TSTP Solution File: LAT346+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:46:54 EDT 2022
% Result : Theorem 228.26s 228.46s
% Output : CNFRefutation 228.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 87
% Syntax : Number of formulae : 906 ( 469 unt; 60 typ; 0 def)
% Number of atoms : 9614 (1742 equ; 0 cnn)
% Maximal formula atoms : 15 ( 11 avg)
% Number of connectives : 18914 (4957 ~;4954 |; 306 &;8639 @)
% ( 2 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 81 ( 81 >; 0 *; 0 +; 0 <<)
% Number of symbols : 63 ( 60 usr; 7 con; 0-3 aty)
% Number of variables : 1767 ( 0 ^1755 !; 12 ?;1767 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g2_conlat_1,type,
g2_conlat_1: $i > $i > $i > $i ).
thf(tp_g3_lattices,type,
g3_lattices: $i > $i > $i > $i ).
thf(tp_k10_conlat_2,type,
k10_conlat_2: $i > $i ).
thf(tp_k11_conlat_1,type,
k11_conlat_1: $i > $i ).
thf(tp_k1_lattice2,type,
k1_lattice2: $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k4_relat_1,type,
k4_relat_1: $i > $i ).
thf(tp_k6_relset_1,type,
k6_relset_1: $i > $i > $i > $i ).
thf(tp_k7_conlat_2,type,
k7_conlat_2: $i > $i ).
thf(tp_l1_conlat_1,type,
l1_conlat_1: $i > $o ).
thf(tp_l1_lattices,type,
l1_lattices: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_l2_conlat_1,type,
l2_conlat_1: $i > $o ).
thf(tp_l2_lattices,type,
l2_lattices: $i > $o ).
thf(tp_l3_lattices,type,
l3_lattices: $i > $o ).
thf(tp_m1_lattice4,type,
m1_lattice4: $i > $i > $i > $o ).
thf(tp_m1_relset_1,type,
m1_relset_1: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_r1_filter_1,type,
r1_filter_1: $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_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_B,type,
sK2_B: $i > $i ).
thf(tp_sK3_B,type,
sK3_B: $i > $i ).
thf(tp_sK4_A,type,
sK4_A: $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_C,type,
sK7_C: $i > $i > $i ).
thf(tp_u1_conlat_1,type,
u1_conlat_1: $i > $i ).
thf(tp_u1_lattices,type,
u1_lattices: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_u2_conlat_1,type,
u2_conlat_1: $i > $i ).
thf(tp_u2_lattices,type,
u2_lattices: $i > $i ).
thf(tp_u3_conlat_1,type,
u3_conlat_1: $i > $i ).
thf(tp_v10_lattices,type,
v10_lattices: $i > $o ).
thf(tp_v13_lattices,type,
v13_lattices: $i > $o ).
thf(tp_v14_lattices,type,
v14_lattices: $i > $o ).
thf(tp_v15_lattices,type,
v15_lattices: $i > $o ).
thf(tp_v1_binop_1,type,
v1_binop_1: $i > $i > $o ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_funct_2,type,
v1_funct_2: $i > $i > $i > $o ).
thf(tp_v1_partfun1,type,
v1_partfun1: $i > $i > $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v2_binop_1,type,
v2_binop_1: $i > $i > $o ).
thf(tp_v3_conlat_1,type,
v3_conlat_1: $i > $o ).
thf(tp_v3_lattice4,type,
v3_lattice4: $i > $i > $i > $o ).
thf(tp_v3_lattices,type,
v3_lattices: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v4_conlat_1,type,
v4_conlat_1: $i > $o ).
thf(tp_v4_lattice3,type,
v4_lattice3: $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(8,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( v3_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_conlat_2) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ( ( r1_filter_1 @ A @ B )
=> ( r1_filter_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ( r1_filter_1 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_filter_1) ).
thf(16,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_conlat_1) ).
thf(17,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_conlat_1) ).
thf(18,axiom,
? [A: $i] :
( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_conlat_1) ).
thf(21,axiom,
? [A: $i] :
( ( l2_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_conlat_1) ).
thf(35,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
thf(37,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattices @ ( k11_conlat_1 @ A ) )
& ( v5_lattices @ ( k11_conlat_1 @ A ) )
& ( v6_lattices @ ( k11_conlat_1 @ A ) )
& ( v7_lattices @ ( k11_conlat_1 @ A ) )
& ( v8_lattices @ ( k11_conlat_1 @ A ) )
& ( v9_lattices @ ( k11_conlat_1 @ A ) )
& ( v10_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_conlat_1) ).
thf(40,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattices @ ( k11_conlat_1 @ A ) )
& ( v5_lattices @ ( k11_conlat_1 @ A ) )
& ( v6_lattices @ ( k11_conlat_1 @ A ) )
& ( v7_lattices @ ( k11_conlat_1 @ A ) )
& ( v8_lattices @ ( k11_conlat_1 @ A ) )
& ( v9_lattices @ ( k11_conlat_1 @ A ) )
& ( v10_lattices @ ( k11_conlat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_conlat_1) ).
thf(44,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v4_lattice3 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattice3 @ ( k1_lattice2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_2) ).
thf(45,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_conlat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_1) ).
thf(49,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
thf(50,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattices @ ( k11_conlat_1 @ A ) )
& ( v5_lattices @ ( k11_conlat_1 @ A ) )
& ( v6_lattices @ ( k11_conlat_1 @ A ) )
& ( v7_lattices @ ( k11_conlat_1 @ A ) )
& ( v8_lattices @ ( k11_conlat_1 @ A ) )
& ( v9_lattices @ ( k11_conlat_1 @ A ) )
& ( v10_lattices @ ( k11_conlat_1 @ A ) )
& ( v13_lattices @ ( k11_conlat_1 @ A ) )
& ( v14_lattices @ ( k11_conlat_1 @ A ) )
& ( v15_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_2) ).
thf(51,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u2_conlat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_1) ).
thf(58,axiom,
? [A: $i] : ( l2_conlat_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_conlat_1) ).
thf(62,axiom,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( m2_relset_1 @ ( u3_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
thf(74,axiom,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( l1_conlat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
thf(78,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( v4_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( l2_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
thf(84,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
thf(85,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( l3_lattices @ ( k11_conlat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
thf(86,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( m1_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_2) ).
thf(88,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( v4_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) )
& ( l2_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g2_conlat_1) ).
thf(89,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( k7_conlat_2 @ A )
= ( g2_conlat_1 @ ( u2_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( k6_relset_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_conlat_2) ).
thf(90,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ( ( r1_filter_1 @ A @ B )
<=> ? [C: $i] :
( ( m1_lattice4 @ C @ A @ B )
& ( v3_lattice4 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lattice4) ).
thf(100,axiom,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( ( v4_conlat_1 @ A )
=> ( A
= ( g2_conlat_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
thf(102,conjecture,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_conlat_2) ).
thf(103,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[102]) ).
thf(104,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[103]) ).
thf(105,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( v3_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(106,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ( ( r1_filter_1 @ A @ B )
=> ( r1_filter_1 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(107,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ( r1_filter_1 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(108,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(109,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(110,plain,
( ( ? [A: $i] :
( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(111,plain,
( ( ? [A: $i] :
( ( l2_conlat_1 @ A )
& ( v4_conlat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(112,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(113,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattices @ ( k11_conlat_1 @ A ) )
& ( v5_lattices @ ( k11_conlat_1 @ A ) )
& ( v6_lattices @ ( k11_conlat_1 @ A ) )
& ( v7_lattices @ ( k11_conlat_1 @ A ) )
& ( v8_lattices @ ( k11_conlat_1 @ A ) )
& ( v9_lattices @ ( k11_conlat_1 @ A ) )
& ( v10_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(114,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattices @ ( k11_conlat_1 @ A ) )
& ( v5_lattices @ ( k11_conlat_1 @ A ) )
& ( v6_lattices @ ( k11_conlat_1 @ A ) )
& ( v7_lattices @ ( k11_conlat_1 @ A ) )
& ( v8_lattices @ ( k11_conlat_1 @ A ) )
& ( v9_lattices @ ( k11_conlat_1 @ A ) )
& ( v10_lattices @ ( k11_conlat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(115,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v4_lattice3 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattice3 @ ( k1_lattice2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(116,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_conlat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(117,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(118,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattices @ ( k11_conlat_1 @ A ) )
& ( v5_lattices @ ( k11_conlat_1 @ A ) )
& ( v6_lattices @ ( k11_conlat_1 @ A ) )
& ( v7_lattices @ ( k11_conlat_1 @ A ) )
& ( v8_lattices @ ( k11_conlat_1 @ A ) )
& ( v9_lattices @ ( k11_conlat_1 @ A ) )
& ( v10_lattices @ ( k11_conlat_1 @ A ) )
& ( v13_lattices @ ( k11_conlat_1 @ A ) )
& ( v14_lattices @ ( k11_conlat_1 @ A ) )
& ( v15_lattices @ ( k11_conlat_1 @ A ) )
& ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(119,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u2_conlat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(120,plain,
( ( ? [A: $i] : ( l2_conlat_1 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(121,plain,
( ( ! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( m2_relset_1 @ ( u3_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(122,plain,
( ( ! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( l1_conlat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(123,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( v4_conlat_1 @ ( k7_conlat_2 @ A ) )
& ( l2_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(124,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(125,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ( l3_lattices @ ( k11_conlat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(126,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( m1_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( v4_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) )
& ( l2_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(128,plain,
( ( ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( k7_conlat_2 @ A )
= ( g2_conlat_1 @ ( u2_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( k6_relset_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(129,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ( ( r1_filter_1 @ A @ B )
<=> ? [C: $i] :
( ( m1_lattice4 @ C @ A @ B )
& ( v3_lattice4 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(130,plain,
( ( ! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( ( v4_conlat_1 @ A )
=> ( A
= ( g2_conlat_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(131,plain,
( ( ( ~ ( v3_conlat_1 @ sK1_A )
& ( l2_conlat_1 @ sK1_A ) )
=> ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sK1_A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[104]) ).
thf(132,plain,
( ( ~ ( v3_conlat_1 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[131]) ).
thf(133,plain,
( ( l2_conlat_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[131]) ).
thf(134,plain,
( ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sK1_A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ sK1_A ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[131]) ).
thf(135,plain,
( ( ~ ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sK1_A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ sK1_A ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[134]) ).
thf(136,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(137,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B )
| ~ ( r1_filter_1 @ A @ B )
| ( r1_filter_1 @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(138,plain,
( ( ! [A: $i] :
( ! [B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B ) )
| ( r1_filter_1 @ A @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(139,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ( ( m1_subset_1 @ ( sK2_B @ A ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK2_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[108]) ).
thf(140,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ( ( m1_subset_1 @ ( sK3_B @ A ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK3_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[109]) ).
thf(141,plain,
( ( ( l2_conlat_1 @ sK4_A )
& ~ ( v3_conlat_1 @ sK4_A )
& ( v4_conlat_1 @ sK4_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[110]) ).
thf(142,plain,
( ( ( l2_conlat_1 @ sK5_A )
& ( v4_conlat_1 @ sK5_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(143,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v4_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v5_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v6_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v7_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v8_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v9_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v10_lattices @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(144,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v5_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v6_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v7_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v8_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v9_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v10_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(145,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v5_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v6_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v7_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v8_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v9_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v10_lattices @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(146,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v4_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v5_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v6_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v7_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v8_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v9_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v10_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v4_lattice3 @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[115]) ).
