%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : TOP027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:09:39 AM UTC 2026
% Result : Theorem 5.93s 1.27s
% Output : CNFRefutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 324 ( 174 unt; 0 typ; 0 def)
% Number of atoms : 2109 ( 626 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 4159 ( 784 ~; 538 |; 65 &;2684 @)
% ( 3 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 40 usr; 8 con; 0-3 aty)
% Number of variables : 596 ( 0 ^; 575 !; 21 ?; 596 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_k1_tops_1,type,
k1_tops_1: $i > $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k3_tex_4,type,
k3_tex_4: $i > $i > $i ).
thf(tp_k3_xboole_0,type,
k3_xboole_0: $i > $i > $i ).
thf(tp_k5_subset_1,type,
k5_subset_1: $i > $i > $i > $i ).
thf(tp_l1_pre_topc,type,
l1_pre_topc: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_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_SY65,type,
sK10_SY65: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SY50,type,
sK5_SY50: $i > $i ).
thf(tp_sK6_SY54,type,
sK6_SY54: $i > $i ).
thf(tp_sK7_SY77,type,
sK7_SY77: $i ).
thf(tp_sK8_SY68,type,
sK8_SY68: $i > $i ).
thf(tp_sK9_SY49,type,
sK9_SY49: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_v1_int_1,type,
v1_int_1: $i > $o ).
thf(tp_v1_membered,type,
v1_membered: $i > $o ).
thf(tp_v1_rat_1,type,
v1_rat_1: $i > $o ).
thf(tp_v1_tsp_2,type,
v1_tsp_2: $i > $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_v2_tops_1,type,
v2_tops_1: $i > $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_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v3_tops_1,type,
v3_tops_1: $i > $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_membered,type,
v5_membered: $i > $o ).
thf(1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v3_pre_topc @ C @ A )
=> ( C
= ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_tsp_2) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
thf(3,axiom,
! [A: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ( v3_pre_topc @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( v3_pre_topc @ ( k1_tops_1 @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).
thf(5,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(6,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(7,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(8,axiom,
! [A: $i] :
( ( l1_pre_topc @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( m1_subset_1 @ ( k5_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k3_tex_4 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_tex_4) ).
thf(11,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k1_tops_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ C )
= ( k3_xboole_0 @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
thf(14,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(15,axiom,
? [A: $i] : ( l1_pre_topc @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k5_subset_1) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ C )
= ( k5_subset_1 @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
thf(23,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(24,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(25,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(31,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(32,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_xboole_0) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(42,axiom,
! [A: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ( v4_pre_topc @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).
thf(71,axiom,
! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_membered @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).
thf(77,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(79,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( k1_tops_1 @ A @ C )
= ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ ( k1_tops_1 @ A @ C ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).
thf(80,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( k1_tops_1 @ A @ C )
= ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ ( k1_tops_1 @ A @ C ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[79]) ).
thf(81,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( k1_tops_1 @ A @ C )
= ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ ( k1_tops_1 @ A @ C ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[80]) ).
thf(82,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v3_pre_topc @ C @ A )
=> ( C
= ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(84,plain,
( ( ! [A: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ( v3_pre_topc @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(85,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( v3_pre_topc @ ( k1_tops_1 @ A @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(86,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(87,plain,
$true = $true,
inference(unfold_def,[status(thm)],[6]) ).
thf(88,plain,
$true = $true,
inference(unfold_def,[status(thm)],[7]) ).
thf(89,plain,
( ( ! [A: $i] :
( ( l1_pre_topc @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(90,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( m1_subset_1 @ ( k5_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k3_tex_4 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(92,plain,
$true = $true,
inference(unfold_def,[status(thm)],[11]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k1_tops_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(94,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ C )
= ( k3_xboole_0 @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(95,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(96,plain,
( ( ? [A: $i] : ( l1_pre_topc @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(98,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ C )
= ( k5_subset_1 @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(99,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(100,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(101,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(102,plain,
$true = $true,
inference(unfold_def,[status(thm)],[31]) ).
thf(103,plain,
$true = $true,
inference(unfold_def,[status(thm)],[32]) ).
thf(104,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(105,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(106,plain,
( ( ! [A: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ( v4_pre_topc @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(107,plain,
( ( ! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_membered @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(108,plain,
$true = $true,
inference(unfold_def,[status(thm)],[77]) ).
thf(109,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( v2_pre_topc @ sK1_A )
& ( l1_pre_topc @ sK1_A ) )
=> ! [SY47: $i] :
( ( m1_subset_1 @ SY47 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( v1_tsp_2 @ SY47 @ sK1_A )
=> ! [SY48: $i] :
( ( m1_subset_1 @ SY48 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( k1_tops_1 @ sK1_A @ SY48 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ SY47 @ ( k1_tops_1 @ sK1_A @ SY48 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(110,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[109]) ).
thf(111,plain,
( ( v2_pre_topc @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[109]) ).
thf(112,plain,
( ( l1_pre_topc @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[109]) ).
thf(113,plain,
( ( ! [SY47: $i] :
( ( m1_subset_1 @ SY47 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( v1_tsp_2 @ SY47 @ sK1_A )
=> ! [SY48: $i] :
( ( m1_subset_1 @ SY48 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( k1_tops_1 @ sK1_A @ SY48 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ SY47 @ ( k1_tops_1 @ sK1_A @ SY48 ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[109]) ).
thf(114,plain,
( ( ~ ! [SY47: $i] :
( ( m1_subset_1 @ SY47 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( v1_tsp_2 @ SY47 @ sK1_A )
=> ! [SY48: $i] :
( ( m1_subset_1 @ SY48 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( k1_tops_1 @ sK1_A @ SY48 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ SY47 @ ( k1_tops_1 @ sK1_A @ SY48 ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[113]) ).
