( m2_filter_2 @ SY89 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SY88 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY89 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SY88 @ SY89 )
| ( SY89
= ( k19_filter_2 @ SV24 @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( m2_filter_2 @ SY90 @ SV24 )
| ( SY90
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ! [SY91: $i] :
( ~ ( m2_filter_2 @ SY91 @ SV24 )
| ~ ( r1_tarski @ SY88 @ SY91 )
| ( r1_tarski @ SY90 @ SY91 ) ) )
| ~ ! [SY92: $i] :
( ~ ( m2_filter_2 @ SY92 @ SV24 )
| ( SY92
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ( r1_tarski @ SY88 @ SY92 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(323,plain,
! [SV43: $i] :
( ( ~ ( l3_lattices @ SV43 )
| ( l1_lattices @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(324,plain,
! [SV44: $i] :
( ( ~ ( l3_lattices @ SV44 )
| ( l2_lattices @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(325,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)],[294]) ).
thf(326,plain,
! [SV45: $i] :
( ( ~ ( l3_lattices @ SV45 )
| ( v3_struct_0 @ SV45 )
| ~ ( v10_lattices @ SV45 )
| ( v9_lattices @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(327,plain,
! [SV25: $i] :
( ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( ~ ( v10_lattices @ SV25 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(328,plain,
! [SV26: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK10_B @ SV26 ) @ ( k1_zfmisc_1 @ SV26 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(329,plain,
! [SV26: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK10_B @ SV26 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(330,plain,
! [SV1: $i,SV27: $i] :
( ( ( r2_hidden @ SV27 @ SV1 )
= $false )
| ( ( r2_hidden @ SV1 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(331,plain,
! [SV28: $i,SV3: $i] :
( ( ( ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 )
| ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) ) )
= $true )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(332,plain,
! [SV6: $i] :
( ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( m2_lattice4 @ SY75 @ SV6 )
| ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(333,plain,
! [SV8: $i] :
( ( ( v10_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( m2_filter_2 @ ( sK13_B @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(334,plain,
! [SV9: $i] :
( ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( m2_lattice4 @ ( sK12_B @ SV9 ) @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(335,plain,
! [SV10: $i] :
( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( l1_struct_0 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(336,plain,
! [SV36: $i,SV30: $i,SV14: $i] :
( ( ( ~ ( r1_tarski @ SV14 @ SV30 ) )
= $true )
| ( ( ~ ( r1_tarski @ SV30 @ SV36 ) )
= $true )
| ( ( r1_tarski @ SV14 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(337,plain,
! [SV31: $i,SV15: $i] :
( ( ( r2_hidden @ SV15 @ SV31 )
= $true )
| ( ( v1_xboole_0 @ SV31 )
= $true )
| ( ( m1_subset_1 @ SV15 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(338,plain,
! [SV16: $i,SV37: $i,SV32: $i] :
( ( ( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV37 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV16 @ SV32 ) )
= $true )
| ( ( m1_subset_1 @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(339,plain,
! [SV17: $i,SV38: $i,SV33: $i] :
( ( ( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV38 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV17 @ SV33 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(340,plain,
! [SV19: $i,SV34: $i] :
( ( ( v1_xboole_0 @ SV34 )
= $false )
| ( ( r2_hidden @ SV19 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(341,plain,
! [SV35: $i,SV20: $i] :
( ( ( v1_xboole_0 @ SV20 )
= $false )
| ( ( SV20 = SV35 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(342,plain,
! [SV46: $i,SV39: $i] :
( ( ~ ( m1_subset_1 @ SV39 @ ( k1_zfmisc_1 @ SV46 ) )
| ( r1_tarski @ SV39 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(343,plain,
! [SV47: $i,SV40: $i] :
( ( ~ ( r1_tarski @ SV40 @ SV47 )
| ( m1_subset_1 @ SV40 @ ( k1_zfmisc_1 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(344,plain,
! [SV21: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK5_B @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV21 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK5_B @ SV21 ) ) )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( l1_struct_0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(345,plain,
! [SV22: $i] :
( ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( ~ ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(346,plain,
( ( ~ ~ ( v1_xboole_0 @ sK2_SY67 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(347,plain,
( ( ~ ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(348,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(349,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(350,plain,
! [SV41: $i] :
( ( ( ~ ( l3_lattices @ SV41 ) )
= $true )
| ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 )
| ~ ( v6_lattices @ SV41 )
| ~ ( v7_lattices @ SV41 )
| ~ ( v8_lattices @ SV41 )
| ~ ( v9_lattices @ SV41 )
| ~ ( v3_struct_0 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(351,plain,
! [SV42: $i] :
( ( ( ~ ( l3_lattices @ SV42 ) )
= $true )
| ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 )
| ~ ( v6_lattices @ SV42 )
| ~ ( v7_lattices @ SV42 )
| ~ ( v8_lattices @ SV42 )
| ~ ( v9_lattices @ SV42 )
| ( v10_lattices @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(352,plain,
! [SV24: $i] :
( ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( ! [SY88: $i] :
( ( v1_xboole_0 @ SY88 )
| ~ ( m1_subset_1 @ SY88 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
| ~ ( ~ ! [SY89: $i] :
( ~ ( m2_filter_2 @ SY89 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SY88 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY89 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SY88 @ SY89 )
| ( SY89
= ( k19_filter_2 @ SV24 @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( m2_filter_2 @ SY90 @ SV24 )
| ( SY90
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ! [SY91: $i] :
( ~ ( m2_filter_2 @ SY91 @ SV24 )
| ~ ( r1_tarski @ SY88 @ SY91 )
| ( r1_tarski @ SY90 @ SY91 ) ) )
| ~ ! [SY92: $i] :
( ~ ( m2_filter_2 @ SY92 @ SV24 )
| ( SY92
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ( r1_tarski @ SY88 @ SY92 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(353,plain,
! [SV43: $i] :
( ( ( ~ ( l3_lattices @ SV43 ) )
= $true )
| ( ( l1_lattices @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(354,plain,
! [SV44: $i] :
( ( ( ~ ( l3_lattices @ SV44 ) )
= $true )
| ( ( l2_lattices @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(355,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)],[325]) ).