thf(147,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ~ ( v1_xboole_0 @ ( u1_conlat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(148,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(149,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v5_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v6_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v7_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v8_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v9_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v10_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v13_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v14_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v15_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(150,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ~ ( v1_xboole_0 @ ( u2_conlat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(151,plain,
( ( l2_conlat_1 @ sK6_A )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(152,plain,
( ( ! [A: $i] :
( ~ ( l2_conlat_1 @ A )
| ( m2_relset_1 @ ( u3_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(153,plain,
( ( ! [A: $i] :
( ~ ( l2_conlat_1 @ A )
| ( l1_conlat_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(154,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_conlat_1 @ ( k7_conlat_2 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( l2_conlat_1 @ ( k7_conlat_2 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(155,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l3_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(156,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( l3_lattices @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(157,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( m1_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(158,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( l2_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) )
& ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( v4_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(159,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( ( k7_conlat_2 @ A )
= ( g2_conlat_1 @ ( u2_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( k6_relset_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(160,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ! [B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B )
| ! [C: $i] :
( ~ ( m1_lattice4 @ C @ A @ B )
| ~ ( v3_lattice4 @ C @ A @ B ) )
| ( r1_filter_1 @ A @ B ) )
& ! [B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B )
| ~ ( r1_filter_1 @ A @ B )
| ( ( m1_lattice4 @ ( sK7_C @ B @ A ) @ A @ B )
& ( v3_lattice4 @ ( sK7_C @ B @ A ) @ A @ B ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(161,plain,
( ( ! [A: $i] :
( ~ ( l2_conlat_1 @ A )
| ~ ( v4_conlat_1 @ A )
| ( A
= ( g2_conlat_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(162,plain,
( ( ! [A: $i] :
( ~ ( l2_conlat_1 @ A )
| ~ ( v4_conlat_1 @ A )
| ( A
= ( g2_conlat_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(163,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( ! [B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B )
| ! [C: $i] :
( ~ ( m1_lattice4 @ C @ A @ B )
| ~ ( v3_lattice4 @ C @ A @ B ) )
| ( r1_filter_1 @ A @ B ) )
& ! [B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B )
| ~ ( r1_filter_1 @ A @ B )
| ( ( m1_lattice4 @ ( sK7_C @ B @ A ) @ A @ B )
& ( v3_lattice4 @ ( sK7_C @ B @ A ) @ A @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(164,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( ( k7_conlat_2 @ A )
= ( g2_conlat_1 @ ( u2_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( k6_relset_1 @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) @ ( u3_conlat_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(165,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( l2_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) )
& ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( v4_conlat_1 @ ( g2_conlat_1 @ A @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(166,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( m1_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(167,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( l3_lattices @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(168,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l3_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(169,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_conlat_1 @ ( k7_conlat_2 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( l2_conlat_1 @ ( k7_conlat_2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(170,plain,
( ( ! [A: $i] :
( ~ ( l2_conlat_1 @ A )
| ( l1_conlat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(171,plain,
( ( ! [A: $i] :
( ~ ( l2_conlat_1 @ A )
| ( m2_relset_1 @ ( u3_conlat_1 @ A ) @ ( u1_conlat_1 @ A ) @ ( u2_conlat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(172,plain,
( ( l2_conlat_1 @ sK6_A )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(173,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ~ ( v1_xboole_0 @ ( u2_conlat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(174,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v5_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v6_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v7_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v8_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v9_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v10_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v13_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v14_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v15_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(175,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(176,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ~ ( v1_xboole_0 @ ( u1_conlat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(177,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v4_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v5_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v6_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v7_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v8_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v9_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v10_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v4_lattice3 @ A )
| ~ ( l3_lattices @ A )
| ( v4_lattice3 @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(178,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v5_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v6_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v7_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v8_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v9_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v10_lattices @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(179,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v5_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v6_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v7_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v8_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v9_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v10_lattices @ ( k11_conlat_1 @ A ) ) )
& ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v4_lattice3 @ ( k11_conlat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(180,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v3_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v4_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v5_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v6_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v7_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v8_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v9_lattices @ ( k1_lattice2 @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v10_lattices @ ( k1_lattice2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(181,plain,
( ( ( l2_conlat_1 @ sK5_A )
& ( v4_conlat_1 @ sK5_A ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(182,plain,
( ( ( l2_conlat_1 @ sK4_A )
& ~ ( v3_conlat_1 @ sK4_A )
& ( v4_conlat_1 @ sK4_A ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(183,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ( ( m1_subset_1 @ ( sK3_B @ A ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK3_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(184,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l1_conlat_1 @ A )
| ( ( m1_subset_1 @ ( sK2_B @ A ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK2_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(185,plain,
( ( ! [A: $i] :
( ! [B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B ) )
| ( r1_filter_1 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(186,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( l3_lattices @ A )
| ( v3_struct_0 @ B )
| ~ ( v10_lattices @ B )
| ~ ( l3_lattices @ B )
| ~ ( r1_filter_1 @ A @ B )
| ( r1_filter_1 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(187,plain,
( ( ! [A: $i] :
( ( v3_conlat_1 @ A )
| ~ ( l2_conlat_1 @ A )
| ( v3_lattice4 @ ( k10_conlat_2 @ A ) @ ( k1_lattice2 @ ( k11_conlat_1 @ A ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(188,plain,
( ( l2_conlat_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(189,plain,
( ( ~ ( v3_conlat_1 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(190,plain,
( ( ~ ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sK1_A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ sK1_A ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(191,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattice3 @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(192,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ! [SX2: $i] :
( ~ ( m1_lattice4 @ SX2 @ SX0 @ SX1 )
| ~ ( v3_lattice4 @ SX2 @ SX0 @ SX1 ) )
| ( r1_filter_1 @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 )
| ~ ( l3_lattices @ SX1 )
| ~ ( r1_filter_1 @ SX0 @ SX1 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( v3_lattice4 @ ( sK7_C @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(193,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(194,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ( l2_conlat_1 @ ( g2_conlat_1 @ SX0 @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ( v4_conlat_1 @ ( g2_conlat_1 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(195,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(196,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(197,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v15_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(198,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(199,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l1_conlat_1 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SX0 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SX0 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(200,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l2_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(201,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l1_conlat_1 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK3_B @ SX0 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SX0 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK3_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(202,plain,
( ( ~ ( ~ ( l2_conlat_1 @ sK5_A )
| ~ ( v4_conlat_1 @ sK5_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(203,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(204,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(205,plain,
( ( ~ ( ~ ~ ( ~ ( l2_conlat_1 @ sK4_A )
| ~ ~ ( v3_conlat_1 @ sK4_A ) )
| ~ ( v4_conlat_1 @ sK4_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(206,plain,
! [SV1: $i] :
( ( ~ ( l2_conlat_1 @ SV1 )
| ~ ( v4_conlat_1 @ SV1 )
| ( SV1
= ( g2_conlat_1 @ ( u1_conlat_1 @ SV1 ) @ ( u2_conlat_1 @ SV1 ) @ ( u3_conlat_1 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(207,plain,
! [SV2: $i] :
( ( ( v3_conlat_1 @ SV2 )
| ~ ( l2_conlat_1 @ SV2 )
| ( ( k7_conlat_2 @ SV2 )
= ( g2_conlat_1 @ ( u2_conlat_1 @ SV2 ) @ ( u1_conlat_1 @ SV2 ) @ ( k6_relset_1 @ ( u1_conlat_1 @ SV2 ) @ ( u2_conlat_1 @ SV2 ) @ ( u3_conlat_1 @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(208,plain,
! [SV3: $i] :
( ( ( v3_conlat_1 @ SV3 )
| ~ ( l2_conlat_1 @ SV3 )
| ( m1_lattice4 @ ( k10_conlat_2 @ SV3 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV3 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(209,plain,
! [SV4: $i] :
( ( ~ ( l2_conlat_1 @ SV4 )
| ( l1_conlat_1 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(210,plain,
! [SV5: $i] :
( ( ~ ( l2_conlat_1 @ SV5 )
| ( m2_relset_1 @ ( u3_conlat_1 @ SV5 ) @ ( u1_conlat_1 @ SV5 ) @ ( u2_conlat_1 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(211,plain,
! [SV6: $i] :
( ( ( v3_conlat_1 @ SV6 )
| ~ ( l1_conlat_1 @ SV6 )
| ~ ( v1_xboole_0 @ ( u2_conlat_1 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(212,plain,
! [SV7: $i] :
( ( ( v3_conlat_1 @ SV7 )
| ~ ( l1_conlat_1 @ SV7 )
| ~ ( v1_xboole_0 @ ( u1_conlat_1 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(213,plain,
! [SV8: $i] :
( ( ! [SY224: $i] :
( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 )
| ( v3_struct_0 @ SY224 )
| ~ ( v10_lattices @ SY224 )
| ~ ( l3_lattices @ SY224 ) )
| ( r1_filter_1 @ SV8 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(214,plain,
! [SV9: $i] :
( ( ! [SY225: $i] :
( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 )
| ( v3_struct_0 @ SY225 )
| ~ ( v10_lattices @ SY225 )
| ~ ( l3_lattices @ SY225 )
| ~ ( r1_filter_1 @ SV9 @ SY225 )
| ( r1_filter_1 @ SY225 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(215,plain,
! [SV10: $i] :
( ( ( v3_conlat_1 @ SV10 )
| ~ ( l2_conlat_1 @ SV10 )
| ( v3_lattice4 @ ( k10_conlat_2 @ SV10 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV10 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(216,plain,
( ( v3_conlat_1 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(217,plain,
( ( r1_filter_1 @ ( k11_conlat_1 @ ( k7_conlat_2 @ sK1_A ) ) @ ( k1_lattice2 @ ( k11_conlat_1 @ sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(218,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattice3 @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(219,plain,
! [SV11: $i] :
( ( ( v3_struct_0 @ SV11 )
| ~ ( v10_lattices @ SV11 )
| ~ ( l3_lattices @ SV11 )
| ~ ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) )
| ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(220,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(221,plain,
! [SV12: $i] :
( ( ~ ( ~ ! [SY229: $i,SY230: $i] :
( ~ ( m1_relset_1 @ SY230 @ SV12 @ SY229 )
| ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY229 @ SY230 ) ) )
| ~ ! [SY231: $i,SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV12 @ SY231 )
| ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY231 @ SY232 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(222,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(223,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(224,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v15_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(225,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(226,plain,
! [SV13: $i] :
( ( ( v3_conlat_1 @ SV13 )
| ~ ( l1_conlat_1 @ SV13 )
| ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SV13 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SV13 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(227,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l2_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(228,plain,
! [SV14: $i] :
( ( ( v3_conlat_1 @ SV14 )
| ~ ( l1_conlat_1 @ SV14 )
| ~ ( ~ ( m1_subset_1 @ ( sK3_B @ SV14 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SV14 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK3_B @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(229,plain,
( ( ~ ( l2_conlat_1 @ sK5_A )
| ~ ( v4_conlat_1 @ sK5_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(230,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(231,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(232,plain,
( ( ~ ~ ( ~ ( l2_conlat_1 @ sK4_A )
| ~ ~ ( v3_conlat_1 @ sK4_A ) )
| ~ ( v4_conlat_1 @ sK4_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(233,plain,
! [SV1: $i] :
( ( ( ~ ( l2_conlat_1 @ SV1 ) )
= $true )
| ( ( ~ ( v4_conlat_1 @ SV1 )
| ( SV1
= ( g2_conlat_1 @ ( u1_conlat_1 @ SV1 ) @ ( u2_conlat_1 @ SV1 ) @ ( u3_conlat_1 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(234,plain,
! [SV2: $i] :
( ( ( ( v3_conlat_1 @ SV2 )
| ~ ( l2_conlat_1 @ SV2 ) )
= $true )
| ( ( ( k7_conlat_2 @ SV2 )