thf(115,plain,
$true = $true,
inference(copy,[status(thm)],[108]) ).
thf(116,plain,
( ( ! [A: $i] :
( ( v1_membered @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( v1_membered @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(117,plain,
( ( ! [A: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ( v4_pre_topc @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(120,plain,
$true = $true,
inference(copy,[status(thm)],[103]) ).
thf(121,plain,
$true = $true,
inference(copy,[status(thm)],[102]) ).
thf(122,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(123,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(124,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(125,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ C )
= ( k5_subset_1 @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(126,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(127,plain,
( ( ? [A: $i] : ( l1_pre_topc @ A ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(128,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(129,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_subset_1 @ A @ B @ C )
= ( k3_xboole_0 @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(130,plain,
( ( ! [A: $i,B: $i] :
( ( ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k1_tops_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(131,plain,
$true = $true,
inference(copy,[status(thm)],[92]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( m1_subset_1 @ ( k3_tex_4 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(133,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( m1_subset_1 @ ( k5_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(134,plain,
( ( ! [A: $i] :
( ( l1_pre_topc @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(135,plain,
$true = $true,
inference(copy,[status(thm)],[88]) ).
thf(136,plain,
$true = $true,
inference(copy,[status(thm)],[87]) ).
thf(137,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(138,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( v3_pre_topc @ ( k1_tops_1 @ A @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(139,plain,
( ( ! [A: $i] :
( ( ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ( v3_pre_topc @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(140,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(141,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_pre_topc @ A )
& ( l1_pre_topc @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v1_tsp_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( v3_pre_topc @ C @ A )
=> ( C
= ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(142,plain,
( ( l1_pre_topc @ sK1_A )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(143,plain,
( ( v2_pre_topc @ sK1_A )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(144,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(145,plain,
( ( ~ ! [SY47: $i] :
( ( m1_subset_1 @ SY47 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( v1_tsp_2 @ SY47 @ sK1_A )
=> ! [SY48: $i] :
( ( m1_subset_1 @ SY48 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( k1_tops_1 @ sK1_A @ SY48 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ SY47 @ ( k1_tops_1 @ sK1_A @ SY48 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(146,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v3_pre_topc @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(147,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(148,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) ) )
| ( v3_pre_topc @ ( k1_tops_1 @ SX0 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(149,plain,
( ( ! [SX0: $i] :
( ~ ( v1_membered @ SX0 )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ( v1_membered @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(150,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_pre_topc @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) ) )
| ( m1_subset_1 @ ( k3_tex_4 @ SX0 @ SX1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(151,plain,
( ( ! [SX0: $i] :
( ~ ( l1_pre_topc @ SX0 )
| ( l1_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(152,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( m1_subset_1 @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(154,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ( m1_subset_1 @ ( k5_subset_1 @ SX0 @ SX1 @ SX2 ) @ ( k1_zfmisc_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(155,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( l1_pre_topc @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) ) )
| ( m1_subset_1 @ ( k1_tops_1 @ SX0 @ SX1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(156,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ( ( k5_subset_1 @ SX0 @ SX1 @ SX2 )
= ( k3_xboole_0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(157,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ( ( k5_subset_1 @ SX0 @ SX1 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(158,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ( m1_subset_1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(159,plain,
( ( ~ ! [SX0: $i] :
~ ( l1_pre_topc @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(160,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( v2_pre_topc @ SX0 )
| ~ ( l1_pre_topc @ SX0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v4_pre_topc @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(161,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ( ( k5_subset_1 @ SX0 @ SX1 @ SX2 )
= ( k5_subset_1 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(162,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(163,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(164,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( l1_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(165,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v2_pre_topc @ SX0 ) )
| ~ ( l1_pre_topc @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v1_tsp_2 @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v3_pre_topc @ SX2 @ SX0 )
| ( SX2
= ( k3_tex_4 @ SX0 @ ( k5_subset_1 @ ( u1_struct_0 @ SX0 ) @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(166,plain,
( ( ~ ! [SX0: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ( v1_tsp_2 @ SX0 @ sK1_A )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ( ( k1_tops_1 @ sK1_A @ SX1 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ SX0 @ ( k1_tops_1 @ sK1_A @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(167,plain,
! [SV1: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(168,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(169,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ( v2_pre_topc @ SV2 )
| ~ ( l1_pre_topc @ SV2 ) )
| ~ ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV3: $i] :
( ( ~ ! [SY50: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY50 @ ( k1_zfmisc_1 @ SV3 ) )
| ~ ( v1_xboole_0 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(171,plain,
! [SV4: $i] :
( ( ! [SY51: $i] :
( ~ ~ ( ~ ~ ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) )
| ~ ( m1_subset_1 @ SY51 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
| ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SY51 ) @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(172,plain,
! [SV5: $i] :
( ( ~ ( v1_membered @ SV5 )
| ! [SY52: $i] :
( ~ ( m1_subset_1 @ SY52 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_membered @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(173,plain,
! [SV6: $i] :