thf(356,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(357,plain,
! [SV45: $i] :
( ( ( ~ ( l3_lattices @ SV45 ) )
= $true )
| ( ( ( v3_struct_0 @ SV45 )
| ~ ( v10_lattices @ SV45 )
| ( v9_lattices @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(358,plain,
! [SV25: $i] :
( ( ( v10_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( ~ ( l3_lattices @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(359,plain,
! [SV26: $i] :
( ( ( m1_subset_1 @ ( sK10_B @ SV26 ) @ ( k1_zfmisc_1 @ SV26 ) )
= $true )
| ( ( v1_xboole_0 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(360,plain,
! [SV26: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK10_B @ SV26 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(361,plain,
! [SV28: $i,SV3: $i] :
( ( ( ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) ) )
= $true )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(362,plain,
! [SV6: $i] :
( ( ( l3_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( m2_lattice4 @ SY75 @ SV6 )
| ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(363,plain,
! [SV8: $i] :
( ( ( l3_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v10_lattices @ SV8 )
= $false )
| ( ( m2_filter_2 @ ( sK13_B @ SV8 ) @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(364,plain,
! [SV9: $i] :
( ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( m2_lattice4 @ ( sK12_B @ SV9 ) @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(365,plain,
! [SV36: $i,SV30: $i,SV14: $i] :
( ( ( r1_tarski @ SV14 @ SV30 )
= $false )
| ( ( ~ ( r1_tarski @ SV30 @ SV36 ) )
= $true )
| ( ( r1_tarski @ SV14 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(366,plain,
! [SV16: $i,SV37: $i,SV32: $i] :
( ( ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV37 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV16 @ SV32 ) )
= $true )
| ( ( m1_subset_1 @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(367,plain,
! [SV17: $i,SV38: $i,SV33: $i] :
( ( ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV38 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV17 @ SV33 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(368,plain,
! [SV20: $i,SV35: $i] :
( ( ( v1_xboole_0 @ SV35 )
= $false )
| ( ( SV20 = SV35 )
= $true )
| ( ( v1_xboole_0 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(369,plain,
! [SV46: $i,SV39: $i] :
( ( ( ~ ( m1_subset_1 @ SV39 @ ( k1_zfmisc_1 @ SV46 ) ) )
= $true )
| ( ( r1_tarski @ SV39 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(370,plain,
! [SV47: $i,SV40: $i] :
( ( ( ~ ( r1_tarski @ SV40 @ SV47 ) )
= $true )
| ( ( m1_subset_1 @ SV40 @ ( k1_zfmisc_1 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(371,plain,
! [SV21: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK5_B @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV21 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( l1_struct_0 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(372,plain,
! [SV21: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK5_B @ SV21 ) ) )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( l1_struct_0 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(373,plain,
! [SV22: $i] :
( ( ( l3_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( ~ ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(374,plain,
( ( ~ ( v1_xboole_0 @ sK2_SY67 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(375,plain,
( ( m1_subset_1 @ sK2_SY67 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(376,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(377,plain,
( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(378,plain,
! [SV41: $i] :
( ( ( l3_lattices @ SV41 )
= $false )
| ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 )
| ~ ( v6_lattices @ SV41 )
| ~ ( v7_lattices @ SV41 )
| ~ ( v8_lattices @ SV41 )
| ~ ( v9_lattices @ SV41 )
| ~ ( v3_struct_0 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(379,plain,
! [SV42: $i] :
( ( ( l3_lattices @ SV42 )
= $false )
| ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 )
| ~ ( v6_lattices @ SV42 )
| ~ ( v7_lattices @ SV42 )
| ~ ( v8_lattices @ SV42 )
| ~ ( v9_lattices @ SV42 )
| ( v10_lattices @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(380,plain,
! [SV24: $i] :
( ( ( l3_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( ! [SY88: $i] :
( ( v1_xboole_0 @ SY88 )
| ~ ( m1_subset_1 @ SY88 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
| ~ ( ~ ! [SY89: $i] :
( ~ ( m2_filter_2 @ SY89 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SY88 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY89 @ ( sK19_D @ SY89 @ SY88 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SY88 @ SY89 )
| ( SY89
= ( k19_filter_2 @ SV24 @ SY88 ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ~ ( m2_filter_2 @ SY90 @ SV24 )
| ( SY90
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ! [SY91: $i] :
( ~ ( m2_filter_2 @ SY91 @ SV24 )
| ~ ( r1_tarski @ SY88 @ SY91 )
| ( r1_tarski @ SY90 @ SY91 ) ) )
| ~ ! [SY92: $i] :
( ~ ( m2_filter_2 @ SY92 @ SV24 )
| ( SY92
!= ( k19_filter_2 @ SV24 @ SY88 ) )
| ( r1_tarski @ SY88 @ SY92 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(381,plain,
! [SV43: $i] :
( ( ( l3_lattices @ SV43 )
= $false )
| ( ( l1_lattices @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(382,plain,
! [SV44: $i] :
( ( ( l3_lattices @ SV44 )
= $false )
| ( ( l2_lattices @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(383,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)],[355]) ).