= ( g2_conlat_1 @ ( u2_conlat_1 @ SV2 ) @ ( u1_conlat_1 @ SV2 ) @ ( k6_relset_1 @ ( u1_conlat_1 @ SV2 ) @ ( u2_conlat_1 @ SV2 ) @ ( u3_conlat_1 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(235,plain,
! [SV3: $i] :
( ( ( ( v3_conlat_1 @ SV3 )
| ~ ( l2_conlat_1 @ SV3 ) )
= $true )
| ( ( m1_lattice4 @ ( k10_conlat_2 @ SV3 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV3 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(236,plain,
! [SV4: $i] :
( ( ( ~ ( l2_conlat_1 @ SV4 ) )
= $true )
| ( ( l1_conlat_1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(237,plain,
! [SV5: $i] :
( ( ( ~ ( l2_conlat_1 @ SV5 ) )
= $true )
| ( ( m2_relset_1 @ ( u3_conlat_1 @ SV5 ) @ ( u1_conlat_1 @ SV5 ) @ ( u2_conlat_1 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(238,plain,
! [SV6: $i] :
( ( ( ( v3_conlat_1 @ SV6 )
| ~ ( l1_conlat_1 @ SV6 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u2_conlat_1 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(239,plain,
! [SV7: $i] :
( ( ( ( v3_conlat_1 @ SV7 )
| ~ ( l1_conlat_1 @ SV7 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_conlat_1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(240,plain,
! [SV8: $i] :
( ( ( ! [SY224: $i] :
( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 )
| ( v3_struct_0 @ SY224 )
| ~ ( v10_lattices @ SY224 )
| ~ ( l3_lattices @ SY224 ) ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(241,plain,
! [SV15: $i,SV9: $i] :
( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 )
| ( v3_struct_0 @ SV15 )
| ~ ( v10_lattices @ SV15 )
| ~ ( l3_lattices @ SV15 )
| ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(242,plain,
! [SV10: $i] :
( ( ( ( v3_conlat_1 @ SV10 )
| ~ ( l2_conlat_1 @ SV10 ) )
= $true )
| ( ( v3_lattice4 @ ( k10_conlat_2 @ SV10 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV10 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(243,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(244,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattice3 @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(245,plain,
! [SV11: $i] :
( ( ( ( v3_struct_0 @ SV11 )
| ~ ( v10_lattices @ SV11 )
| ~ ( l3_lattices @ SV11 ) )
= $true )
| ( ( ~ ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) )
| ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(246,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(247,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(248,plain,
! [SV12: $i] :
( ( ~ ! [SY229: $i,SY230: $i] :
( ~ ( m1_relset_1 @ SY230 @ SV12 @ SY229 )
| ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY229 @ SY230 ) ) )
| ~ ! [SY231: $i,SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV12 @ SY231 )
| ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY231 @ SY232 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(249,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(250,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(251,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(252,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(253,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v15_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(254,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(255,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(256,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(257,plain,
! [SV13: $i] :
( ( ( ( v3_conlat_1 @ SV13 )
| ~ ( l1_conlat_1 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SV13 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SV13 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(258,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(259,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l2_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(260,plain,
! [SV14: $i] :
( ( ( ( v3_conlat_1 @ SV14 )
| ~ ( l1_conlat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK3_B @ SV14 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SV14 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK3_B @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(261,plain,
( ( ~ ( l2_conlat_1 @ sK5_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(262,plain,
( ( ~ ( v4_conlat_1 @ sK5_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(263,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(264,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(265,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(266,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(267,plain,
( ( ~ ~ ( ~ ( l2_conlat_1 @ sK4_A )
| ~ ~ ( v3_conlat_1 @ sK4_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(268,plain,
( ( ~ ( v4_conlat_1 @ sK4_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(269,plain,
! [SV1: $i] :
( ( ( l2_conlat_1 @ SV1 )
= $false )
| ( ( ~ ( v4_conlat_1 @ SV1 )
| ( SV1
= ( g2_conlat_1 @ ( u1_conlat_1 @ SV1 ) @ ( u2_conlat_1 @ SV1 ) @ ( u3_conlat_1 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(270,plain,
! [SV2: $i] :
( ( ( v3_conlat_1 @ SV2 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV2 ) )
= $true )
| ( ( ( k7_conlat_2 @ SV2 )
= ( g2_conlat_1 @ ( u2_conlat_1 @ SV2 ) @ ( u1_conlat_1 @ SV2 ) @ ( k6_relset_1 @ ( u1_conlat_1 @ SV2 ) @ ( u2_conlat_1 @ SV2 ) @ ( u3_conlat_1 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(271,plain,
! [SV3: $i] :
( ( ( v3_conlat_1 @ SV3 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV3 ) )
= $true )
| ( ( m1_lattice4 @ ( k10_conlat_2 @ SV3 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV3 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(272,plain,
! [SV4: $i] :
( ( ( l2_conlat_1 @ SV4 )
= $false )
| ( ( l1_conlat_1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(273,plain,
! [SV5: $i] :
( ( ( l2_conlat_1 @ SV5 )
= $false )
| ( ( m2_relset_1 @ ( u3_conlat_1 @ SV5 ) @ ( u1_conlat_1 @ SV5 ) @ ( u2_conlat_1 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(274,plain,
! [SV6: $i] :
( ( ( v3_conlat_1 @ SV6 )
= $true )
| ( ( ~ ( l1_conlat_1 @ SV6 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u2_conlat_1 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(275,plain,
! [SV7: $i] :
( ( ( v3_conlat_1 @ SV7 )
= $true )
| ( ( ~ ( l1_conlat_1 @ SV7 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_conlat_1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(276,plain,
! [SV16: $i,SV8: $i] :
( ( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 )
| ( v3_struct_0 @ SV16 )
| ~ ( v10_lattices @ SV16 )
| ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(277,plain,
! [SV15: $i,SV9: $i] :
( ( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 )
| ( v3_struct_0 @ SV15 )
| ~ ( v10_lattices @ SV15 )
| ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(278,plain,
! [SV10: $i] :
( ( ( v3_conlat_1 @ SV10 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV10 ) )
= $true )
| ( ( v3_lattice4 @ ( k10_conlat_2 @ SV10 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV10 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(279,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(280,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattice3 @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(281,plain,
! [SV11: $i] :
( ( ( ( v3_struct_0 @ SV11 )
| ~ ( v10_lattices @ SV11 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV11 ) )
= $true )
| ( ( ~ ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) )
| ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(282,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(283,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(284,plain,
! [SV12: $i] :
( ( ~ ! [SY229: $i,SY230: $i] :
( ~ ( m1_relset_1 @ SY230 @ SV12 @ SY229 )
| ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY229 @ SY230 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(285,plain,
! [SV12: $i] :
( ( ~ ! [SY231: $i,SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV12 @ SY231 )
| ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY231 @ SY232 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(286,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(287,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(288,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(289,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(290,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v15_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(291,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(292,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(293,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(294,plain,
! [SV13: $i] :
( ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( ~ ( l1_conlat_1 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SV13 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SV13 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(295,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(296,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( l2_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(297,plain,
! [SV14: $i] :
( ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( ~ ( l1_conlat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK3_B @ SV14 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SV14 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK3_B @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(298,plain,
( ( l2_conlat_1 @ sK5_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(299,plain,
( ( v4_conlat_1 @ sK5_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(300,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(301,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(302,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(303,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(304,plain,
( ( ~ ( ~ ( l2_conlat_1 @ sK4_A )
| ~ ~ ( v3_conlat_1 @ sK4_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(305,plain,
( ( v4_conlat_1 @ sK4_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(306,plain,
! [SV1: $i] :
( ( ( ~ ( v4_conlat_1 @ SV1 ) )
= $true )
| ( ( SV1
= ( g2_conlat_1 @ ( u1_conlat_1 @ SV1 ) @ ( u2_conlat_1 @ SV1 ) @ ( u3_conlat_1 @ SV1 ) ) )
= $true )
| ( ( l2_conlat_1 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(307,plain,
! [SV2: $i] :
( ( ( l2_conlat_1 @ SV2 )
= $false )
| ( ( v3_conlat_1 @ SV2 )
= $true )
| ( ( ( k7_conlat_2 @ SV2 )
= ( g2_conlat_1 @ ( u2_conlat_1 @ SV2 ) @ ( u1_conlat_1 @ SV2 ) @ ( k6_relset_1 @ ( u1_conlat_1 @ SV2 ) @ ( u2_conlat_1 @ SV2 ) @ ( u3_conlat_1 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(308,plain,
! [SV3: $i] :
( ( ( l2_conlat_1 @ SV3 )
= $false )
| ( ( v3_conlat_1 @ SV3 )
= $true )
| ( ( m1_lattice4 @ ( k10_conlat_2 @ SV3 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV3 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(309,plain,
! [SV6: $i] :
( ( ( l1_conlat_1 @ SV6 )
= $false )
| ( ( v3_conlat_1 @ SV6 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u2_conlat_1 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(310,plain,
! [SV7: $i] :
( ( ( l1_conlat_1 @ SV7 )
= $false )
| ( ( v3_conlat_1 @ SV7 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_conlat_1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(311,plain,
! [SV16: $i,SV8: $i] :
( ( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 )
| ( v3_struct_0 @ SV16 )
| ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(312,plain,
! [SV15: $i,SV9: $i] :
( ( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 )
| ( v3_struct_0 @ SV15 )
| ~ ( v10_lattices @ SV15 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(313,plain,
! [SV10: $i] :
( ( ( l2_conlat_1 @ SV10 )
= $false )
| ( ( v3_conlat_1 @ SV10 )
= $true )
| ( ( v3_lattice4 @ ( k10_conlat_2 @ SV10 ) @ ( k1_lattice2 @ ( k11_conlat_1 @ SV10 ) ) @ ( k11_conlat_1 @ ( k7_conlat_2 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(314,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(315,plain,
! [SV17: $i] :
( ( ( v3_struct_0 @ SV17 )
| ~ ( v10_lattices @ SV17 )
| ~ ( v4_lattice3 @ SV17 )
| ~ ( l3_lattices @ SV17 )
| ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(316,plain,
! [SV11: $i] :
( ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( ~ ( v10_lattices @ SV11 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV11 ) )
= $true )
| ( ( ~ ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) )
| ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(317,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(318,plain,
! [SV18: $i] :
( ( ( v3_conlat_1 @ SV18 )
| ~ ( l2_conlat_1 @ SV18 )
| ( v10_lattices @ ( k11_conlat_1 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(319,plain,
! [SV12: $i] :
( ( ! [SY229: $i,SY230: $i] :
( ~ ( m1_relset_1 @ SY230 @ SV12 @ SY229 )
| ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY229 @ SY230 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(320,plain,
! [SV12: $i] :
( ( ! [SY231: $i,SY232: $i] :
( ~ ( m1_relset_1 @ SY232 @ SV12 @ SY231 )
| ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SY231 @ SY232 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(321,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(322,plain,
! [SV19: $i] :
( ( ( v3_conlat_1 @ SV19 )
| ~ ( l2_conlat_1 @ SV19 )
| ( l3_lattices @ ( k11_conlat_1 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(323,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(324,plain,
! [SV20: $i] :
( ( ( v3_conlat_1 @ SV20 )
| ~ ( l2_conlat_1 @ SV20 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(325,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v15_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(326,plain,
! [SV21: $i] :
( ( ( v3_conlat_1 @ SV21 )
| ~ ( l2_conlat_1 @ SV21 )
| ( v4_lattice3 @ ( k11_conlat_1 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(327,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
| ~ ( l3_lattices @ SV22 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(328,plain,
! [SV23: $i] :
( ( ( v3_struct_0 @ SV23 )
| ~ ( l3_lattices @ SV23 )
| ( v3_lattices @ ( k1_lattice2 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(329,plain,
! [SV13: $i] :
( ( ( l1_conlat_1 @ SV13 )
= $false )
| ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SV13 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SV13 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(330,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(331,plain,
! [SV24: $i] :
( ( ( v3_conlat_1 @ SV24 )
| ~ ( l2_conlat_1 @ SV24 )
| ( l2_conlat_1 @ ( k7_conlat_2 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(332,plain,
! [SV14: $i] :
( ( ( l1_conlat_1 @ SV14 )
= $false )
| ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK3_B @ SV14 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SV14 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK3_B @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(333,plain,
! [SV25: $i] :
( ( ~ ( l3_lattices @ SV25 )
| ( l3_lattices @ ( k1_lattice2 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(334,plain,
! [SV26: $i] :
( ( ~ ( l3_lattices @ SV26 )
| ( v3_lattices @ ( k1_lattice2 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(335,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(336,plain,
! [SV27: $i] :
( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( l3_lattices @ SV27 )
| ( v10_lattices @ ( k1_lattice2 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(337,plain,
( ( ~ ( l2_conlat_1 @ sK4_A )
| ~ ~ ( v3_conlat_1 @ sK4_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(338,plain,
! [SV1: $i] :
( ( ( v4_conlat_1 @ SV1 )
= $false )
| ( ( SV1
= ( g2_conlat_1 @ ( u1_conlat_1 @ SV1 ) @ ( u2_conlat_1 @ SV1 ) @ ( u3_conlat_1 @ SV1 ) ) )
= $true )
| ( ( l2_conlat_1 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(339,plain,
! [SV6: $i] :
( ( ( v1_xboole_0 @ ( u2_conlat_1 @ SV6 ) )
= $false )
| ( ( v3_conlat_1 @ SV6 )
= $true )
| ( ( l1_conlat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(340,plain,
! [SV7: $i] :
( ( ( v1_xboole_0 @ ( u1_conlat_1 @ SV7 ) )
= $false )
| ( ( v3_conlat_1 @ SV7 )
= $true )
| ( ( l1_conlat_1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(341,plain,
! [SV16: $i,SV8: $i] :
( ( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 )
| ( v3_struct_0 @ SV16 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(342,plain,
! [SV15: $i,SV9: $i] :
( ( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 )
| ( v3_struct_0 @ SV15 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV15 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(343,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(344,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(345,plain,
! [SV17: $i] :
( ( ( ( v3_struct_0 @ SV17 )
| ~ ( v10_lattices @ SV17 )
| ~ ( v4_lattice3 @ SV17 )
| ~ ( l3_lattices @ SV17 ) )
= $true )
| ( ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(346,plain,
! [SV11: $i] :
( ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( ~ ( l3_lattices @ SV11 ) )