( ( ! [SY53: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) )
| ~ ( m1_subset_1 @ SY53 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
| ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SY53 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(174,plain,
! [SV7: $i] :
( ( ~ ( l1_pre_topc @ SV7 )
| ( l1_struct_0 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(175,plain,
! [SV8: $i] :
( ( ~ ! [SY54: $i] :
~ ( m1_subset_1 @ SY54 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(176,plain,
! [SV9: $i] :
( ( ! [SY55: $i] :
( ~ ( r2_hidden @ SV9 @ SY55 )
| ( m1_subset_1 @ SV9 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(177,plain,
! [SV10: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY56 @ ( k1_zfmisc_1 @ SV10 ) )
| ~ ( m1_subset_1 @ SY57 @ ( k1_zfmisc_1 @ SV10 ) ) )
| ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SY56 @ SY57 ) @ ( k1_zfmisc_1 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(178,plain,
! [SV11: $i] :
( ( ! [SY58: $i] :
( ~ ~ ( ~ ( l1_pre_topc @ SV11 )
| ~ ( m1_subset_1 @ SY58 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) )
| ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SY58 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(179,plain,
! [SV12: $i] :
( ( ! [SY59: $i,SY60: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY59 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( m1_subset_1 @ SY60 @ ( k1_zfmisc_1 @ SV12 ) ) )
| ( ( k5_subset_1 @ SV12 @ SY59 @ SY60 )
= ( k3_xboole_0 @ SY59 @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(180,plain,
! [SV13: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY61 @ ( k1_zfmisc_1 @ SV13 ) )
| ~ ( m1_subset_1 @ SY62 @ ( k1_zfmisc_1 @ SV13 ) ) )
| ( ( k5_subset_1 @ SV13 @ SY61 @ SY61 )
= SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(181,plain,
! [SV14: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV14 @ SY63 )
| ~ ( m1_subset_1 @ SY63 @ ( k1_zfmisc_1 @ SY64 ) ) )
| ( m1_subset_1 @ SV14 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(182,plain,
( ( ! [SX0: $i] :
~ ( l1_pre_topc @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(183,plain,
! [SV15: $i] :
( ( ~ ~ ( ~ ( v2_pre_topc @ SV15 )
| ~ ( l1_pre_topc @ SV15 ) )
| ~ ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(184,plain,
! [SV16: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY66 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( m1_subset_1 @ SY67 @ ( k1_zfmisc_1 @ SV16 ) ) )
| ( ( k5_subset_1 @ SV16 @ SY66 @ SY67 )
= ( k5_subset_1 @ SV16 @ SY67 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(185,plain,
! [SV17: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV17 )
| ~ ! [SY68: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(186,plain,
! [SV18: $i] :
( ( ! [SY69: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SY69 ) )
| ( r1_tarski @ SV18 @ SY69 ) )
| ~ ( ~ ( r1_tarski @ SV18 @ SY69 )
| ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SY69 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(187,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( l1_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(188,plain,
! [SV19: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v2_pre_topc @ SV19 ) )
| ~ ( l1_pre_topc @ SV19 ) )
| ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(189,plain,
( ( ! [SX0: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ( v1_tsp_2 @ SX0 @ sK1_A )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ( ( k1_tops_1 @ sK1_A @ SX1 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ SX0 @ ( k1_tops_1 @ sK1_A @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(190,plain,
! [SV1: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(191,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( v2_pre_topc @ SV2 )
| ~ ( l1_pre_topc @ SV2 ) ) )
= $true )
| ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(192,plain,
! [SV3: $i] :
( ( ! [SY50: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY50 @ ( k1_zfmisc_1 @ SV3 ) )
| ~ ( v1_xboole_0 @ SY50 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(193,plain,
! [SV20: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) )
| ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
| ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(194,plain,
! [SV5: $i] :
( ( ( ~ ( v1_membered @ SV5 ) )
= $true )
| ( ( ! [SY52: $i] :
( ~ ( m1_subset_1 @ SY52 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_membered @ SY52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(195,plain,
! [SV21: $i,SV6: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) )
| ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
| ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(196,plain,
! [SV7: $i] :
( ( ( ~ ( l1_pre_topc @ SV7 ) )
= $true )
| ( ( l1_struct_0 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(197,plain,
! [SV8: $i] :
( ( ! [SY54: $i] :
~ ( m1_subset_1 @ SY54 @ SV8 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(198,plain,
! [SV22: $i,SV9: $i] :
( ( ~ ( r2_hidden @ SV9 @ SV22 )
| ( m1_subset_1 @ SV9 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(199,plain,
! [SV10: $i,SV23: $i] :
( ( ! [SY72: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) )
| ~ ( m1_subset_1 @ SY72 @ ( k1_zfmisc_1 @ SV10 ) ) )
| ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SY72 ) @ ( k1_zfmisc_1 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(200,plain,
! [SV24: $i,SV11: $i] :
( ( ~ ~ ( ~ ( l1_pre_topc @ SV11 )
| ~ ( m1_subset_1 @ SV24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) )
| ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SV24 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(201,plain,
! [SV12: $i,SV25: $i] :
( ( ! [SY73: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( m1_subset_1 @ SY73 @ ( k1_zfmisc_1 @ SV12 ) ) )
| ( ( k5_subset_1 @ SV12 @ SV25 @ SY73 )
= ( k3_xboole_0 @ SV25 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(202,plain,
! [SV13: $i,SV26: $i] :
( ( ! [SY74: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) )
| ~ ( m1_subset_1 @ SY74 @ ( k1_zfmisc_1 @ SV13 ) ) )
| ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(203,plain,
! [SV27: $i,SV14: $i] :
( ( ! [SY75: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV27 )
| ~ ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SY75 ) ) )
| ( m1_subset_1 @ SV14 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(204,plain,
( ( ~ ( l1_pre_topc @ sK2_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[182]) ).
thf(205,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ( v2_pre_topc @ SV15 )
| ~ ( l1_pre_topc @ SV15 ) ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(206,plain,
! [SV16: $i,SV28: $i] :
( ( ! [SY76: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( m1_subset_1 @ SY76 @ ( k1_zfmisc_1 @ SV16 ) ) )
| ( ( k5_subset_1 @ SV16 @ SV28 @ SY76 )
= ( k5_subset_1 @ SV16 @ SY76 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(207,plain,
! [SV17: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV17 ) )
= $true )
| ( ( ~ ! [SY68: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ SY68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(208,plain,
! [SV29: $i,SV18: $i] :
( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) )
| ( r1_tarski @ SV18 @ SV29 ) )
| ~ ( ~ ( r1_tarski @ SV18 @ SV29 )
| ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(209,plain,
( ( ~ ~ ( ~ ( l1_struct_0 @ sK3_SX0 )
| ~ ~ ( v3_struct_0 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[187]) ).