thf(384,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v8_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(385,plain,
! [SV45: $i] :
( ( ( l3_lattices @ SV45 )
= $false )
| ( ( ( v3_struct_0 @ SV45 )
| ~ ( v10_lattices @ SV45 )
| ( v9_lattices @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(386,plain,
! [SV25: $i] :
( ( ( l3_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( v10_lattices @ SV25 )
= $false )
| ( ( ~ ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(387,plain,
! [SV26: $i] :
( ( ( v1_xboole_0 @ ( sK10_B @ SV26 ) )
= $false )
| ( ( v1_xboole_0 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(388,plain,
! [SV28: $i,SV3: $i] :
( ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( ~ ( v10_lattices @ SV3 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) ) )
= $true )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(389,plain,
! [SV6: $i,SV48: $i] :
( ( ( ~ ( m2_lattice4 @ SV48 @ SV6 )
| ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( l3_lattices @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(390,plain,
! [SV14: $i,SV36: $i,SV30: $i] :
( ( ( r1_tarski @ SV30 @ SV36 )
= $false )
| ( ( r1_tarski @ SV14 @ SV30 )
= $false )
| ( ( r1_tarski @ SV14 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(391,plain,
! [SV37: $i,SV32: $i,SV16: $i] :
( ( ( r2_hidden @ SV16 @ SV32 )
= $false )
| ( ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV37 ) )
= $false )
| ( ( m1_subset_1 @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(392,plain,
! [SV38: $i,SV33: $i,SV17: $i] :
( ( ( r2_hidden @ SV17 @ SV33 )
= $false )
| ( ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV38 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(393,plain,
! [SV46: $i,SV39: $i] :
( ( ( m1_subset_1 @ SV39 @ ( k1_zfmisc_1 @ SV46 ) )
= $false )
| ( ( r1_tarski @ SV39 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(394,plain,
! [SV47: $i,SV40: $i] :
( ( ( r1_tarski @ SV40 @ SV47 )
= $false )
| ( ( m1_subset_1 @ SV40 @ ( k1_zfmisc_1 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(395,plain,
! [SV21: $i] :
( ( ( m1_subset_1 @ ( sK5_B @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV21 ) ) )
= $true )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( l1_struct_0 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(396,plain,
! [SV21: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK5_B @ SV21 ) ) )
= $true )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( l1_struct_0 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(397,plain,
! [SV22: $i] :
( ( ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) )
= $false )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(398,plain,
( ( v1_xboole_0 @ sK2_SY67 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(399,plain,
( ( ~ ~ ( v1_xboole_0 @ sK3_SY70 )
| ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(400,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
| ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(401,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 )
| ~ ( v6_lattices @ SV41 )
| ~ ( v7_lattices @ SV41 )
| ~ ( v8_lattices @ SV41 )
| ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(402,plain,
! [SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 )
| ~ ( v6_lattices @ SV42 )
| ~ ( v7_lattices @ SV42 )
| ~ ( v8_lattices @ SV42 )
| ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(403,plain,
! [SV24: $i,SV49: $i] :
( ( ( ( v1_xboole_0 @ SV49 )
| ~ ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
| ~ ( ~ ! [SY98: $i] :
( ~ ( m2_filter_2 @ SY98 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY98 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SY98 )
| ( SY98
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
| ~ ~ ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(404,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)],[383]) ).
thf(405,plain,
! [SV50: $i] :
( ( ~ ( l3_lattices @ SV50 )
| ( v3_struct_0 @ SV50 )
| ~ ( v10_lattices @ SV50 )
| ( v8_lattices @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(406,plain,
! [SV45: $i] :
( ( ( ( v3_struct_0 @ SV45 )
| ~ ( v10_lattices @ SV45 ) )
= $true )
| ( ( v9_lattices @ SV45 )
= $true )
| ( ( l3_lattices @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(407,plain,
! [SV25: $i] :
( ( ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) )
= $false )
| ( ( v10_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( l3_lattices @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(408,plain,
! [SV28: $i,SV3: $i] :
( ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) ) )
= $true )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(409,plain,
! [SV6: $i,SV48: $i] :
( ( ( ~ ( m2_lattice4 @ SV48 @ SV6 ) )
= $true )
| ( ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( l3_lattices @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(410,plain,
! [SV17: $i,SV33: $i,SV38: $i] :
( ( ( v1_xboole_0 @ SV38 )
= $false )
| ( ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV38 ) )
= $false )
| ( ( r2_hidden @ SV17 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(411,plain,
! [SV21: $i] :
( ( ( v1_xboole_0 @ ( sK5_B @ SV21 ) )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( l1_struct_0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(412,plain,
! [SV22: $i] :
( ( ( ~ ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) ) )
= $false )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(413,plain,
! [SV22: $i] :
( ( ( ~ ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) )
= $false )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(414,plain,
( ( ~ ~ ( v1_xboole_0 @ sK3_SY70 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(415,plain,
( ( ~ ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(416,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[400]) ).
