%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CAT033+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 10:10:49 AM UTC 2026
% Result : Theorem 5.00s 1.10s
% Output : CNFRefutation 5.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 53
% Syntax : Number of formulae : 732 ( 394 unt; 0 typ; 0 def)
% Number of atoms : 9605 (3129 equ; 0 cnn)
% Maximal formula atoms : 20 ( 13 avg)
% Number of connectives : 19844 (3021 ~;3653 |; 202 &;12886 @)
% ( 4 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 41 usr; 11 con; 0-6 aty)
% Number of variables : 2891 ( 0 ^;2871 !; 20 ?;2891 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g1_cat_1,type,
g1_cat_1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k12_ens_1,type,
k12_ens_1: $i > $i ).
thf(tp_k17_ens_1,type,
k17_ens_1: $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_yoneda_1,type,
k1_yoneda_1: $i > $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k20_ens_1,type,
k20_ens_1: $i > $i > $i ).
thf(tp_k2_ens_1,type,
k2_ens_1: $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_l1_cat_1,type,
l1_cat_1: $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_cat_1,type,
m2_cat_1: $i > $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_r1_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_sK10_A,type,
sK10_A: $i ).
thf(tp_sK11_A,type,
sK11_A: $i ).
thf(tp_sK12_A,type,
sK12_A: $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY90,type,
sK2_SY90: $i ).
thf(tp_sK3_A,type,
sK3_A: $i ).
thf(tp_sK4_A,type,
sK4_A: $i ).
thf(tp_sK5_C,type,
sK5_C: $i > $i > $i ).
thf(tp_sK6_B,type,
sK6_B: $i > $i ).
thf(tp_sK7_A,type,
sK7_A: $i ).
thf(tp_sK8_C,type,
sK8_C: $i > $i > $i ).
thf(tp_sK9_C,type,
sK9_C: $i > $i > $i ).
thf(tp_u1_cat_1,type,
u1_cat_1: $i > $i ).
thf(tp_u2_cat_1,type,
u2_cat_1: $i > $i ).
thf(tp_u3_cat_1,type,
u3_cat_1: $i > $i ).
thf(tp_u4_cat_1,type,
u4_cat_1: $i > $i ).
thf(tp_u5_cat_1,type,
u5_cat_1: $i > $i ).
thf(tp_u6_cat_1,type,
u6_cat_1: $i > $i ).
thf(tp_v1_cat_1,type,
v1_cat_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_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v2_cat_1,type,
v2_cat_1: $i > $o ).
thf(tp_v2_funct_1,type,
v2_funct_1: $i > $o ).
thf(1,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_cat_1 @ B ) )
=> ( ( r1_tarski @ ( k17_ens_1 @ B ) @ A )
=> ( m2_cat_1 @ ( k20_ens_1 @ B @ C ) @ B @ ( k12_ens_1 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_ens_1) ).
thf(2,axiom,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ( ( k1_yoneda_1 @ A )
= ( k12_ens_1 @ ( k17_ens_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yoneda_1) ).
thf(3,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(4,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
thf(7,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(8,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(9,axiom,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( k17_ens_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_ens_1) ).
thf(10,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ( v1_cat_1 @ ( k12_ens_1 @ A ) )
& ( v2_cat_1 @ ( k12_ens_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_ens_1) ).
thf(11,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(12,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u1_cat_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_cat_1) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( m2_cat_1 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) )
& ( m2_relset_1 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_cat_1) ).
thf(14,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(15,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_cat_1) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) ) )
=> ( ( v1_funct_1 @ ( k20_ens_1 @ A @ B ) )
& ( v1_funct_2 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) )
& ( m2_relset_1 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k20_ens_1) ).
thf(17,axiom,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ( ( v2_cat_1 @ ( k1_yoneda_1 @ A ) )
& ( l1_cat_1 @ ( k1_yoneda_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yoneda_1) ).
thf(18,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_ens_1) ).
thf(19,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( l1_cat_1 @ ( k12_ens_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k12_ens_1) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ? [C: $i] : ( m2_cat_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_cat_1) ).
thf(21,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(22,axiom,
? [A: $i] : ( l1_cat_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_cat_1) ).
thf(23,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(24,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(25,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
thf(26,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/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(28,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_ens_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_ens_1) ).
thf(29,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(30,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u2_cat_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_cat_1) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(32,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_ens_1) ).
thf(33,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(34,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(36,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(37,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_cat_1 @ A )
=> ( A
= ( g1_cat_1 @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u3_cat_1 @ A ) @ ( u4_cat_1 @ A ) @ ( u5_cat_1 @ A ) @ ( u6_cat_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_cat_1) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(40,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u6_cat_1 @ A ) )
& ( v1_funct_2 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) )
& ( m2_relset_1 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u6_cat_1) ).
thf(41,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u5_cat_1 @ A ) )
& ( m2_relset_1 @ ( u5_cat_1 @ A ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) @ ( u2_cat_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u5_cat_1) ).
thf(42,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u4_cat_1 @ A ) )
& ( v1_funct_2 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) )
& ( m2_relset_1 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u4_cat_1) ).
thf(43,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u3_cat_1 @ A ) )
& ( v1_funct_2 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) )
& ( m2_relset_1 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u3_cat_1) ).
thf(44,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(45,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ B @ A )
& ( m1_relset_1 @ C @ B @ A )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ B @ A )
& ( m1_relset_1 @ D @ B @ A )
& ( v1_funct_1 @ E )
& ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( v1_funct_1 @ F )
& ( v1_funct_2 @ F @ A @ B )
& ( m1_relset_1 @ F @ A @ B ) )
=> ( ( v1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) )
& ( l1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_cat_1) ).
thf(47,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ B @ A )
& ( m1_relset_1 @ C @ B @ A )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ B @ A )
& ( m1_relset_1 @ D @ B @ A )
& ( v1_funct_1 @ E )
& ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( v1_funct_1 @ F )
& ( v1_funct_2 @ F @ A @ B )
& ( m1_relset_1 @ F @ A @ B ) )
=> ! [G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
=> ( ( A = G )
& ( B = H )
& ( C = I )
& ( D = J )
& ( E = K )
& ( F = L ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_cat_1) ).
thf(49,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
thf(50,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
thf(51,axiom,
! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) )
=> ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
thf(52,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
thf(53,conjecture,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ A @ B ) @ A @ ( k1_yoneda_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).
thf(54,negated_conjecture,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ A @ B ) @ A @ ( k1_yoneda_1 @ A ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[53]) ).
thf(55,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ A @ B ) @ A @ ( k1_yoneda_1 @ A ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[54]) ).
thf(56,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_cat_1 @ B ) )
=> ( ( r1_tarski @ ( k17_ens_1 @ B ) @ A )
=> ( m2_cat_1 @ ( k20_ens_1 @ B @ C ) @ B @ ( k12_ens_1 @ A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(57,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ( ( k1_yoneda_1 @ A )
= ( k12_ens_1 @ ( k17_ens_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(59,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(62,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(63,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(64,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( k17_ens_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(65,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ( v1_cat_1 @ ( k12_ens_1 @ A ) )
& ( v2_cat_1 @ ( k12_ens_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(66,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(67,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( m2_cat_1 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) )
& ( m2_relset_1 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(69,plain,
$true = $true,
inference(unfold_def,[status(thm)],[14]) ).
thf(70,plain,
$true = $true,
inference(unfold_def,[status(thm)],[15]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) ) )
=> ( ( v1_funct_1 @ ( k20_ens_1 @ A @ B ) )
& ( v1_funct_2 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) )
& ( m2_relset_1 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(72,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ( ( v2_cat_1 @ ( k1_yoneda_1 @ A ) )
& ( l1_cat_1 @ ( k1_yoneda_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(73,plain,
$true = $true,
inference(unfold_def,[status(thm)],[18]) ).
thf(74,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( l1_cat_1 @ ( k12_ens_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ? [C: $i] : ( m2_cat_1 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(76,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(77,plain,
( ( ? [A: $i] : ( l1_cat_1 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(81,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)],[26]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(83,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_ens_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(84,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(85,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u2_cat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(87,plain,
$true = $true,
inference(unfold_def,[status(thm)],[32]) ).
thf(88,plain,
$true = $true,
inference(unfold_def,[status(thm)],[33]) ).
thf(89,plain,
$true = $true,
inference(unfold_def,[status(thm)],[34]) ).
thf(90,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(92,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_cat_1 @ A )
=> ( A
= ( g1_cat_1 @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u3_cat_1 @ A ) @ ( u4_cat_1 @ A ) @ ( u5_cat_1 @ A ) @ ( u6_cat_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(94,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(95,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u6_cat_1 @ A ) )
& ( v1_funct_2 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) )
& ( m2_relset_1 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(96,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u5_cat_1 @ A ) )
& ( m2_relset_1 @ ( u5_cat_1 @ A ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) @ ( u2_cat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(97,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u4_cat_1 @ A ) )
& ( v1_funct_2 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) )
& ( m2_relset_1 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(98,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ( ( v1_funct_1 @ ( u3_cat_1 @ A ) )
& ( v1_funct_2 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) )
& ( m2_relset_1 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(99,plain,
$true = $true,
inference(unfold_def,[status(thm)],[44]) ).
thf(100,plain,
$true = $true,
inference(unfold_def,[status(thm)],[45]) ).
thf(101,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ B @ A )
& ( m1_relset_1 @ C @ B @ A )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ B @ A )
& ( m1_relset_1 @ D @ B @ A )
& ( v1_funct_1 @ E )
& ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( v1_funct_1 @ F )
& ( v1_funct_2 @ F @ A @ B )
& ( m1_relset_1 @ F @ A @ B ) )
=> ( ( v1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) )
& ( l1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(102,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(103,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ B @ A )
& ( m1_relset_1 @ C @ B @ A )
& ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ B @ A )
& ( m1_relset_1 @ D @ B @ A )
& ( v1_funct_1 @ E )
& ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( v1_funct_1 @ F )
& ( v1_funct_2 @ F @ A @ B )
& ( m1_relset_1 @ F @ A @ B ) )
=> ! [G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
=> ( ( A = G )
& ( B = H )
& ( C = I )
& ( D = J )
& ( E = K )
& ( F = L ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(104,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(105,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(106,plain,
( ( ! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_xboole_0 @ A )
& ( v1_funct_1 @ A ) )
=> ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(107,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(108,plain,
( ( ( ( v2_cat_1 @ sK1_A )
& ( l1_cat_1 @ sK1_A ) )
=> ! [SY90: $i] :
( ( m1_subset_1 @ SY90 @ ( u1_cat_1 @ sK1_A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[55]) ).
thf(109,plain,
( ( v2_cat_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[108]) ).
thf(110,plain,
( ( l1_cat_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[108]) ).
thf(111,plain,
( ( ! [SY90: $i] :
( ( m1_subset_1 @ SY90 @ ( u1_cat_1 @ sK1_A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[108]) ).
thf(112,plain,
( ( ~ ! [SY90: $i] :
( ( m1_subset_1 @ SY90 @ ( u1_cat_1 @ sK1_A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[111]) ).