thf(210,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v2_pre_topc @ SV19 ) )
| ~ ( l1_pre_topc @ SV19 ) ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(211,plain,
( ( ~ ( m1_subset_1 @ sK4_SX0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ( v1_tsp_2 @ sK4_SX0 @ sK1_A )
| ! [SY77: $i] :
( ~ ( m1_subset_1 @ SY77 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ( ( k1_tops_1 @ sK1_A @ SY77 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ sK4_SX0 @ ( k1_tops_1 @ sK1_A @ SY77 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[189]) ).
thf(212,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( v2_pre_topc @ SV2 )
| ~ ( l1_pre_topc @ SV2 ) ) )
= $false )
| ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(213,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK5_SY50 @ SV3 ) @ ( k1_zfmisc_1 @ SV3 ) )
| ~ ( v1_xboole_0 @ ( sK5_SY50 @ SV3 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[192]) ).
thf(214,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) )
| ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(215,plain,
! [SV5: $i] :
( ( ( v1_membered @ SV5 )
= $false )
| ( ( ! [SY52: $i] :
( ~ ( m1_subset_1 @ SY52 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_membered @ SY52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(216,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) )
| ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV7: $i] :
( ( ( l1_pre_topc @ SV7 )
= $false )
| ( ( l1_struct_0 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV8: $i] :
( ( ~ ( m1_subset_1 @ ( sK6_SY54 @ SV8 ) @ SV8 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[197]) ).
thf(219,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( r2_hidden @ SV9 @ SV22 ) )
= $true )
| ( ( m1_subset_1 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(220,plain,
! [SV30: $i,SV10: $i,SV23: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) )
| ~ ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ SV10 ) ) )
| ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SV30 ) @ ( k1_zfmisc_1 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(221,plain,
! [SV24: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( l1_pre_topc @ SV11 )
| ~ ( m1_subset_1 @ SV24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SV24 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(222,plain,
! [SV31: $i,SV12: $i,SV25: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( m1_subset_1 @ SV31 @ ( k1_zfmisc_1 @ SV12 ) ) )
| ( ( k5_subset_1 @ SV12 @ SV25 @ SV31 )
= ( k3_xboole_0 @ SV25 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(223,plain,
! [SV32: $i,SV13: $i,SV26: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV13 ) ) )
| ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(224,plain,
! [SV33: $i,SV27: $i,SV14: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV27 )
| ~ ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SV33 ) ) )
| ( m1_subset_1 @ SV14 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(225,plain,
( ( l1_pre_topc @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(226,plain,
! [SV15: $i] :
( ( ( ~ ( ~ ( v2_pre_topc @ SV15 )
| ~ ( l1_pre_topc @ SV15 ) ) )
= $false )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(227,plain,
! [SV34: $i,SV16: $i,SV28: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV16 ) ) )
| ( ( k5_subset_1 @ SV16 @ SV28 @ SV34 )
= ( k5_subset_1 @ SV16 @ SV34 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(228,plain,
! [SV17: $i] :
( ( ( ~ ( v1_xboole_0 @ SV17 ) )
= $false )
| ( ( ~ ! [SY68: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ SY68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(229,plain,
! [SV29: $i,SV18: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) )
| ( r1_tarski @ SV18 @ SV29 ) )
| ~ ( ~ ( r1_tarski @ SV18 @ SV29 )
| ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(230,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK3_SX0 )
| ~ ~ ( v3_struct_0 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(231,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v2_pre_topc @ SV19 ) )
| ~ ( l1_pre_topc @ SV19 ) ) )
= $false )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(232,plain,
( ( ~ ( m1_subset_1 @ sK4_SX0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(233,plain,
( ( ~ ( v1_tsp_2 @ sK4_SX0 @ sK1_A )
| ! [SY77: $i] :
( ~ ( m1_subset_1 @ SY77 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ( ( k1_tops_1 @ sK1_A @ SY77 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ sK4_SX0 @ ( k1_tops_1 @ sK1_A @ SY77 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(234,plain,
! [SV2: $i] :
( ( ( ~ ( v2_pre_topc @ SV2 )
| ~ ( l1_pre_topc @ SV2 ) )
= $true )
| ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(235,plain,
! [SV3: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK5_SY50 @ SV3 ) @ ( k1_zfmisc_1 @ SV3 ) )
| ~ ( v1_xboole_0 @ ( sK5_SY50 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(236,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) )
| ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) ) )
= $false )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(237,plain,
! [SV5: $i,SV35: $i] :
( ( ( ~ ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV5 ) )
| ( v1_membered @ SV35 ) )
= $true )
| ( ( v1_membered @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(238,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) )
| ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(239,plain,
! [SV8: $i] :
( ( m1_subset_1 @ ( sK6_SY54 @ SV8 ) @ SV8 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(240,plain,
! [SV22: $i,SV9: $i] :
( ( ( r2_hidden @ SV9 @ SV22 )
= $false )
| ( ( m1_subset_1 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(241,plain,
! [SV30: $i,SV10: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) )
| ~ ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ SV10 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SV30 ) @ ( k1_zfmisc_1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(242,plain,
! [SV24: $i,SV11: $i] :
( ( ( ~ ( ~ ( l1_pre_topc @ SV11 )
| ~ ( m1_subset_1 @ SV24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SV24 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(243,plain,
! [SV31: $i,SV12: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( m1_subset_1 @ SV31 @ ( k1_zfmisc_1 @ SV12 ) ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV12 @ SV25 @ SV31 )
= ( k3_xboole_0 @ SV25 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(244,plain,
! [SV32: $i,SV13: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV13 ) ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(245,plain,
! [SV33: $i,SV27: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV27 )
| ~ ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SV33 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(246,plain,
! [SV15: $i] :
( ( ( ~ ( v2_pre_topc @ SV15 )
| ~ ( l1_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(247,plain,
! [SV34: $i,SV16: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV16 ) ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV16 @ SV28 @ SV34 )
= ( k5_subset_1 @ SV16 @ SV34 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(248,plain,