thf(417,plain,
( ( ~ ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[400]) ).
thf(418,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 )
| ~ ( v6_lattices @ SV41 )
| ~ ( v7_lattices @ SV41 )
| ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(419,plain,
! [SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 )
| ~ ( v6_lattices @ SV42 )
| ~ ( v7_lattices @ SV42 )
| ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(420,plain,
! [SV24: $i,SV49: $i] :
( ( ( ( v1_xboole_0 @ SV49 )
| ~ ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY98: $i] :
( ~ ( m2_filter_2 @ SY98 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY98 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SY98 )
| ( SY98
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
| ~ ~ ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(421,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)],[404]) ).
thf(422,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(423,plain,
! [SV50: $i] :
( ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ( v3_struct_0 @ SV50 )
| ~ ( v10_lattices @ SV50 )
| ( v8_lattices @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(424,plain,
! [SV45: $i] :
( ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( ~ ( v10_lattices @ SV45 ) )
= $true )
| ( ( v9_lattices @ SV45 )
= $true )
| ( ( l3_lattices @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(425,plain,
! [SV25: $i] :
( ( ( ~ ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 ) )
= $false )
| ( ( v10_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( l3_lattices @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(426,plain,
! [SV25: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) )
= $false )
| ( ( v10_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( l3_lattices @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(427,plain,
! [SV28: $i,SV3: $i] :
( ( ( l3_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) ) )
= $true )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(428,plain,
! [SV6: $i,SV48: $i] :
( ( ( m2_lattice4 @ SV48 @ SV6 )
= $false )
| ( ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( l3_lattices @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(429,plain,
! [SV22: $i] :
( ( ( ! [SY86: $i] :
( ~ ( m2_filter_2 @ SY86 @ SV22 )
| ~ ( v1_xboole_0 @ SY86 ) ) )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(430,plain,
! [SV22: $i] :
( ( ( ! [SY87: $i] :
( ~ ( m2_filter_2 @ SY87 @ SV22 )
| ( m2_lattice4 @ SY87 @ SV22 ) ) )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(431,plain,
( ( ~ ( v1_xboole_0 @ sK3_SY70 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(432,plain,
( ( m1_subset_1 @ sK3_SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(433,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(434,plain,
( ( ~ ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(435,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 )
| ~ ( v6_lattices @ SV41 )
| ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(436,plain,
! [SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 )
| ~ ( v6_lattices @ SV42 )
| ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(437,plain,
! [SV24: $i,SV49: $i] :
( ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY98: $i] :
( ~ ( m2_filter_2 @ SY98 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY98 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SY98 )
| ( SY98
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
| ~ ~ ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(438,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)],[421]) ).
thf(439,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v7_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(440,plain,
! [SV50: $i] :
( ( ( l3_lattices @ SV50 )
= $false )
| ( ( ( v3_struct_0 @ SV50 )
| ~ ( v10_lattices @ SV50 )
| ( v8_lattices @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(441,plain,
! [SV45: $i] :
( ( ( v10_lattices @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v9_lattices @ SV45 )
= $true )
| ( ( l3_lattices @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(442,plain,
! [SV25: $i] :
( ( ( m2_lattice4 @ ( sK11_B @ SV25 ) @ SV25 )
= $true )
| ( ( v10_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( l3_lattices @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(443,plain,
! [SV25: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK11_B @ SV25 ) ) )
= $true )
| ( ( v10_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( l3_lattices @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(444,plain,
! [SV3: $i,SV28: $i] :
( ( ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV3 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( m2_filter_2 @ ( k19_filter_2 @ SV3 @ SV28 ) @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(445,plain,
! [SV22: $i,SV51: $i] :
( ( ( ~ ( m2_filter_2 @ SV51 @ SV22 )
| ~ ( v1_xboole_0 @ SV51 ) )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(446,plain,
! [SV22: $i,SV52: $i] :
( ( ( ~ ( m2_filter_2 @ SV52 @ SV22 )
| ( m2_lattice4 @ SV52 @ SV22 ) )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(447,plain,
( ( v1_xboole_0 @ sK3_SY70 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(448,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SY72 )
| ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(449,plain,
( ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
| ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(450,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 )
| ~ ( v6_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(451,plain,
! [SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 )
| ~ ( v6_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(452,plain,
! [SV24: $i,SV49: $i] :
( ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( ~ ( ~ ! [SY98: $i] :
( ~ ( m2_filter_2 @ SY98 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY98 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SY98 )
| ( SY98
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
| ~ ~ ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(453,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)],[438]) ).