thf(113,plain,
( ( ( m1_subset_1 @ sK2_SY90 @ ( u1_cat_1 @ sK1_A ) )
& ~ ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ sK2_SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(114,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
( ~ ( l1_cat_1 @ B )
| ~ ( v2_cat_1 @ B )
| ! [C: $i] :
( ~ ( m1_subset_1 @ C @ ( u1_cat_1 @ B ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ B ) @ A )
| ( m2_cat_1 @ ( k20_ens_1 @ B @ C ) @ B @ ( k12_ens_1 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(115,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ( ( k1_yoneda_1 @ A )
= ( k12_ens_1 @ ( k17_ens_1 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(116,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(117,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
| ( r1_tarski @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( r1_tarski @ A @ B )
| ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(120,plain,
( ( ~ ( v1_xboole_0 @ sK3_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(121,plain,
( ( v1_xboole_0 @ sK4_A )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(122,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( v1_xboole_0 @ ( k17_ens_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(123,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v1_cat_1 @ ( k12_ens_1 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_cat_1 @ ( k12_ens_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(124,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_funct_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(125,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v1_xboole_0 @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(126,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( v2_cat_1 @ B )
| ~ ( l1_cat_1 @ B )
| ( ! [C: $i] :
( ~ ( m2_cat_1 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m2_cat_1 @ C @ A @ B )
| ( v1_funct_2 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) ) )
& ! [C: $i] :
( ~ ( m2_cat_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(127,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
| ( v1_funct_1 @ ( k20_ens_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
| ( v1_funct_2 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
| ( m2_relset_1 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(128,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ( l1_cat_1 @ ( k1_yoneda_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ( v2_cat_1 @ ( k1_yoneda_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(129,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l1_cat_1 @ ( k12_ens_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(130,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( v2_cat_1 @ B )
| ~ ( l1_cat_1 @ B )
| ( m2_cat_1 @ ( sK5_C @ B @ A ) @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(131,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK6_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(132,plain,
( ( l1_cat_1 @ sK7_A )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(133,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(134,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(135,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(136,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(137,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(138,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ ( k2_ens_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(139,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v1_xboole_0 @ ( u2_cat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(140,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(141,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ A @ B ) )
& ! [B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_relset_1 @ C @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(142,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK8_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(143,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v1_cat_1 @ A )
| ( A
= ( g1_cat_1 @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u3_cat_1 @ A ) @ ( u4_cat_1 @ A ) @ ( u5_cat_1 @ A ) @ ( u6_cat_1 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(144,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(145,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
| ( v1_relat_1 @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(146,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u6_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_2 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(147,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u5_cat_1 @ A ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) @ ( u2_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u5_cat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(148,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u4_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_2 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(149,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u3_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_2 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(150,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ! [E: $i,F: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ B @ A )
| ~ ( m1_relset_1 @ C @ B @ A )
| ~ ( v1_funct_1 @ D )
| ~ ( v1_funct_2 @ D @ B @ A )
| ~ ( m1_relset_1 @ D @ B @ A )
| ~ ( v1_funct_1 @ E )
| ~ ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
| ~ ( v1_funct_1 @ F )
| ~ ( v1_funct_2 @ F @ A @ B )
| ~ ( m1_relset_1 @ F @ A @ B )
| ( l1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) ) )
& ! [E: $i,F: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ B @ A )
| ~ ( m1_relset_1 @ C @ B @ A )
| ~ ( v1_funct_1 @ D )
| ~ ( v1_funct_2 @ D @ B @ A )
| ~ ( m1_relset_1 @ D @ B @ A )
| ~ ( v1_funct_1 @ E )
| ~ ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
| ~ ( v1_funct_1 @ F )
| ~ ( v1_funct_2 @ F @ A @ B )
| ~ ( m1_relset_1 @ F @ A @ B )
| ( v1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(151,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK9_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(152,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ B @ A )
| ~ ( m1_relset_1 @ C @ B @ A )
| ~ ( v1_funct_1 @ D )
| ~ ( v1_funct_2 @ D @ B @ A )
| ~ ( m1_relset_1 @ D @ B @ A )
| ~ ( v1_funct_1 @ E )
| ~ ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
| ~ ( v1_funct_1 @ F )
| ~ ( v1_funct_2 @ F @ A @ B )
| ~ ( m1_relset_1 @ F @ A @ B )
| ! [G: $i,H: $i,I: $i,J: $i] :
( ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( A = G ) )
& ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( B = H ) )
& ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( C = I ) )
& ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( D = J ) )
& ! [K: $i] :
( ! [L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( E = K ) )
& ! [K: $i,L: $i] :
( ( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( F = L ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(153,plain,
( ( ( v1_relat_1 @ sK10_A )
& ( v1_xboole_0 @ sK10_A )
& ( v1_funct_1 @ sK10_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[104]) ).
thf(154,plain,
( ( ( v1_funct_1 @ sK11_A )
& ( v1_relat_1 @ sK11_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(155,plain,
( ( ! [A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ A )
| ( v1_funct_1 @ A ) )
& ! [A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ A )
| ( v1_relat_1 @ A ) )
& ! [A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ A )
| ( v2_funct_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(156,plain,
( ( ( v1_funct_1 @ sK12_A )
& ( v1_relat_1 @ sK12_A )
& ( v2_funct_1 @ sK12_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(157,plain,
( ( ( v1_funct_1 @ sK12_A )
& ( v1_relat_1 @ sK12_A )
& ( v2_funct_1 @ sK12_A ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(158,plain,
( ( ! [A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ A )
| ( v1_funct_1 @ A ) )
& ! [A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ A )
| ( v1_relat_1 @ A ) )
& ! [A: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_funct_1 @ A )
| ( v2_funct_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(159,plain,
( ( ( v1_funct_1 @ sK11_A )
& ( v1_relat_1 @ sK11_A ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(160,plain,
( ( ( v1_relat_1 @ sK10_A )
& ( v1_xboole_0 @ sK10_A )
& ( v1_funct_1 @ sK10_A ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(161,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ B @ A )
| ~ ( m1_relset_1 @ C @ B @ A )
| ~ ( v1_funct_1 @ D )
| ~ ( v1_funct_2 @ D @ B @ A )
| ~ ( m1_relset_1 @ D @ B @ A )
| ~ ( v1_funct_1 @ E )
| ~ ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
| ~ ( v1_funct_1 @ F )
| ~ ( v1_funct_2 @ F @ A @ B )
| ~ ( m1_relset_1 @ F @ A @ B )
| ! [G: $i,H: $i,I: $i,J: $i] :
( ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( A = G ) )
& ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( B = H ) )
& ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( C = I ) )
& ( ! [K: $i,L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( D = J ) )
& ! [K: $i] :
( ! [L: $i] :
( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( E = K ) )
& ! [K: $i,L: $i] :
( ( ( g1_cat_1 @ A @ B @ C @ D @ E @ F )
!= ( g1_cat_1 @ G @ H @ I @ J @ K @ L ) )
| ( F = L ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(162,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK9_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(163,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ! [E: $i,F: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ B @ A )
| ~ ( m1_relset_1 @ C @ B @ A )
| ~ ( v1_funct_1 @ D )
| ~ ( v1_funct_2 @ D @ B @ A )
| ~ ( m1_relset_1 @ D @ B @ A )
| ~ ( v1_funct_1 @ E )
| ~ ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
| ~ ( v1_funct_1 @ F )
| ~ ( v1_funct_2 @ F @ A @ B )
| ~ ( m1_relset_1 @ F @ A @ B )
| ( l1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) ) )
& ! [E: $i,F: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ B @ A )
| ~ ( m1_relset_1 @ C @ B @ A )
| ~ ( v1_funct_1 @ D )
| ~ ( v1_funct_2 @ D @ B @ A )
| ~ ( m1_relset_1 @ D @ B @ A )
| ~ ( v1_funct_1 @ E )
| ~ ( m1_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
| ~ ( v1_funct_1 @ F )
| ~ ( v1_funct_2 @ F @ A @ B )
| ~ ( m1_relset_1 @ F @ A @ B )
| ( v1_cat_1 @ ( g1_cat_1 @ A @ B @ C @ D @ E @ F ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(164,plain,
$true = $true,
inference(copy,[status(thm)],[100]) ).
thf(165,plain,
$true = $true,
inference(copy,[status(thm)],[99]) ).
thf(166,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u3_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_2 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u3_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(167,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u4_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_2 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u4_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(168,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u5_cat_1 @ A ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) @ ( u2_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u5_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(169,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_1 @ ( u6_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( v1_funct_2 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ( m2_relset_1 @ ( u6_cat_1 @ A ) @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(170,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
| ( v1_relat_1 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(171,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(172,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v1_cat_1 @ A )
| ( A
= ( g1_cat_1 @ ( u1_cat_1 @ A ) @ ( u2_cat_1 @ A ) @ ( u3_cat_1 @ A ) @ ( u4_cat_1 @ A ) @ ( u5_cat_1 @ A ) @ ( u6_cat_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(173,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK8_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(174,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ A @ B ) )
& ! [B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_relset_1 @ C @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(175,plain,
$true = $true,
inference(copy,[status(thm)],[89]) ).
thf(176,plain,
$true = $true,
inference(copy,[status(thm)],[88]) ).
thf(177,plain,
$true = $true,
inference(copy,[status(thm)],[87]) ).
thf(178,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(179,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v1_xboole_0 @ ( u2_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(180,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(181,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ ( k2_ens_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(182,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(183,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(184,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
| ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(185,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(186,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(187,plain,
( ( l1_cat_1 @ sK7_A )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(188,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK6_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(189,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( v2_cat_1 @ B )
| ~ ( l1_cat_1 @ B )
| ( m2_cat_1 @ ( sK5_C @ B @ A ) @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(190,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l1_cat_1 @ ( k12_ens_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(191,plain,
$true = $true,
inference(copy,[status(thm)],[73]) ).
thf(192,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ( l1_cat_1 @ ( k1_yoneda_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ( v2_cat_1 @ ( k1_yoneda_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(193,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
| ( v1_funct_1 @ ( k20_ens_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
| ( v1_funct_2 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
| ( m2_relset_1 @ ( k20_ens_1 @ A @ B ) @ ( u2_cat_1 @ A ) @ ( k2_ens_1 @ ( k17_ens_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(194,plain,
$true = $true,
inference(copy,[status(thm)],[70]) ).
thf(195,plain,
$true = $true,
inference(copy,[status(thm)],[69]) ).
