TSTP Solution File: LAT292+1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT292+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 : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:45:42 EDT 2022
% Result : Theorem 0.44s 0.65s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 110
% Syntax : Number of formulae : 527 ( 253 unt; 79 typ; 0 def)
% Number of atoms : 4020 (1004 equ; 0 cnn)
% Maximal formula atoms : 9 ( 8 avg)
% Number of connectives : 5222 (1120 ~;1416 |; 184 &;2462 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 84 >; 0 *; 0 +; 0 <<)
% Number of symbols : 82 ( 79 usr; 15 con; 0-3 aty)
% Number of variables : 461 ( 0 ^ 433 !; 28 ?; 461 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_1_0_lopclset,type,
a_1_0_lopclset: $i > $i ).
thf(tp_g1_pre_topc,type,
g1_pre_topc: $i > $i > $i ).
thf(tp_g3_lattices,type,
g3_lattices: $i > $i > $i > $i ).
thf(tp_k11_lopclset,type,
k11_lopclset: $i > $i ).
thf(tp_k12_lopclset,type,
k12_lopclset: $i > $i ).
thf(tp_k1_lopclset,type,
k1_lopclset: $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_lopclset,type,
k4_lopclset: $i > $i ).
thf(tp_k5_lopclset,type,
k5_lopclset: $i > $i ).
thf(tp_k6_lopclset,type,
k6_lopclset: $i > $i ).
thf(tp_l1_lattices,type,
l1_lattices: $i > $o ).
thf(tp_l1_pre_topc,type,
l1_pre_topc: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_l2_lattices,type,
l2_lattices: $i > $o ).
thf(tp_l3_lattices,type,
l3_lattices: $i > $o ).
thf(tp_m1_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_sK10_A,type,
sK10_A: $i ).
thf(tp_sK11_A,type,
sK11_A: $i ).
thf(tp_sK12_A,type,
sK12_A: $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_A,type,
sK2_A: $i ).
thf(tp_sK3_A,type,
sK3_A: $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_A,type,
sK7_A: $i ).
thf(tp_sK8_A,type,
sK8_A: $i ).
thf(tp_sK9_A,type,
sK9_A: $i ).
thf(tp_u1_lattices,type,
u1_lattices: $i > $i ).
thf(tp_u1_pre_topc,type,
u1_pre_topc: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_u2_lattices,type,
u2_lattices: $i > $i ).
thf(tp_v10_lattices,type,
v10_lattices: $i > $o ).
thf(tp_v11_lattices,type,
v11_lattices: $i > $o ).
thf(tp_v12_lattices,type,
v12_lattices: $i > $o ).
thf(tp_v13_lattices,type,
v13_lattices: $i > $o ).
thf(tp_v14_lattices,type,
v14_lattices: $i > $o ).
thf(tp_v15_lattices,type,
v15_lattices: $i > $o ).
thf(tp_v16_lattices,type,
v16_lattices: $i > $o ).
thf(tp_v17_lattices,type,
v17_lattices: $i > $o ).
thf(tp_v1_finset_1,type,
v1_finset_1: $i > $o ).
thf(tp_v1_finsub_1,type,
v1_finsub_1: $i > $o ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_funct_2,type,
v1_funct_2: $i > $i > $i > $o ).
thf(tp_v1_int_1,type,
v1_int_1: $i > $o ).
thf(tp_v1_membered,type,
v1_membered: $i > $o ).
thf(tp_v1_partfun1,type,
v1_partfun1: $i > $i > $i > $o ).
thf(tp_v1_pre_topc,type,
v1_pre_topc: $i > $o ).
thf(tp_v1_rat_1,type,
v1_rat_1: $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
thf(tp_v1_xreal_0,type,
v1_xreal_0: $i > $o ).
thf(tp_v2_membered,type,
v2_membered: $i > $o ).
thf(tp_v2_pre_topc,type,
v2_pre_topc: $i > $o ).
thf(tp_v3_finsub_1,type,
v3_finsub_1: $i > $o ).
thf(tp_v3_lattices,type,
v3_lattices: $i > $o ).
thf(tp_v3_membered,type,
v3_membered: $i > $o ).
thf(tp_v3_pre_topc,type,
v3_pre_topc: $i > $i > $o ).
thf(tp_v3_realset2,type,
v3_realset2: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v4_finsub_1,type,
v4_finsub_1: $i > $o ).
thf(tp_v4_lattices,type,
v4_lattices: $i > $o ).
thf(tp_v4_membered,type,
v4_membered: $i > $o ).
thf(tp_v4_ordinal2,type,
v4_ordinal2: $i > $o ).
thf(tp_v4_pre_topc,type,
v4_pre_topc: $i > $i > $o ).
thf(tp_v5_lattices,type,
v5_lattices: $i > $o ).
thf(tp_v5_membered,type,
v5_membered: $i > $o ).
thf(tp_v6_lattices,type,
v6_lattices: $i > $o ).
thf(tp_v7_lattices,type,
v7_lattices: $i > $o ).
thf(tp_v8_lattices,type,
v8_lattices: $i > $o ).
thf(tp_v9_lattices,type,
v9_lattices: $i > $o ).
thf(1,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(6,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_lopclset) ).
thf(11,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/sandbox2/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
thf(13,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/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_filter_1) ).
thf(18,axiom,
? [A: $i] :
( ( l3_lattices @ A )
& ~ ( v3_struct_0 @ A )
& ( v3_lattices @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_lattices) ).
thf(21,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(22,axiom,
? [A: $i] :
( ( l3_lattices @ A )
& ( v3_lattices @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_lattices) ).
thf(24,axiom,
? [A: $i] :
( ( l1_pre_topc @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_pre_topc @ A )
& ( v2_pre_topc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_pre_topc) ).
thf(26,axiom,
? [A: $i] :
( ( l1_pre_topc @ A )
& ( v1_pre_topc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_pre_topc) ).
thf(30,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(39,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_lopclset @ A ) )
& ( v1_pre_topc @ ( k11_lopclset @ A ) )
& ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lopclset) ).
thf(41,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(42,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).
thf(48,axiom,
? [A: $i] : ( l3_lattices @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l3_lattices) ).
thf(49,axiom,
? [A: $i] : ( l2_lattices @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l2_lattices) ).
thf(50,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(51,axiom,
? [A: $i] : ( l1_pre_topc @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
thf(52,axiom,
? [A: $i] : ( l1_lattices @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_lattices) ).
thf(60,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
thf(61,axiom,
! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
thf(63,axiom,
! [A: $i] :
( ( l1_pre_topc @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
thf(64,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
thf(65,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ( ~ ( v3_struct_0 @ ( k6_lopclset @ A ) )
& ( v10_lattices @ ( k6_lopclset @ A ) )
& ( l3_lattices @ ( k6_lopclset @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lopclset) ).
thf(72,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k12_lopclset @ A ) )
& ( v10_lattices @ ( k12_lopclset @ A ) )
& ( l3_lattices @ ( k12_lopclset @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_lopclset) ).
thf(73,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( v1_pre_topc @ ( k11_lopclset @ A ) )
& ( v2_pre_topc @ ( k11_lopclset @ A ) )
& ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_lopclset) ).
thf(76,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( k12_lopclset @ A )
= ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lopclset) ).
thf(78,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_pre_topc @ A ) )
=> ( ( k1_lopclset @ A )
= ( a_1_0_lopclset @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lopclset) ).
thf(98,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(112,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] :
( ~ ( v3_struct_0 @ B )
& ( v2_pre_topc @ B )
& ( l1_pre_topc @ B )
& ( r1_filter_1 @ A @ ( k6_lopclset @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_lopclset) ).
thf(113,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] :
( ~ ( v3_struct_0 @ B )
& ( v2_pre_topc @ B )
& ( l1_pre_topc @ B )
& ( r1_filter_1 @ A @ ( k6_lopclset @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[112]) ).