thf(454,plain,
! [SV53: $i] :
( ( ~ ( l3_lattices @ SV53 )
| ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 )
| ( v7_lattices @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(455,plain,
! [SV50: $i] :
( ( ( ( v3_struct_0 @ SV50 )
| ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( v8_lattices @ SV50 )
= $true )
| ( ( l3_lattices @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(456,plain,
! [SV25: $i] :
( ( ( v1_xboole_0 @ ( sK11_B @ SV25 ) )
= $false )
| ( ( v10_lattices @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( l3_lattices @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(457,plain,
! [SV22: $i,SV51: $i] :
( ( ( ~ ( m2_filter_2 @ SV51 @ SV22 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV51 ) )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(458,plain,
! [SV22: $i,SV52: $i] :
( ( ( ~ ( m2_filter_2 @ SV52 @ SV22 ) )
= $true )
| ( ( m2_lattice4 @ SV52 @ SV22 )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(459,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SY72 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(460,plain,
( ( ~ ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(461,plain,
( ( ~ ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(462,plain,
( ( ~ ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(463,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 )
| ~ ( v5_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(464,plain,
! [SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 )
| ~ ( v5_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(465,plain,
! [SV49: $i,SV24: $i] :
( ( ( ~ ! [SY98: $i] :
( ~ ( m2_filter_2 @ SY98 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY98 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SY98 )
| ( SY98
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
| ~ ~ ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(466,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)],[453]) ).
thf(467,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(468,plain,
! [SV53: $i] :
( ( ( ~ ( l3_lattices @ SV53 ) )
= $true )
| ( ( ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 )
| ( v7_lattices @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(469,plain,
! [SV50: $i] :
( ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( v8_lattices @ SV50 )
= $true )
| ( ( l3_lattices @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(470,plain,
! [SV22: $i,SV51: $i] :
( ( ( m2_filter_2 @ SV51 @ SV22 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV51 ) )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(471,plain,
! [SV22: $i,SV52: $i] :
( ( ( m2_filter_2 @ SV52 @ SV22 )
= $false )
| ( ( m2_lattice4 @ SV52 @ SV22 )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(472,plain,
( ( ~ ( v1_xboole_0 @ sK4_SY72 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(473,plain,
( ( m1_subset_1 @ sK4_SY72 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(474,plain,
( ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(475,plain,
( ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
| ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(476,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v4_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(477,plain,
! [SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v4_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(478,plain,
! [SV49: $i,SV24: $i] :
( ( ( ~ ! [SY98: $i] :
( ~ ( m2_filter_2 @ SY98 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY98 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SY98 )
| ( SY98
= ( k19_filter_2 @ SV24 @ SV49 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(479,plain,
! [SV49: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(480,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)],[466]) ).
thf(481,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v6_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(482,plain,
! [SV53: $i] :
( ( ( l3_lattices @ SV53 )
= $false )
| ( ( ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 )
| ( v7_lattices @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(483,plain,
! [SV50: $i] :
( ( ( v10_lattices @ SV50 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( v8_lattices @ SV50 )
= $true )
| ( ( l3_lattices @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(484,plain,
! [SV22: $i,SV51: $i] :
( ( ( v1_xboole_0 @ SV51 )
= $false )
| ( ( m2_filter_2 @ SV51 @ SV22 )
= $false )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(485,plain,
( ( v1_xboole_0 @ sK4_SY72 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(486,plain,
( ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
= $true )
| ( ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(487,plain,
( ( ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) ) )
= $true )
| ( ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(488,plain,
! [SV41: $i] :
( ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( ~ ( v4_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(489,plain,
! [SV42: $i] :
( ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( ~ ( v4_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v5_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(490,plain,
! [SV49: $i,SV24: $i] :
( ( ( ! [SY98: $i] :
( ~ ( m2_filter_2 @ SY98 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SY98 @ ( sK19_D @ SY98 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SY98 )
| ( SY98
= ( k19_filter_2 @ SV24 @ SV49 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(491,plain,
! [SV49: $i,SV24: $i] :
( ( ( ~ ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(492,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)],[480]) ).
thf(493,plain,
! [SV54: $i] :
( ( ~ ( l3_lattices @ SV54 )
| ( v3_struct_0 @ SV54 )
| ~ ( v10_lattices @ SV54 )
| ( v6_lattices @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(494,plain,
! [SV53: $i] :
( ( ( ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ SV53 )
= $true )
| ( ( l3_lattices @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(495,plain,
( ( ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) )
= $false )
| ( ( r1_tarski @ sK3_SY70 @ sK4_SY72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(496,plain,
( ( ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
= $false )
| ( ( ~ ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(497,plain,
! [SV41: $i] :
( ( ( v4_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( ~ ( v5_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(498,plain,
! [SV42: $i] :
( ( ( v4_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( ~ ( v5_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v6_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(499,plain,
! [SV49: $i,SV24: $i,SV55: $i] :
( ( ( ~ ( m2_filter_2 @ SV55 @ SV24 )
| ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SV55 )
| ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(500,plain,
! [SV49: $i,SV24: $i] :
( ( ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) )
| ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(501,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)],[492]) ).
thf(502,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(503,plain,
! [SV54: $i] :
( ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ( v3_struct_0 @ SV54 )
| ~ ( v10_lattices @ SV54 )
| ( v6_lattices @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(504,plain,
! [SV53: $i] :
( ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( ~ ( v10_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ SV53 )
= $true )
| ( ( l3_lattices @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(505,plain,
( ( ( r1_tarski @ ( k19_filter_2 @ sK1_A @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) ) @ ( k19_filter_2 @ sK1_A @ sK2_SY67 ) )
= $false )
| ( ( r1_tarski @ ( k19_filter_2 @ sK1_A @ sK3_SY70 ) @ ( k19_filter_2 @ sK1_A @ sK4_SY72 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(506,plain,
! [SV41: $i] :
( ( ( v5_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v4_lattices @ SV41 )
= $false )
| ( ( ~ ( v6_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(507,plain,
! [SV42: $i] :
( ( ( v5_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v4_lattices @ SV42 )
= $false )
| ( ( ~ ( v6_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(508,plain,
! [SV49: $i,SV24: $i,SV55: $i] :
( ( ( ~ ( m2_filter_2 @ SV55 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SV55 )
| ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(509,plain,
! [SV49: $i,SV24: $i] :
( ( ( ~ ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(510,plain,
! [SV49: $i,SV24: $i] :
( ( ( ~ ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(511,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)],[501]) ).