thf(196,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( v2_cat_1 @ B )
| ~ ( l1_cat_1 @ B )
| ( ! [C: $i] :
( ~ ( m2_cat_1 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m2_cat_1 @ C @ A @ B )
| ( v1_funct_2 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) ) )
& ! [C: $i] :
( ~ ( m2_cat_1 @ C @ A @ B )
| ( m2_relset_1 @ C @ ( u2_cat_1 @ A ) @ ( u2_cat_1 @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(197,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v1_xboole_0 @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(198,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_funct_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(199,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v1_cat_1 @ ( k12_ens_1 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_cat_1 @ ( k12_ens_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(200,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ~ ( v1_xboole_0 @ ( k17_ens_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(201,plain,
( ( v1_xboole_0 @ sK4_A )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(202,plain,
( ( ~ ( v1_xboole_0 @ sK3_A ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(203,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(204,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
| ( r1_tarski @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( r1_tarski @ A @ B )
| ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(205,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(206,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(207,plain,
( ( ! [A: $i] :
( ~ ( l1_cat_1 @ A )
| ~ ( v2_cat_1 @ A )
| ( ( k1_yoneda_1 @ A )
= ( k12_ens_1 @ ( k17_ens_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(208,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
( ~ ( l1_cat_1 @ B )
| ~ ( v2_cat_1 @ B )
| ! [C: $i] :
( ~ ( m1_subset_1 @ C @ ( u1_cat_1 @ B ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ B ) @ A )
| ( m2_cat_1 @ ( k20_ens_1 @ B @ C ) @ B @ ( k12_ens_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(209,plain,
( ( l1_cat_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(210,plain,
( ( v2_cat_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(211,plain,
( ( ( m1_subset_1 @ sK2_SY90 @ ( u1_cat_1 @ sK1_A ) )
& ~ ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ sK2_SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(212,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ! [SX4: $i,SX5: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_xboole_0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX1 @ SX0 )
| ~ ( m1_relset_1 @ SX2 @ SX1 @ SX0 )
| ~ ( v1_funct_1 @ SX3 )
| ~ ( v1_funct_2 @ SX3 @ SX1 @ SX0 )
| ~ ( m1_relset_1 @ SX3 @ SX1 @ SX0 )
| ~ ( v1_funct_1 @ SX4 )
| ~ ( m1_relset_1 @ SX4 @ ( k2_zfmisc_1 @ SX1 @ SX1 ) @ SX1 )
| ~ ( v1_funct_1 @ SX5 )
| ~ ( v1_funct_2 @ SX5 @ SX0 @ SX1 )
| ~ ( m1_relset_1 @ SX5 @ SX0 @ SX1 )
| ( l1_cat_1 @ ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
| ~ ! [SX4: $i,SX5: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_xboole_0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX1 @ SX0 )
| ~ ( m1_relset_1 @ SX2 @ SX1 @ SX0 )
| ~ ( v1_funct_1 @ SX3 )
| ~ ( v1_funct_2 @ SX3 @ SX1 @ SX0 )
| ~ ( m1_relset_1 @ SX3 @ SX1 @ SX0 )
| ~ ( v1_funct_1 @ SX4 )
| ~ ( m1_relset_1 @ SX4 @ ( k2_zfmisc_1 @ SX1 @ SX1 ) @ SX1 )
| ~ ( v1_funct_1 @ SX5 )
| ~ ( v1_funct_2 @ SX5 @ SX0 @ SX1 )
| ~ ( m1_relset_1 @ SX5 @ SX0 @ SX1 )
| ( v1_cat_1 @ ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(213,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_funct_1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v2_funct_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(214,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX1 )
| ~ ( l1_cat_1 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( m2_cat_1 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( m2_cat_1 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_2 @ SX2 @ ( u2_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX1 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( m2_cat_1 @ SX2 @ SX0 @ SX1 )
| ( m2_relset_1 @ SX2 @ ( u2_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(215,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( m2_relset_1 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(216,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u4_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(217,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u3_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(218,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_relset_1 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(219,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u6_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(220,plain,
( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK12_A )
| ~ ( v1_relat_1 @ sK12_A ) )
| ~ ( v2_funct_1 @ sK12_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(221,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_xboole_0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX1 @ SX0 )
| ~ ( m1_relset_1 @ SX2 @ SX1 @ SX0 )
| ~ ( v1_funct_1 @ SX3 )
| ~ ( v1_funct_2 @ SX3 @ SX1 @ SX0 )
| ~ ( m1_relset_1 @ SX3 @ SX1 @ SX0 )
| ~ ( v1_funct_1 @ SX4 )
| ~ ( m1_relset_1 @ SX4 @ ( k2_zfmisc_1 @ SX1 @ SX1 ) @ SX1 )
| ~ ( v1_funct_1 @ SX5 )
| ~ ( v1_funct_2 @ SX5 @ SX0 @ SX1 )
| ~ ( m1_relset_1 @ SX5 @ SX0 @ SX1 )
| ! [SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX10: $i,SX11: $i] :
( ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
!= ( g1_cat_1 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
| ( SX0 = SX6 ) )
| ~ ( ! [SX10: $i,SX11: $i] :
( ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
!= ( g1_cat_1 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
| ( SX1 = SX7 ) ) )
| ~ ( ! [SX10: $i,SX11: $i] :
( ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
!= ( g1_cat_1 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
| ( SX2 = SX8 ) ) )
| ~ ( ! [SX10: $i,SX11: $i] :
( ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
!= ( g1_cat_1 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
| ( SX3 = SX9 ) ) )
| ~ ! [SX10: $i] :
( ! [SX11: $i] :
( ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
!= ( g1_cat_1 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
| ( SX4 = SX10 ) ) )
| ~ ! [SX10: $i,SX11: $i] :
( ( ( g1_cat_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
!= ( g1_cat_1 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
| ( SX5 = SX11 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(222,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_cat_1 @ ( k12_ens_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_cat_1 @ ( k12_ens_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(223,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( l1_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( v2_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(224,plain,
( ( ~ ( ~ ( m1_subset_1 @ sK2_SY90 @ ( u1_cat_1 @ sK1_A ) )
| ~ ~ ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ sK2_SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(225,plain,
( ( ~ ( ~ ( v1_funct_1 @ sK11_A )
| ~ ( v1_relat_1 @ sK11_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(226,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(227,plain,
( ( ~ ( ~ ~ ( ~ ( v1_relat_1 @ sK10_A )
| ~ ( v1_xboole_0 @ sK10_A ) )
| ~ ( v1_funct_1 @ sK10_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(228,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u5_cat_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) @ ( u2_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u5_cat_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(229,plain,
! [SV1: $i] :
( ( ! [SY91: $i] : ( m1_relset_1 @ ( sK9_C @ SY91 @ SV1 ) @ SV1 @ SY91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(230,plain,
! [SV2: $i] :
( ( ! [SY92: $i,SY93: $i] :
( ~ ( m1_subset_1 @ SY93 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV2 @ SY92 ) ) )
| ( v1_relat_1 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(231,plain,
! [SV3: $i] :
( ( ! [SY94: $i] :
( ~ ( r2_hidden @ SV3 @ SY94 )
| ~ ( r2_hidden @ SY94 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(232,plain,
! [SV4: $i] :
( ( ~ ( l1_cat_1 @ SV4 )
| ~ ( v1_cat_1 @ SV4 )
| ( SV4
= ( g1_cat_1 @ ( u1_cat_1 @ SV4 ) @ ( u2_cat_1 @ SV4 ) @ ( u3_cat_1 @ SV4 ) @ ( u4_cat_1 @ SV4 ) @ ( u5_cat_1 @ SV4 ) @ ( u6_cat_1 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(233,plain,
! [SV5: $i] :
( ( ! [SY95: $i] : ( m2_relset_1 @ ( sK8_C @ SY95 @ SV5 ) @ SV5 @ SY95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(234,plain,
! [SV6: $i] :
( ( ! [SY96: $i,SY97: $i] :
( ~ ( m2_relset_1 @ SY97 @ SV6 @ SY96 )
| ( m1_subset_1 @ SY97 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SY96 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(235,plain,
! [SV7: $i] :
( ( ~ ( l1_cat_1 @ SV7 )
| ~ ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(236,plain,
! [SV8: $i] :
( ( ( v1_xboole_0 @ SV8 )
| ~ ( v1_xboole_0 @ ( k2_ens_1 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(237,plain,
! [SV9: $i] :
( ( ! [SY98: $i] :
( ~ ( r2_hidden @ SV9 @ SY98 )
| ( m1_subset_1 @ SV9 @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(238,plain,
! [SV10: $i] :
( ( ! [SY99: $i,SY100: $i] :
( ~ ( m1_subset_1 @ SY99 @ ( k1_zfmisc_1 @ SY100 ) )
| ~ ( r2_hidden @ SV10 @ SY99 )
| ( m1_subset_1 @ SV10 @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(239,plain,
! [SV11: $i] :
( ( ! [SY101: $i,SY102: $i] :
( ~ ( m1_subset_1 @ SY101 @ ( k1_zfmisc_1 @ SY102 ) )
| ~ ( r2_hidden @ SV11 @ SY101 )
| ~ ( v1_xboole_0 @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(240,plain,
! [SV12: $i] :
( ( ! [SY103: $i] :
( ( SV12 = SY103 )
| ~ ( v1_xboole_0 @ SV12 )
| ~ ( v1_xboole_0 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(241,plain,
! [SV13: $i] :
( ( r1_tarski @ SV13 @ SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(242,plain,
! [SV14: $i] :
( ( m1_subset_1 @ ( sK6_B @ SV14 ) @ SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(243,plain,
! [SV15: $i] :
( ( ! [SY104: $i] :
( ~ ( l1_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SY104 )
| ~ ( l1_cat_1 @ SY104 )
| ( m2_cat_1 @ ( sK5_C @ SY104 @ SV15 ) @ SV15 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(244,plain,
! [SV16: $i] :
( ( ( v1_xboole_0 @ SV16 )
| ( l1_cat_1 @ ( k12_ens_1 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(245,plain,
! [SV17: $i] :
( ( ~ ( l1_cat_1 @ SV17 )
| ~ ( v1_xboole_0 @ ( u1_cat_1 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(246,plain,
! [SV18: $i] :
( ( ~ ( v1_xboole_0 @ SV18 )
| ( v1_funct_1 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(247,plain,
! [SV19: $i] :
( ( ~ ( l1_cat_1 @ SV19 )
| ~ ( v2_cat_1 @ SV19 )
| ~ ( v1_xboole_0 @ ( k17_ens_1 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(248,plain,
( ( v1_xboole_0 @ sK3_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(249,plain,
! [SV20: $i] :
( ( ! [SY105: $i] :
( ~ ( m1_subset_1 @ SV20 @ SY105 )
| ( r2_hidden @ SV20 @ SY105 )
| ( v1_xboole_0 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(250,plain,
! [SV21: $i] :
( ( ~ ( v1_xboole_0 @ SV21 )
| ( SV21 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(251,plain,
! [SV22: $i] :
( ( ! [SY106: $i] :
( ~ ( r2_hidden @ SV22 @ SY106 )
| ~ ( v1_xboole_0 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(252,plain,
! [SV23: $i] :
( ( ~ ( l1_cat_1 @ SV23 )
| ~ ( v2_cat_1 @ SV23 )
| ( ( k1_yoneda_1 @ SV23 )
= ( k12_ens_1 @ ( k17_ens_1 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(253,plain,
! [SV24: $i] :
( ( ( v1_xboole_0 @ SV24 )
| ! [SY107: $i] :
( ~ ( l1_cat_1 @ SY107 )
| ~ ( v2_cat_1 @ SY107 )
| ! [SY108: $i] :
( ~ ( m1_subset_1 @ SY108 @ ( u1_cat_1 @ SY107 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SY107 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SY107 @ SY108 ) @ SY107 @ ( k12_ens_1 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(254,plain,
! [SV25: $i] :
( ( ! [SY109: $i,SY110: $i,SY111: $i] :
~ ( ~ ! [SY112: $i,SY113: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SY109 )
| ~ ( v1_funct_1 @ SY110 )
| ~ ( v1_funct_2 @ SY110 @ SY109 @ SV25 )
| ~ ( m1_relset_1 @ SY110 @ SY109 @ SV25 )
| ~ ( v1_funct_1 @ SY111 )
| ~ ( v1_funct_2 @ SY111 @ SY109 @ SV25 )
| ~ ( m1_relset_1 @ SY111 @ SY109 @ SV25 )
| ~ ( v1_funct_1 @ SY112 )
| ~ ( m1_relset_1 @ SY112 @ ( k2_zfmisc_1 @ SY109 @ SY109 ) @ SY109 )
| ~ ( v1_funct_1 @ SY113 )
| ~ ( v1_funct_2 @ SY113 @ SV25 @ SY109 )
| ~ ( m1_relset_1 @ SY113 @ SV25 @ SY109 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SY109 @ SY110 @ SY111 @ SY112 @ SY113 ) ) )
| ~ ! [SY114: $i,SY115: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SY109 )
| ~ ( v1_funct_1 @ SY110 )
| ~ ( v1_funct_2 @ SY110 @ SY109 @ SV25 )
| ~ ( m1_relset_1 @ SY110 @ SY109 @ SV25 )
| ~ ( v1_funct_1 @ SY111 )