thf(114,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ? [B: $i] :
( ~ ( v3_struct_0 @ B )
& ( v2_pre_topc @ B )
& ( l1_pre_topc @ B )
& ( r1_filter_1 @ A @ ( k6_lopclset @ B ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[113]) ).
thf(115,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(116,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(117,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(118,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(119,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(120,plain,
( ( ? [A: $i] : ( l2_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(121,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(122,plain,
( ( ? [A: $i] : ( l1_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(123,plain,
( ( ! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(124,plain,
( ( ! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(125,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(126,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(127,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)],[11]) ).
thf(128,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)],[13]) ).
thf(129,plain,
( ( ? [A: $i] :
( ( l3_lattices @ A )
& ~ ( v3_struct_0 @ A )
& ( v3_lattices @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(130,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(131,plain,
( ( ? [A: $i] :
( ( l3_lattices @ A )
& ( v3_lattices @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(132,plain,
( ( ? [A: $i] :
( ( l1_pre_topc @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_pre_topc @ A )
& ( v2_pre_topc @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(133,plain,
( ( ? [A: $i] :
( ( l1_pre_topc @ A )
& ( v1_pre_topc @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(134,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_lopclset @ A ) )
& ( v1_pre_topc @ ( k11_lopclset @ A ) )
& ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(135,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(136,plain,
( ( ? [A: $i] : ( l3_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(137,plain,
( ( ? [A: $i] : ( l1_pre_topc @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(138,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(139,plain,
( ( ! [A: $i] :
( ( l1_pre_topc @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(140,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ( ~ ( v3_struct_0 @ ( k6_lopclset @ A ) )
& ( v10_lattices @ ( k6_lopclset @ A ) )
& ( l3_lattices @ ( k6_lopclset @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(141,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k12_lopclset @ A ) )
& ( v10_lattices @ ( k12_lopclset @ A ) )
& ( l3_lattices @ ( k12_lopclset @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(142,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( v1_pre_topc @ ( k11_lopclset @ A ) )
& ( v2_pre_topc @ ( k11_lopclset @ A ) )
& ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(143,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ~ ( v3_realset2 @ A )
& ( l3_lattices @ A ) )
=> ( ( k12_lopclset @ A )
= ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(144,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_pre_topc @ A ) )
=> ( ( k1_lopclset @ A )
= ( a_1_0_lopclset @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(145,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( v10_lattices @ sK1_A )
& ( v17_lattices @ sK1_A )
& ~ ( v3_realset2 @ sK1_A )
& ( l3_lattices @ sK1_A ) )
=> ? [SY36: $i] :
( ~ ( v3_struct_0 @ SY36 )
& ( v2_pre_topc @ SY36 )
& ( l1_pre_topc @ SY36 )
& ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY36 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[114]) ).
thf(146,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[145]) ).
thf(147,plain,
( ( v10_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[145]) ).
thf(148,plain,
( ( v17_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[145]) ).
thf(149,plain,
( ( ~ ( v3_realset2 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[145]) ).
thf(150,plain,
( ( l3_lattices @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[145]) ).
thf(151,plain,
( ( ? [SY36: $i] :
( ~ ( v3_struct_0 @ SY36 )
& ( v2_pre_topc @ SY36 )
& ( l1_pre_topc @ SY36 )
& ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY36 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[145]) ).
thf(152,plain,
( ( ~ ? [SY36: $i] :
( ~ ( v3_struct_0 @ SY36 )
& ( v2_pre_topc @ SY36 )
& ( l1_pre_topc @ SY36 )
& ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY36 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[151]) ).
thf(153,plain,
( ( ! [SY36: $i] :
( ( v3_struct_0 @ SY36 )
| ~ ( v2_pre_topc @ SY36 )
| ~ ( l1_pre_topc @ SY36 )
| ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY36 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[152]) ).
thf(154,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[115]) ).
thf(155,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(156,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(157,plain,
( ( ~ ( v1_xboole_0 @ sK2_A )
& ( v1_finset_1 @ sK2_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(158,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(159,plain,
( ( l2_lattices @ sK3_A )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(160,plain,
( ( l1_struct_0 @ sK4_A )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(161,plain,
( ( l1_lattices @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(162,plain,
( ( ! [A: $i] :
( ~ ( l2_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(163,plain,
( ( ! [A: $i] :
( ~ ( l1_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(164,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_finset_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(165,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(166,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)],[127]) ).
thf(167,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)],[128]) ).
thf(168,plain,
( ( ( l3_lattices @ sK6_A )
& ~ ( v3_struct_0 @ sK6_A )
& ( v3_lattices @ sK6_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(169,plain,
( ( ( l1_struct_0 @ sK7_A )
& ~ ( v3_struct_0 @ sK7_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(170,plain,
( ( ( l3_lattices @ sK8_A )
& ( v3_lattices @ sK8_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(171,plain,
( ( ( l1_pre_topc @ sK9_A )
& ~ ( v3_struct_0 @ sK9_A )
& ( v1_pre_topc @ sK9_A )
& ( v2_pre_topc @ sK9_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[132]) ).
thf(172,plain,
( ( ( l1_pre_topc @ sK10_A )
& ( v1_pre_topc @ sK10_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(173,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(174,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[135]) ).
thf(175,plain,
( ( l3_lattices @ sK11_A )
= $true ),
inference(extcnf_combined,[status(esa)],[136]) ).
thf(176,plain,
( ( l1_pre_topc @ sK12_A )
= $true ),
inference(extcnf_combined,[status(esa)],[137]) ).
thf(177,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l1_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l2_lattices @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[138]) ).
thf(178,plain,
( ( ! [A: $i] :
( ~ ( l1_pre_topc @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[139]) ).
thf(179,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ~ ( v3_struct_0 @ ( k6_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ( v10_lattices @ ( k6_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ( l3_lattices @ ( k6_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(180,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k12_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v10_lattices @ ( k12_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( l3_lattices @ ( k12_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[141]) ).
thf(181,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v2_pre_topc @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(182,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( ( k12_lopclset @ A )
= ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[143]) ).
thf(183,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_pre_topc @ A )
| ( ( k1_lopclset @ A )
= ( a_1_0_lopclset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(184,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_pre_topc @ A )
| ( ( k1_lopclset @ A )
= ( a_1_0_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(185,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( ( k12_lopclset @ A )
= ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(186,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v2_pre_topc @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(187,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k12_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v10_lattices @ ( k12_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( l3_lattices @ ( k12_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(188,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ~ ( v3_struct_0 @ ( k6_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ( v10_lattices @ ( k6_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ( l3_lattices @ ( k6_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(189,plain,
( ( ! [A: $i] :
( ~ ( l1_pre_topc @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(190,plain,
( ( ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l1_lattices @ A ) )
& ! [A: $i] :
( ~ ( l3_lattices @ A )
| ( l2_lattices @ A ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(191,plain,
( ( l1_pre_topc @ sK12_A )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(192,plain,
( ( l3_lattices @ sK11_A )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(193,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_pre_topc @ A )
| ~ ( l1_pre_topc @ A )
| ~ ( v1_xboole_0 @ ( k1_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(194,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ~ ( v3_struct_0 @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v1_pre_topc @ ( k11_lopclset @ A ) ) )
& ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(195,plain,
( ( ( l1_pre_topc @ sK10_A )
& ( v1_pre_topc @ sK10_A ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(196,plain,
( ( ( l1_pre_topc @ sK9_A )
& ~ ( v3_struct_0 @ sK9_A )
& ( v1_pre_topc @ sK9_A )
& ( v2_pre_topc @ sK9_A ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(197,plain,
( ( ( l3_lattices @ sK8_A )
& ( v3_lattices @ sK8_A ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(198,plain,
( ( ( l1_struct_0 @ sK7_A )
& ~ ( v3_struct_0 @ sK7_A ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(199,plain,
( ( ( l3_lattices @ sK6_A )
& ~ ( v3_struct_0 @ sK6_A )
& ( v3_lattices @ sK6_A ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(200,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)],[167]) ).