= $true )
| ( ( ~ ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) )
| ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(347,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(348,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(349,plain,
! [SV18: $i] :
( ( ( ( v3_conlat_1 @ SV18 )
| ~ ( l2_conlat_1 @ SV18 ) )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(350,plain,
! [SV28: $i,SV12: $i] :
( ( ! [SY233: $i] :
( ~ ( m1_relset_1 @ SY233 @ SV12 @ SV28 )
| ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV28 @ SY233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(351,plain,
! [SV29: $i,SV12: $i] :
( ( ! [SY234: $i] :
( ~ ( m1_relset_1 @ SY234 @ SV12 @ SV29 )
| ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV29 @ SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(352,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(353,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(354,plain,
! [SV19: $i] :
( ( ( ( v3_conlat_1 @ SV19 )
| ~ ( l2_conlat_1 @ SV19 ) )
= $true )
| ( ( l3_lattices @ ( k11_conlat_1 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(355,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(356,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(357,plain,
! [SV20: $i] :
( ( ( ( v3_conlat_1 @ SV20 )
| ~ ( l2_conlat_1 @ SV20 ) )
= $true )
| ( ( v4_lattice3 @ ( k11_conlat_1 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(358,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(359,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v15_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(360,plain,
! [SV21: $i] :
( ( ( ( v3_conlat_1 @ SV21 )
| ~ ( l2_conlat_1 @ SV21 ) )
= $true )
| ( ( v4_lattice3 @ ( k11_conlat_1 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(361,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(362,plain,
! [SV23: $i] :
( ( ( ( v3_struct_0 @ SV23 )
| ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(363,plain,
! [SV13: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK2_B @ SV13 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SV13 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV13 ) ) )
= $false )
| ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( l1_conlat_1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(364,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(365,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(366,plain,
! [SV24: $i] :
( ( ( ( v3_conlat_1 @ SV24 )
| ~ ( l2_conlat_1 @ SV24 ) )
= $true )
| ( ( l2_conlat_1 @ ( k7_conlat_2 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(367,plain,
! [SV14: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK3_B @ SV14 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SV14 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK3_B @ SV14 ) ) )
= $false )
| ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( l1_conlat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(368,plain,
! [SV25: $i] :
( ( ( ~ ( l3_lattices @ SV25 ) )
= $true )
| ( ( l3_lattices @ ( k1_lattice2 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(369,plain,
! [SV26: $i] :
( ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(370,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(371,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(372,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(373,plain,
( ( ~ ( l2_conlat_1 @ sK4_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(374,plain,
( ( ~ ~ ( v3_conlat_1 @ sK4_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(375,plain,
! [SV16: $i,SV8: $i] :
( ( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 )
| ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(376,plain,
! [SV15: $i,SV9: $i] :
( ( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 )
| ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v10_lattices @ SV15 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(377,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(378,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(379,plain,
! [SV17: $i] :
( ( ( ( v3_struct_0 @ SV17 )
| ~ ( v10_lattices @ SV17 )
| ~ ( v4_lattice3 @ SV17 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV17 ) )
= $true )
| ( ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(380,plain,
! [SV11: $i] :
( ( ( l3_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( ~ ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) )
| ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(381,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(382,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(383,plain,
! [SV18: $i] :
( ( ( v3_conlat_1 @ SV18 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV18 ) )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(384,plain,
! [SV28: $i,SV12: $i,SV30: $i] :
( ( ~ ( m1_relset_1 @ SV30 @ SV12 @ SV28 )
| ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV28 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(385,plain,
! [SV29: $i,SV12: $i,SV31: $i] :
( ( ~ ( m1_relset_1 @ SV31 @ SV12 @ SV29 )
| ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV29 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(386,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(387,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(388,plain,
! [SV19: $i] :
( ( ( v3_conlat_1 @ SV19 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV19 ) )
= $true )
| ( ( l3_lattices @ ( k11_conlat_1 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(389,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(390,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(391,plain,
! [SV20: $i] :
( ( ( v3_conlat_1 @ SV20 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV20 ) )
= $true )
| ( ( v4_lattice3 @ ( k11_conlat_1 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(392,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(393,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v15_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(394,plain,
! [SV21: $i] :
( ( ( v3_conlat_1 @ SV21 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV21 ) )
= $true )
| ( ( v4_lattice3 @ ( k11_conlat_1 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(395,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(396,plain,
! [SV23: $i] :
( ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(397,plain,
! [SV13: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK2_B @ SV13 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SV13 ) ) ) )
= $false )
| ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( l1_conlat_1 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(398,plain,
! [SV13: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV13 ) ) )
= $false )
| ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( l1_conlat_1 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(399,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(400,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(401,plain,
! [SV24: $i] :
( ( ( v3_conlat_1 @ SV24 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV24 ) )
= $true )
| ( ( l2_conlat_1 @ ( k7_conlat_2 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(402,plain,
! [SV14: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK3_B @ SV14 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SV14 ) ) ) )
= $false )
| ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( l1_conlat_1 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(403,plain,
! [SV14: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK3_B @ SV14 ) ) )
= $false )
| ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( l1_conlat_1 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(404,plain,
! [SV25: $i] :
( ( ( l3_lattices @ SV25 )
= $false )
| ( ( l3_lattices @ ( k1_lattice2 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(405,plain,
! [SV26: $i] :
( ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_lattices @ ( k1_lattice2 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(406,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(407,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(408,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(409,plain,
( ( l2_conlat_1 @ sK4_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(410,plain,
( ( ~ ( v3_conlat_1 @ sK4_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(411,plain,
! [SV16: $i,SV8: $i] :
( ( ( ( v3_struct_0 @ SV8 )
| ~ ( v10_lattices @ SV8 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(412,plain,
! [SV15: $i,SV9: $i] :
( ( ( ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v10_lattices @ SV15 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(413,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(414,plain,
! [SV32: $i] :
( ( ( v3_struct_0 @ SV32 )
| ~ ( v10_lattices @ SV32 )
| ~ ( v4_lattice3 @ SV32 )
| ~ ( l3_lattices @ SV32 )
| ( v10_lattices @ ( k1_lattice2 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(415,plain,
! [SV17: $i] :
( ( ( ( v3_struct_0 @ SV17 )
| ~ ( v10_lattices @ SV17 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV17 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV17 ) )
= $true )
| ( ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(416,plain,
! [SV11: $i] :
( ( ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) )
| ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(417,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(418,plain,
! [SV33: $i] :
( ( ( v3_conlat_1 @ SV33 )
| ~ ( l2_conlat_1 @ SV33 )
| ( v9_lattices @ ( k11_conlat_1 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(419,plain,
! [SV18: $i] :
( ( ( l2_conlat_1 @ SV18 )
= $false )
| ( ( v3_conlat_1 @ SV18 )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(420,plain,
! [SV28: $i,SV12: $i,SV30: $i] :
( ( ( ~ ( m1_relset_1 @ SV30 @ SV12 @ SV28 ) )
= $true )
| ( ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV28 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(421,plain,
! [SV29: $i,SV12: $i,SV31: $i] :
( ( ( ~ ( m1_relset_1 @ SV31 @ SV12 @ SV29 ) )
= $true )
| ( ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV29 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(422,plain,
! [SV34: $i] :
( ( ( v3_conlat_1 @ SV34 )
| ~ ( l2_conlat_1 @ SV34 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(423,plain,
! [SV35: $i] :
( ( ( v3_conlat_1 @ SV35 )
| ~ ( l2_conlat_1 @ SV35 )
| ( v3_lattices @ ( k11_conlat_1 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(424,plain,
! [SV19: $i] :
( ( ( l2_conlat_1 @ SV19 )
= $false )
| ( ( v3_conlat_1 @ SV19 )
= $true )
| ( ( l3_lattices @ ( k11_conlat_1 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(425,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(426,plain,
! [SV36: $i] :
( ( ( v3_conlat_1 @ SV36 )
| ~ ( l2_conlat_1 @ SV36 )
| ( v10_lattices @ ( k11_conlat_1 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(427,plain,
! [SV20: $i] :
( ( ( l2_conlat_1 @ SV20 )
= $false )
| ( ( v3_conlat_1 @ SV20 )
= $true )
| ( ( v4_lattice3 @ ( k11_conlat_1 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(428,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(429,plain,
! [SV37: $i] :
( ( ( v3_conlat_1 @ SV37 )
| ~ ( l2_conlat_1 @ SV37 )
| ( v15_lattices @ ( k11_conlat_1 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(430,plain,
! [SV21: $i] :
( ( ( l2_conlat_1 @ SV21 )
= $false )
| ( ( v3_conlat_1 @ SV21 )
= $true )
| ( ( v4_lattice3 @ ( k11_conlat_1 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(431,plain,
! [SV22: $i] :
( ( ( l3_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(432,plain,
! [SV23: $i] :
( ( ( l3_lattices @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(433,plain,
! [SV13: $i] :
( ( ( m1_subset_1 @ ( sK2_B @ SV13 ) @ ( k1_zfmisc_1 @ ( u2_conlat_1 @ SV13 ) ) )
= $true )
| ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( l1_conlat_1 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(434,plain,
! [SV13: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK2_B @ SV13 ) ) )
= $true )
| ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( l1_conlat_1 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(435,plain,
! [SV38: $i] :
( ( ( v3_conlat_1 @ SV38 )
| ~ ( l2_conlat_1 @ SV38 )
| ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(436,plain,
! [SV39: $i] :
( ( ( v3_conlat_1 @ SV39 )
| ~ ( l2_conlat_1 @ SV39 )
| ( v4_conlat_1 @ ( k7_conlat_2 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(437,plain,
! [SV24: $i] :
( ( ( l2_conlat_1 @ SV24 )
= $false )
| ( ( v3_conlat_1 @ SV24 )
= $true )
| ( ( l2_conlat_1 @ ( k7_conlat_2 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(438,plain,
! [SV14: $i] :
( ( ( m1_subset_1 @ ( sK3_B @ SV14 ) @ ( k1_zfmisc_1 @ ( u1_conlat_1 @ SV14 ) ) )
= $true )
| ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( l1_conlat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(439,plain,
! [SV14: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK3_B @ SV14 ) ) )
= $true )
| ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( l1_conlat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(440,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(441,plain,
! [SV40: $i] :
( ( ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 )
| ~ ( l3_lattices @ SV40 )
| ( v9_lattices @ ( k1_lattice2 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(442,plain,
! [SV27: $i] :
( ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( ~ ( v10_lattices @ SV27 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(443,plain,
( ( v3_conlat_1 @ sK4_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(444,plain,
! [SV16: $i,SV8: $i] :
( ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( v10_lattices @ SV8 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(445,plain,
! [SV15: $i,SV9: $i] :
( ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v10_lattices @ SV15 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(446,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(447,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(448,plain,
! [SV32: $i] :
( ( ( ( v3_struct_0 @ SV32 )
| ~ ( v10_lattices @ SV32 )
| ~ ( v4_lattice3 @ SV32 )
| ~ ( l3_lattices @ SV32 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(449,plain,
! [SV17: $i] :
( ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( ~ ( v10_lattices @ SV17 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV17 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV17 ) )
= $true )
| ( ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(450,plain,
! [SV11: $i] :
( ( ( ~ ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) ) )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(451,plain,
! [SV11: $i] :
( ( ( ~ ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(452,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(453,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(454,plain,
! [SV33: $i] :
( ( ( ( v3_conlat_1 @ SV33 )
| ~ ( l2_conlat_1 @ SV33 ) )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(455,plain,
! [SV28: $i,SV12: $i,SV30: $i] :
( ( ( m1_relset_1 @ SV30 @ SV12 @ SV28 )
= $false )
| ( ( l2_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV28 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(456,plain,
! [SV29: $i,SV12: $i,SV31: $i] :
( ( ( m1_relset_1 @ SV31 @ SV12 @ SV29 )
= $false )
| ( ( v4_conlat_1 @ ( g2_conlat_1 @ SV12 @ SV29 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(457,plain,
! [SV34: $i] :
( ( ( ( v3_conlat_1 @ SV34 )
| ~ ( l2_conlat_1 @ SV34 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(458,plain,
! [SV35: $i] :
( ( ( ( v3_conlat_1 @ SV35 )
| ~ ( l2_conlat_1 @ SV35 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(459,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(460,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(461,plain,
! [SV36: $i] :
( ( ( ( v3_conlat_1 @ SV36 )
| ~ ( l2_conlat_1 @ SV36 ) )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(462,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(463,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(464,plain,
! [SV37: $i] :
( ( ( ( v3_conlat_1 @ SV37 )
| ~ ( l2_conlat_1 @ SV37 ) )
= $true )
| ( ( v15_lattices @ ( k11_conlat_1 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(465,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ ( k1_lattice2 @ SV22 ) )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l3_lattices @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(466,plain,
! [SV13: $i] :
( ( ( v1_xboole_0 @ ( sK2_B @ SV13 ) )
= $false )
| ( ( v3_conlat_1 @ SV13 )
= $true )
| ( ( l1_conlat_1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(467,plain,
! [SV38: $i] :
( ( ( ( v3_conlat_1 @ SV38 )
| ~ ( l2_conlat_1 @ SV38 ) )
= $true )
| ( ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(468,plain,