| ~ ( v1_funct_2 @ SY111 @ SY109 @ SV25 )
| ~ ( m1_relset_1 @ SY111 @ SY109 @ SV25 )
| ~ ( v1_funct_1 @ SY114 )
| ~ ( m1_relset_1 @ SY114 @ ( k2_zfmisc_1 @ SY109 @ SY109 ) @ SY109 )
| ~ ( v1_funct_1 @ SY115 )
| ~ ( v1_funct_2 @ SY115 @ SV25 @ SY109 )
| ~ ( m1_relset_1 @ SY115 @ SV25 @ SY109 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SY109 @ SY110 @ SY111 @ SY114 @ SY115 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(255,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_funct_1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v2_funct_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(256,plain,
! [SV26: $i] :
( ( ! [SY116: $i] :
( ~ ( l1_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SY116 )
| ~ ( l1_cat_1 @ SY116 )
| ~ ( ~ ~ ( ~ ! [SY117: $i] :
( ~ ( m2_cat_1 @ SY117 @ SV26 @ SY116 )
| ( v1_funct_1 @ SY117 ) )
| ~ ! [SY118: $i] :
( ~ ( m2_cat_1 @ SY118 @ SV26 @ SY116 )
| ( v1_funct_2 @ SY118 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SY116 ) ) ) )
| ~ ! [SY119: $i] :
( ~ ( m2_cat_1 @ SY119 @ SV26 @ SY116 )
| ( m2_relset_1 @ SY119 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SY116 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(257,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( m2_relset_1 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(258,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u4_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(259,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u3_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(260,plain,
! [SV27: $i] :
( ( ~ ( ~ ! [SY120: $i,SY121: $i] :
( ~ ( m1_relset_1 @ SY121 @ SV27 @ SY120 )
| ( m2_relset_1 @ SY121 @ SV27 @ SY120 ) )
| ~ ! [SY122: $i,SY123: $i] :
( ~ ( m2_relset_1 @ SY123 @ SV27 @ SY122 )
| ( m1_relset_1 @ SY123 @ SV27 @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(261,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u6_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(262,plain,
( ( ~ ~ ( ~ ( v1_funct_1 @ sK12_A )
| ~ ( v1_relat_1 @ sK12_A ) )
| ~ ( v2_funct_1 @ sK12_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(263,plain,
! [SV28: $i] :
( ( ! [SY124: $i,SY125: $i,SY126: $i,SY127: $i,SY128: $i] :
( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SY124 )
| ~ ( v1_funct_1 @ SY125 )
| ~ ( v1_funct_2 @ SY125 @ SY124 @ SV28 )
| ~ ( m1_relset_1 @ SY125 @ SY124 @ SV28 )
| ~ ( v1_funct_1 @ SY126 )
| ~ ( v1_funct_2 @ SY126 @ SY124 @ SV28 )
| ~ ( m1_relset_1 @ SY126 @ SY124 @ SV28 )
| ~ ( v1_funct_1 @ SY127 )
| ~ ( m1_relset_1 @ SY127 @ ( k2_zfmisc_1 @ SY124 @ SY124 ) @ SY124 )
| ~ ( v1_funct_1 @ SY128 )
| ~ ( v1_funct_2 @ SY128 @ SV28 @ SY124 )
| ~ ( m1_relset_1 @ SY128 @ SV28 @ SY124 )
| ! [SY129: $i,SY130: $i,SY131: $i,SY132: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY133: $i,SY134: $i] :
( ( g1_cat_1 @ SV28 @ SY124 @ SY125 @ SY126 @ SY127 @ SY128 )
!= ( g1_cat_1 @ SY129 @ SY130 @ SY131 @ SY132 @ SY133 @ SY134 ) )
| ( SV28 = SY129 ) )
| ~ ( ! [SY135: $i,SY136: $i] :
( ( g1_cat_1 @ SV28 @ SY124 @ SY125 @ SY126 @ SY127 @ SY128 )
!= ( g1_cat_1 @ SY129 @ SY130 @ SY131 @ SY132 @ SY135 @ SY136 ) )
| ( SY124 = SY130 ) ) )
| ~ ( ! [SY137: $i,SY138: $i] :
( ( g1_cat_1 @ SV28 @ SY124 @ SY125 @ SY126 @ SY127 @ SY128 )
!= ( g1_cat_1 @ SY129 @ SY130 @ SY131 @ SY132 @ SY137 @ SY138 ) )
| ( SY125 = SY131 ) ) )
| ~ ( ! [SY139: $i,SY140: $i] :
( ( g1_cat_1 @ SV28 @ SY124 @ SY125 @ SY126 @ SY127 @ SY128 )
!= ( g1_cat_1 @ SY129 @ SY130 @ SY131 @ SY132 @ SY139 @ SY140 ) )
| ( SY126 = SY132 ) ) )
| ~ ! [SY141: $i] :
( ! [SY142: $i] :
( ( g1_cat_1 @ SV28 @ SY124 @ SY125 @ SY126 @ SY127 @ SY128 )
!= ( g1_cat_1 @ SY129 @ SY130 @ SY131 @ SY132 @ SY141 @ SY142 ) )
| ( SY127 = SY141 ) ) )
| ~ ! [SY143: $i,SY144: $i] :
( ( ( g1_cat_1 @ SV28 @ SY124 @ SY125 @ SY126 @ SY127 @ SY128 )
!= ( g1_cat_1 @ SY129 @ SY130 @ SY131 @ SY132 @ SY143 @ SY144 ) )
| ( SY128 = SY144 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(264,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_cat_1 @ ( k12_ens_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_cat_1 @ ( k12_ens_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(265,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( l1_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( v2_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(266,plain,
( ( ~ ( m1_subset_1 @ sK2_SY90 @ ( u1_cat_1 @ sK1_A ) )
| ~ ~ ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ sK2_SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(267,plain,
( ( ~ ( v1_funct_1 @ sK11_A )
| ~ ( v1_relat_1 @ sK11_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(268,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(269,plain,
( ( ~ ~ ( ~ ( v1_relat_1 @ sK10_A )
| ~ ( v1_xboole_0 @ sK10_A ) )
| ~ ( v1_funct_1 @ sK10_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(270,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u5_cat_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) @ ( u2_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u5_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(271,plain,
! [SV1: $i,SV29: $i] :
( ( m1_relset_1 @ ( sK9_C @ SV29 @ SV1 ) @ SV1 @ SV29 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(272,plain,
! [SV30: $i,SV2: $i] :
( ( ! [SY145: $i] :
( ~ ( m1_subset_1 @ SY145 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV2 @ SV30 ) ) )
| ( v1_relat_1 @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(273,plain,
! [SV31: $i,SV3: $i] :
( ( ~ ( r2_hidden @ SV3 @ SV31 )
| ~ ( r2_hidden @ SV31 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(274,plain,
! [SV4: $i] :
( ( ( ~ ( l1_cat_1 @ SV4 ) )
= $true )
| ( ( ~ ( v1_cat_1 @ SV4 )
| ( SV4
= ( g1_cat_1 @ ( u1_cat_1 @ SV4 ) @ ( u2_cat_1 @ SV4 ) @ ( u3_cat_1 @ SV4 ) @ ( u4_cat_1 @ SV4 ) @ ( u5_cat_1 @ SV4 ) @ ( u6_cat_1 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(275,plain,
! [SV5: $i,SV32: $i] :
( ( m2_relset_1 @ ( sK8_C @ SV32 @ SV5 ) @ SV5 @ SV32 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(276,plain,
! [SV33: $i,SV6: $i] :
( ( ! [SY146: $i] :
( ~ ( m2_relset_1 @ SY146 @ SV6 @ SV33 )
| ( m1_subset_1 @ SY146 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV33 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(277,plain,
! [SV7: $i] :
( ( ( ~ ( l1_cat_1 @ SV7 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(278,plain,
! [SV8: $i] :
( ( ( v1_xboole_0 @ SV8 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_ens_1 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(279,plain,
! [SV34: $i,SV9: $i] :
( ( ~ ( r2_hidden @ SV9 @ SV34 )
| ( m1_subset_1 @ SV9 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(280,plain,
! [SV10: $i,SV35: $i] :
( ( ! [SY147: $i] :
( ~ ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SY147 ) )
| ~ ( r2_hidden @ SV10 @ SV35 )
| ( m1_subset_1 @ SV10 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(281,plain,
! [SV11: $i,SV36: $i] :
( ( ! [SY148: $i] :
( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SY148 ) )
| ~ ( r2_hidden @ SV11 @ SV36 )
| ~ ( v1_xboole_0 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(282,plain,
! [SV37: $i,SV12: $i] :
( ( ( SV12 = SV37 )
| ~ ( v1_xboole_0 @ SV12 )
| ~ ( v1_xboole_0 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(283,plain,
! [SV38: $i,SV15: $i] :
( ( ~ ( l1_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV38 )
| ~ ( l1_cat_1 @ SV38 )
| ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(284,plain,
! [SV16: $i] :
( ( ( v1_xboole_0 @ SV16 )
= $true )
| ( ( l1_cat_1 @ ( k12_ens_1 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(285,plain,
! [SV17: $i] :
( ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_cat_1 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(286,plain,
! [SV18: $i] :
( ( ( ~ ( v1_xboole_0 @ SV18 ) )
= $true )
| ( ( v1_funct_1 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(287,plain,
! [SV19: $i] :
( ( ( ~ ( l1_cat_1 @ SV19 )
| ~ ( v2_cat_1 @ SV19 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k17_ens_1 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(288,plain,
! [SV39: $i,SV20: $i] :
( ( ~ ( m1_subset_1 @ SV20 @ SV39 )
| ( r2_hidden @ SV20 @ SV39 )
| ( v1_xboole_0 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(289,plain,
! [SV21: $i] :
( ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true )
| ( ( SV21 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(290,plain,
! [SV40: $i,SV22: $i] :
( ( ~ ( r2_hidden @ SV22 @ SV40 )
| ~ ( v1_xboole_0 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(291,plain,
! [SV23: $i] :
( ( ( ~ ( l1_cat_1 @ SV23 )
| ~ ( v2_cat_1 @ SV23 ) )
= $true )
| ( ( ( k1_yoneda_1 @ SV23 )
= ( k12_ens_1 @ ( k17_ens_1 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(292,plain,
! [SV24: $i] :
( ( ( v1_xboole_0 @ SV24 )
= $true )
| ( ( ! [SY107: $i] :
( ~ ( l1_cat_1 @ SY107 )
| ~ ( v2_cat_1 @ SY107 )
| ! [SY108: $i] :
( ~ ( m1_subset_1 @ SY108 @ ( u1_cat_1 @ SY107 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SY107 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SY107 @ SY108 ) @ SY107 @ ( k12_ens_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(293,plain,
! [SV41: $i,SV25: $i] :
( ( ! [SY149: $i,SY150: $i] :
~ ( ~ ! [SY151: $i,SY152: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SY149 )
| ~ ( v1_funct_2 @ SY149 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SY149 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY150 )
| ~ ( v1_funct_2 @ SY150 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SY150 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY151 )
| ~ ( m1_relset_1 @ SY151 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY152 )
| ~ ( v1_funct_2 @ SY152 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY152 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SY149 @ SY150 @ SY151 @ SY152 ) ) )
| ~ ! [SY153: $i,SY154: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SY149 )
| ~ ( v1_funct_2 @ SY149 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SY149 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY150 )
| ~ ( v1_funct_2 @ SY150 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SY150 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY153 )
| ~ ( m1_relset_1 @ SY153 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY154 )
| ~ ( v1_funct_2 @ SY154 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY154 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SY149 @ SY150 @ SY153 @ SY154 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(294,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_funct_1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(295,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v2_funct_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(296,plain,
! [SV42: $i,SV26: $i] :
( ( ~ ( l1_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV42 )
| ~ ( l1_cat_1 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(297,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(298,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( m2_relset_1 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(299,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u4_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(300,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(301,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u3_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(302,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(303,plain,
! [SV27: $i] :
( ( ~ ! [SY120: $i,SY121: $i] :
( ~ ( m1_relset_1 @ SY121 @ SV27 @ SY120 )
| ( m2_relset_1 @ SY121 @ SV27 @ SY120 ) )
| ~ ! [SY122: $i,SY123: $i] :
( ~ ( m2_relset_1 @ SY123 @ SV27 @ SY122 )
| ( m1_relset_1 @ SY123 @ SV27 @ SY122 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(304,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u6_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(305,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(306,plain,
( ( ~ ~ ( ~ ( v1_funct_1 @ sK12_A )
| ~ ( v1_relat_1 @ sK12_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(307,plain,
( ( ~ ( v2_funct_1 @ sK12_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(308,plain,
! [SV43: $i,SV28: $i] :
( ( ! [SY158: $i,SY159: $i,SY160: $i,SY161: $i] :
( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SY158 )
| ~ ( v1_funct_2 @ SY158 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SY158 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SY159 )
| ~ ( v1_funct_2 @ SY159 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SY159 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SY160 )
| ~ ( m1_relset_1 @ SY160 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SY161 )
| ~ ( v1_funct_2 @ SY161 @ SV28 @ SV43 )
| ~ ( m1_relset_1 @ SY161 @ SV28 @ SV43 )
| ! [SY162: $i,SY163: $i,SY164: $i,SY165: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY166: $i,SY167: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SY158 @ SY159 @ SY160 @ SY161 )