thf(201,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)],[166]) ).
thf(202,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v10_lattices @ A )
| ~ ( v17_lattices @ A )
| ( v3_realset2 @ A )
| ~ ( l3_lattices @ A )
| ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(203,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_finset_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(204,plain,
( ( ! [A: $i] :
( ~ ( l1_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(205,plain,
( ( ! [A: $i] :
( ~ ( l2_lattices @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(206,plain,
( ( l1_lattices @ sK5_A )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(207,plain,
( ( l1_struct_0 @ sK4_A )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(208,plain,
( ( l2_lattices @ sK3_A )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(209,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(210,plain,
( ( ~ ( v1_xboole_0 @ sK2_A )
& ( v1_finset_1 @ sK2_A ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(211,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(212,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(213,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(214,plain,
( ( l3_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(215,plain,
( ( ~ ( v3_realset2 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(216,plain,
( ( v17_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(217,plain,
( ( v10_lattices @ sK1_A )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(218,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(219,plain,
( ( ! [SY36: $i] :
( ( v3_struct_0 @ SY36 )
| ~ ( v2_pre_topc @ SY36 )
| ~ ( l1_pre_topc @ SY36 )
| ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SY36 ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(220,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK7_A )
| ~ ~ ( v3_struct_0 @ sK7_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(221,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) )
| ~ ( v1_pre_topc @ sK9_A ) )
| ~ ( v2_pre_topc @ sK9_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(222,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK2_A )
| ~ ( v1_finset_1 @ sK2_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(223,plain,
( ( ~ ( ~ ( l3_lattices @ sK8_A )
| ~ ( v3_lattices @ sK8_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(224,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(225,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(226,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(227,plain,
( ( ~ ( ~ ~ ( ~ ( l3_lattices @ sK6_A )
| ~ ~ ( v3_struct_0 @ sK6_A ) )
| ~ ( v3_lattices @ sK6_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(228,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(229,plain,
( ( ~ ( ~ ( l1_pre_topc @ sK10_A )
| ~ ( v1_pre_topc @ sK10_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(230,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(231,plain,
! [SV1: $i] :
( ( ( v3_struct_0 @ SV1 )
| ~ ( l1_pre_topc @ SV1 )
| ( ( k1_lopclset @ SV1 )
= ( a_1_0_lopclset @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(232,plain,
! [SV2: $i] :
( ( ( v3_struct_0 @ SV2 )
| ~ ( v10_lattices @ SV2 )
| ~ ( v17_lattices @ SV2 )
| ( v3_realset2 @ SV2 )
| ~ ( l3_lattices @ SV2 )
| ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(233,plain,
! [SV3: $i] :
( ( ~ ( l1_pre_topc @ SV3 )
| ( l1_struct_0 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(234,plain,
! [SV4: $i] :
( ( ( v3_struct_0 @ SV4 )
| ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 )
| ~ ( v1_xboole_0 @ ( k1_lopclset @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(235,plain,
! [SV5: $i] :
( ( ! [SY37: $i] :
( ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 )
| ~ ( l3_lattices @ SV5 )
| ( v3_struct_0 @ SY37 )
| ~ ( v10_lattices @ SY37 )
| ~ ( l3_lattices @ SY37 ) )
| ( r1_filter_1 @ SV5 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(236,plain,
! [SV6: $i] :
( ( ! [SY38: $i] :
( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 )
| ( v3_struct_0 @ SY38 )
| ~ ( v10_lattices @ SY38 )
| ~ ( l3_lattices @ SY38 )
| ~ ( r1_filter_1 @ SV6 @ SY38 )
| ( r1_filter_1 @ SY38 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(237,plain,
! [SV7: $i] :
( ( ( v3_struct_0 @ SV7 )
| ~ ( v10_lattices @ SV7 )
| ~ ( v17_lattices @ SV7 )
| ( v3_realset2 @ SV7 )
| ~ ( l3_lattices @ SV7 )
| ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(238,plain,
! [SV8: $i] :
( ( ~ ( v1_xboole_0 @ SV8 )
| ( v1_finset_1 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(239,plain,
! [SV9: $i] :
( ( ~ ( l1_lattices @ SV9 )
| ( l1_struct_0 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(240,plain,
! [SV10: $i] :
( ( ~ ( l2_lattices @ SV10 )
| ( l1_struct_0 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(241,plain,
! [SV11: $i] :
( ( ( v3_struct_0 @ SV11 )
| ~ ( l1_struct_0 @ SV11 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(242,plain,
! [SV12: $i] :
( ( ~ ( v1_xboole_0 @ SV12 )
| ( SV12 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(243,plain,
! [SV13: $i] :
( ( ! [SY39: $i] :
( ~ ( r2_hidden @ SV13 @ SY39 )
| ~ ( v1_xboole_0 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(244,plain,
! [SV14: $i] :
( ( ! [SY40: $i] :
( ( SV14 = SY40 )
| ~ ( v1_xboole_0 @ SV14 )
| ~ ( v1_xboole_0 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(245,plain,
( ( v3_realset2 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(246,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(247,plain,
! [SV15: $i] :
( ( ( v3_struct_0 @ SV15 )
| ~ ( v2_pre_topc @ SV15 )
| ~ ( l1_pre_topc @ SV15 )
| ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(248,plain,
( ( ~ ( l1_struct_0 @ sK7_A )
| ~ ~ ( v3_struct_0 @ sK7_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(249,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) )
| ~ ( v1_pre_topc @ sK9_A ) )
| ~ ( v2_pre_topc @ sK9_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(250,plain,
( ( ~ ~ ( v1_xboole_0 @ sK2_A )
| ~ ( v1_finset_1 @ sK2_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(251,plain,
( ( ~ ( l3_lattices @ sK8_A )
| ~ ( v3_lattices @ sK8_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(252,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(253,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(254,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(255,plain,
( ( ~ ~ ( ~ ( l3_lattices @ sK6_A )
| ~ ~ ( v3_struct_0 @ sK6_A ) )
| ~ ( v3_lattices @ sK6_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(256,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(257,plain,
( ( ~ ( l1_pre_topc @ sK10_A )
| ~ ( v1_pre_topc @ sK10_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(258,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(259,plain,
! [SV1: $i] :
( ( ( ( v3_struct_0 @ SV1 )
| ~ ( l1_pre_topc @ SV1 ) )
= $true )
| ( ( ( k1_lopclset @ SV1 )
= ( a_1_0_lopclset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(260,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v10_lattices @ SV2 )
| ~ ( v17_lattices @ SV2 )
| ( v3_realset2 @ SV2 )
| ~ ( l3_lattices @ SV2 ) )
= $true )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(261,plain,
! [SV3: $i] :
( ( ( ~ ( l1_pre_topc @ SV3 ) )
= $true )
| ( ( l1_struct_0 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(262,plain,
! [SV4: $i] :
( ( ( ( v3_struct_0 @ SV4 )
| ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(263,plain,
! [SV5: $i] :
( ( ( ! [SY37: $i] :
( ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 )
| ~ ( l3_lattices @ SV5 )
| ( v3_struct_0 @ SY37 )
| ~ ( v10_lattices @ SY37 )
| ~ ( l3_lattices @ SY37 ) ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(264,plain,
! [SV16: $i,SV6: $i] :
( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 )
| ( v3_struct_0 @ SV16 )
| ~ ( v10_lattices @ SV16 )
| ~ ( l3_lattices @ SV16 )
| ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(265,plain,
! [SV7: $i] :
( ( ( ( v3_struct_0 @ SV7 )
| ~ ( v10_lattices @ SV7 )
| ~ ( v17_lattices @ SV7 )
| ( v3_realset2 @ SV7 )
| ~ ( l3_lattices @ SV7 ) )
= $true )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(266,plain,
! [SV8: $i] :
( ( ( ~ ( v1_xboole_0 @ SV8 ) )
= $true )
| ( ( v1_finset_1 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(267,plain,
! [SV9: $i] :
( ( ( ~ ( l1_lattices @ SV9 ) )
= $true )
| ( ( l1_struct_0 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(268,plain,
! [SV10: $i] :
( ( ( ~ ( l2_lattices @ SV10 ) )
= $true )
| ( ( l1_struct_0 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(269,plain,
! [SV11: $i] :
( ( ( ( v3_struct_0 @ SV11 )
| ~ ( l1_struct_0 @ SV11 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(270,plain,
! [SV12: $i] :
( ( ( ~ ( v1_xboole_0 @ SV12 ) )
= $true )
| ( ( SV12 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(271,plain,
! [SV17: $i,SV13: $i] :