! [SV39: $i] :
( ( ( ( v3_conlat_1 @ SV39 )
| ~ ( l2_conlat_1 @ SV39 ) )
= $true )
| ( ( v4_conlat_1 @ ( k7_conlat_2 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(469,plain,
! [SV14: $i] :
( ( ( v1_xboole_0 @ ( sK3_B @ SV14 ) )
= $false )
| ( ( v3_conlat_1 @ SV14 )
= $true )
| ( ( l1_conlat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(470,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(471,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(472,plain,
! [SV40: $i] :
( ( ( ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 )
| ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(473,plain,
! [SV27: $i] :
( ( ( v10_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(474,plain,
! [SV16: $i,SV8: $i] :
( ( ( v10_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( l3_lattices @ SV8 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(475,plain,
! [SV15: $i,SV9: $i] :
( ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v10_lattices @ SV15 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(476,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(477,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v9_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(478,plain,
! [SV32: $i] :
( ( ( ( v3_struct_0 @ SV32 )
| ~ ( v10_lattices @ SV32 )
| ~ ( v4_lattice3 @ SV32 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV32 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(479,plain,
! [SV17: $i] :
( ( ( v10_lattices @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV17 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV17 ) )
= $true )
| ( ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(480,plain,
! [SV11: $i] :
( ( ( ! [SY226: $i] :
( ( v3_struct_0 @ SY226 )
| ~ ( v10_lattices @ SY226 )
| ~ ( l3_lattices @ SY226 )
| ! [SY227: $i] :
( ~ ( m1_lattice4 @ SY227 @ SV11 @ SY226 )
| ~ ( v3_lattice4 @ SY227 @ SV11 @ SY226 ) )
| ( r1_filter_1 @ SV11 @ SY226 ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(481,plain,
! [SV11: $i] :
( ( ( ! [SY228: $i] :
( ( v3_struct_0 @ SY228 )
| ~ ( v10_lattices @ SY228 )
| ~ ( l3_lattices @ SY228 )
| ~ ( r1_filter_1 @ SV11 @ SY228 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 )
| ~ ( v3_lattice4 @ ( sK7_C @ SY228 @ SV11 ) @ SV11 @ SY228 ) ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(482,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(483,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(484,plain,
! [SV33: $i] :
( ( ( v3_conlat_1 @ SV33 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV33 ) )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(485,plain,
! [SV34: $i] :
( ( ( v3_conlat_1 @ SV34 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV34 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(486,plain,
! [SV35: $i] :
( ( ( v3_conlat_1 @ SV35 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV35 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(487,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(488,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(489,plain,
! [SV36: $i] :
( ( ( v3_conlat_1 @ SV36 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV36 ) )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(490,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(491,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v14_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(492,plain,
! [SV37: $i] :
( ( ( v3_conlat_1 @ SV37 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV37 ) )
= $true )
| ( ( v15_lattices @ ( k11_conlat_1 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(493,plain,
! [SV38: $i] :
( ( ( v3_conlat_1 @ SV38 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV38 ) )
= $true )
| ( ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(494,plain,
! [SV39: $i] :
( ( ( v3_conlat_1 @ SV39 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV39 ) )
= $true )
| ( ( v4_conlat_1 @ ( k7_conlat_2 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(495,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(496,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(497,plain,
! [SV40: $i] :
( ( ( ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(498,plain,
! [SV27: $i] :
( ( ( l3_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( v10_lattices @ SV27 )
= $false )
| ( ( v10_lattices @ ( k1_lattice2 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(499,plain,
! [SV16: $i,SV8: $i] :
( ( ( l3_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v10_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(500,plain,
! [SV15: $i,SV9: $i] :
( ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v10_lattices @ SV15 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(501,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(502,plain,
! [SV41: $i] :
( ( ( v3_struct_0 @ SV41 )
| ~ ( v10_lattices @ SV41 )
| ~ ( v4_lattice3 @ SV41 )
| ~ ( l3_lattices @ SV41 )
| ( v9_lattices @ ( k1_lattice2 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(503,plain,
! [SV32: $i] :
( ( ( ( v3_struct_0 @ SV32 )
| ~ ( v10_lattices @ SV32 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV32 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV32 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(504,plain,
! [SV17: $i] :
( ( ( v4_lattice3 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v10_lattices @ SV17 )
= $false )
| ( ( ~ ( l3_lattices @ SV17 ) )
= $true )
| ( ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(505,plain,
! [SV11: $i,SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v10_lattices @ SV42 )
| ~ ( l3_lattices @ SV42 )
| ! [SY235: $i] :
( ~ ( m1_lattice4 @ SY235 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SY235 @ SV11 @ SV42 ) )
| ( r1_filter_1 @ SV11 @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(506,plain,
! [SV11: $i,SV43: $i] :
( ( ( ( v3_struct_0 @ SV43 )
| ~ ( v10_lattices @ SV43 )
| ~ ( l3_lattices @ SV43 )
| ~ ( r1_filter_1 @ SV11 @ SV43 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(507,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(508,plain,
! [SV44: $i] :
( ( ( v3_conlat_1 @ SV44 )
| ~ ( l2_conlat_1 @ SV44 )
| ( v8_lattices @ ( k11_conlat_1 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(509,plain,
! [SV33: $i] :
( ( ( l2_conlat_1 @ SV33 )
= $false )
| ( ( v3_conlat_1 @ SV33 )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(510,plain,
! [SV34: $i] :
( ( ( l2_conlat_1 @ SV34 )
= $false )
| ( ( v3_conlat_1 @ SV34 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(511,plain,
! [SV35: $i] :
( ( ( l2_conlat_1 @ SV35 )
= $false )
| ( ( v3_conlat_1 @ SV35 )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(512,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(513,plain,
! [SV45: $i] :
( ( ( v3_conlat_1 @ SV45 )
| ~ ( l2_conlat_1 @ SV45 )
| ( v9_lattices @ ( k11_conlat_1 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(514,plain,
! [SV36: $i] :
( ( ( l2_conlat_1 @ SV36 )
= $false )
| ( ( v3_conlat_1 @ SV36 )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(515,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(516,plain,
! [SV46: $i] :
( ( ( v3_conlat_1 @ SV46 )
| ~ ( l2_conlat_1 @ SV46 )
| ( v14_lattices @ ( k11_conlat_1 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(517,plain,
! [SV37: $i] :
( ( ( l2_conlat_1 @ SV37 )
= $false )
| ( ( v3_conlat_1 @ SV37 )
= $true )
| ( ( v15_lattices @ ( k11_conlat_1 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(518,plain,
! [SV38: $i] :
( ( ( l2_conlat_1 @ SV38 )
= $false )
| ( ( v3_conlat_1 @ SV38 )
= $true )
| ( ( ~ ( v3_conlat_1 @ ( k7_conlat_2 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(519,plain,
! [SV39: $i] :
( ( ( l2_conlat_1 @ SV39 )
= $false )
| ( ( v3_conlat_1 @ SV39 )
= $true )
| ( ( v4_conlat_1 @ ( k7_conlat_2 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(520,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(521,plain,
! [SV47: $i] :
( ( ( v3_struct_0 @ SV47 )
| ~ ( v10_lattices @ SV47 )
| ~ ( l3_lattices @ SV47 )
| ( v8_lattices @ ( k1_lattice2 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(522,plain,
! [SV40: $i] :
( ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( ~ ( v10_lattices @ SV40 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(523,plain,
! [SV8: $i,SV16: $i] :
( ( ( v10_lattices @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( v10_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( l3_lattices @ SV8 )
= $false )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(524,plain,
! [SV9: $i,SV15: $i] :
( ( ( v10_lattices @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( ~ ( l3_lattices @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(525,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(526,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(527,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v10_lattices @ SV41 )
| ~ ( v4_lattice3 @ SV41 )
| ~ ( l3_lattices @ SV41 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(528,plain,
! [SV32: $i] :
( ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( ~ ( v10_lattices @ SV32 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV32 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV32 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(529,plain,
! [SV17: $i] :
( ( ( l3_lattices @ SV17 )
= $false )
| ( ( v10_lattices @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v4_lattice3 @ SV17 )
= $false )
| ( ( v4_lattice3 @ ( k1_lattice2 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(530,plain,
! [SV11: $i,SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v10_lattices @ SV42 )
| ~ ( l3_lattices @ SV42 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_lattice4 @ SY235 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SY235 @ SV11 @ SV42 ) )
| ( r1_filter_1 @ SV11 @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(531,plain,
! [SV11: $i,SV43: $i] :
( ( ( ( v3_struct_0 @ SV43 )
| ~ ( v10_lattices @ SV43 )
| ~ ( l3_lattices @ SV43 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV11 @ SV43 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(532,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(533,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(534,plain,
! [SV44: $i] :
( ( ( ( v3_conlat_1 @ SV44 )
| ~ ( l2_conlat_1 @ SV44 ) )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(535,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ ( k11_conlat_1 @ SV34 ) )
= $false )
| ( ( v3_conlat_1 @ SV34 )
= $true )
| ( ( l2_conlat_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(536,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(537,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(538,plain,
! [SV45: $i] :
( ( ( ( v3_conlat_1 @ SV45 )
| ~ ( l2_conlat_1 @ SV45 ) )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(539,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(540,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(541,plain,
! [SV46: $i] :
( ( ( ( v3_conlat_1 @ SV46 )
| ~ ( l2_conlat_1 @ SV46 ) )
= $true )
| ( ( v14_lattices @ ( k11_conlat_1 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(542,plain,
! [SV38: $i] :
( ( ( v3_conlat_1 @ ( k7_conlat_2 @ SV38 ) )
= $false )
| ( ( v3_conlat_1 @ SV38 )
= $true )
| ( ( l2_conlat_1 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(543,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(544,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(545,plain,
! [SV47: $i] :
( ( ( ( v3_struct_0 @ SV47 )
| ~ ( v10_lattices @ SV47 )
| ~ ( l3_lattices @ SV47 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(546,plain,
! [SV40: $i] :
( ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(547,plain,
! [SV8: $i,SV16: $i] :
( ( ( l3_lattices @ SV16 )
= $false )
| ( ( l3_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v10_lattices @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( v10_lattices @ SV16 )
= $false )
| ( ( r1_filter_1 @ SV8 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(548,plain,
! [SV9: $i,SV15: $i] :
( ( ( l3_lattices @ SV15 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v10_lattices @ SV15 )
= $false )
| ( ( ~ ( r1_filter_1 @ SV9 @ SV15 )
| ( r1_filter_1 @ SV15 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(549,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(550,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v8_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(551,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v10_lattices @ SV41 )
| ~ ( v4_lattice3 @ SV41 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV41 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(552,plain,
! [SV32: $i] :
( ( ( v10_lattices @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV32 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV32 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(553,plain,
! [SV11: $i,SV42: $i] :
( ( ( ( v3_struct_0 @ SV42 )
| ~ ( v10_lattices @ SV42 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV42 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_lattice4 @ SY235 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SY235 @ SV11 @ SV42 ) )
| ( r1_filter_1 @ SV11 @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(554,plain,
! [SV11: $i,SV43: $i] :
( ( ( ( v3_struct_0 @ SV43 )
| ~ ( v10_lattices @ SV43 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV43 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV11 @ SV43 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(555,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(556,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(557,plain,
! [SV44: $i] :
( ( ( v3_conlat_1 @ SV44 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV44 ) )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(558,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(559,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(560,plain,
! [SV45: $i] :
( ( ( v3_conlat_1 @ SV45 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV45 ) )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(561,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(562,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v13_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(563,plain,
! [SV46: $i] :
( ( ( v3_conlat_1 @ SV46 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV46 ) )
= $true )
| ( ( v14_lattices @ ( k11_conlat_1 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(564,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(565,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(566,plain,
! [SV47: $i] :
( ( ( ( v3_struct_0 @ SV47 )
| ~ ( v10_lattices @ SV47 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV47 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(567,plain,
! [SV40: $i] :
( ( ( l3_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v9_lattices @ ( k1_lattice2 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(568,plain,
! [SV15: $i,SV9: $i] :
( ( ( ~ ( r1_filter_1 @ SV9 @ SV15 ) )
= $true )
| ( ( r1_filter_1 @ SV15 @ SV9 )
= $true )
| ( ( v10_lattices @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( l3_lattices @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(569,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(570,plain,
! [SV48: $i] :
( ( ( v3_struct_0 @ SV48 )
| ~ ( v10_lattices @ SV48 )
| ~ ( v4_lattice3 @ SV48 )
| ~ ( l3_lattices @ SV48 )
| ( v8_lattices @ ( k1_lattice2 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(571,plain,
! [SV41: $i] :
( ( ( ( v3_struct_0 @ SV41 )
| ~ ( v10_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV41 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV41 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(572,plain,
! [SV32: $i] :
( ( ( v4_lattice3 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v10_lattices @ SV32 )
= $false )
| ( ( ~ ( l3_lattices @ SV32 ) )
= $true )
| ( ( v10_lattices @ ( k1_lattice2 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(573,plain,
! [SV11: $i,SV42: $i] :
( ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( ~ ( v10_lattices @ SV42 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV42 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_lattice4 @ SY235 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SY235 @ SV11 @ SV42 ) )
| ( r1_filter_1 @ SV11 @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(574,plain,
! [SV11: $i,SV43: $i] :
( ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( ~ ( v10_lattices @ SV43 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV43 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV11 @ SV43 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(575,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(576,plain,
! [SV49: $i] :