! [SV17: $i] :
( ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( ~ ! [SY68: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ SY68 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(249,plain,
! [SV29: $i,SV18: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) )
| ( r1_tarski @ SV18 @ SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(250,plain,
! [SV29: $i,SV18: $i] :
( ( ~ ( ~ ( r1_tarski @ SV18 @ SV29 )
| ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(251,plain,
( ( ~ ( l1_struct_0 @ sK3_SX0 )
| ~ ~ ( v3_struct_0 @ sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(252,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v2_pre_topc @ SV19 ) )
| ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(253,plain,
( ( m1_subset_1 @ sK4_SX0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(254,plain,
( ( ~ ( v1_tsp_2 @ sK4_SX0 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(255,plain,
( ( ! [SY77: $i] :
( ~ ( m1_subset_1 @ SY77 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ( ( k1_tops_1 @ sK1_A @ SY77 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ sK4_SX0 @ ( k1_tops_1 @ sK1_A @ SY77 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(256,plain,
! [SV2: $i] :
( ( ( ~ ( v2_pre_topc @ SV2 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV2 ) )
= $true )
| ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(257,plain,
! [SV3: $i] :
( ( ~ ( m1_subset_1 @ ( sK5_SY50 @ SV3 ) @ ( k1_zfmisc_1 @ SV3 ) )
| ~ ( v1_xboole_0 @ ( sK5_SY50 @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(258,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) )
| ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(259,plain,
! [SV5: $i,SV35: $i] :
( ( ( ~ ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV5 ) ) )
= $true )
| ( ( v1_membered @ SV35 )
= $true )
| ( ( v1_membered @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(260,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) )
| ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(261,plain,
! [SV30: $i,SV10: $i,SV23: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) )
| ~ ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ SV10 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SV30 ) @ ( k1_zfmisc_1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(262,plain,
! [SV24: $i,SV11: $i] :
( ( ( ~ ( l1_pre_topc @ SV11 )
| ~ ( m1_subset_1 @ SV24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SV24 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(263,plain,
! [SV31: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( m1_subset_1 @ SV31 @ ( k1_zfmisc_1 @ SV12 ) ) ) )
= $false )
| ( ( ( k5_subset_1 @ SV12 @ SV25 @ SV31 )
= ( k3_xboole_0 @ SV25 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(264,plain,
! [SV32: $i,SV13: $i,SV26: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV13 ) ) ) )
= $false )
| ( ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(265,plain,
! [SV33: $i,SV27: $i,SV14: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV14 @ SV27 )
| ~ ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SV33 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(266,plain,
! [SV15: $i] :
( ( ( ~ ( v2_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(267,plain,
! [SV34: $i,SV16: $i,SV28: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV16 ) ) ) )
= $false )
| ( ( ( k5_subset_1 @ SV16 @ SV28 @ SV34 )
= ( k5_subset_1 @ SV16 @ SV34 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(268,plain,
! [SV17: $i] :
( ( ( ! [SY68: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY68 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ SY68 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(269,plain,
! [SV29: $i,SV18: $i] :
( ( ~ ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) )
| ( r1_tarski @ SV18 @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(270,plain,
! [SV29: $i,SV18: $i] :
( ( ~ ( r1_tarski @ SV18 @ SV29 )
| ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(271,plain,
( ( ~ ( l1_struct_0 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(272,plain,
( ( ~ ~ ( v3_struct_0 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(273,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v2_pre_topc @ SV19 ) ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(274,plain,
( ( v1_tsp_2 @ sK4_SX0 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(275,plain,
( ( ~ ( m1_subset_1 @ sK7_SY77 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ( ( k1_tops_1 @ sK1_A @ sK7_SY77 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ sK4_SX0 @ ( k1_tops_1 @ sK1_A @ sK7_SY77 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[255]) ).
thf(276,plain,
! [SV2: $i] :
( ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( ~ ( l1_pre_topc @ SV2 ) )
= $true )
| ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(277,plain,
! [SV3: $i] :
( ( ~ ( m1_subset_1 @ ( sK5_SY50 @ SV3 ) @ ( k1_zfmisc_1 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(278,plain,
! [SV3: $i] :
( ( ~ ( v1_xboole_0 @ ( sK5_SY50 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(279,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(280,plain,
! [SV5: $i,SV35: $i] :
( ( ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV5 ) )
= $false )
| ( ( v1_membered @ SV35 )
= $true )
| ( ( v1_membered @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(281,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(282,plain,
! [SV30: $i,SV10: $i,SV23: $i] :
( ( ( ~ ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) )
| ~ ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ SV10 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SV30 ) @ ( k1_zfmisc_1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(283,plain,
! [SV24: $i,SV11: $i] :
( ( ( ~ ( l1_pre_topc @ SV11 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SV24 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(284,plain,
! [SV31: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( m1_subset_1 @ SV31 @ ( k1_zfmisc_1 @ SV12 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV12 @ SV25 @ SV31 )
= ( k3_xboole_0 @ SV25 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(285,plain,
! [SV32: $i,SV13: $i,SV26: $i] :
( ( ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV13 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(286,plain,
! [SV33: $i,SV27: $i,SV14: $i] :
( ( ( ~ ( r2_hidden @ SV14 @ SV27 )
| ~ ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SV33 ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(287,plain,
! [SV15: $i] :
( ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( ~ ( l1_pre_topc @ SV15 ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(288,plain,
! [SV34: $i,SV16: $i,SV28: $i] :
( ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV16 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV16 @ SV28 @ SV34 )
= ( k5_subset_1 @ SV16 @ SV34 @ SV28 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(289,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK8_SY68 @ SV17 ) @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ ( sK8_SY68 @ SV17 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[268]) ).