( ( ~ ( r2_hidden @ SV13 @ SV17 )
| ~ ( v1_xboole_0 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(272,plain,
! [SV18: $i,SV14: $i] :
( ( ( SV14 = SV18 )
| ~ ( v1_xboole_0 @ SV14 )
| ~ ( v1_xboole_0 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(273,plain,
! [SV15: $i] :
( ( ( ( v3_struct_0 @ SV15 )
| ~ ( v2_pre_topc @ SV15 )
| ~ ( l1_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(274,plain,
( ( ~ ( l1_struct_0 @ sK7_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(275,plain,
( ( ~ ~ ( v3_struct_0 @ sK7_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(276,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) )
| ~ ( v1_pre_topc @ sK9_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(277,plain,
( ( ~ ( v2_pre_topc @ sK9_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(278,plain,
( ( ~ ~ ( v1_xboole_0 @ sK2_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(279,plain,
( ( ~ ( v1_finset_1 @ sK2_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(280,plain,
( ( ~ ( l3_lattices @ sK8_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(281,plain,
( ( ~ ( v3_lattices @ sK8_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(282,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(283,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(284,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(285,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(286,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(287,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(288,plain,
( ( ~ ~ ( ~ ( l3_lattices @ sK6_A )
| ~ ~ ( v3_struct_0 @ sK6_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(289,plain,
( ( ~ ( v3_lattices @ sK6_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(290,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(291,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(292,plain,
( ( ~ ( l1_pre_topc @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(293,plain,
( ( ~ ( v1_pre_topc @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(294,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(295,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(296,plain,
! [SV1: $i] :
( ( ( v3_struct_0 @ SV1 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV1 ) )
= $true )
| ( ( ( k1_lopclset @ SV1 )
= ( a_1_0_lopclset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(297,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v10_lattices @ SV2 )
| ~ ( v17_lattices @ SV2 )
| ( v3_realset2 @ SV2 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV2 ) )
= $true )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(298,plain,
! [SV3: $i] :
( ( ( l1_pre_topc @ SV3 )
= $false )
| ( ( l1_struct_0 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(299,plain,
! [SV4: $i] :
( ( ( ( v3_struct_0 @ SV4 )
| ~ ( v2_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(300,plain,
! [SV19: $i,SV5: $i] :
( ( ( ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 )
| ~ ( l3_lattices @ SV5 )
| ( v3_struct_0 @ SV19 )
| ~ ( v10_lattices @ SV19 )
| ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(301,plain,
! [SV16: $i,SV6: $i] :
( ( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 )
| ( v3_struct_0 @ SV16 )
| ~ ( v10_lattices @ SV16 )
| ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(302,plain,
! [SV7: $i] :
( ( ( ( v3_struct_0 @ SV7 )
| ~ ( v10_lattices @ SV7 )
| ~ ( v17_lattices @ SV7 )
| ( v3_realset2 @ SV7 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV7 ) )
= $true )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(303,plain,
! [SV8: $i] :
( ( ( v1_xboole_0 @ SV8 )
= $false )
| ( ( v1_finset_1 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(304,plain,
! [SV9: $i] :
( ( ( l1_lattices @ SV9 )
= $false )
| ( ( l1_struct_0 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(305,plain,
! [SV10: $i] :
( ( ( l2_lattices @ SV10 )
= $false )
| ( ( l1_struct_0 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(306,plain,
! [SV11: $i] :
( ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV11 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(307,plain,
! [SV12: $i] :
( ( ( v1_xboole_0 @ SV12 )
= $false )
| ( ( SV12 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(308,plain,
! [SV17: $i,SV13: $i] :
( ( ( ~ ( r2_hidden @ SV13 @ SV17 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(309,plain,
! [SV18: $i,SV14: $i] :
( ( ( ( SV14 = SV18 )
| ~ ( v1_xboole_0 @ SV14 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(310,plain,
! [SV15: $i] :
( ( ( ( v3_struct_0 @ SV15 )
| ~ ( v2_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(311,plain,
( ( l1_struct_0 @ sK7_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(312,plain,
( ( ~ ( v3_struct_0 @ sK7_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(313,plain,
( ( ~ ( ~ ~ ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) )
| ~ ( v1_pre_topc @ sK9_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(314,plain,
( ( v2_pre_topc @ sK9_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(315,plain,
( ( ~ ( v1_xboole_0 @ sK2_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(316,plain,
( ( v1_finset_1 @ sK2_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(317,plain,
( ( l3_lattices @ sK8_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(318,plain,
( ( v3_lattices @ sK8_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(319,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l1_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(320,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ( l2_lattices @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(321,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(322,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(323,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(324,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l3_lattices @ ( k12_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(325,plain,
( ( ~ ( ~ ( l3_lattices @ sK6_A )
| ~ ~ ( v3_struct_0 @ sK6_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(326,plain,
( ( v3_lattices @ sK6_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(327,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(328,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( l1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(329,plain,
( ( l1_pre_topc @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(330,plain,
( ( v1_pre_topc @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(331,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(332,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( l3_lattices @ ( k6_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(333,plain,
! [SV1: $i] :
( ( ( l1_pre_topc @ SV1 )
= $false )
| ( ( v3_struct_0 @ SV1 )
= $true )
| ( ( ( k1_lopclset @ SV1 )
= ( a_1_0_lopclset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(334,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v10_lattices @ SV2 )
| ~ ( v17_lattices @ SV2 ) )
= $true )
| ( ( v3_realset2 @ SV2 )
= $true )
| ( ( ~ ( l3_lattices @ SV2 ) )
= $true )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(335,plain,
! [SV4: $i] :
( ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( ~ ( v2_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(336,plain,
! [SV19: $i,SV5: $i] :
( ( ( ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 )
| ~ ( l3_lattices @ SV5 )
| ( v3_struct_0 @ SV19 )
| ~ ( v10_lattices @ SV19 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(337,plain,
! [SV16: $i,SV6: $i] :
( ( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 )
| ( v3_struct_0 @ SV16 )
| ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(338,plain,
! [SV7: $i] :
( ( ( ( v3_struct_0 @ SV7 )
| ~ ( v10_lattices @ SV7 )
| ~ ( v17_lattices @ SV7 ) )
= $true )
| ( ( v3_realset2 @ SV7 )
= $true )
| ( ( ~ ( l3_lattices @ SV7 ) )
= $true )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(339,plain,
! [SV11: $i] :
( ( ( l1_struct_0 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(340,plain,
! [SV17: $i,SV13: $i] :
( ( ( r2_hidden @ SV13 @ SV17 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(341,plain,
! [SV18: $i,SV14: $i] :
( ( ( SV14 = SV18 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV14 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(342,plain,
! [SV15: $i] :
( ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v2_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(343,plain,
( ( v3_struct_0 @ sK7_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(344,plain,
( ( ~ ~ ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) )
| ~ ( v1_pre_topc @ sK9_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(345,plain,
( ( v1_xboole_0 @ sK2_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(346,plain,
! [SV20: $i] :
( ( ~ ( l3_lattices @ SV20 )
| ( l1_lattices @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(347,plain,