( ( ( v3_conlat_1 @ SV49 )
| ~ ( l2_conlat_1 @ SV49 )
| ( v7_lattices @ ( k11_conlat_1 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(577,plain,
! [SV44: $i] :
( ( ( l2_conlat_1 @ SV44 )
= $false )
| ( ( v3_conlat_1 @ SV44 )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(578,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(579,plain,
! [SV50: $i] :
( ( ( v3_conlat_1 @ SV50 )
| ~ ( l2_conlat_1 @ SV50 )
| ( v8_lattices @ ( k11_conlat_1 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(580,plain,
! [SV45: $i] :
( ( ( l2_conlat_1 @ SV45 )
= $false )
| ( ( v3_conlat_1 @ SV45 )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(581,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(582,plain,
! [SV51: $i] :
( ( ( v3_conlat_1 @ SV51 )
| ~ ( l2_conlat_1 @ SV51 )
| ( v13_lattices @ ( k11_conlat_1 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(583,plain,
! [SV46: $i] :
( ( ( l2_conlat_1 @ SV46 )
= $false )
| ( ( v3_conlat_1 @ SV46 )
= $true )
| ( ( v14_lattices @ ( k11_conlat_1 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(584,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(585,plain,
! [SV52: $i] :
( ( ( v3_struct_0 @ SV52 )
| ~ ( v10_lattices @ SV52 )
| ~ ( l3_lattices @ SV52 )
| ( v7_lattices @ ( k1_lattice2 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(586,plain,
! [SV47: $i] :
( ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( ~ ( v10_lattices @ SV47 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV47 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(587,plain,
! [SV15: $i,SV9: $i] :
( ( ( r1_filter_1 @ SV9 @ SV15 )
= $false )
| ( ( r1_filter_1 @ SV15 @ SV9 )
= $true )
| ( ( v10_lattices @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( l3_lattices @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(588,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(589,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(590,plain,
! [SV48: $i] :
( ( ( ( v3_struct_0 @ SV48 )
| ~ ( v10_lattices @ SV48 )
| ~ ( v4_lattice3 @ SV48 )
| ~ ( l3_lattices @ SV48 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(591,plain,
! [SV41: $i] :
( ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( ~ ( v10_lattices @ SV41 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV41 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV41 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(592,plain,
! [SV32: $i] :
( ( ( l3_lattices @ SV32 )
= $false )
| ( ( v10_lattices @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v4_lattice3 @ SV32 )
= $false )
| ( ( v10_lattices @ ( k1_lattice2 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(593,plain,
! [SV11: $i,SV42: $i] :
( ( ( v10_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( ~ ( l3_lattices @ SV42 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_lattice4 @ SY235 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SY235 @ SV11 @ SV42 ) )
| ( r1_filter_1 @ SV11 @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(594,plain,
! [SV11: $i,SV43: $i] :
( ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( ~ ( l3_lattices @ SV43 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV11 @ SV43 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(595,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(596,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(597,plain,
! [SV49: $i] :
( ( ( ( v3_conlat_1 @ SV49 )
| ~ ( l2_conlat_1 @ SV49 ) )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(598,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(599,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(600,plain,
! [SV50: $i] :
( ( ( ( v3_conlat_1 @ SV50 )
| ~ ( l2_conlat_1 @ SV50 ) )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(601,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(602,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(603,plain,
! [SV51: $i] :
( ( ( ( v3_conlat_1 @ SV51 )
| ~ ( l2_conlat_1 @ SV51 ) )
= $true )
| ( ( v13_lattices @ ( k11_conlat_1 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(604,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(605,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(606,plain,
! [SV52: $i] :
( ( ( ( v3_struct_0 @ SV52 )
| ~ ( v10_lattices @ SV52 )
| ~ ( l3_lattices @ SV52 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(607,plain,
! [SV47: $i] :
( ( ( v10_lattices @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( ~ ( l3_lattices @ SV47 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(608,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(609,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v7_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(610,plain,
! [SV48: $i] :
( ( ( ( v3_struct_0 @ SV48 )
| ~ ( v10_lattices @ SV48 )
| ~ ( v4_lattice3 @ SV48 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV48 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(611,plain,
! [SV41: $i] :
( ( ( v10_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV41 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV41 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(612,plain,
! [SV11: $i,SV42: $i] :
( ( ( l3_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v10_lattices @ SV42 )
= $false )
| ( ( ! [SY235: $i] :
( ~ ( m1_lattice4 @ SY235 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SY235 @ SV11 @ SV42 ) )
| ( r1_filter_1 @ SV11 @ SV42 ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(613,plain,
! [SV11: $i,SV43: $i] :
( ( ( l3_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( ~ ( r1_filter_1 @ SV11 @ SV43 )
| ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(614,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(615,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(616,plain,
! [SV49: $i] :
( ( ( v3_conlat_1 @ SV49 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV49 ) )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(617,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(618,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(619,plain,
! [SV50: $i] :
( ( ( v3_conlat_1 @ SV50 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV50 ) )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(620,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(621,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v10_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(622,plain,
! [SV51: $i] :
( ( ( v3_conlat_1 @ SV51 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV51 ) )
= $true )
| ( ( v13_lattices @ ( k11_conlat_1 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(623,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(624,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(625,plain,
! [SV52: $i] :
( ( ( ( v3_struct_0 @ SV52 )
| ~ ( v10_lattices @ SV52 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV52 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(626,plain,
! [SV47: $i] :
( ( ( l3_lattices @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( v10_lattices @ SV47 )
= $false )
| ( ( v8_lattices @ ( k1_lattice2 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(627,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(628,plain,
! [SV53: $i] :
( ( ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 )
| ~ ( v4_lattice3 @ SV53 )
| ~ ( l3_lattices @ SV53 )
| ( v7_lattices @ ( k1_lattice2 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(629,plain,
! [SV48: $i] :
( ( ( ( v3_struct_0 @ SV48 )
| ~ ( v10_lattices @ SV48 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV48 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV48 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(630,plain,
! [SV41: $i] :
( ( ( v4_lattice3 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v10_lattices @ SV41 )
= $false )
| ( ( ~ ( l3_lattices @ SV41 ) )
= $true )
| ( ( v9_lattices @ ( k1_lattice2 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(631,plain,
! [SV42: $i,SV11: $i] :
( ( ( ! [SY235: $i] :
( ~ ( m1_lattice4 @ SY235 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SY235 @ SV11 @ SV42 ) ) )
= $true )
| ( ( r1_filter_1 @ SV11 @ SV42 )
= $true )
| ( ( v10_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(632,plain,
! [SV43: $i,SV11: $i] :
( ( ( ~ ( r1_filter_1 @ SV11 @ SV43 ) )
= $true )
| ( ( ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l3_lattices @ SV43 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(633,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(634,plain,
! [SV54: $i] :
( ( ( v3_conlat_1 @ SV54 )
| ~ ( l2_conlat_1 @ SV54 )
| ( v6_lattices @ ( k11_conlat_1 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(635,plain,
! [SV49: $i] :
( ( ( l2_conlat_1 @ SV49 )
= $false )
| ( ( v3_conlat_1 @ SV49 )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(636,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(637,plain,
! [SV55: $i] :
( ( ( v3_conlat_1 @ SV55 )
| ~ ( l2_conlat_1 @ SV55 )
| ( v7_lattices @ ( k11_conlat_1 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(638,plain,
! [SV50: $i] :
( ( ( l2_conlat_1 @ SV50 )
= $false )
| ( ( v3_conlat_1 @ SV50 )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(639,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(640,plain,
! [SV56: $i] :
( ( ( v3_conlat_1 @ SV56 )
| ~ ( l2_conlat_1 @ SV56 )
| ( v10_lattices @ ( k11_conlat_1 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(641,plain,
! [SV51: $i] :
( ( ( l2_conlat_1 @ SV51 )
= $false )
| ( ( v3_conlat_1 @ SV51 )
= $true )
| ( ( v13_lattices @ ( k11_conlat_1 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(642,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(643,plain,
! [SV57: $i] :
( ( ( v3_struct_0 @ SV57 )
| ~ ( v10_lattices @ SV57 )
| ~ ( l3_lattices @ SV57 )
| ( v6_lattices @ ( k1_lattice2 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(644,plain,
! [SV52: $i] :
( ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( ~ ( v10_lattices @ SV52 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV52 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(645,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(646,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(647,plain,
! [SV53: $i] :
( ( ( ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 )
| ~ ( v4_lattice3 @ SV53 )
| ~ ( l3_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(648,plain,
! [SV48: $i] :
( ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( ~ ( v10_lattices @ SV48 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV48 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV48 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(649,plain,
! [SV41: $i] :
( ( ( l3_lattices @ SV41 )
= $false )
| ( ( v10_lattices @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v4_lattice3 @ SV41 )
= $false )
| ( ( v9_lattices @ ( k1_lattice2 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(650,plain,
! [SV42: $i,SV11: $i,SV58: $i] :
( ( ( ~ ( m1_lattice4 @ SV58 @ SV11 @ SV42 )
| ~ ( v3_lattice4 @ SV58 @ SV11 @ SV42 ) )
= $true )
| ( ( r1_filter_1 @ SV11 @ SV42 )
= $true )
| ( ( v10_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(651,plain,
! [SV43: $i,SV11: $i] :
( ( ( r1_filter_1 @ SV11 @ SV43 )
= $false )
| ( ( ~ ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) ) )
= $true )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l3_lattices @ SV43 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(652,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(653,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(654,plain,
! [SV54: $i] :
( ( ( ( v3_conlat_1 @ SV54 )
| ~ ( l2_conlat_1 @ SV54 ) )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(655,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[636]) ).
thf(656,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[636]) ).
thf(657,plain,
! [SV55: $i] :
( ( ( ( v3_conlat_1 @ SV55 )
| ~ ( l2_conlat_1 @ SV55 ) )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(658,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(659,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(660,plain,
! [SV56: $i] :
( ( ( ( v3_conlat_1 @ SV56 )
| ~ ( l2_conlat_1 @ SV56 ) )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(661,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(662,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(663,plain,
! [SV57: $i] :
( ( ( ( v3_struct_0 @ SV57 )
| ~ ( v10_lattices @ SV57 )
| ~ ( l3_lattices @ SV57 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(664,plain,
! [SV52: $i] :
( ( ( v10_lattices @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( ~ ( l3_lattices @ SV52 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(665,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(666,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v6_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(667,plain,
! [SV53: $i] :
( ( ( ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 )
| ~ ( v4_lattice3 @ SV53 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(668,plain,
! [SV48: $i] :
( ( ( v10_lattices @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV48 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV48 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(669,plain,
! [SV42: $i,SV11: $i,SV58: $i] :
( ( ( ~ ( m1_lattice4 @ SV58 @ SV11 @ SV42 ) )
= $true )
| ( ( ~ ( v3_lattice4 @ SV58 @ SV11 @ SV42 ) )
= $true )
| ( ( r1_filter_1 @ SV11 @ SV42 )
= $true )
| ( ( v10_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(670,plain,
! [SV11: $i,SV43: $i] :
( ( ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
| ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) )
= $false )
| ( ( r1_filter_1 @ SV11 @ SV43 )
= $false )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l3_lattices @ SV43 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(671,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(672,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(673,plain,
! [SV54: $i] :
( ( ( v3_conlat_1 @ SV54 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV54 ) )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(674,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(675,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(676,plain,
! [SV55: $i] :
( ( ( v3_conlat_1 @ SV55 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV55 ) )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(677,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(678,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v9_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(679,plain,
! [SV56: $i] :
( ( ( v3_conlat_1 @ SV56 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV56 ) )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(680,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(681,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(682,plain,
! [SV57: $i] :
( ( ( ( v3_struct_0 @ SV57 )
| ~ ( v10_lattices @ SV57 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV57 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(683,plain,
! [SV52: $i] :
( ( ( l3_lattices @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v10_lattices @ SV52 )
= $false )
| ( ( v7_lattices @ ( k1_lattice2 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(684,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(685,plain,
! [SV59: $i] :
( ( ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 )
| ~ ( v4_lattice3 @ SV59 )
| ~ ( l3_lattices @ SV59 )
| ( v6_lattices @ ( k1_lattice2 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(686,plain,
! [SV53: $i] :
( ( ( ( v3_struct_0 @ SV53 )
| ~ ( v10_lattices @ SV53 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV53 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(687,plain,
! [SV48: $i] :
( ( ( v4_lattice3 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v10_lattices @ SV48 )
= $false )
| ( ( ~ ( l3_lattices @ SV48 ) )
= $true )
| ( ( v8_lattices @ ( k1_lattice2 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(688,plain,
! [SV42: $i,SV11: $i,SV58: $i] :
( ( ( m1_lattice4 @ SV58 @ SV11 @ SV42 )
= $false )
| ( ( ~ ( v3_lattice4 @ SV58 @ SV11 @ SV42 ) )
= $true )
| ( ( r1_filter_1 @ SV11 @ SV42 )
= $true )
| ( ( v10_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(689,plain,
! [SV11: $i,SV43: $i] :
( ( ( ~ ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) )
= $false )
| ( ( r1_filter_1 @ SV11 @ SV43 )
= $false )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l3_lattices @ SV43 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(690,plain,
! [SV11: $i,SV43: $i] :
( ( ( ~ ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 ) )
= $false )
| ( ( r1_filter_1 @ SV11 @ SV43 )
= $false )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l3_lattices @ SV43 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[670]) ).