thf(290,plain,
! [SV29: $i,SV18: $i] :
( ( ( ~ ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) ) )
= $true )
| ( ( r1_tarski @ SV18 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(291,plain,
! [SV29: $i,SV18: $i] :
( ( ( ~ ( r1_tarski @ SV18 @ SV29 ) )
= $true )
| ( ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(292,plain,
( ( l1_struct_0 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(293,plain,
( ( ~ ( v3_struct_0 @ sK3_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(294,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v2_pre_topc @ SV19 ) ) )
= $false )
| ( ( ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(295,plain,
( ( ~ ( m1_subset_1 @ sK7_SY77 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(296,plain,
( ( ( k1_tops_1 @ sK1_A @ sK7_SY77 )
= ( k3_tex_4 @ sK1_A @ ( k5_subset_1 @ ( u1_struct_0 @ sK1_A ) @ sK4_SX0 @ ( k1_tops_1 @ sK1_A @ sK7_SY77 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(297,plain,
! [SV2: $i] :
( ( ( l1_pre_topc @ SV2 )
= $false )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(298,plain,
! [SV3: $i] :
( ( m1_subset_1 @ ( sK5_SY50 @ SV3 ) @ ( k1_zfmisc_1 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(299,plain,
! [SV3: $i] :
( ( v1_xboole_0 @ ( sK5_SY50 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(300,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(301,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(302,plain,
! [SV30: $i,SV10: $i,SV23: $i] :
( ( ( ~ ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ SV10 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SV30 ) @ ( k1_zfmisc_1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(303,plain,
! [SV24: $i,SV11: $i] :
( ( ( l1_pre_topc @ SV11 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SV24 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(304,plain,
! [SV31: $i,SV12: $i,SV25: $i] :
( ( ( ~ ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV31 @ ( k1_zfmisc_1 @ SV12 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV12 @ SV25 @ SV31 )
= ( k3_xboole_0 @ SV25 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(305,plain,
! [SV32: $i,SV13: $i,SV26: $i] :
( ( ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV13 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(306,plain,
! [SV33: $i,SV27: $i,SV14: $i] :
( ( ( ~ ( r2_hidden @ SV14 @ SV27 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SV33 ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(307,plain,
! [SV15: $i] :
( ( ( l1_pre_topc @ SV15 )
= $false )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(308,plain,
! [SV34: $i,SV16: $i,SV28: $i] :
( ( ( ~ ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV16 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV16 @ SV28 @ SV34 )
= ( k5_subset_1 @ SV16 @ SV34 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(309,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK8_SY68 @ SV17 ) @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ ( sK8_SY68 @ SV17 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(310,plain,
! [SV29: $i,SV18: $i] :
( ( ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) )
= $false )
| ( ( r1_tarski @ SV18 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(311,plain,
! [SV29: $i,SV18: $i] :
( ( ( r1_tarski @ SV18 @ SV29 )
= $false )
| ( ( m1_subset_1 @ SV18 @ ( k1_zfmisc_1 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(312,plain,
( ( v3_struct_0 @ sK3_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(313,plain,
! [SV19: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v2_pre_topc @ SV19 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(314,plain,
( ( m1_subset_1 @ sK7_SY77 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(315,plain,
! [SV2: $i] :
( ( ( ! [SY49: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY49 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ SY49 @ SV2 ) ) )
= $false )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(316,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ( v2_pre_topc @ SV4 )
| ~ ( l1_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(317,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( l1_pre_topc @ SV6 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(318,plain,
! [SV30: $i,SV10: $i,SV23: $i] :
( ( ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ SV10 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SV30 ) @ ( k1_zfmisc_1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(319,plain,
! [SV11: $i,SV24: $i] :
( ( ( m1_subset_1 @ SV24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) )
= $false )
| ( ( l1_pre_topc @ SV11 )
= $false )
| ( ( m1_subset_1 @ ( k1_tops_1 @ SV11 @ SV24 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(320,plain,
! [SV31: $i,SV12: $i,SV25: $i] :
( ( ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV31 @ ( k1_zfmisc_1 @ SV12 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV12 @ SV25 @ SV31 )
= ( k3_xboole_0 @ SV25 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(321,plain,
! [SV32: $i,SV13: $i,SV26: $i] :
( ( ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV13 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(322,plain,
! [SV33: $i,SV27: $i,SV14: $i] :
( ( ( r2_hidden @ SV14 @ SV27 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SV33 ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(323,plain,
! [SV15: $i] :
( ( ( ! [SY65: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY65 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ SY65 @ SV15 ) ) )
= $false )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(324,plain,
! [SV34: $i,SV16: $i,SV28: $i] :
( ( ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV16 ) ) )
= $true )
| ( ( ( k5_subset_1 @ SV16 @ SV28 @ SV34 )
= ( k5_subset_1 @ SV16 @ SV34 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(325,plain,
! [SV17: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK8_SY68 @ SV17 ) @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ~ ( v1_xboole_0 @ ( sK8_SY68 @ SV17 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(326,plain,
! [SV19: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV19 ) )
= $true )
| ( ( ~ ( v2_pre_topc @ SV19 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(327,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK9_SY49 @ SV2 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ ( sK9_SY49 @ SV2 ) @ SV2 ) ) )
= $false )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[315]) ).