! [SV21: $i] :
( ( ~ ( l3_lattices @ SV21 )
| ( l2_lattices @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(348,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(349,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 )
| ~ ( v17_lattices @ SV22 )
| ( v3_realset2 @ SV22 )
| ~ ( l3_lattices @ SV22 )
| ( v2_pre_topc @ ( k11_lopclset @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(350,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(351,plain,
! [SV23: $i] :
( ( ( v3_struct_0 @ SV23 )
| ~ ( v10_lattices @ SV23 )
| ~ ( v17_lattices @ SV23 )
| ( v3_realset2 @ SV23 )
| ~ ( l3_lattices @ SV23 )
| ( l3_lattices @ ( k12_lopclset @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(352,plain,
( ( ~ ( l3_lattices @ sK6_A )
| ~ ~ ( v3_struct_0 @ sK6_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(353,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(354,plain,
! [SV24: $i] :
( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( v17_lattices @ SV24 )
| ( v3_realset2 @ SV24 )
| ~ ( l3_lattices @ SV24 )
| ( l1_pre_topc @ ( k11_lopclset @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(355,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(356,plain,
! [SV25: $i] :
( ( ( v3_struct_0 @ SV25 )
| ~ ( v2_pre_topc @ SV25 )
| ~ ( l1_pre_topc @ SV25 )
| ( l3_lattices @ ( k6_lopclset @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(357,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v10_lattices @ SV2 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV2 ) )
= $true )
| ( ( v3_realset2 @ SV2 )
= $true )
| ( ( ~ ( l3_lattices @ SV2 ) )
= $true )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(358,plain,
! [SV4: $i] :
( ( ( v2_pre_topc @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(359,plain,
! [SV19: $i,SV5: $i] :
( ( ( ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 )
| ~ ( l3_lattices @ SV5 )
| ( v3_struct_0 @ SV19 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV19 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(360,plain,
! [SV16: $i,SV6: $i] :
( ( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 )
| ( v3_struct_0 @ SV16 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(361,plain,
! [SV7: $i] :
( ( ( ( v3_struct_0 @ SV7 )
| ~ ( v10_lattices @ SV7 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV7 ) )
= $true )
| ( ( v3_realset2 @ SV7 )
= $true )
| ( ( ~ ( l3_lattices @ SV7 ) )
= $true )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(362,plain,
! [SV11: $i] :
( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV11 ) )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( l1_struct_0 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(363,plain,
! [SV13: $i,SV17: $i] :
( ( ( v1_xboole_0 @ SV17 )
= $false )
| ( ( r2_hidden @ SV13 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(364,plain,
! [SV18: $i,SV14: $i] :
( ( ( v1_xboole_0 @ SV14 )
= $false )
| ( ( SV14 = SV18 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(365,plain,
! [SV15: $i] :
( ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(366,plain,
( ( ~ ~ ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(367,plain,
( ( ~ ( v1_pre_topc @ sK9_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(368,plain,
! [SV20: $i] :
( ( ( ~ ( l3_lattices @ SV20 ) )
= $true )
| ( ( l1_lattices @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(369,plain,
! [SV21: $i] :
( ( ( ~ ( l3_lattices @ SV21 ) )
= $true )
| ( ( l2_lattices @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(370,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(371,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(372,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 )
| ~ ( v17_lattices @ SV22 )
| ( v3_realset2 @ SV22 )
| ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(373,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(374,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(375,plain,
! [SV23: $i] :
( ( ( ( v3_struct_0 @ SV23 )
| ~ ( v10_lattices @ SV23 )
| ~ ( v17_lattices @ SV23 )
| ( v3_realset2 @ SV23 )
| ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(376,plain,
( ( ~ ( l3_lattices @ sK6_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(377,plain,
( ( ~ ~ ( v3_struct_0 @ sK6_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(378,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(379,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(380,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( v17_lattices @ SV24 )
| ( v3_realset2 @ SV24 )
| ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(381,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(382,plain,
( ( ~ ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(383,plain,
! [SV25: $i] :
( ( ( ( v3_struct_0 @ SV25 )
| ~ ( v2_pre_topc @ SV25 )
| ~ ( l1_pre_topc @ SV25 ) )
= $true )
| ( ( l3_lattices @ ( k6_lopclset @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(384,plain,
! [SV2: $i] :
( ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( ~ ( v10_lattices @ SV2 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV2 ) )
= $true )
| ( ( v3_realset2 @ SV2 )
= $true )
| ( ( ~ ( l3_lattices @ SV2 ) )
= $true )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(385,plain,
! [SV4: $i] :
( ( ( l1_pre_topc @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v2_pre_topc @ SV4 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k1_lopclset @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(386,plain,
! [SV19: $i,SV5: $i] :
( ( ( ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 )
| ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v10_lattices @ SV19 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(387,plain,
! [SV16: $i,SV6: $i] :
( ( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 )
| ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(388,plain,
! [SV7: $i] :
( ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( ~ ( v10_lattices @ SV7 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV7 ) )
= $true )
| ( ( v3_realset2 @ SV7 )
= $true )
| ( ( ~ ( l3_lattices @ SV7 ) )
= $true )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(389,plain,
! [SV14: $i,SV18: $i] :
( ( ( v1_xboole_0 @ SV18 )
= $false )
| ( ( SV14 = SV18 )
= $true )
| ( ( v1_xboole_0 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(390,plain,
! [SV15: $i] :
( ( ( l1_pre_topc @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( ~ ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(391,plain,
( ( ~ ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(392,plain,
( ( v1_pre_topc @ sK9_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(393,plain,
! [SV20: $i] :
( ( ( l3_lattices @ SV20 )
= $false )
| ( ( l1_lattices @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(394,plain,
! [SV21: $i] :
( ( ( l3_lattices @ SV21 )
= $false )
| ( ( l2_lattices @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(395,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(396,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(397,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 )
| ~ ( v17_lattices @ SV22 )
| ( v3_realset2 @ SV22 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(398,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(399,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v10_lattices @ ( k12_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(400,plain,
! [SV23: $i] :
( ( ( ( v3_struct_0 @ SV23 )
| ~ ( v10_lattices @ SV23 )
| ~ ( v17_lattices @ SV23 )
| ( v3_realset2 @ SV23 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(401,plain,
( ( l3_lattices @ sK6_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(402,plain,
( ( ~ ( v3_struct_0 @ sK6_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(403,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v1_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(404,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 )
| ~ ( v17_lattices @ SX0 )
| ( v3_realset2 @ SX0 )
| ~ ( l3_lattices @ SX0 )
| ( v2_pre_topc @ ( k11_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(405,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( v17_lattices @ SV24 )
| ( v3_realset2 @ SV24 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(406,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(407,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 )
| ( v10_lattices @ ( k6_lopclset @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(408,plain,
! [SV25: $i] :
( ( ( ( v3_struct_0 @ SV25 )
| ~ ( v2_pre_topc @ SV25 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV25 ) )
= $true )
| ( ( l3_lattices @ ( k6_lopclset @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(409,plain,
! [SV2: $i] :
( ( ( v10_lattices @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( ~ ( v17_lattices @ SV2 ) )
= $true )
| ( ( v3_realset2 @ SV2 )
= $true )
| ( ( ~ ( l3_lattices @ SV2 ) )