thf(691,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(692,plain,
! [SV60: $i] :
( ( ( v3_conlat_1 @ SV60 )
| ~ ( l2_conlat_1 @ SV60 )
| ( v5_lattices @ ( k11_conlat_1 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(693,plain,
! [SV54: $i] :
( ( ( l2_conlat_1 @ SV54 )
= $false )
| ( ( v3_conlat_1 @ SV54 )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(694,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(695,plain,
! [SV61: $i] :
( ( ( v3_conlat_1 @ SV61 )
| ~ ( l2_conlat_1 @ SV61 )
| ( v6_lattices @ ( k11_conlat_1 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(696,plain,
! [SV55: $i] :
( ( ( l2_conlat_1 @ SV55 )
= $false )
| ( ( v3_conlat_1 @ SV55 )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(697,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(698,plain,
! [SV62: $i] :
( ( ( v3_conlat_1 @ SV62 )
| ~ ( l2_conlat_1 @ SV62 )
| ( v9_lattices @ ( k11_conlat_1 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(699,plain,
! [SV56: $i] :
( ( ( l2_conlat_1 @ SV56 )
= $false )
| ( ( v3_conlat_1 @ SV56 )
= $true )
| ( ( v10_lattices @ ( k11_conlat_1 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(700,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(701,plain,
! [SV63: $i] :
( ( ( v3_struct_0 @ SV63 )
| ~ ( v10_lattices @ SV63 )
| ~ ( l3_lattices @ SV63 )
| ( v5_lattices @ ( k1_lattice2 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(702,plain,
! [SV57: $i] :
( ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( ~ ( v10_lattices @ SV57 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV57 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(703,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(704,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(705,plain,
! [SV59: $i] :
( ( ( ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 )
| ~ ( v4_lattice3 @ SV59 )
| ~ ( l3_lattices @ SV59 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(706,plain,
! [SV53: $i] :
( ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( ~ ( v10_lattices @ SV53 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV53 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(707,plain,
! [SV48: $i] :
( ( ( l3_lattices @ SV48 )
= $false )
| ( ( v10_lattices @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v4_lattice3 @ SV48 )
= $false )
| ( ( v8_lattices @ ( k1_lattice2 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(708,plain,
! [SV42: $i,SV11: $i,SV58: $i] :
( ( ( v3_lattice4 @ SV58 @ SV11 @ SV42 )
= $false )
| ( ( m1_lattice4 @ SV58 @ SV11 @ SV42 )
= $false )
| ( ( r1_filter_1 @ SV11 @ SV42 )
= $true )
| ( ( v10_lattices @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( l3_lattices @ SV42 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(709,plain,
! [SV11: $i,SV43: $i] :
( ( ( m1_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
= $true )
| ( ( r1_filter_1 @ SV11 @ SV43 )
= $false )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l3_lattices @ SV43 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(710,plain,
! [SV11: $i,SV43: $i] :
( ( ( v3_lattice4 @ ( sK7_C @ SV43 @ SV11 ) @ SV11 @ SV43 )
= $true )
| ( ( r1_filter_1 @ SV11 @ SV43 )
= $false )
| ( ( v10_lattices @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l3_lattices @ SV43 )
= $false )
| ( ( v10_lattices @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l3_lattices @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(711,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(712,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(713,plain,
! [SV60: $i] :
( ( ( ( v3_conlat_1 @ SV60 )
| ~ ( l2_conlat_1 @ SV60 ) )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(714,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(715,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(716,plain,
! [SV61: $i] :
( ( ( ( v3_conlat_1 @ SV61 )
| ~ ( l2_conlat_1 @ SV61 ) )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(717,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(718,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(719,plain,
! [SV62: $i] :
( ( ( ( v3_conlat_1 @ SV62 )
| ~ ( l2_conlat_1 @ SV62 ) )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(720,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(721,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(722,plain,
! [SV63: $i] :
( ( ( ( v3_struct_0 @ SV63 )
| ~ ( v10_lattices @ SV63 )
| ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(723,plain,
! [SV57: $i] :
( ( ( v10_lattices @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( ~ ( l3_lattices @ SV57 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(724,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(725,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v5_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(726,plain,
! [SV59: $i] :
( ( ( ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 )
| ~ ( v4_lattice3 @ SV59 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV59 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(727,plain,
! [SV53: $i] :
( ( ( v10_lattices @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV53 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(728,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(729,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(730,plain,
! [SV60: $i] :
( ( ( v3_conlat_1 @ SV60 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV60 ) )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(731,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(732,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(733,plain,
! [SV61: $i] :
( ( ( v3_conlat_1 @ SV61 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV61 ) )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(734,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(735,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v8_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(736,plain,
! [SV62: $i] :
( ( ( v3_conlat_1 @ SV62 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV62 ) )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(737,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(738,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(739,plain,
! [SV63: $i] :
( ( ( ( v3_struct_0 @ SV63 )
| ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(740,plain,
! [SV57: $i] :
( ( ( l3_lattices @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( v10_lattices @ SV57 )
= $false )
| ( ( v6_lattices @ ( k1_lattice2 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(741,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(742,plain,
! [SV64: $i] :
( ( ( v3_struct_0 @ SV64 )
| ~ ( v10_lattices @ SV64 )
| ~ ( v4_lattice3 @ SV64 )
| ~ ( l3_lattices @ SV64 )
| ( v5_lattices @ ( k1_lattice2 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(743,plain,
! [SV59: $i] :
( ( ( ( v3_struct_0 @ SV59 )
| ~ ( v10_lattices @ SV59 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV59 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV59 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(744,plain,
! [SV53: $i] :
( ( ( v4_lattice3 @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v10_lattices @ SV53 )
= $false )
| ( ( ~ ( l3_lattices @ SV53 ) )
= $true )
| ( ( v7_lattices @ ( k1_lattice2 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(745,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(746,plain,
! [SV65: $i] :
( ( ( v3_conlat_1 @ SV65 )
| ~ ( l2_conlat_1 @ SV65 )
| ( v4_lattices @ ( k11_conlat_1 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(747,plain,
! [SV60: $i] :
( ( ( l2_conlat_1 @ SV60 )
= $false )
| ( ( v3_conlat_1 @ SV60 )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(748,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(749,plain,
! [SV66: $i] :
( ( ( v3_conlat_1 @ SV66 )
| ~ ( l2_conlat_1 @ SV66 )
| ( v5_lattices @ ( k11_conlat_1 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(750,plain,
! [SV61: $i] :
( ( ( l2_conlat_1 @ SV61 )
= $false )
| ( ( v3_conlat_1 @ SV61 )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(751,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(752,plain,
! [SV67: $i] :
( ( ( v3_conlat_1 @ SV67 )
| ~ ( l2_conlat_1 @ SV67 )
| ( v8_lattices @ ( k11_conlat_1 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(753,plain,
! [SV62: $i] :
( ( ( l2_conlat_1 @ SV62 )
= $false )
| ( ( v3_conlat_1 @ SV62 )
= $true )
| ( ( v9_lattices @ ( k11_conlat_1 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(754,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(755,plain,
! [SV68: $i] :
( ( ( v3_struct_0 @ SV68 )
| ~ ( v10_lattices @ SV68 )
| ~ ( l3_lattices @ SV68 )
| ( v4_lattices @ ( k1_lattice2 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(756,plain,
! [SV63: $i] :
( ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(757,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(758,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(759,plain,
! [SV64: $i] :
( ( ( ( v3_struct_0 @ SV64 )
| ~ ( v10_lattices @ SV64 )
| ~ ( v4_lattice3 @ SV64 )
| ~ ( l3_lattices @ SV64 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(760,plain,
! [SV59: $i] :
( ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( ~ ( v10_lattices @ SV59 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV59 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV59 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(761,plain,
! [SV53: $i] :
( ( ( l3_lattices @ SV53 )
= $false )
| ( ( v10_lattices @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v4_lattice3 @ SV53 )
= $false )
| ( ( v7_lattices @ ( k1_lattice2 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(762,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(763,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(764,plain,
! [SV65: $i] :
( ( ( ( v3_conlat_1 @ SV65 )
| ~ ( l2_conlat_1 @ SV65 ) )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(765,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(766,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[748]) ).
thf(767,plain,
! [SV66: $i] :
( ( ( ( v3_conlat_1 @ SV66 )
| ~ ( l2_conlat_1 @ SV66 ) )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(768,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(769,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(770,plain,
! [SV67: $i] :
( ( ( ( v3_conlat_1 @ SV67 )
| ~ ( l2_conlat_1 @ SV67 ) )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(771,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(772,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(773,plain,
! [SV68: $i] :
( ( ( ( v3_struct_0 @ SV68 )
| ~ ( v10_lattices @ SV68 )
| ~ ( l3_lattices @ SV68 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(774,plain,
! [SV63: $i] :
( ( ( v10_lattices @ SV63 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(775,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(776,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v4_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(777,plain,
! [SV64: $i] :
( ( ( ( v3_struct_0 @ SV64 )
| ~ ( v10_lattices @ SV64 )
| ~ ( v4_lattice3 @ SV64 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV64 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(778,plain,
! [SV59: $i] :
( ( ( v10_lattices @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV59 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV59 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(779,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(780,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(781,plain,
! [SV65: $i] :
( ( ( v3_conlat_1 @ SV65 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV65 ) )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(782,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(783,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(784,plain,
! [SV66: $i] :
( ( ( v3_conlat_1 @ SV66 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV66 ) )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(785,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(786,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v7_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(787,plain,
! [SV67: $i] :
( ( ( v3_conlat_1 @ SV67 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV67 ) )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(788,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(789,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(790,plain,
! [SV68: $i] :
( ( ( ( v3_struct_0 @ SV68 )
| ~ ( v10_lattices @ SV68 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV68 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(791,plain,
! [SV63: $i] :
( ( ( l3_lattices @ SV63 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( v5_lattices @ ( k1_lattice2 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(792,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(793,plain,
! [SV69: $i] :
( ( ( v3_struct_0 @ SV69 )
| ~ ( v10_lattices @ SV69 )
| ~ ( v4_lattice3 @ SV69 )
| ~ ( l3_lattices @ SV69 )
| ( v4_lattices @ ( k1_lattice2 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(794,plain,
! [SV64: $i] :
( ( ( ( v3_struct_0 @ SV64 )
| ~ ( v10_lattices @ SV64 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV64 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV64 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(795,plain,
! [SV59: $i] :
( ( ( v4_lattice3 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v10_lattices @ SV59 )
= $false )
| ( ( ~ ( l3_lattices @ SV59 ) )
= $true )
| ( ( v6_lattices @ ( k1_lattice2 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(796,plain,
! [SV70: $i] :
( ( ( v3_conlat_1 @ SV70 )
| ~ ( l2_conlat_1 @ SV70 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(797,plain,
! [SV71: $i] :
( ( ( v3_conlat_1 @ SV71 )
| ~ ( l2_conlat_1 @ SV71 )
| ( v3_lattices @ ( k11_conlat_1 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(798,plain,
! [SV65: $i] :
( ( ( l2_conlat_1 @ SV65 )
= $false )
| ( ( v3_conlat_1 @ SV65 )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(799,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(800,plain,
! [SV72: $i] :
( ( ( v3_conlat_1 @ SV72 )
| ~ ( l2_conlat_1 @ SV72 )
| ( v4_lattices @ ( k11_conlat_1 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(801,plain,
! [SV66: $i] :
( ( ( l2_conlat_1 @ SV66 )
= $false )
| ( ( v3_conlat_1 @ SV66 )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(802,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(803,plain,
! [SV73: $i] :
( ( ( v3_conlat_1 @ SV73 )
| ~ ( l2_conlat_1 @ SV73 )
| ( v7_lattices @ ( k11_conlat_1 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(804,plain,
! [SV67: $i] :
( ( ( l2_conlat_1 @ SV67 )
= $false )
| ( ( v3_conlat_1 @ SV67 )
= $true )
| ( ( v8_lattices @ ( k11_conlat_1 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(805,plain,
! [SV74: $i] :
( ( ( v3_struct_0 @ SV74 )
| ~ ( v10_lattices @ SV74 )
| ~ ( l3_lattices @ SV74 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(806,plain,
! [SV75: $i] :
( ( ( v3_struct_0 @ SV75 )
| ~ ( v10_lattices @ SV75 )
| ~ ( l3_lattices @ SV75 )
| ( v3_lattices @ ( k1_lattice2 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(807,plain,
! [SV68: $i] :
( ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( ~ ( v10_lattices @ SV68 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV68 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(808,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[792]) ).
thf(809,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[792]) ).
thf(810,plain,
! [SV69: $i] :
( ( ( ( v3_struct_0 @ SV69 )
| ~ ( v10_lattices @ SV69 )
| ~ ( v4_lattice3 @ SV69 )
| ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(811,plain,
! [SV64: $i] :
( ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( ~ ( v10_lattices @ SV64 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV64 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV64 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(812,plain,
! [SV59: $i] :
( ( ( l3_lattices @ SV59 )
= $false )
| ( ( v10_lattices @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v4_lattice3 @ SV59 )
= $false )
| ( ( v6_lattices @ ( k1_lattice2 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(813,plain,
! [SV70: $i] :
( ( ( ( v3_conlat_1 @ SV70 )
| ~ ( l2_conlat_1 @ SV70 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(814,plain,
! [SV71: $i] :
( ( ( ( v3_conlat_1 @ SV71 )
| ~ ( l2_conlat_1 @ SV71 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(815,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(816,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(817,plain,
! [SV72: $i] :
( ( ( ( v3_conlat_1 @ SV72 )
| ~ ( l2_conlat_1 @ SV72 ) )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(818,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(819,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(820,plain,
! [SV73: $i] :
( ( ( ( v3_conlat_1 @ SV73 )
| ~ ( l2_conlat_1 @ SV73 ) )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(821,plain,
! [SV74: $i] :
( ( ( ( v3_struct_0 @ SV74 )
| ~ ( v10_lattices @ SV74 )
| ~ ( l3_lattices @ SV74 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(822,plain,
! [SV75: $i] :
( ( ( ( v3_struct_0 @ SV75 )
| ~ ( v10_lattices @ SV75 )
| ~ ( l3_lattices @ SV75 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(823,plain,
! [SV68: $i] :
( ( ( v10_lattices @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( ~ ( l3_lattices @ SV68 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(824,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(825,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v4_lattice3 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v3_lattices @ ( k1_lattice2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(826,plain,
! [SV69: $i] :
( ( ( ( v3_struct_0 @ SV69 )
| ~ ( v10_lattices @ SV69 )
| ~ ( v4_lattice3 @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(827,plain,
! [SV64: $i] :
( ( ( v10_lattices @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV64 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV64 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(828,plain,
! [SV70: $i] :
( ( ( v3_conlat_1 @ SV70 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV70 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(829,plain,
! [SV71: $i] :
( ( ( v3_conlat_1 @ SV71 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV71 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(830,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(831,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(832,plain,
! [SV72: $i] :
( ( ( v3_conlat_1 @ SV72 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV72 ) )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(833,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(834,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v6_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(835,plain,
! [SV73: $i] :
( ( ( v3_conlat_1 @ SV73 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV73 ) )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(836,plain,
! [SV74: $i] :
( ( ( ( v3_struct_0 @ SV74 )
| ~ ( v10_lattices @ SV74 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV74 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(837,plain,
! [SV75: $i] :
( ( ( ( v3_struct_0 @ SV75 )
| ~ ( v10_lattices @ SV75 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV75 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(838,plain,
! [SV68: $i] :
( ( ( l3_lattices @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( v10_lattices @ SV68 )
= $false )
| ( ( v4_lattices @ ( k1_lattice2 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(839,plain,
! [SV76: $i] :
( ( ( v3_struct_0 @ SV76 )
| ~ ( v10_lattices @ SV76 )
| ~ ( v4_lattice3 @ SV76 )
| ~ ( l3_lattices @ SV76 )
| ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(840,plain,
! [SV77: $i] :
( ( ( v3_struct_0 @ SV77 )
| ~ ( v10_lattices @ SV77 )
| ~ ( v4_lattice3 @ SV77 )
| ~ ( l3_lattices @ SV77 )
| ( v3_lattices @ ( k1_lattice2 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(841,plain,
! [SV69: $i] :
( ( ( ( v3_struct_0 @ SV69 )
| ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(842,plain,
! [SV64: $i] :
( ( ( v4_lattice3 @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( v10_lattices @ SV64 )
= $false )
| ( ( ~ ( l3_lattices @ SV64 ) )
= $true )
| ( ( v5_lattices @ ( k1_lattice2 @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(843,plain,
! [SV70: $i] :
( ( ( l2_conlat_1 @ SV70 )
= $false )
| ( ( v3_conlat_1 @ SV70 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(844,plain,
! [SV71: $i] :
( ( ( l2_conlat_1 @ SV71 )
= $false )
| ( ( v3_conlat_1 @ SV71 )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(845,plain,
! [SV78: $i] :
( ( ( v3_conlat_1 @ SV78 )
| ~ ( l2_conlat_1 @ SV78 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(846,plain,
! [SV79: $i] :
( ( ( v3_conlat_1 @ SV79 )
| ~ ( l2_conlat_1 @ SV79 )
| ( v3_lattices @ ( k11_conlat_1 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(847,plain,
! [SV72: $i] :
( ( ( l2_conlat_1 @ SV72 )
= $false )
| ( ( v3_conlat_1 @ SV72 )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(848,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(849,plain,
! [SV80: $i] :
( ( ( v3_conlat_1 @ SV80 )
| ~ ( l2_conlat_1 @ SV80 )
| ( v6_lattices @ ( k11_conlat_1 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(850,plain,
! [SV73: $i] :
( ( ( l2_conlat_1 @ SV73 )
= $false )
| ( ( v3_conlat_1 @ SV73 )
= $true )
| ( ( v7_lattices @ ( k11_conlat_1 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(851,plain,
! [SV74: $i] :
( ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( ~ ( v10_lattices @ SV74 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV74 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(852,plain,
! [SV75: $i] :
( ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( ~ ( v10_lattices @ SV75 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV75 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(853,plain,
! [SV76: $i] :
( ( ( ( v3_struct_0 @ SV76 )
| ~ ( v10_lattices @ SV76 )
| ~ ( v4_lattice3 @ SV76 )
| ~ ( l3_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(854,plain,
! [SV77: $i] :
( ( ( ( v3_struct_0 @ SV77 )
| ~ ( v10_lattices @ SV77 )
| ~ ( v4_lattice3 @ SV77 )
| ~ ( l3_lattices @ SV77 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(855,plain,
! [SV69: $i] :
( ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(856,plain,
! [SV64: $i] :
( ( ( l3_lattices @ SV64 )
= $false )
| ( ( v10_lattices @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( v4_lattice3 @ SV64 )
= $false )
| ( ( v5_lattices @ ( k1_lattice2 @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(857,plain,
! [SV70: $i] :
( ( ( v3_struct_0 @ ( k11_conlat_1 @ SV70 ) )
= $false )
| ( ( v3_conlat_1 @ SV70 )
= $true )
| ( ( l2_conlat_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(858,plain,
! [SV78: $i] :
( ( ( ( v3_conlat_1 @ SV78 )
| ~ ( l2_conlat_1 @ SV78 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(859,plain,
! [SV79: $i] :
( ( ( ( v3_conlat_1 @ SV79 )
| ~ ( l2_conlat_1 @ SV79 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(860,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[848]) ).