!= ( g1_cat_1 @ SY162 @ SY163 @ SY164 @ SY165 @ SY166 @ SY167 ) )
| ( SV28 = SY162 ) )
| ~ ( ! [SY168: $i,SY169: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SY158 @ SY159 @ SY160 @ SY161 )
!= ( g1_cat_1 @ SY162 @ SY163 @ SY164 @ SY165 @ SY168 @ SY169 ) )
| ( SV43 = SY163 ) ) )
| ~ ( ! [SY170: $i,SY171: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SY158 @ SY159 @ SY160 @ SY161 )
!= ( g1_cat_1 @ SY162 @ SY163 @ SY164 @ SY165 @ SY170 @ SY171 ) )
| ( SY158 = SY164 ) ) )
| ~ ( ! [SY172: $i,SY173: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SY158 @ SY159 @ SY160 @ SY161 )
!= ( g1_cat_1 @ SY162 @ SY163 @ SY164 @ SY165 @ SY172 @ SY173 ) )
| ( SY159 = SY165 ) ) )
| ~ ! [SY174: $i] :
( ! [SY175: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SY158 @ SY159 @ SY160 @ SY161 )
!= ( g1_cat_1 @ SY162 @ SY163 @ SY164 @ SY165 @ SY174 @ SY175 ) )
| ( SY160 = SY174 ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SY158 @ SY159 @ SY160 @ SY161 )
!= ( g1_cat_1 @ SY162 @ SY163 @ SY164 @ SY165 @ SY176 @ SY177 ) )
| ( SY161 = SY177 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(309,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_cat_1 @ ( k12_ens_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(310,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_cat_1 @ ( k12_ens_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(311,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( l1_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(312,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( v2_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(313,plain,
( ( ~ ( m1_subset_1 @ sK2_SY90 @ ( u1_cat_1 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(314,plain,
( ( ~ ~ ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ sK2_SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(315,plain,
( ( ~ ( v1_funct_1 @ sK11_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(316,plain,
( ( ~ ( v1_relat_1 @ sK11_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(317,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(318,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(319,plain,
( ( ~ ~ ( ~ ( v1_relat_1 @ sK10_A )
| ~ ( v1_xboole_0 @ sK10_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(320,plain,
( ( ~ ( v1_funct_1 @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(321,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u5_cat_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(322,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u5_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(323,plain,
! [SV30: $i,SV2: $i,SV44: $i] :
( ( ~ ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV2 @ SV30 ) ) )
| ( v1_relat_1 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(324,plain,
! [SV31: $i,SV3: $i] :
( ( ( ~ ( r2_hidden @ SV3 @ SV31 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV31 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(325,plain,
! [SV4: $i] :
( ( ( l1_cat_1 @ SV4 )
= $false )
| ( ( ~ ( v1_cat_1 @ SV4 )
| ( SV4
= ( g1_cat_1 @ ( u1_cat_1 @ SV4 ) @ ( u2_cat_1 @ SV4 ) @ ( u3_cat_1 @ SV4 ) @ ( u4_cat_1 @ SV4 ) @ ( u5_cat_1 @ SV4 ) @ ( u6_cat_1 @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(326,plain,
! [SV33: $i,SV6: $i,SV45: $i] :
( ( ~ ( m2_relset_1 @ SV45 @ SV6 @ SV33 )
| ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(327,plain,
! [SV7: $i] :
( ( ( l1_cat_1 @ SV7 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(328,plain,
! [SV8: $i] :
( ( ( v1_xboole_0 @ ( k2_ens_1 @ SV8 ) )
= $false )
| ( ( v1_xboole_0 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(329,plain,
! [SV34: $i,SV9: $i] :
( ( ( ~ ( r2_hidden @ SV9 @ SV34 ) )
= $true )
| ( ( m1_subset_1 @ SV9 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(330,plain,
! [SV10: $i,SV46: $i,SV35: $i] :
( ( ~ ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV46 ) )
| ~ ( r2_hidden @ SV10 @ SV35 )
| ( m1_subset_1 @ SV10 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(331,plain,
! [SV11: $i,SV47: $i,SV36: $i] :
( ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV47 ) )
| ~ ( r2_hidden @ SV11 @ SV36 )
| ~ ( v1_xboole_0 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(332,plain,
! [SV37: $i,SV12: $i] :
( ( ( ( SV12 = SV37 )
| ~ ( v1_xboole_0 @ SV12 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(333,plain,
! [SV38: $i,SV15: $i] :
( ( ( ~ ( l1_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV38 )
| ~ ( l1_cat_1 @ SV38 ) )
= $true )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(334,plain,
! [SV17: $i] :
( ( ( l1_cat_1 @ SV17 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( u1_cat_1 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(335,plain,
! [SV18: $i] :
( ( ( v1_xboole_0 @ SV18 )
= $false )
| ( ( v1_funct_1 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(336,plain,
! [SV19: $i] :
( ( ( ~ ( l1_cat_1 @ SV19 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV19 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k17_ens_1 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(337,plain,
! [SV39: $i,SV20: $i] :
( ( ( ~ ( m1_subset_1 @ SV20 @ SV39 ) )
= $true )
| ( ( ( r2_hidden @ SV20 @ SV39 )
| ( v1_xboole_0 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(338,plain,
! [SV21: $i] :
( ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( SV21 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(339,plain,
! [SV40: $i,SV22: $i] :
( ( ( ~ ( r2_hidden @ SV22 @ SV40 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(340,plain,
! [SV23: $i] :
( ( ( ~ ( l1_cat_1 @ SV23 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV23 ) )
= $true )
| ( ( ( k1_yoneda_1 @ SV23 )
= ( k12_ens_1 @ ( k17_ens_1 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(341,plain,
! [SV24: $i,SV48: $i] :
( ( ( ~ ( l1_cat_1 @ SV48 )
| ~ ( v2_cat_1 @ SV48 )
| ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ ( u1_cat_1 @ SV48 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SY178 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(342,plain,
! [SV49: $i,SV41: $i,SV25: $i] :
( ( ! [SY179: $i] :
~ ( ~ ! [SY180: $i,SY181: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY179 )
| ~ ( v1_funct_2 @ SY179 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SY179 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY180 )
| ~ ( m1_relset_1 @ SY180 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY181 )
| ~ ( v1_funct_2 @ SY181 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY181 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SY179 @ SY180 @ SY181 ) ) )
| ~ ! [SY182: $i,SY183: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY179 )
| ~ ( v1_funct_2 @ SY179 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SY179 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY182 )
| ~ ( m1_relset_1 @ SY182 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY183 )
| ~ ( v1_funct_2 @ SY183 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY183 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SY179 @ SY182 @ SY183 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(343,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_funct_1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(344,plain,
( ( ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v2_funct_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(345,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ( l1_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV42 )
| ~ ( l1_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(346,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(347,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( m2_relset_1 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(348,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u4_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(349,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(350,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u3_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(351,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(352,plain,
! [SV27: $i] :
( ( ~ ! [SY120: $i,SY121: $i] :
( ~ ( m1_relset_1 @ SY121 @ SV27 @ SY120 )
| ( m2_relset_1 @ SY121 @ SV27 @ SY120 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(353,plain,
! [SV27: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( m2_relset_1 @ SY123 @ SV27 @ SY122 )
| ( m1_relset_1 @ SY123 @ SV27 @ SY122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(354,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u6_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(355,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(356,plain,
( ( ~ ( ~ ( v1_funct_1 @ sK12_A )
| ~ ( v1_relat_1 @ sK12_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(357,plain,
( ( v2_funct_1 @ sK12_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(358,plain,
! [SV50: $i,SV43: $i,SV28: $i] :
( ( ! [SY184: $i,SY185: $i,SY186: $i] :
( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SY184 )
| ~ ( v1_funct_2 @ SY184 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SY184 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SY185 )
| ~ ( m1_relset_1 @ SY185 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SY186 )
| ~ ( v1_funct_2 @ SY186 @ SV28 @ SV43 )
| ~ ( m1_relset_1 @ SY186 @ SV28 @ SV43 )
| ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY191: $i,SY192: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SY184 @ SY185 @ SY186 )
!= ( g1_cat_1 @ SY187 @ SY188 @ SY189 @ SY190 @ SY191 @ SY192 ) )
| ( SV28 = SY187 ) )
| ~ ( ! [SY193: $i,SY194: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SY184 @ SY185 @ SY186 )
!= ( g1_cat_1 @ SY187 @ SY188 @ SY189 @ SY190 @ SY193 @ SY194 ) )
| ( SV43 = SY188 ) ) )
| ~ ( ! [SY195: $i,SY196: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SY184 @ SY185 @ SY186 )
!= ( g1_cat_1 @ SY187 @ SY188 @ SY189 @ SY190 @ SY195 @ SY196 ) )
| ( SV50 = SY189 ) ) )
| ~ ( ! [SY197: $i,SY198: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SY184 @ SY185 @ SY186 )
!= ( g1_cat_1 @ SY187 @ SY188 @ SY189 @ SY190 @ SY197 @ SY198 ) )
| ( SY184 = SY190 ) ) )
| ~ ! [SY199: $i] :
( ! [SY200: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SY184 @ SY185 @ SY186 )
!= ( g1_cat_1 @ SY187 @ SY188 @ SY189 @ SY190 @ SY199 @ SY200 ) )
| ( SY185 = SY199 ) ) )
| ~ ! [SY201: $i,SY202: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SY184 @ SY185 @ SY186 )
!= ( g1_cat_1 @ SY187 @ SY188 @ SY189 @ SY190 @ SY201 @ SY202 ) )
| ( SY186 = SY202 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(359,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_cat_1 @ ( k12_ens_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(360,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_cat_1 @ ( k12_ens_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(361,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( l1_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(362,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ( v2_cat_1 @ ( k1_yoneda_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(363,plain,
( ( m1_subset_1 @ sK2_SY90 @ ( u1_cat_1 @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(364,plain,
( ( ~ ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ sK2_SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(365,plain,
( ( v1_funct_1 @ sK11_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(366,plain,
( ( v1_relat_1 @ sK11_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(367,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(368,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(369,plain,
( ( ~ ( ~ ( v1_relat_1 @ sK10_A )
| ~ ( v1_xboole_0 @ sK10_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(370,plain,
( ( v1_funct_1 @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(371,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( m2_relset_1 @ ( u5_cat_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(372,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u5_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(373,plain,
! [SV30: $i,SV2: $i,SV44: $i] :
( ( ( ~ ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV2 @ SV30 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(374,plain,
! [SV31: $i,SV3: $i] :
( ( ( r2_hidden @ SV3 @ SV31 )
= $false )
| ( ( ~ ( r2_hidden @ SV31 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(375,plain,
! [SV4: $i] :
( ( ( ~ ( v1_cat_1 @ SV4 ) )
= $true )
| ( ( SV4
= ( g1_cat_1 @ ( u1_cat_1 @ SV4 ) @ ( u2_cat_1 @ SV4 ) @ ( u3_cat_1 @ SV4 ) @ ( u4_cat_1 @ SV4 ) @ ( u5_cat_1 @ SV4 ) @ ( u6_cat_1 @ SV4 ) ) )
= $true )
| ( ( l1_cat_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(376,plain,
! [SV33: $i,SV6: $i,SV45: $i] :
( ( ( ~ ( m2_relset_1 @ SV45 @ SV6 @ SV33 ) )
= $true )
| ( ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(377,plain,
! [SV7: $i] :
( ( ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) )
= $false )