= $true )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(410,plain,
! [SV4: $i] :
( ( ( v1_xboole_0 @ ( k1_lopclset @ SV4 ) )
= $false )
| ( ( v2_pre_topc @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( l1_pre_topc @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(411,plain,
! [SV19: $i,SV5: $i] :
( ( ( ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v10_lattices @ SV19 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(412,plain,
! [SV16: $i,SV6: $i] :
( ( ( ( v3_struct_0 @ SV6 )
| ~ ( v10_lattices @ SV6 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(413,plain,
! [SV7: $i] :
( ( ( v10_lattices @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( ~ ( v17_lattices @ SV7 ) )
= $true )
| ( ( v3_realset2 @ SV7 )
= $true )
| ( ( ~ ( l3_lattices @ SV7 ) )
= $true )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(414,plain,
! [SV15: $i] :
( ( ( r1_filter_1 @ sK1_A @ ( k6_lopclset @ SV15 ) )
= $false )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(415,plain,
( ( ~ ( l1_pre_topc @ sK9_A )
| ~ ~ ( v3_struct_0 @ sK9_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(416,plain,
! [SV26: $i] :
( ( ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 )
| ~ ( v17_lattices @ SV26 )
| ( v3_realset2 @ SV26 )
| ~ ( l3_lattices @ SV26 )
| ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(417,plain,
! [SV27: $i] :
( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 )
| ( v3_realset2 @ SV27 )
| ~ ( l3_lattices @ SV27 )
| ( v1_pre_topc @ ( k11_lopclset @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(418,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 )
| ~ ( v17_lattices @ SV22 ) )
= $true )
| ( ( v3_realset2 @ SV22 )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(419,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 )
| ( v3_realset2 @ SV28 )
| ~ ( l3_lattices @ SV28 )
| ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(420,plain,
! [SV29: $i] :
( ( ( v3_struct_0 @ SV29 )
| ~ ( v10_lattices @ SV29 )
| ~ ( v17_lattices @ SV29 )
| ( v3_realset2 @ SV29 )
| ~ ( l3_lattices @ SV29 )
| ( v10_lattices @ ( k12_lopclset @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(421,plain,
! [SV23: $i] :
( ( ( ( v3_struct_0 @ SV23 )
| ~ ( v10_lattices @ SV23 )
| ~ ( v17_lattices @ SV23 ) )
= $true )
| ( ( v3_realset2 @ SV23 )
= $true )
| ( ( ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(422,plain,
( ( v3_struct_0 @ sK6_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(423,plain,
! [SV30: $i] :
( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 )
| ( v3_realset2 @ SV30 )
| ~ ( l3_lattices @ SV30 )
| ( v1_pre_topc @ ( k11_lopclset @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(424,plain,
! [SV31: $i] :
( ( ( v3_struct_0 @ SV31 )
| ~ ( v10_lattices @ SV31 )
| ~ ( v17_lattices @ SV31 )
| ( v3_realset2 @ SV31 )
| ~ ( l3_lattices @ SV31 )
| ( v2_pre_topc @ ( k11_lopclset @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(425,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 )
| ~ ( v17_lattices @ SV24 ) )
= $true )
| ( ( v3_realset2 @ SV24 )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(426,plain,
! [SV32: $i] :
( ( ( v3_struct_0 @ SV32 )
| ~ ( v2_pre_topc @ SV32 )
| ~ ( l1_pre_topc @ SV32 )
| ~ ( v3_struct_0 @ ( k6_lopclset @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(427,plain,
! [SV33: $i] :
( ( ( v3_struct_0 @ SV33 )
| ~ ( v2_pre_topc @ SV33 )
| ~ ( l1_pre_topc @ SV33 )
| ( v10_lattices @ ( k6_lopclset @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(428,plain,
! [SV25: $i] :
( ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( ~ ( v2_pre_topc @ SV25 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV25 ) )
= $true )
| ( ( l3_lattices @ ( k6_lopclset @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(429,plain,
! [SV2: $i] :
( ( ( v17_lattices @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v10_lattices @ SV2 )
= $false )
| ( ( v3_realset2 @ SV2 )
= $true )
| ( ( ~ ( l3_lattices @ SV2 ) )
= $true )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(430,plain,
! [SV19: $i,SV5: $i] :
( ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( ~ ( v10_lattices @ SV5 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v10_lattices @ SV19 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(431,plain,
! [SV16: $i,SV6: $i] :
( ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( v10_lattices @ SV6 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(432,plain,
! [SV7: $i] :
( ( ( v17_lattices @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v10_lattices @ SV7 )
= $false )
| ( ( v3_realset2 @ SV7 )
= $true )
| ( ( ~ ( l3_lattices @ SV7 ) )
= $true )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(433,plain,
( ( ~ ( l1_pre_topc @ sK9_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(434,plain,
( ( ~ ~ ( v3_struct_0 @ sK9_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(435,plain,
! [SV26: $i] :
( ( ( ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 )
| ~ ( v17_lattices @ SV26 )
| ( v3_realset2 @ SV26 )
| ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(436,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 )
| ( v3_realset2 @ SV27 )
| ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(437,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v10_lattices @ SV22 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV22 ) )
= $true )
| ( ( v3_realset2 @ SV22 )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(438,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 )
| ( v3_realset2 @ SV28 )
| ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(439,plain,
! [SV29: $i] :
( ( ( ( v3_struct_0 @ SV29 )
| ~ ( v10_lattices @ SV29 )
| ~ ( v17_lattices @ SV29 )
| ( v3_realset2 @ SV29 )
| ~ ( l3_lattices @ SV29 ) )
= $true )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(440,plain,
! [SV23: $i] :
( ( ( ( v3_struct_0 @ SV23 )
| ~ ( v10_lattices @ SV23 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV23 ) )
= $true )
| ( ( v3_realset2 @ SV23 )
= $true )
| ( ( ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(441,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 )
| ( v3_realset2 @ SV30 )
| ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(442,plain,
! [SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v10_lattices @ SV31 )
| ~ ( v17_lattices @ SV31 )
| ( v3_realset2 @ SV31 )
| ~ ( l3_lattices @ SV31 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(443,plain,
! [SV24: $i] :
( ( ( ( v3_struct_0 @ SV24 )
| ~ ( v10_lattices @ SV24 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV24 ) )
= $true )
| ( ( v3_realset2 @ SV24 )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(444,plain,
! [SV32: $i] :
( ( ( ( v3_struct_0 @ SV32 )
| ~ ( v2_pre_topc @ SV32 )
| ~ ( l1_pre_topc @ SV32 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(445,plain,
! [SV33: $i] :
( ( ( ( v3_struct_0 @ SV33 )
| ~ ( v2_pre_topc @ SV33 )
| ~ ( l1_pre_topc @ SV33 ) )
= $true )
| ( ( v10_lattices @ ( k6_lopclset @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(446,plain,
! [SV25: $i] :
( ( ( v2_pre_topc @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV25 ) )
= $true )
| ( ( l3_lattices @ ( k6_lopclset @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(447,plain,
! [SV2: $i] :
( ( ( l3_lattices @ SV2 )
= $false )
| ( ( v3_realset2 @ SV2 )
= $true )
| ( ( v10_lattices @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v17_lattices @ SV2 )
= $false )
| ( ( ( k12_lopclset @ SV2 )
= ( k6_lopclset @ ( k11_lopclset @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(448,plain,
! [SV19: $i,SV5: $i] :
( ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v10_lattices @ SV19 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(449,plain,
! [SV16: $i,SV6: $i] :
( ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( l3_lattices @ SV6 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(450,plain,
! [SV7: $i] :
( ( ( l3_lattices @ SV7 )
= $false )
| ( ( v3_realset2 @ SV7 )
= $true )
| ( ( v10_lattices @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v17_lattices @ SV7 )
= $false )
| ( ( r1_filter_1 @ SV7 @ ( k12_lopclset @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(451,plain,
( ( l1_pre_topc @ sK9_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(452,plain,
( ( ~ ( v3_struct_0 @ sK9_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(453,plain,
! [SV26: $i] :
( ( ( ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 )
| ~ ( v17_lattices @ SV26 )
| ( v3_realset2 @ SV26 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(454,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 )
| ( v3_realset2 @ SV27 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(455,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v10_lattices @ SV22 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV22 ) )
= $true )