thf(512,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v5_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(513,plain,
! [SV54: $i] :
( ( ( l3_lattices @ SV54 )
= $false )
| ( ( ( v3_struct_0 @ SV54 )
| ~ ( v10_lattices @ SV54 )
| ( v6_lattices @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(514,plain,
! [SV53: $i] :
( ( ( v10_lattices @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v7_lattices @ SV53 )
= $true )
| ( ( l3_lattices @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(515,plain,
! [SV41: $i] :
( ( ( v6_lattices @ SV41 )
= $false )
| ( ( v4_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v5_lattices @ SV41 )
= $false )
| ( ( ~ ( v7_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(516,plain,
! [SV42: $i] :
( ( ( v6_lattices @ SV42 )
= $false )
| ( ( v4_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v5_lattices @ SV42 )
= $false )
| ( ( ~ ( v7_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(517,plain,
! [SV49: $i,SV24: $i,SV55: $i] :
( ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SV55 )
| ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(518,plain,
! [SV49: $i,SV24: $i] :
( ( ( ! [SY99: $i] :
( ~ ( m2_filter_2 @ SY99 @ SV24 )
| ( SY99
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY100: $i] :
( ~ ( m2_filter_2 @ SY100 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY100 )
| ( r1_tarski @ SY99 @ SY100 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(519,plain,
! [SV49: $i,SV24: $i] :
( ( ( ! [SY101: $i] :
( ~ ( m2_filter_2 @ SY101 @ SV24 )
| ( SY101
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SY101 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(520,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)],[511]) ).
thf(521,plain,
! [SV56: $i] :
( ( ~ ( l3_lattices @ SV56 )
| ( v3_struct_0 @ SV56 )
| ~ ( v10_lattices @ SV56 )
| ( v5_lattices @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(522,plain,
! [SV54: $i] :
( ( ( ( v3_struct_0 @ SV54 )
| ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( v6_lattices @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(523,plain,
! [SV41: $i] :
( ( ( v7_lattices @ SV41 )
= $false )
| ( ( v5_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v4_lattices @ SV41 )
= $false )
| ( ( v6_lattices @ SV41 )
= $false )
| ( ( ~ ( v8_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(524,plain,
! [SV42: $i] :
( ( ( v7_lattices @ SV42 )
= $false )
| ( ( v5_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v4_lattices @ SV42 )
= $false )
| ( ( v6_lattices @ SV42 )
= $false )
| ( ( ~ ( v8_lattices @ SV42 ) )
= $true )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(525,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) )
| ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(526,plain,
! [SV49: $i,SV24: $i,SV57: $i] :
( ( ( ~ ( m2_filter_2 @ SV57 @ SV24 )
| ( SV57
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY102: $i] :
( ~ ( m2_filter_2 @ SY102 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY102 )
| ( r1_tarski @ SV57 @ SY102 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(527,plain,
! [SV49: $i,SV24: $i,SV58: $i] :
( ( ( ~ ( m2_filter_2 @ SV58 @ SV24 )
| ( SV58
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SV58 ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(528,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(529,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(530,plain,
! [SV56: $i] :
( ( ( ~ ( l3_lattices @ SV56 ) )
= $true )
| ( ( ( v3_struct_0 @ SV56 )
| ~ ( v10_lattices @ SV56 )
| ( v5_lattices @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(531,plain,
! [SV54: $i] :
( ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( v6_lattices @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(532,plain,
! [SV41: $i] :
( ( ( v8_lattices @ SV41 )
= $false )
| ( ( v6_lattices @ SV41 )
= $false )
| ( ( v4_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v5_lattices @ SV41 )
= $false )
| ( ( v7_lattices @ SV41 )
= $false )
| ( ( ~ ( v9_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(533,plain,
! [SV42: $i] :
( ( ( v8_lattices @ SV42 )
= $false )
| ( ( v6_lattices @ SV42 )
= $false )
| ( ( v4_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v5_lattices @ SV42 )
= $false )
| ( ( v7_lattices @ SV42 )
= $false )
| ( ( ~ ( v9_lattices @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(534,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( ~ ( ~ ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) ) )
= $true )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(535,plain,
! [SV49: $i,SV24: $i,SV57: $i] :
( ( ( ~ ( m2_filter_2 @ SV57 @ SV24 ) )
= $true )
| ( ( ( SV57
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY102: $i] :
( ~ ( m2_filter_2 @ SY102 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY102 )
| ( r1_tarski @ SV57 @ SY102 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(536,plain,
! [SV49: $i,SV24: $i,SV58: $i] :
( ( ( ~ ( m2_filter_2 @ SV58 @ SV24 ) )
= $true )
| ( ( ( SV58
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SV58 ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(537,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(538,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ( v4_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(539,plain,
! [SV56: $i] :
( ( ( l3_lattices @ SV56 )
= $false )
| ( ( ( v3_struct_0 @ SV56 )
| ~ ( v10_lattices @ SV56 )
| ( v5_lattices @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(540,plain,
! [SV54: $i] :
( ( ( v10_lattices @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v6_lattices @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(541,plain,
! [SV41: $i] :
( ( ( v9_lattices @ SV41 )
= $false )