thf(328,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ( v2_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(329,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV6 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV6 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(330,plain,
! [SV23: $i,SV10: $i,SV30: $i] :
( ( ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV23 @ ( k1_zfmisc_1 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ ( k5_subset_1 @ SV10 @ SV23 @ SV30 ) @ ( k1_zfmisc_1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(331,plain,
! [SV25: $i,SV12: $i,SV31: $i] :
( ( ( m1_subset_1 @ SV31 @ ( k1_zfmisc_1 @ SV12 ) )
= $false )
| ( ( m1_subset_1 @ SV25 @ ( k1_zfmisc_1 @ SV12 ) )
= $false )
| ( ( ( k5_subset_1 @ SV12 @ SV25 @ SV31 )
= ( k3_xboole_0 @ SV25 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(332,plain,
! [SV26: $i,SV13: $i,SV32: $i] :
( ( ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV13 ) )
= $false )
| ( ( ( k5_subset_1 @ SV13 @ SV26 @ SV26 )
= SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(333,plain,
! [SV14: $i,SV33: $i,SV27: $i] :
( ( ( m1_subset_1 @ SV27 @ ( k1_zfmisc_1 @ SV33 ) )
= $false )
| ( ( r2_hidden @ SV14 @ SV27 )
= $false )
| ( ( m1_subset_1 @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(334,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK10_SY65 @ SV15 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ ( sK10_SY65 @ SV15 ) @ SV15 ) ) )
= $false )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[323]) ).
thf(335,plain,
! [SV28: $i,SV16: $i,SV34: $i] :
( ( ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV28 @ ( k1_zfmisc_1 @ SV16 ) )
= $false )
| ( ( ( k5_subset_1 @ SV16 @ SV28 @ SV34 )
= ( k5_subset_1 @ SV16 @ SV34 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(336,plain,
! [SV17: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK8_SY68 @ SV17 ) @ ( k1_zfmisc_1 @ SV17 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(337,plain,
! [SV17: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK8_SY68 @ SV17 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(338,plain,
! [SV19: $i] :
( ( ( ~ ( v3_struct_0 @ SV19 ) )
= $false )
| ( ( ~ ( v2_pre_topc @ SV19 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(339,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK9_SY49 @ SV2 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ ( sK9_SY49 @ SV2 ) @ SV2 ) ) )
= $true )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(340,plain,
! [SV20: $i,SV4: $i] :
( ( ( v2_pre_topc @ SV4 )
= $false )
| ( ( ~ ( l1_pre_topc @ SV4 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(341,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( v3_struct_0 @ SV6 ) )
= $false )
| ( ( ~ ( l1_pre_topc @ SV6 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(342,plain,
! [SV15: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK10_SY65 @ SV15 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ ( sK10_SY65 @ SV15 ) @ SV15 ) ) )
= $true )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(343,plain,
! [SV17: $i] :
( ( ( m1_subset_1 @ ( sK8_SY68 @ SV17 ) @ ( k1_zfmisc_1 @ SV17 ) )
= $true )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(344,plain,
! [SV17: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK8_SY68 @ SV17 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(345,plain,
! [SV19: $i] :
( ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v2_pre_topc @ SV19 ) )
= $true )
| ( ( ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(346,plain,
! [SV2: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK9_SY49 @ SV2 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
| ~ ( v3_pre_topc @ ( sK9_SY49 @ SV2 ) @ SV2 ) )
= $false )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(347,plain,
! [SV20: $i,SV4: $i] :
( ( ( l1_pre_topc @ SV4 )
= $false )
| ( ( v2_pre_topc @ SV4 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) ) )
= $true )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(348,plain,
! [SV21: $i,SV6: $i] :
( ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV6 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(349,plain,
! [SV15: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK10_SY65 @ SV15 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
| ~ ( v4_pre_topc @ ( sK10_SY65 @ SV15 ) @ SV15 ) )
= $false )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(350,plain,
! [SV17: $i] :
( ( ( v1_xboole_0 @ ( sK8_SY68 @ SV17 ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(351,plain,
! [SV19: $i] :
( ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( l1_pre_topc @ SV19 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(352,plain,
! [SV2: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK9_SY49 @ SV2 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) ) )
= $false )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(353,plain,
! [SV2: $i] :
( ( ( ~ ( v3_pre_topc @ ( sK9_SY49 @ SV2 ) @ SV2 ) )
= $false )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(354,plain,
! [SV4: $i,SV20: $i] :
( ( ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV4 ) ) )
= $false )
| ( ( v2_pre_topc @ SV4 )
= $false )
| ( ( l1_pre_topc @ SV4 )
= $false )
| ( ( v3_pre_topc @ ( k1_tops_1 @ SV4 @ SV20 ) @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(355,plain,
! [SV21: $i,SV6: $i] :
( ( ( l1_pre_topc @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(356,plain,
! [SV15: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK10_SY65 @ SV15 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) ) )
= $false )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(357,plain,
! [SV15: $i] :
( ( ( ~ ( v4_pre_topc @ ( sK10_SY65 @ SV15 ) @ SV15 ) )
= $false )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(358,plain,
! [SV19: $i] :
( ( ( l1_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( ! [SY70: $i] :
( ~ ( m1_subset_1 @ SY70 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SY70 @ SV19 )