| ( ( v3_realset2 @ SV22 )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(456,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 )
| ( v3_realset2 @ SV28 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(457,plain,
! [SV29: $i] :
( ( ( ( v3_struct_0 @ SV29 )
| ~ ( v10_lattices @ SV29 )
| ~ ( v17_lattices @ SV29 )
| ( v3_realset2 @ SV29 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV29 ) )
= $true )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(458,plain,
! [SV23: $i] :
( ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( ~ ( v10_lattices @ SV23 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV23 ) )
= $true )
| ( ( v3_realset2 @ SV23 )
= $true )
| ( ( ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(459,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 )
| ( v3_realset2 @ SV30 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(460,plain,
! [SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v10_lattices @ SV31 )
| ~ ( v17_lattices @ SV31 )
| ( v3_realset2 @ SV31 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV31 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(461,plain,
! [SV24: $i] :
( ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( v10_lattices @ SV24 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV24 ) )
= $true )
| ( ( v3_realset2 @ SV24 )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(462,plain,
! [SV32: $i] :
( ( ( ( v3_struct_0 @ SV32 )
| ~ ( v2_pre_topc @ SV32 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV32 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(463,plain,
! [SV33: $i] :
( ( ( ( v3_struct_0 @ SV33 )
| ~ ( v2_pre_topc @ SV33 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV33 ) )
= $true )
| ( ( v10_lattices @ ( k6_lopclset @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(464,plain,
! [SV25: $i] :
( ( ( l1_pre_topc @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( v2_pre_topc @ SV25 )
= $false )
| ( ( l3_lattices @ ( k6_lopclset @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(465,plain,
! [SV19: $i,SV5: $i] :
( ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v10_lattices @ SV19 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(466,plain,
! [SV16: $i,SV6: $i] :
( ( ( l3_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( v10_lattices @ SV16 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(467,plain,
( ( v3_struct_0 @ sK9_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(468,plain,
! [SV26: $i] :
( ( ( ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 )
| ~ ( v17_lattices @ SV26 ) )
= $true )
| ( ( v3_realset2 @ SV26 )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(469,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 )
| ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(470,plain,
! [SV22: $i] :
( ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v17_lattices @ SV22 ) )
= $true )
| ( ( v3_realset2 @ SV22 )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(471,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 )
| ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(472,plain,
! [SV29: $i] :
( ( ( ( v3_struct_0 @ SV29 )
| ~ ( v10_lattices @ SV29 )
| ~ ( v17_lattices @ SV29 ) )
= $true )
| ( ( v3_realset2 @ SV29 )
= $true )
| ( ( ~ ( l3_lattices @ SV29 ) )
= $true )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(473,plain,
! [SV23: $i] :
( ( ( v10_lattices @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( ~ ( v17_lattices @ SV23 ) )
= $true )
| ( ( v3_realset2 @ SV23 )
= $true )
| ( ( ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(474,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 )
| ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(475,plain,
! [SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v10_lattices @ SV31 )
| ~ ( v17_lattices @ SV31 ) )
= $true )
| ( ( v3_realset2 @ SV31 )
= $true )
| ( ( ~ ( l3_lattices @ SV31 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(476,plain,
! [SV24: $i] :
( ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( v17_lattices @ SV24 ) )
= $true )
| ( ( v3_realset2 @ SV24 )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(477,plain,
! [SV32: $i] :
( ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( ~ ( v2_pre_topc @ SV32 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV32 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(478,plain,
! [SV33: $i] :
( ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( ~ ( v2_pre_topc @ SV33 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV33 ) )
= $true )
| ( ( v10_lattices @ ( k6_lopclset @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(479,plain,
! [SV5: $i,SV19: $i] :
( ( ( v10_lattices @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( ~ ( l3_lattices @ SV19 ) )
= $true )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(480,plain,
! [SV6: $i,SV16: $i] :
( ( ( v10_lattices @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( l3_lattices @ SV6 )
= $false )
| ( ( ~ ( l3_lattices @ SV16 ) )
= $true )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(481,plain,
! [SV26: $i] :
( ( ( ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV26 ) )
= $true )
| ( ( v3_realset2 @ SV26 )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(482,plain,
! [SV27: $i] :
( ( ( ( v3_struct_0 @ SV27 )
| ~ ( v10_lattices @ SV27 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(483,plain,
! [SV22: $i] :
( ( ( v17_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_realset2 @ SV22 )
= $true )
| ( ( ~ ( l3_lattices @ SV22 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(484,plain,
! [SV28: $i] :
( ( ( ( v3_struct_0 @ SV28 )
| ~ ( v10_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(485,plain,
! [SV29: $i] :
( ( ( ( v3_struct_0 @ SV29 )
| ~ ( v10_lattices @ SV29 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV29 ) )
= $true )
| ( ( v3_realset2 @ SV29 )
= $true )
| ( ( ~ ( l3_lattices @ SV29 ) )
= $true )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(486,plain,
! [SV23: $i] :
( ( ( v17_lattices @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v10_lattices @ SV23 )
= $false )
| ( ( v3_realset2 @ SV23 )
= $true )
| ( ( ~ ( l3_lattices @ SV23 ) )
= $true )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(487,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v10_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(488,plain,
! [SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v10_lattices @ SV31 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV31 ) )
= $true )
| ( ( v3_realset2 @ SV31 )
= $true )
| ( ( ~ ( l3_lattices @ SV31 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(489,plain,
! [SV24: $i] :
( ( ( v17_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_realset2 @ SV24 )
= $true )
| ( ( ~ ( l3_lattices @ SV24 ) )
= $true )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(490,plain,
! [SV32: $i] :
( ( ( v2_pre_topc @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV32 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(491,plain,
! [SV33: $i] :
( ( ( v2_pre_topc @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV33 ) )
= $true )
| ( ( v10_lattices @ ( k6_lopclset @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(492,plain,
! [SV5: $i,SV19: $i] :
( ( ( l3_lattices @ SV19 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( v10_lattices @ SV19 )
= $false )
| ( ( r1_filter_1 @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(493,plain,
! [SV6: $i,SV16: $i] :
( ( ( l3_lattices @ SV16 )
= $false )
| ( ( l3_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( v10_lattices @ SV16 )
= $false )
| ( ( ~ ( r1_filter_1 @ SV6 @ SV16 )
| ( r1_filter_1 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(494,plain,
! [SV26: $i] :
( ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( ~ ( v10_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV26 ) )
= $true )
| ( ( v3_realset2 @ SV26 )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(495,plain,
! [SV27: $i] :
( ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( ~ ( v10_lattices @ SV27 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(496,plain,
! [SV22: $i] :
( ( ( l3_lattices @ SV22 )
= $false )
| ( ( v3_realset2 @ SV22 )
= $true )
| ( ( v10_lattices @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v17_lattices @ SV22 )
= $false )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(497,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ( v10_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(498,plain,
! [SV29: $i] :
( ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( ~ ( v10_lattices @ SV29 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV29 ) )
= $true )
| ( ( v3_realset2 @ SV29 )
= $true )
| ( ( ~ ( l3_lattices @ SV29 ) )
= $true )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(499,plain,
! [SV23: $i] :
( ( ( l3_lattices @ SV23 )
= $false )
| ( ( v3_realset2 @ SV23 )