thf(861,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[848]) ).
thf(862,plain,
! [SV80: $i] :
( ( ( ( v3_conlat_1 @ SV80 )
| ~ ( l2_conlat_1 @ SV80 ) )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(863,plain,
! [SV74: $i] :
( ( ( v10_lattices @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( ~ ( l3_lattices @ SV74 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(864,plain,
! [SV75: $i] :
( ( ( v10_lattices @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( ~ ( l3_lattices @ SV75 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(865,plain,
! [SV76: $i] :
( ( ( ( v3_struct_0 @ SV76 )
| ~ ( v10_lattices @ SV76 )
| ~ ( v4_lattice3 @ SV76 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(866,plain,
! [SV77: $i] :
( ( ( ( v3_struct_0 @ SV77 )
| ~ ( v10_lattices @ SV77 )
| ~ ( v4_lattice3 @ SV77 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV77 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(867,plain,
! [SV69: $i] :
( ( ( v10_lattices @ SV69 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(868,plain,
! [SV78: $i] :
( ( ( v3_conlat_1 @ SV78 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV78 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(869,plain,
! [SV79: $i] :
( ( ( v3_conlat_1 @ SV79 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV79 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(870,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(871,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v5_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(872,plain,
! [SV80: $i] :
( ( ( v3_conlat_1 @ SV80 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV80 ) )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(873,plain,
! [SV74: $i] :
( ( ( l3_lattices @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v10_lattices @ SV74 )
= $false )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(874,plain,
! [SV75: $i] :
( ( ( l3_lattices @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v10_lattices @ SV75 )
= $false )
| ( ( v3_lattices @ ( k1_lattice2 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(875,plain,
! [SV76: $i] :
( ( ( ( v3_struct_0 @ SV76 )
| ~ ( v10_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV76 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(876,plain,
! [SV77: $i] :
( ( ( ( v3_struct_0 @ SV77 )
| ~ ( v10_lattices @ SV77 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV77 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV77 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(877,plain,
! [SV69: $i] :
( ( ( v4_lattice3 @ SV69 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( v10_lattices @ SV69 )
= $false )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( v4_lattices @ ( k1_lattice2 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(878,plain,
! [SV78: $i] :
( ( ( l2_conlat_1 @ SV78 )
= $false )
| ( ( v3_conlat_1 @ SV78 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(879,plain,
! [SV79: $i] :
( ( ( l2_conlat_1 @ SV79 )
= $false )
| ( ( v3_conlat_1 @ SV79 )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(880,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(881,plain,
! [SV81: $i] :
( ( ( v3_conlat_1 @ SV81 )
| ~ ( l2_conlat_1 @ SV81 )
| ( v5_lattices @ ( k11_conlat_1 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(882,plain,
! [SV80: $i] :
( ( ( l2_conlat_1 @ SV80 )
= $false )
| ( ( v3_conlat_1 @ SV80 )
= $true )
| ( ( v6_lattices @ ( k11_conlat_1 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(883,plain,
! [SV74: $i] :
( ( ( v3_struct_0 @ ( k1_lattice2 @ SV74 ) )
= $false )
| ( ( v10_lattices @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( l3_lattices @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(884,plain,
! [SV76: $i] :
( ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( ~ ( v10_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV76 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(885,plain,
! [SV77: $i] :
( ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( ~ ( v10_lattices @ SV77 ) )
= $true )
| ( ( ~ ( v4_lattice3 @ SV77 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV77 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(886,plain,
! [SV69: $i] :
( ( ( l3_lattices @ SV69 )
= $false )
| ( ( v10_lattices @ SV69 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( v4_lattice3 @ SV69 )
= $false )
| ( ( v4_lattices @ ( k1_lattice2 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(887,plain,
! [SV78: $i] :
( ( ( v3_struct_0 @ ( k11_conlat_1 @ SV78 ) )
= $false )
| ( ( v3_conlat_1 @ SV78 )
= $true )
| ( ( l2_conlat_1 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(888,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(889,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(890,plain,
! [SV81: $i] :
( ( ( ( v3_conlat_1 @ SV81 )
| ~ ( l2_conlat_1 @ SV81 ) )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(891,plain,
! [SV76: $i] :
( ( ( v10_lattices @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV76 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(892,plain,
! [SV77: $i] :
( ( ( v10_lattices @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( ~ ( v4_lattice3 @ SV77 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV77 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(893,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(894,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v4_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(895,plain,
! [SV81: $i] :
( ( ( v3_conlat_1 @ SV81 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV81 ) )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(896,plain,
! [SV76: $i] :
( ( ( v4_lattice3 @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( v10_lattices @ SV76 )
= $false )
| ( ( ~ ( l3_lattices @ SV76 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(897,plain,
! [SV77: $i] :
( ( ( v4_lattice3 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v10_lattices @ SV77 )
= $false )
| ( ( ~ ( l3_lattices @ SV77 ) )
= $true )
| ( ( v3_lattices @ ( k1_lattice2 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(898,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(899,plain,
! [SV82: $i] :
( ( ( v3_conlat_1 @ SV82 )
| ~ ( l2_conlat_1 @ SV82 )
| ( v4_lattices @ ( k11_conlat_1 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(900,plain,
! [SV81: $i] :
( ( ( l2_conlat_1 @ SV81 )
= $false )
| ( ( v3_conlat_1 @ SV81 )
= $true )
| ( ( v5_lattices @ ( k11_conlat_1 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(901,plain,
! [SV76: $i] :
( ( ( l3_lattices @ SV76 )
= $false )
| ( ( v10_lattices @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( v4_lattice3 @ SV76 )
= $false )
| ( ( ~ ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(902,plain,
! [SV77: $i] :
( ( ( l3_lattices @ SV77 )
= $false )
| ( ( v10_lattices @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v4_lattice3 @ SV77 )
= $false )
| ( ( v3_lattices @ ( k1_lattice2 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(903,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(904,plain,
( ( ~ ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(905,plain,
! [SV82: $i] :
( ( ( ( v3_conlat_1 @ SV82 )
| ~ ( l2_conlat_1 @ SV82 ) )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(906,plain,
! [SV76: $i] :
( ( ( v3_struct_0 @ ( k1_lattice2 @ SV76 ) )
= $false )
| ( ( v4_lattice3 @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( v10_lattices @ SV76 )
= $false )
| ( ( l3_lattices @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(907,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(908,plain,
( ( ! [SX0: $i] :
( ( v3_conlat_1 @ SX0 )
| ~ ( l2_conlat_1 @ SX0 )
| ( v3_lattices @ ( k11_conlat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(909,plain,
! [SV82: $i] :
( ( ( v3_conlat_1 @ SV82 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV82 ) )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(910,plain,
! [SV83: $i] :
( ( ( v3_conlat_1 @ SV83 )
| ~ ( l2_conlat_1 @ SV83 )
| ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(911,plain,
! [SV84: $i] :
( ( ( v3_conlat_1 @ SV84 )
| ~ ( l2_conlat_1 @ SV84 )
| ( v3_lattices @ ( k11_conlat_1 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(912,plain,
! [SV82: $i] :
( ( ( l2_conlat_1 @ SV82 )
= $false )
| ( ( v3_conlat_1 @ SV82 )
= $true )
| ( ( v4_lattices @ ( k11_conlat_1 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(913,plain,
! [SV83: $i] :
( ( ( ( v3_conlat_1 @ SV83 )
| ~ ( l2_conlat_1 @ SV83 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV83 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(914,plain,
! [SV84: $i] :
( ( ( ( v3_conlat_1 @ SV84 )
| ~ ( l2_conlat_1 @ SV84 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(915,plain,
! [SV83: $i] :
( ( ( v3_conlat_1 @ SV83 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV83 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV83 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[913]) ).
thf(916,plain,
! [SV84: $i] :
( ( ( v3_conlat_1 @ SV84 )
= $true )
| ( ( ~ ( l2_conlat_1 @ SV84 ) )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(917,plain,
! [SV83: $i] :
( ( ( l2_conlat_1 @ SV83 )
= $false )
| ( ( v3_conlat_1 @ SV83 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_conlat_1 @ SV83 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(918,plain,
! [SV84: $i] :
( ( ( l2_conlat_1 @ SV84 )
= $false )
| ( ( v3_conlat_1 @ SV84 )
= $true )
| ( ( v3_lattices @ ( k11_conlat_1 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(919,plain,
! [SV83: $i] :
( ( ( v3_struct_0 @ ( k11_conlat_1 @ SV83 ) )
= $false )
| ( ( v3_conlat_1 @ SV83 )
= $true )
| ( ( l2_conlat_1 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(920,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[172,919,918,912,906,902,900,887,886,883,882,879,874,857,856,850,847,844,838,812,804,801,798,791,761,753,750,747,740,710,709,708,707,699,696,693,683,649,641,638,635,626,592,587,583,580,577,567,547,542,535,529,519,517,514,511,509,498,469,466,465,456,455,443,438,437,433,432,430,427,424,419,409,405,404,340,339,338,313,308,307,305,299,298,273,272,217,216,188]) ).
thf(921,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n003.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 : Thu Jun 30 10:23:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.39 ..
% 0.19/0.44
% 0.19/0.44 No.of.Axioms: 101
% 0.19/0.44
% 0.19/0.44 Length.of.Defs: 0
% 0.19/0.44
% 0.19/0.44 Contains.Choice.Funs: false
% 0.19/0.47 ....
% 0.19/0.48 (rf:2,axioms:14,ps:3,u:5,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:103,loop_count:0,foatp_calls:0,translation:fof_full).....................................................................................................................ignored arguments false
% 80.79/80.98 ..
% 80.79/81.01 (rf:0,axioms:101,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:103,loop_count:0,foatp_calls:0,translation:fof_full).................................................................................................................................................eprover: CPU time limit exceeded, terminating
% 152.42/152.70 ...............
% 153.17/153.40 (rf:2,axioms:14,ps:0,u:1,ude:true,rLeibEQ:false,rAndEQ:false,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:103,loop_count:0,foatp_calls:0,translation:fof_full)...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................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% 227.88/228.13 (rf:-1,axioms:26,ps:0,u:1,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:103,loop_count:0,foatp_calls:0,translation:fof_full)..................................................................
% 228.26/228.46
% 228.26/228.46 ********************************
% 228.26/228.46 * All subproblems solved! *
% 228.26/228.46 ********************************
% 228.26/228.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:-1,axioms:28,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:77,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:920,loop_count:0,foatp_calls:1,translation:fof_full)
% 228.43/228.66
% 228.43/228.66 %**** Beginning of derivation protocol ****
% 228.43/228.66 % SZS output start CNFRefutation
% See solution above
% 228.43/228.66
% 228.43/228.66 %**** End of derivation protocol ****
% 228.43/228.66 %**** no. of clauses in derivation: 846 ****
% 228.43/228.66 %**** clause counter: 920 ****
% 228.43/228.66
% 228.43/228.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:-1,axioms:28,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:77,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:920,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------