| ( ( l1_cat_1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(378,plain,
! [SV34: $i,SV9: $i] :
( ( ( r2_hidden @ SV9 @ SV34 )
= $false )
| ( ( m1_subset_1 @ SV9 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(379,plain,
! [SV10: $i,SV46: $i,SV35: $i] :
( ( ( ~ ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV46 ) )
| ~ ( r2_hidden @ SV10 @ SV35 ) )
= $true )
| ( ( m1_subset_1 @ SV10 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(380,plain,
! [SV11: $i,SV47: $i,SV36: $i] :
( ( ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV47 ) )
| ~ ( r2_hidden @ SV11 @ SV36 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(381,plain,
! [SV37: $i,SV12: $i] :
( ( ( SV12 = SV37 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV12 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(382,plain,
! [SV38: $i,SV15: $i] :
( ( ( ~ ( l1_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV38 ) )
= $true )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(383,plain,
! [SV17: $i] :
( ( ( v1_xboole_0 @ ( u1_cat_1 @ SV17 ) )
= $false )
| ( ( l1_cat_1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(384,plain,
! [SV19: $i] :
( ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV19 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k17_ens_1 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(385,plain,
! [SV39: $i,SV20: $i] :
( ( ( m1_subset_1 @ SV20 @ SV39 )
= $false )
| ( ( ( r2_hidden @ SV20 @ SV39 )
| ( v1_xboole_0 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(386,plain,
! [SV40: $i,SV22: $i] :
( ( ( r2_hidden @ SV22 @ SV40 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(387,plain,
! [SV23: $i] :
( ( ( l1_cat_1 @ SV23 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV23 ) )
= $true )
| ( ( ( k1_yoneda_1 @ SV23 )
= ( k12_ens_1 @ ( k17_ens_1 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(388,plain,
! [SV24: $i,SV48: $i] :
( ( ( ~ ( l1_cat_1 @ SV48 )
| ~ ( v2_cat_1 @ SV48 ) )
= $true )
| ( ( ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ ( u1_cat_1 @ SV48 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SY178 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(389,plain,
! [SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ~ ( ~ ! [SY203: $i,SY204: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY203 )
| ~ ( m1_relset_1 @ SY203 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY204 )
| ~ ( v1_funct_2 @ SY204 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY204 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY203 @ SY204 ) ) )
| ~ ! [SY205: $i,SY206: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY205 )
| ~ ( m1_relset_1 @ SY205 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY206 )
| ~ ( v1_funct_2 @ SY206 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY206 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY205 @ SY206 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(390,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_funct_1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(391,plain,
! [SV52: $i] :
( ( ~ ( v1_relat_1 @ SV52 )
| ~ ( v1_xboole_0 @ SV52 )
| ~ ( v1_funct_1 @ SV52 )
| ( v2_funct_1 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(392,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ( l1_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(393,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(394,plain,
! [SV53: $i] :
( ( ! [SY207: $i] :
( ~ ( l1_cat_1 @ SV53 )
| ~ ( v2_cat_1 @ SV53 )
| ~ ( m1_subset_1 @ SY207 @ ( u1_cat_1 @ SV53 ) )
| ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SY207 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(395,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u4_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(396,plain,
! [SV54: $i] :
( ( ~ ( l1_cat_1 @ SV54 )
| ( m2_relset_1 @ ( u4_cat_1 @ SV54 ) @ ( u2_cat_1 @ SV54 ) @ ( u1_cat_1 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(397,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u3_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(398,plain,
! [SV55: $i] :
( ( ~ ( l1_cat_1 @ SV55 )
| ( m2_relset_1 @ ( u3_cat_1 @ SV55 ) @ ( u2_cat_1 @ SV55 ) @ ( u1_cat_1 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(399,plain,
! [SV27: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ~ ( m1_relset_1 @ SY121 @ SV27 @ SY120 )
| ( m2_relset_1 @ SY121 @ SV27 @ SY120 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(400,plain,
! [SV27: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ~ ( m2_relset_1 @ SY123 @ SV27 @ SY122 )
| ( m1_relset_1 @ SY123 @ SV27 @ SY122 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(401,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u6_cat_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(402,plain,
! [SV56: $i] :
( ( ~ ( l1_cat_1 @ SV56 )
| ( m2_relset_1 @ ( u6_cat_1 @ SV56 ) @ ( u1_cat_1 @ SV56 ) @ ( u2_cat_1 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(403,plain,
( ( ~ ( v1_funct_1 @ sK12_A )
| ~ ( v1_relat_1 @ sK12_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(404,plain,
! [SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ! [SY208: $i,SY209: $i] :
( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SY208 )
| ~ ( m1_relset_1 @ SY208 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SY209 )
| ~ ( v1_funct_2 @ SY209 @ SV28 @ SV43 )
| ~ ( m1_relset_1 @ SY209 @ SV28 @ SV43 )
| ! [SY210: $i,SY211: $i,SY212: $i,SY213: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY214: $i,SY215: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SY208 @ SY209 )
!= ( g1_cat_1 @ SY210 @ SY211 @ SY212 @ SY213 @ SY214 @ SY215 ) )
| ( SV28 = SY210 ) )
| ~ ( ! [SY216: $i,SY217: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SY208 @ SY209 )
!= ( g1_cat_1 @ SY210 @ SY211 @ SY212 @ SY213 @ SY216 @ SY217 ) )
| ( SV43 = SY211 ) ) )
| ~ ( ! [SY218: $i,SY219: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SY208 @ SY209 )
!= ( g1_cat_1 @ SY210 @ SY211 @ SY212 @ SY213 @ SY218 @ SY219 ) )
| ( SV50 = SY212 ) ) )
| ~ ( ! [SY220: $i,SY221: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SY208 @ SY209 )
!= ( g1_cat_1 @ SY210 @ SY211 @ SY212 @ SY213 @ SY220 @ SY221 ) )
| ( SV57 = SY213 ) ) )
| ~ ! [SY222: $i] :
( ! [SY223: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SY208 @ SY209 )
!= ( g1_cat_1 @ SY210 @ SY211 @ SY212 @ SY213 @ SY222 @ SY223 ) )
| ( SY208 = SY222 ) ) )
| ~ ! [SY224: $i,SY225: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SY208 @ SY209 )
!= ( g1_cat_1 @ SY210 @ SY211 @ SY212 @ SY213 @ SY224 @ SY225 ) )
| ( SY209 = SY225 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(405,plain,
! [SV58: $i] :
( ( ( v1_xboole_0 @ SV58 )
| ( v1_cat_1 @ ( k12_ens_1 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(406,plain,
! [SV59: $i] :
( ( ( v1_xboole_0 @ SV59 )
| ( v2_cat_1 @ ( k12_ens_1 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(407,plain,
! [SV60: $i] :
( ( ~ ( l1_cat_1 @ SV60 )
| ~ ( v2_cat_1 @ SV60 )
| ( l1_cat_1 @ ( k1_yoneda_1 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(408,plain,
! [SV61: $i] :
( ( ~ ( l1_cat_1 @ SV61 )
| ~ ( v2_cat_1 @ SV61 )
| ( v2_cat_1 @ ( k1_yoneda_1 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(409,plain,
( ( m2_cat_1 @ ( k20_ens_1 @ sK1_A @ sK2_SY90 ) @ sK1_A @ ( k1_yoneda_1 @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(410,plain,
! [SV62: $i] :
( ( ! [SY226: $i] :
( ~ ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SY226 ) )
| ( r1_tarski @ SV62 @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(411,plain,
! [SV63: $i] :
( ( ! [SY227: $i] :
( ~ ( r1_tarski @ SV63 @ SY227 )
| ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(412,plain,
( ( ~ ( v1_relat_1 @ sK10_A )
| ~ ( v1_xboole_0 @ sK10_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(413,plain,
! [SV64: $i] :
( ( ~ ( l1_cat_1 @ SV64 )
| ( m2_relset_1 @ ( u5_cat_1 @ SV64 ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ SV64 ) @ ( u2_cat_1 @ SV64 ) ) @ ( u2_cat_1 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(414,plain,
! [SV65: $i] :
( ( ~ ( l1_cat_1 @ SV65 )
| ( v1_funct_1 @ ( u5_cat_1 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(415,plain,
! [SV30: $i,SV2: $i,SV44: $i] :
( ( ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV2 @ SV30 ) ) )
= $false )
| ( ( v1_relat_1 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(416,plain,
! [SV3: $i,SV31: $i] :
( ( ( r2_hidden @ SV31 @ SV3 )
= $false )
| ( ( r2_hidden @ SV3 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(417,plain,
! [SV4: $i] :
( ( ( v1_cat_1 @ SV4 )
= $false )
| ( ( SV4
= ( g1_cat_1 @ ( u1_cat_1 @ SV4 ) @ ( u2_cat_1 @ SV4 ) @ ( u3_cat_1 @ SV4 ) @ ( u4_cat_1 @ SV4 ) @ ( u5_cat_1 @ SV4 ) @ ( u6_cat_1 @ SV4 ) ) )
= $true )
| ( ( l1_cat_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(418,plain,
! [SV33: $i,SV6: $i,SV45: $i] :
( ( ( m2_relset_1 @ SV45 @ SV6 @ SV33 )
= $false )
| ( ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(419,plain,
! [SV10: $i,SV46: $i,SV35: $i] :
( ( ( ~ ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV46 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV10 @ SV35 ) )
= $true )
| ( ( m1_subset_1 @ SV10 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(420,plain,
! [SV11: $i,SV47: $i,SV36: $i] :
( ( ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV47 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV11 @ SV36 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(421,plain,
! [SV37: $i,SV12: $i] :
( ( ( v1_xboole_0 @ SV12 )
= $false )
| ( ( SV12 = SV37 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(422,plain,
! [SV38: $i,SV15: $i] :
( ( ( ~ ( l1_cat_1 @ SV15 )
| ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV38 ) )
= $true )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(423,plain,
! [SV19: $i] :
( ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k17_ens_1 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(424,plain,
! [SV39: $i,SV20: $i] :
( ( ( r2_hidden @ SV20 @ SV39 )
= $true )
| ( ( v1_xboole_0 @ SV39 )
= $true )
| ( ( m1_subset_1 @ SV20 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(425,plain,
! [SV22: $i,SV40: $i] :
( ( ( v1_xboole_0 @ SV40 )
= $false )
| ( ( r2_hidden @ SV22 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(426,plain,
! [SV23: $i] :
( ( ( v2_cat_1 @ SV23 )
= $false )
| ( ( l1_cat_1 @ SV23 )
= $false )
| ( ( ( k1_yoneda_1 @ SV23 )
= ( k12_ens_1 @ ( k17_ens_1 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(427,plain,
! [SV24: $i,SV48: $i] :
( ( ( ~ ( l1_cat_1 @ SV48 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV48 ) )
= $true )
| ( ( ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ ( u1_cat_1 @ SV48 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SY178 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(428,plain,
! [SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ~ ! [SY203: $i,SY204: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY203 )
| ~ ( m1_relset_1 @ SY203 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY204 )
| ~ ( v1_funct_2 @ SY204 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY204 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY203 @ SY204 ) ) )
| ~ ! [SY205: $i,SY206: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY205 )
| ~ ( m1_relset_1 @ SY205 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY206 )
| ~ ( v1_funct_2 @ SY206 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY206 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY205 @ SY206 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(429,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_funct_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(430,plain,
( ( ~ ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(431,plain,
! [SV52: $i] :
( ( ( ~ ( v1_relat_1 @ SV52 )
| ~ ( v1_xboole_0 @ SV52 )
| ~ ( v1_funct_1 @ SV52 ) )
= $true )
| ( ( v2_funct_1 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(432,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ( l1_cat_1 @ SV26 )
| ~ ( v2_cat_1 @ SV26 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(433,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(434,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(435,plain,
! [SV66: $i,SV53: $i] :
( ( ~ ( l1_cat_1 @ SV53 )
| ~ ( v2_cat_1 @ SV53 )
| ~ ( m1_subset_1 @ SV66 @ ( u1_cat_1 @ SV53 ) )
| ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SV66 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(436,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u4_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(437,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(438,plain,
! [SV54: $i] :
( ( ( ~ ( l1_cat_1 @ SV54 ) )
= $true )
| ( ( m2_relset_1 @ ( u4_cat_1 @ SV54 ) @ ( u2_cat_1 @ SV54 ) @ ( u1_cat_1 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(439,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u3_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(440,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(441,plain,