= $true )
| ( ( v10_lattices @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v17_lattices @ SV23 )
= $false )
| ( ( l3_lattices @ ( k12_lopclset @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(500,plain,
! [SV30: $i] :
( ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v10_lattices @ SV30 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(501,plain,
! [SV31: $i] :
( ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v10_lattices @ SV31 ) )
= $true )
| ( ( ~ ( v17_lattices @ SV31 ) )
= $true )
| ( ( v3_realset2 @ SV31 )
= $true )
| ( ( ~ ( l3_lattices @ SV31 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(502,plain,
! [SV24: $i] :
( ( ( l3_lattices @ SV24 )
= $false )
| ( ( v3_realset2 @ SV24 )
= $true )
| ( ( v10_lattices @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v17_lattices @ SV24 )
= $false )
| ( ( l1_pre_topc @ ( k11_lopclset @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(503,plain,
! [SV32: $i] :
( ( ( l1_pre_topc @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v2_pre_topc @ SV32 )
= $false )
| ( ( ~ ( v3_struct_0 @ ( k6_lopclset @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(504,plain,
! [SV33: $i] :
( ( ( l1_pre_topc @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v2_pre_topc @ SV33 )
= $false )
| ( ( v10_lattices @ ( k6_lopclset @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(505,plain,
! [SV16: $i,SV6: $i] :
( ( ( ~ ( r1_filter_1 @ SV6 @ SV16 ) )
= $true )
| ( ( r1_filter_1 @ SV16 @ SV6 )
= $true )
| ( ( v10_lattices @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( l3_lattices @ SV6 )
= $false )
| ( ( l3_lattices @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(506,plain,
! [SV26: $i] :
( ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( ~ ( v17_lattices @ SV26 ) )
= $true )
| ( ( v3_realset2 @ SV26 )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(507,plain,
! [SV27: $i] :
( ( ( v10_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( ~ ( v17_lattices @ SV27 ) )
= $true )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(508,plain,
! [SV28: $i] :
( ( ( v10_lattices @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ( v17_lattices @ SV28 ) )
= $true )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(509,plain,
! [SV29: $i] :
( ( ( v10_lattices @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( ~ ( v17_lattices @ SV29 ) )
= $true )
| ( ( v3_realset2 @ SV29 )
= $true )
| ( ( ~ ( l3_lattices @ SV29 ) )
= $true )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(510,plain,
! [SV30: $i] :
( ( ( v10_lattices @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v17_lattices @ SV30 ) )
= $true )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(511,plain,
! [SV31: $i] :
( ( ( v10_lattices @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v17_lattices @ SV31 ) )
= $true )
| ( ( v3_realset2 @ SV31 )
= $true )
| ( ( ~ ( l3_lattices @ SV31 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(512,plain,
! [SV32: $i] :
( ( ( v3_struct_0 @ ( k6_lopclset @ SV32 ) )
= $false )
| ( ( v2_pre_topc @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( l1_pre_topc @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(513,plain,
! [SV16: $i,SV6: $i] :
( ( ( r1_filter_1 @ SV6 @ SV16 )
= $false )
| ( ( r1_filter_1 @ SV16 @ SV6 )
= $true )
| ( ( v10_lattices @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( v10_lattices @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( l3_lattices @ SV6 )
= $false )
| ( ( l3_lattices @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(514,plain,
! [SV26: $i] :
( ( ( v17_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_realset2 @ SV26 )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(515,plain,
! [SV27: $i] :
( ( ( v17_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( v10_lattices @ SV27 )
= $false )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( ~ ( l3_lattices @ SV27 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(516,plain,
! [SV28: $i] :
( ( ( v17_lattices @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v10_lattices @ SV28 )
= $false )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( ~ ( l3_lattices @ SV28 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(517,plain,
! [SV29: $i] :
( ( ( v17_lattices @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( v10_lattices @ SV29 )
= $false )
| ( ( v3_realset2 @ SV29 )
= $true )
| ( ( ~ ( l3_lattices @ SV29 ) )
= $true )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(518,plain,
! [SV30: $i] :
( ( ( v17_lattices @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v10_lattices @ SV30 )
= $false )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(519,plain,
! [SV31: $i] :
( ( ( v17_lattices @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v10_lattices @ SV31 )
= $false )
| ( ( v3_realset2 @ SV31 )
= $true )
| ( ( ~ ( l3_lattices @ SV31 ) )
= $true )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(520,plain,
! [SV26: $i] :
( ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_realset2 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v17_lattices @ SV26 )
= $false )
| ( ( ~ ( v3_struct_0 @ ( k11_lopclset @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(521,plain,
! [SV27: $i] :
( ( ( l3_lattices @ SV27 )
= $false )
| ( ( v3_realset2 @ SV27 )
= $true )
| ( ( v10_lattices @ SV27 )
= $false )
| ( ( v3_struct_0 @ SV27 )
= $true )
| ( ( v17_lattices @ SV27 )
= $false )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(522,plain,
! [SV28: $i] :
( ( ( l3_lattices @ SV28 )
= $false )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( v10_lattices @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v17_lattices @ SV28 )
= $false )
| ( ( ~ ( v3_struct_0 @ ( k12_lopclset @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(523,plain,
! [SV29: $i] :
( ( ( l3_lattices @ SV29 )
= $false )
| ( ( v3_realset2 @ SV29 )
= $true )
| ( ( v10_lattices @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( v17_lattices @ SV29 )
= $false )
| ( ( v10_lattices @ ( k12_lopclset @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(524,plain,
! [SV30: $i] :
( ( ( l3_lattices @ SV30 )
= $false )
| ( ( v3_realset2 @ SV30 )
= $true )
| ( ( v10_lattices @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v17_lattices @ SV30 )
= $false )
| ( ( v1_pre_topc @ ( k11_lopclset @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(525,plain,
! [SV31: $i] :
( ( ( l3_lattices @ SV31 )
= $false )
| ( ( v3_realset2 @ SV31 )
= $true )
| ( ( v10_lattices @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v17_lattices @ SV31 )
= $false )
| ( ( v2_pre_topc @ ( k11_lopclset @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(526,plain,
! [SV26: $i] :
( ( ( v3_struct_0 @ ( k11_lopclset @ SV26 ) )
= $false )
| ( ( v17_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_realset2 @ SV26 )
= $true )
| ( ( l3_lattices @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(527,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ ( k12_lopclset @ SV28 ) )
= $false )
| ( ( v17_lattices @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v10_lattices @ SV28 )
= $false )
| ( ( v3_realset2 @ SV28 )
= $true )
| ( ( l3_lattices @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(528,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[191,527,526,525,524,523,521,513,512,504,502,499,496,492,467,464,451,450,447,422,414,410,401,394,393,392,389,363,362,345,343,333,330,329,326,318,317,316,314,311,307,305,304,303,298,246,245,217,216,214,208,207,206,192]) ).
thf(529,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[528]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT292+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 29 17:57:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.41 ..
% 0.21/0.48
% 0.21/0.48 No.of.Axioms: 111
% 0.21/0.48
% 0.21/0.48 Length.of.Defs: 0
% 0.21/0.48
% 0.21/0.48 Contains.Choice.Funs: false
% 0.21/0.50 .....
% 0.21/0.52 (rf:2,axioms:30,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:113,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.44/0.65
% 0.44/0.65 ********************************
% 0.44/0.65 * All subproblems solved! *
% 0.44/0.65 ********************************
% 0.44/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:35,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:528,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.51/0.71
% 0.51/0.71 %**** Beginning of derivation protocol ****
% 0.51/0.71 % SZS output start CNFRefutation
% See solution above
% 0.51/0.71
% 0.51/0.71 %**** End of derivation protocol ****
% 0.51/0.71 %**** no. of clauses in derivation: 448 ****
% 0.51/0.71 %**** clause counter: 528 ****
% 0.51/0.71
% 0.51/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:35,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:528,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------