| ( ( v7_lattices @ SV41 )
= $false )
| ( ( v5_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v4_lattices @ SV41 )
= $false )
| ( ( v6_lattices @ SV41 )
= $false )
| ( ( v8_lattices @ SV41 )
= $false )
| ( ( ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(542,plain,
! [SV42: $i] :
( ( ( v9_lattices @ SV42 )
= $false )
| ( ( v7_lattices @ SV42 )
= $false )
| ( ( v5_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v4_lattices @ SV42 )
= $false )
| ( ( v6_lattices @ SV42 )
= $false )
| ( ( v8_lattices @ SV42 )
= $false )
| ( ( v10_lattices @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(543,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( ~ ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
| ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(544,plain,
! [SV49: $i,SV24: $i,SV57: $i] :
( ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( ( SV57
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ! [SY102: $i] :
( ~ ( m2_filter_2 @ SY102 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY102 )
| ( r1_tarski @ SV57 @ SY102 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(545,plain,
! [SV49: $i,SV24: $i,SV58: $i] :
( ( ( m2_filter_2 @ SV58 @ SV24 )
= $false )
| ( ( ( SV58
!= ( k19_filter_2 @ SV24 @ SV49 ) )
| ( r1_tarski @ SV49 @ SV58 ) )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(546,plain,
! [SV59: $i] :
( ( ~ ( l3_lattices @ SV59 )
| ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 )
| ~ ( v3_struct_0 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(547,plain,
! [SV60: $i] :
( ( ~ ( l3_lattices @ SV60 )
| ( v3_struct_0 @ SV60 )
| ~ ( v10_lattices @ SV60 )
| ( v4_lattices @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(548,plain,
! [SV56: $i] :
( ( ( ( v3_struct_0 @ SV56 )
| ~ ( v10_lattices @ SV56 ) )
= $true )
| ( ( v5_lattices @ SV56 )
= $true )
| ( ( l3_lattices @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(549,plain,
! [SV41: $i] :
( ( ( v3_struct_0 @ SV41 )
= $false )
| ( ( v8_lattices @ SV41 )
= $false )
| ( ( v6_lattices @ SV41 )
= $false )
| ( ( v4_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v5_lattices @ SV41 )
= $false )
| ( ( v7_lattices @ SV41 )
= $false )
| ( ( v9_lattices @ SV41 )
= $false )
| ( ( l3_lattices @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(550,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( ~ ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 ) )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(551,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(552,plain,
! [SV49: $i,SV24: $i,SV57: $i] :
( ( ( ( SV57
!= ( k19_filter_2 @ SV24 @ SV49 ) ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( m2_filter_2 @ SY102 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY102 )
| ( r1_tarski @ SV57 @ SY102 ) ) )
= $true )
| ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(553,plain,
! [SV49: $i,SV24: $i,SV58: $i] :
( ( ( ( SV58
!= ( k19_filter_2 @ SV24 @ SV49 ) ) )
= $true )
| ( ( r1_tarski @ SV49 @ SV58 )
= $true )
| ( ( m2_filter_2 @ SV58 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(554,plain,
! [SV59: $i] :
( ( ( ~ ( l3_lattices @ SV59 ) )
= $true )
| ( ( ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 )
| ~ ( v3_struct_0 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(555,plain,
! [SV60: $i] :
( ( ( ~ ( l3_lattices @ SV60 ) )
= $true )
| ( ( ( v3_struct_0 @ SV60 )
| ~ ( v10_lattices @ SV60 )
| ( v4_lattices @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(556,plain,
! [SV56: $i] :
( ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( ~ ( v10_lattices @ SV56 ) )
= $true )
| ( ( v5_lattices @ SV56 )
= $true )
| ( ( l3_lattices @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(557,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
= $true )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(558,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( ~ ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(559,plain,
! [SV49: $i,SV24: $i,SV57: $i] :
( ( ( SV57
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( m2_filter_2 @ SY102 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SY102 )
| ( r1_tarski @ SV57 @ SY102 ) ) )
= $true )
| ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(560,plain,
! [SV49: $i,SV24: $i,SV58: $i] :
( ( ( SV58
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $false )
| ( ( r1_tarski @ SV49 @ SV58 )
= $true )
| ( ( m2_filter_2 @ SV58 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(561,plain,
! [SV59: $i] :
( ( ( l3_lattices @ SV59 )
= $false )
| ( ( ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 )
| ~ ( v3_struct_0 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(562,plain,
! [SV60: $i] :
( ( ( l3_lattices @ SV60 )
= $false )
| ( ( ( v3_struct_0 @ SV60 )
| ~ ( v10_lattices @ SV60 )
| ( v4_lattices @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(563,plain,
! [SV56: $i] :
( ( ( v10_lattices @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v5_lattices @ SV56 )
= $true )
| ( ( l3_lattices @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(564,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( r1_tarski @ SV49 @ SV55 )
= $false )
| ( ( m2_filter_2 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) @ SV24 )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(565,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
| ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(566,plain,
! [SV57: $i,SV49: $i,SV24: $i,SV61: $i] :
( ( ( ~ ( m2_filter_2 @ SV61 @ SV24 )
| ~ ( r1_tarski @ SV49 @ SV61 )
| ( r1_tarski @ SV57 @ SV61 ) )
= $true )
| ( ( SV57
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $false )
| ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(567,plain,