! [SV55: $i] :
( ( ( ~ ( l1_cat_1 @ SV55 ) )
= $true )
| ( ( m2_relset_1 @ ( u3_cat_1 @ SV55 ) @ ( u2_cat_1 @ SV55 ) @ ( u1_cat_1 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(442,plain,
! [SV67: $i,SV27: $i] :
( ( ! [SY228: $i] :
( ~ ( m1_relset_1 @ SY228 @ SV27 @ SV67 )
| ( m2_relset_1 @ SY228 @ SV27 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV68: $i,SV27: $i] :
( ( ! [SY229: $i] :
( ~ ( m2_relset_1 @ SY229 @ SV27 @ SV68 )
| ( m1_relset_1 @ SY229 @ SV27 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(444,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u6_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(445,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(446,plain,
! [SV56: $i] :
( ( ( ~ ( l1_cat_1 @ SV56 ) )
= $true )
| ( ( m2_relset_1 @ ( u6_cat_1 @ SV56 ) @ ( u1_cat_1 @ SV56 ) @ ( u2_cat_1 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(447,plain,
( ( ~ ( v1_funct_1 @ sK12_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(448,plain,
( ( ~ ( v1_relat_1 @ sK12_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(449,plain,
! [SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ! [SY230: $i] :
( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV69 )
| ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SY230 )
| ~ ( v1_funct_2 @ SY230 @ SV28 @ SV43 )
| ~ ( m1_relset_1 @ SY230 @ SV28 @ SV43 )
| ! [SY231: $i,SY232: $i,SY233: $i,SY234: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY235: $i,SY236: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SY230 )
!= ( g1_cat_1 @ SY231 @ SY232 @ SY233 @ SY234 @ SY235 @ SY236 ) )
| ( SV28 = SY231 ) )
| ~ ( ! [SY237: $i,SY238: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SY230 )
!= ( g1_cat_1 @ SY231 @ SY232 @ SY233 @ SY234 @ SY237 @ SY238 ) )
| ( SV43 = SY232 ) ) )
| ~ ( ! [SY239: $i,SY240: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SY230 )
!= ( g1_cat_1 @ SY231 @ SY232 @ SY233 @ SY234 @ SY239 @ SY240 ) )
| ( SV50 = SY233 ) ) )
| ~ ( ! [SY241: $i,SY242: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SY230 )
!= ( g1_cat_1 @ SY231 @ SY232 @ SY233 @ SY234 @ SY241 @ SY242 ) )
| ( SV57 = SY234 ) ) )
| ~ ! [SY243: $i] :
( ! [SY244: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SY230 )
!= ( g1_cat_1 @ SY231 @ SY232 @ SY233 @ SY234 @ SY243 @ SY244 ) )
| ( SV69 = SY243 ) ) )
| ~ ! [SY245: $i,SY246: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SY230 )
!= ( g1_cat_1 @ SY231 @ SY232 @ SY233 @ SY234 @ SY245 @ SY246 ) )
| ( SY230 = SY246 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(450,plain,
! [SV58: $i] :
( ( ( v1_xboole_0 @ SV58 )
= $true )
| ( ( v1_cat_1 @ ( k12_ens_1 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(451,plain,
! [SV59: $i] :
( ( ( v1_xboole_0 @ SV59 )
= $true )
| ( ( v2_cat_1 @ ( k12_ens_1 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(452,plain,
! [SV60: $i] :
( ( ( ~ ( l1_cat_1 @ SV60 )
| ~ ( v2_cat_1 @ SV60 ) )
= $true )
| ( ( l1_cat_1 @ ( k1_yoneda_1 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(453,plain,
! [SV61: $i] :
( ( ( ~ ( l1_cat_1 @ SV61 )
| ~ ( v2_cat_1 @ SV61 ) )
= $true )
| ( ( v2_cat_1 @ ( k1_yoneda_1 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(454,plain,
! [SV70: $i,SV62: $i] :
( ( ~ ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SV70 ) )
| ( r1_tarski @ SV62 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(455,plain,
! [SV71: $i,SV63: $i] :
( ( ~ ( r1_tarski @ SV63 @ SV71 )
| ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(456,plain,
( ( ~ ( v1_relat_1 @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(457,plain,
( ( ~ ( v1_xboole_0 @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(458,plain,
! [SV64: $i] :
( ( ( ~ ( l1_cat_1 @ SV64 ) )
= $true )
| ( ( m2_relset_1 @ ( u5_cat_1 @ SV64 ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ SV64 ) @ ( u2_cat_1 @ SV64 ) ) @ ( u2_cat_1 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(459,plain,
! [SV65: $i] :
( ( ( ~ ( l1_cat_1 @ SV65 ) )
= $true )
| ( ( v1_funct_1 @ ( u5_cat_1 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(460,plain,
! [SV10: $i,SV46: $i,SV35: $i] :
( ( ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV46 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV10 @ SV35 ) )
= $true )
| ( ( m1_subset_1 @ SV10 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(461,plain,
! [SV11: $i,SV47: $i,SV36: $i] :
( ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV47 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV11 @ SV36 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(462,plain,
! [SV12: $i,SV37: $i] :
( ( ( v1_xboole_0 @ SV37 )
= $false )
| ( ( SV12 = SV37 )
= $true )
| ( ( v1_xboole_0 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(463,plain,
! [SV38: $i,SV15: $i] :
( ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV38 ) )
= $true )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(464,plain,
! [SV19: $i] :
( ( ( v1_xboole_0 @ ( k17_ens_1 @ SV19 ) )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(465,plain,
! [SV24: $i,SV48: $i] :
( ( ( l1_cat_1 @ SV48 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV48 ) )
= $true )
| ( ( ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ ( u1_cat_1 @ SV48 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SY178 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(466,plain,
! [SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ~ ! [SY203: $i,SY204: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY203 )
| ~ ( m1_relset_1 @ SY203 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY204 )
| ~ ( v1_funct_2 @ SY204 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY204 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY203 @ SY204 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(467,plain,
! [SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ~ ! [SY205: $i,SY206: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY205 )
| ~ ( m1_relset_1 @ SY205 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY206 )
| ~ ( v1_funct_2 @ SY206 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY206 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY205 @ SY206 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(468,plain,
( ( ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_funct_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(469,plain,
( ( ! [SX0: $i] :
( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_funct_1 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(470,plain,
! [SV52: $i] :
( ( ( ~ ( v1_relat_1 @ SV52 )
| ~ ( v1_xboole_0 @ SV52 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV52 ) )
= $true )
| ( ( v2_funct_1 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(471,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ( l1_cat_1 @ SV26 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV26 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(472,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(473,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v2_cat_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( u1_cat_1 @ SX0 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SX0 @ SX1 ) @ ( u2_cat_1 @ SX0 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(474,plain,
! [SV66: $i,SV53: $i] :
( ( ( ~ ( l1_cat_1 @ SV53 )
| ~ ( v2_cat_1 @ SV53 )
| ~ ( m1_subset_1 @ SV66 @ ( u1_cat_1 @ SV53 ) ) )
= $true )
| ( ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SV66 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(475,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u4_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(476,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u4_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(477,plain,
! [SV54: $i] :
( ( ( l1_cat_1 @ SV54 )
= $false )
| ( ( m2_relset_1 @ ( u4_cat_1 @ SV54 ) @ ( u2_cat_1 @ SV54 ) @ ( u1_cat_1 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(478,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u3_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(479,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u3_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(480,plain,
! [SV55: $i] :
( ( ( l1_cat_1 @ SV55 )
= $false )
| ( ( m2_relset_1 @ ( u3_cat_1 @ SV55 ) @ ( u2_cat_1 @ SV55 ) @ ( u1_cat_1 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(481,plain,
! [SV67: $i,SV27: $i,SV72: $i] :
( ( ~ ( m1_relset_1 @ SV72 @ SV27 @ SV67 )
| ( m2_relset_1 @ SV72 @ SV27 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(482,plain,
! [SV68: $i,SV27: $i,SV73: $i] :
( ( ~ ( m2_relset_1 @ SV73 @ SV27 @ SV68 )
| ( m1_relset_1 @ SV73 @ SV27 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(483,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_1 @ ( u6_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(484,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ( v1_funct_2 @ ( u6_cat_1 @ SX0 ) @ ( u1_cat_1 @ SX0 ) @ ( u2_cat_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(485,plain,
! [SV56: $i] :
( ( ( l1_cat_1 @ SV56 )
= $false )
| ( ( m2_relset_1 @ ( u6_cat_1 @ SV56 ) @ ( u1_cat_1 @ SV56 ) @ ( u2_cat_1 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(486,plain,
( ( v1_funct_1 @ sK12_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(487,plain,
( ( v1_relat_1 @ sK12_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(488,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV69 )
| ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SV74 )
| ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
| ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
| ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(489,plain,
! [SV60: $i] :
( ( ( ~ ( l1_cat_1 @ SV60 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV60 ) )
= $true )
| ( ( l1_cat_1 @ ( k1_yoneda_1 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(490,plain,
! [SV61: $i] :
( ( ( ~ ( l1_cat_1 @ SV61 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV61 ) )
= $true )
| ( ( v2_cat_1 @ ( k1_yoneda_1 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(491,plain,
! [SV70: $i,SV62: $i] :
( ( ( ~ ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SV70 ) ) )
= $true )
| ( ( r1_tarski @ SV62 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(492,plain,
! [SV71: $i,SV63: $i] :
( ( ( ~ ( r1_tarski @ SV63 @ SV71 ) )
= $true )
| ( ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(493,plain,
( ( v1_relat_1 @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(494,plain,
( ( v1_xboole_0 @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(495,plain,
! [SV64: $i] :
( ( ( l1_cat_1 @ SV64 )
= $false )
| ( ( m2_relset_1 @ ( u5_cat_1 @ SV64 ) @ ( k2_zfmisc_1 @ ( u2_cat_1 @ SV64 ) @ ( u2_cat_1 @ SV64 ) ) @ ( u2_cat_1 @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(496,plain,
! [SV65: $i] :
( ( ( l1_cat_1 @ SV65 )
= $false )
| ( ( v1_funct_1 @ ( u5_cat_1 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(497,plain,
! [SV46: $i,SV35: $i,SV10: $i] :
( ( ( r2_hidden @ SV10 @ SV35 )
= $false )
| ( ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ SV46 ) )
= $false )
| ( ( m1_subset_1 @ SV10 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(498,plain,
! [SV47: $i,SV36: $i,SV11: $i] :
( ( ( r2_hidden @ SV11 @ SV36 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV47 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(499,plain,
! [SV38: $i,SV15: $i] :
( ( ( l1_cat_1 @ SV15 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV38 ) )
= $true )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(500,plain,
! [SV24: $i,SV48: $i] :
( ( ( v2_cat_1 @ SV48 )
= $false )
| ( ( l1_cat_1 @ SV48 )
= $false )
| ( ( ! [SY178: $i] :
( ~ ( m1_subset_1 @ SY178 @ ( u1_cat_1 @ SV48 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SY178 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(501,plain,
! [SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ! [SY203: $i,SY204: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY203 )
| ~ ( m1_relset_1 @ SY203 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY204 )
| ~ ( v1_funct_2 @ SY204 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY204 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY203 @ SY204 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(502,plain,
! [SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ! [SY205: $i,SY206: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SY205 )
| ~ ( m1_relset_1 @ SY205 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY206 )
| ~ ( v1_funct_2 @ SY206 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY206 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SY205 @ SY206 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(503,plain,
! [SV75: $i] :
( ( ~ ( v1_relat_1 @ SV75 )
| ~ ( v1_xboole_0 @ SV75 )
| ~ ( v1_funct_1 @ SV75 )
| ( v1_funct_1 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(504,plain,
! [SV76: $i] :