| ! [SY71: $i] :
( ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY71 @ SV19 )
| ( SY71
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SY70 @ SY71 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(359,plain,
! [SV2: $i] :
( ( ( m1_subset_1 @ ( sK9_SY49 @ SV2 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV2 ) ) )
= $true )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(360,plain,
! [SV2: $i] :
( ( ( v3_pre_topc @ ( sK9_SY49 @ SV2 ) @ SV2 )
= $true )
| ( ( v2_pre_topc @ SV2 )
= $false )
| ( ( l1_pre_topc @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(361,plain,
! [SV6: $i,SV21: $i] :
( ( ( m1_subset_1 @ SV21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( l1_pre_topc @ SV6 )
= $false )
| ( ( m1_subset_1 @ ( k3_tex_4 @ SV6 @ SV21 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(362,plain,
! [SV15: $i] :
( ( ( m1_subset_1 @ ( sK10_SY65 @ SV15 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV15 ) ) )
= $true )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(363,plain,
! [SV15: $i] :
( ( ( v4_pre_topc @ ( sK10_SY65 @ SV15 ) @ SV15 )
= $true )
| ( ( v2_pre_topc @ SV15 )
= $false )
| ( ( l1_pre_topc @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(364,plain,
! [SV19: $i,SV36: $i] :
( ( ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v1_tsp_2 @ SV36 @ SV19 )
| ! [SY78: $i] :
( ~ ( m1_subset_1 @ SY78 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY78 @ SV19 )
| ( SY78
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SY78 ) ) ) ) )
= $true )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(365,plain,
! [SV19: $i,SV36: $i] :
( ( ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) ) )
= $true )
| ( ( ~ ( v1_tsp_2 @ SV36 @ SV19 )
| ! [SY78: $i] :
( ~ ( m1_subset_1 @ SY78 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY78 @ SV19 )
| ( SY78
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SY78 ) ) ) ) )
= $true )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(366,plain,
! [SV19: $i,SV36: $i] :
( ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( ~ ( v1_tsp_2 @ SV36 @ SV19 )
| ! [SY78: $i] :
( ~ ( m1_subset_1 @ SY78 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY78 @ SV19 )
| ( SY78
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SY78 ) ) ) ) )
= $true )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(367,plain,
! [SV19: $i,SV36: $i] :
( ( ( ~ ( v1_tsp_2 @ SV36 @ SV19 ) )
= $true )
| ( ( ! [SY78: $i] :
( ~ ( m1_subset_1 @ SY78 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY78 @ SV19 )
| ( SY78
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SY78 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(368,plain,
! [SV19: $i,SV36: $i] :
( ( ( v1_tsp_2 @ SV36 @ SV19 )
= $false )
| ( ( ! [SY78: $i] :
( ~ ( m1_subset_1 @ SY78 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SY78 @ SV19 )
| ( SY78
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SY78 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(369,plain,
! [SV36: $i,SV19: $i,SV37: $i] :
( ( ( ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( v3_pre_topc @ SV37 @ SV19 )
| ( SV37
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SV37 ) ) ) )
= $true )
| ( ( v1_tsp_2 @ SV36 @ SV19 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(370,plain,
! [SV36: $i,SV19: $i,SV37: $i] :
( ( ( ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) ) )
= $true )
| ( ( ~ ( v3_pre_topc @ SV37 @ SV19 )
| ( SV37
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SV37 ) ) ) )
= $true )
| ( ( v1_tsp_2 @ SV36 @ SV19 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(371,plain,
! [SV36: $i,SV19: $i,SV37: $i] :
( ( ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( ~ ( v3_pre_topc @ SV37 @ SV19 )
| ( SV37
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SV37 ) ) ) )
= $true )
| ( ( v1_tsp_2 @ SV36 @ SV19 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(372,plain,
! [SV36: $i,SV19: $i,SV37: $i] :
( ( ( ~ ( v3_pre_topc @ SV37 @ SV19 ) )
= $true )
| ( ( SV37
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SV37 ) ) )
= $true )
| ( ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v1_tsp_2 @ SV36 @ SV19 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(373,plain,
! [SV36: $i,SV19: $i,SV37: $i] :
( ( ( v3_pre_topc @ SV37 @ SV19 )
= $false )
| ( ( SV37
= ( k3_tex_4 @ SV19 @ ( k5_subset_1 @ ( u1_struct_0 @ SV19 ) @ SV36 @ SV37 ) ) )
= $true )
| ( ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v1_tsp_2 @ SV36 @ SV19 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( v2_pre_topc @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( l1_pre_topc @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(374,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[115,373,363,362,361,360,359,354,350,343,335,333,332,331,330,319,314,312,311,310,299,298,296,292,280,274,253,240,239,225,217,190,168,143,142,136,135,131,121,120]) ).
thf(375,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 17:51:15 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.93/1.27
% 5.93/1.27 No.of.Axioms: 27
% 5.93/1.27
% 5.93/1.27 Length.of.Defs: 0
% 5.93/1.27
% 5.93/1.27 Contains.Choice.Funs: false
% 5.93/1.27 ..........
% 5.93/1.27
% 5.93/1.27 ********************************
% 5.93/1.27 * All subproblems solved! *
% 5.93/1.27 ********************************
% 5.93/1.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:374,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.93/1.27
% 5.93/1.27 %**** Beginning of derivation protocol ****
% 5.93/1.27 % SZS output start CNFRefutation
% See solution above
% 5.93/1.28
% 5.93/1.28 %**** End of derivation protocol ****
% 5.93/1.28 %**** no. of clauses in derivation: 324 ****
% 5.93/1.28 %**** clause counter: 374 ****
% 5.93/1.28
% 5.93/1.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:374,loop_count:0,foatp_calls:1,translation:fof_full)
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