! [SV59: $i] :
( ( ( ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV59 ) )
= $true )
| ( ( l3_lattices @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(568,plain,
! [SV60: $i] :
( ( ( ( v3_struct_0 @ SV60 )
| ~ ( v10_lattices @ SV60 ) )
= $true )
| ( ( v4_lattices @ SV60 )
= $true )
| ( ( l3_lattices @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(569,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( ~ ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(570,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( ~ ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(571,plain,
! [SV57: $i,SV49: $i,SV24: $i,SV61: $i] :
( ( ( ~ ( m2_filter_2 @ SV61 @ SV24 ) )
= $true )
| ( ( ~ ( r1_tarski @ SV49 @ SV61 )
| ( r1_tarski @ SV57 @ SV61 ) )
= $true )
| ( ( SV57
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $false )
| ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(572,plain,
! [SV59: $i] :
( ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( ~ ( v10_lattices @ SV59 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV59 ) )
= $true )
| ( ( l3_lattices @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(573,plain,
! [SV60: $i] :
( ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( ~ ( v10_lattices @ SV60 ) )
= $true )
| ( ( v4_lattices @ SV60 )
= $true )
| ( ( l3_lattices @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(574,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
= $true )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(575,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( ~ ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) ) )
= $true )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(576,plain,
! [SV57: $i,SV49: $i,SV24: $i,SV61: $i] :
( ( ( m2_filter_2 @ SV61 @ SV24 )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV61 )
| ( r1_tarski @ SV57 @ SV61 ) )
= $true )
| ( ( SV57
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $false )
| ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(577,plain,
! [SV59: $i] :
( ( ( v10_lattices @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( ~ ( v3_struct_0 @ SV59 ) )
= $true )
| ( ( l3_lattices @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(578,plain,
! [SV60: $i] :
( ( ( v10_lattices @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v4_lattices @ SV60 )
= $true )
| ( ( l3_lattices @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(579,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( r1_tarski @ SV49 @ SV55 )
= $false )
| ( ( r1_tarski @ SV49 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(580,plain,
! [SV24: $i,SV49: $i,SV55: $i] :
( ( ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
= $false )
| ( ( ~ ( r1_tarski @ SV49 @ SV55 ) )
= $true )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(581,plain,
! [SV24: $i,SV57: $i,SV61: $i,SV49: $i] :
( ( ( ~ ( r1_tarski @ SV49 @ SV61 ) )
= $true )
| ( ( r1_tarski @ SV57 @ SV61 )
= $true )
| ( ( m2_filter_2 @ SV61 @ SV24 )
= $false )
| ( ( SV57
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $false )
| ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(582,plain,
! [SV59: $i] :
( ( ( v3_struct_0 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v10_lattices @ SV59 )
= $false )
| ( ( l3_lattices @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(583,plain,
! [SV24: $i,SV55: $i,SV49: $i] :
( ( ( r1_tarski @ SV49 @ SV55 )
= $false )
| ( ( r1_tarski @ SV55 @ ( sK19_D @ SV55 @ SV49 @ SV24 ) )
= $false )
| ( ( SV55
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $true )
| ( ( m2_filter_2 @ SV55 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(584,plain,
! [SV24: $i,SV57: $i,SV61: $i,SV49: $i] :
( ( ( r1_tarski @ SV49 @ SV61 )
= $false )
| ( ( r1_tarski @ SV57 @ SV61 )
= $true )
| ( ( m2_filter_2 @ SV61 @ SV24 )
= $false )
| ( ( SV57
= ( k19_filter_2 @ SV24 @ SV49 ) )
= $false )
| ( ( m2_filter_2 @ SV57 @ SV24 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV24 ) ) )
= $false )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( l3_lattices @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(585,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[139,584,583,582,579,578,564,563,560,549,542,540,514,505,495,485,484,483,473,471,456,447,444,442,441,432,428,411,410,398,395,394,393,391,390,387,382,381,375,368,364,363,359,340,337,335,330,321,320,315,304,283,276,266,265,263,235,213,204,203,198,177,176,161,158,152,151,150,149,148,145,142,140]) ).
thf(586,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 02:41:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 43
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 0
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.38 .
% 0.13/0.40 (rf:0,axioms:43,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:45,loop_count:0,foatp_calls:0,translation:fof_full)..............................
% 57.87/58.12
% 57.87/58.12 ********************************
% 57.87/58.12 * All subproblems solved! *
% 57.87/58.12 ********************************
% 57.87/58.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:46,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:585,loop_count:0,foatp_calls:1,translation:fof_full)
% 58.02/58.31
% 58.02/58.31 %**** Beginning of derivation protocol ****
% 58.02/58.31 % SZS output start CNFRefutation
% See solution above
% 58.02/58.31
% 58.02/58.31 %**** End of derivation protocol ****
% 58.02/58.31 %**** no. of clauses in derivation: 586 ****
% 58.02/58.31 %**** clause counter: 585 ****
% 58.02/58.31
% 58.02/58.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:46,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:585,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------