( ( ~ ( v1_relat_1 @ SV76 )
| ~ ( v1_xboole_0 @ SV76 )
| ~ ( v1_funct_1 @ SV76 )
| ( v1_relat_1 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(505,plain,
! [SV52: $i] :
( ( ( ~ ( v1_relat_1 @ SV52 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV52 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV52 ) )
= $true )
| ( ( v2_funct_1 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(506,plain,
! [SV42: $i,SV26: $i] :
( ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV26 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(507,plain,
! [SV77: $i] :
( ( ! [SY263: $i] :
( ~ ( l1_cat_1 @ SV77 )
| ~ ( v2_cat_1 @ SV77 )
| ~ ( m1_subset_1 @ SY263 @ ( u1_cat_1 @ SV77 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(508,plain,
! [SV78: $i] :
( ( ! [SY264: $i] :
( ~ ( l1_cat_1 @ SV78 )
| ~ ( v2_cat_1 @ SV78 )
| ~ ( m1_subset_1 @ SY264 @ ( u1_cat_1 @ SV78 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SY264 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(509,plain,
! [SV66: $i,SV53: $i] :
( ( ( ~ ( l1_cat_1 @ SV53 )
| ~ ( v2_cat_1 @ SV53 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV66 @ ( u1_cat_1 @ SV53 ) ) )
= $true )
| ( ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SV66 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(510,plain,
! [SV79: $i] :
( ( ~ ( l1_cat_1 @ SV79 )
| ( v1_funct_1 @ ( u4_cat_1 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(511,plain,
! [SV80: $i] :
( ( ~ ( l1_cat_1 @ SV80 )
| ( v1_funct_2 @ ( u4_cat_1 @ SV80 ) @ ( u2_cat_1 @ SV80 ) @ ( u1_cat_1 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(512,plain,
! [SV81: $i] :
( ( ~ ( l1_cat_1 @ SV81 )
| ( v1_funct_1 @ ( u3_cat_1 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(513,plain,
! [SV82: $i] :
( ( ~ ( l1_cat_1 @ SV82 )
| ( v1_funct_2 @ ( u3_cat_1 @ SV82 ) @ ( u2_cat_1 @ SV82 ) @ ( u1_cat_1 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(514,plain,
! [SV67: $i,SV27: $i,SV72: $i] :
( ( ( ~ ( m1_relset_1 @ SV72 @ SV27 @ SV67 ) )
= $true )
| ( ( m2_relset_1 @ SV72 @ SV27 @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(515,plain,
! [SV68: $i,SV27: $i,SV73: $i] :
( ( ( ~ ( m2_relset_1 @ SV73 @ SV27 @ SV68 ) )
= $true )
| ( ( m1_relset_1 @ SV73 @ SV27 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(516,plain,
! [SV83: $i] :
( ( ~ ( l1_cat_1 @ SV83 )
| ( v1_funct_1 @ ( u6_cat_1 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(517,plain,
! [SV84: $i] :
( ( ~ ( l1_cat_1 @ SV84 )
| ( v1_funct_2 @ ( u6_cat_1 @ SV84 ) @ ( u1_cat_1 @ SV84 ) @ ( u2_cat_1 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(518,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV69 )
| ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SV74 )
| ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
| ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(519,plain,
! [SV60: $i] :
( ( ( l1_cat_1 @ SV60 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV60 ) )
= $true )
| ( ( l1_cat_1 @ ( k1_yoneda_1 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(520,plain,
! [SV61: $i] :
( ( ( l1_cat_1 @ SV61 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV61 ) )
= $true )
| ( ( v2_cat_1 @ ( k1_yoneda_1 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(521,plain,
! [SV70: $i,SV62: $i] :
( ( ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SV70 ) )
= $false )
| ( ( r1_tarski @ SV62 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(522,plain,
! [SV71: $i,SV63: $i] :
( ( ( r1_tarski @ SV63 @ SV71 )
= $false )
| ( ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(523,plain,
! [SV11: $i,SV36: $i,SV47: $i] :
( ( ( v1_xboole_0 @ SV47 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV47 ) )
= $false )
| ( ( r2_hidden @ SV11 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(524,plain,
! [SV38: $i,SV15: $i] :
( ( ( v2_cat_1 @ SV15 )
= $false )
| ( ( l1_cat_1 @ SV15 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV38 ) )
= $true )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(525,plain,
! [SV24: $i,SV48: $i,SV85: $i] :
( ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_cat_1 @ SV48 ) )
| ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SV85 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) )
= $true )
| ( ( l1_cat_1 @ SV48 )
= $false )
| ( ( v2_cat_1 @ SV48 )
= $false )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(526,plain,
! [SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ! [SY265: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV86 )
| ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY265 )
| ~ ( v1_funct_2 @ SY265 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY265 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SY265 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(527,plain,
! [SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ! [SY266: $i] :
( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV87 )
| ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SY266 )
| ~ ( v1_funct_2 @ SY266 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SY266 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SY266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(528,plain,
! [SV75: $i] :
( ( ( ~ ( v1_relat_1 @ SV75 )
| ~ ( v1_xboole_0 @ SV75 )
| ~ ( v1_funct_1 @ SV75 ) )
= $true )
| ( ( v1_funct_1 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(529,plain,
! [SV76: $i] :
( ( ( ~ ( v1_relat_1 @ SV76 )
| ~ ( v1_xboole_0 @ SV76 )
| ~ ( v1_funct_1 @ SV76 ) )
= $true )
| ( ( v1_relat_1 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(530,plain,
! [SV52: $i] :
( ( ( v1_relat_1 @ SV52 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV52 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV52 ) )
= $true )
| ( ( v2_funct_1 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(531,plain,
! [SV42: $i,SV26: $i] :
( ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(532,plain,
! [SV88: $i,SV77: $i] :
( ( ~ ( l1_cat_1 @ SV77 )
| ~ ( v2_cat_1 @ SV77 )
| ~ ( m1_subset_1 @ SV88 @ ( u1_cat_1 @ SV77 ) )
| ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(533,plain,
! [SV89: $i,SV78: $i] :
( ( ~ ( l1_cat_1 @ SV78 )
| ~ ( v2_cat_1 @ SV78 )
| ~ ( m1_subset_1 @ SV89 @ ( u1_cat_1 @ SV78 ) )
| ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SV89 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(534,plain,
! [SV66: $i,SV53: $i] :
( ( ( ~ ( l1_cat_1 @ SV53 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV53 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV66 @ ( u1_cat_1 @ SV53 ) ) )
= $true )
| ( ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SV66 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(535,plain,
! [SV79: $i] :
( ( ( ~ ( l1_cat_1 @ SV79 ) )
= $true )
| ( ( v1_funct_1 @ ( u4_cat_1 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(536,plain,
! [SV80: $i] :
( ( ( ~ ( l1_cat_1 @ SV80 ) )
= $true )
| ( ( v1_funct_2 @ ( u4_cat_1 @ SV80 ) @ ( u2_cat_1 @ SV80 ) @ ( u1_cat_1 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(537,plain,
! [SV81: $i] :
( ( ( ~ ( l1_cat_1 @ SV81 ) )
= $true )
| ( ( v1_funct_1 @ ( u3_cat_1 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(538,plain,
! [SV82: $i] :
( ( ( ~ ( l1_cat_1 @ SV82 ) )
= $true )
| ( ( v1_funct_2 @ ( u3_cat_1 @ SV82 ) @ ( u2_cat_1 @ SV82 ) @ ( u1_cat_1 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(539,plain,
! [SV67: $i,SV27: $i,SV72: $i] :
( ( ( m1_relset_1 @ SV72 @ SV27 @ SV67 )
= $false )
| ( ( m2_relset_1 @ SV72 @ SV27 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(540,plain,
! [SV68: $i,SV27: $i,SV73: $i] :
( ( ( m2_relset_1 @ SV73 @ SV27 @ SV68 )
= $false )
| ( ( m1_relset_1 @ SV73 @ SV27 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(541,plain,
! [SV83: $i] :
( ( ( ~ ( l1_cat_1 @ SV83 ) )
= $true )
| ( ( v1_funct_1 @ ( u6_cat_1 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(542,plain,
! [SV84: $i] :
( ( ( ~ ( l1_cat_1 @ SV84 ) )
= $true )
| ( ( v1_funct_2 @ ( u6_cat_1 @ SV84 ) @ ( u1_cat_1 @ SV84 ) @ ( u2_cat_1 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(543,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV69 )
| ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SV74 )
| ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(544,plain,
! [SV60: $i] :
( ( ( v2_cat_1 @ SV60 )
= $false )
| ( ( l1_cat_1 @ SV60 )
= $false )
| ( ( l1_cat_1 @ ( k1_yoneda_1 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(545,plain,
! [SV61: $i] :
( ( ( v2_cat_1 @ SV61 )
= $false )
| ( ( l1_cat_1 @ SV61 )
= $false )
| ( ( v2_cat_1 @ ( k1_yoneda_1 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(546,plain,
! [SV15: $i,SV38: $i] :
( ( ( v2_cat_1 @ SV38 )
= $false )
| ( ( l1_cat_1 @ SV15 )
= $false )
| ( ( v2_cat_1 @ SV15 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV38 ) )
= $true )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(547,plain,
! [SV24: $i,SV48: $i,SV85: $i] :
( ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_cat_1 @ SV48 ) ) )
= $true )
| ( ( ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SV85 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) )
= $true )
| ( ( l1_cat_1 @ SV48 )
= $false )
| ( ( v2_cat_1 @ SV48 )
= $false )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(548,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV86 )
| ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV90 )
| ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 )
| ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(549,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV87 )
| ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV91 )
| ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 )
| ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(550,plain,
! [SV75: $i] :
( ( ( ~ ( v1_relat_1 @ SV75 )
| ~ ( v1_xboole_0 @ SV75 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV75 ) )
= $true )
| ( ( v1_funct_1 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(551,plain,
! [SV76: $i] :
( ( ( ~ ( v1_relat_1 @ SV76 )
| ~ ( v1_xboole_0 @ SV76 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV76 ) )
= $true )
| ( ( v1_relat_1 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(552,plain,
! [SV52: $i] :
( ( ( v1_xboole_0 @ SV52 )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV52 ) )
= $true )
| ( ( v2_funct_1 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(553,plain,
! [SV26: $i,SV42: $i] :
( ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(554,plain,
! [SV88: $i,SV77: $i] :
( ( ( ~ ( l1_cat_1 @ SV77 )
| ~ ( v2_cat_1 @ SV77 )
| ~ ( m1_subset_1 @ SV88 @ ( u1_cat_1 @ SV77 ) ) )
= $true )
| ( ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(555,plain,
! [SV89: $i,SV78: $i] :
( ( ( ~ ( l1_cat_1 @ SV78 )
| ~ ( v2_cat_1 @ SV78 )
| ~ ( m1_subset_1 @ SV89 @ ( u1_cat_1 @ SV78 ) ) )
= $true )
| ( ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SV89 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(556,plain,
! [SV66: $i,SV53: $i] :
( ( ( l1_cat_1 @ SV53 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV53 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV66 @ ( u1_cat_1 @ SV53 ) ) )
= $true )
| ( ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SV66 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(557,plain,
! [SV79: $i] :
( ( ( l1_cat_1 @ SV79 )
= $false )
| ( ( v1_funct_1 @ ( u4_cat_1 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(558,plain,
! [SV80: $i] :
( ( ( l1_cat_1 @ SV80 )
= $false )
| ( ( v1_funct_2 @ ( u4_cat_1 @ SV80 ) @ ( u2_cat_1 @ SV80 ) @ ( u1_cat_1 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(559,plain,
! [SV81: $i] :
( ( ( l1_cat_1 @ SV81 )
= $false )
| ( ( v1_funct_1 @ ( u3_cat_1 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(560,plain,
! [SV82: $i] :
( ( ( l1_cat_1 @ SV82 )
= $false )
| ( ( v1_funct_2 @ ( u3_cat_1 @ SV82 ) @ ( u2_cat_1 @ SV82 ) @ ( u1_cat_1 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(561,plain,
! [SV83: $i] :
( ( ( l1_cat_1 @ SV83 )
= $false )
| ( ( v1_funct_1 @ ( u6_cat_1 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(562,plain,
! [SV84: $i] :
( ( ( l1_cat_1 @ SV84 )
= $false )
| ( ( v1_funct_2 @ ( u6_cat_1 @ SV84 ) @ ( u1_cat_1 @ SV84 ) @ ( u2_cat_1 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(563,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV69 )
| ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
| ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(564,plain,
! [SV15: $i,SV38: $i] :
( ( ( l1_cat_1 @ SV38 )
= $false )
| ( ( v2_cat_1 @ SV15 )
= $false )
| ( ( l1_cat_1 @ SV15 )
= $false )
| ( ( v2_cat_1 @ SV38 )
= $false )
| ( ( m2_cat_1 @ ( sK5_C @ SV38 @ SV15 ) @ SV15 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(565,plain,
! [SV24: $i,SV48: $i,SV85: $i] :
( ( ( m1_subset_1 @ SV85 @ ( u1_cat_1 @ SV48 ) )
= $false )
| ( ( ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
| ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SV85 ) @ SV48 @ ( k12_ens_1 @ SV24 ) ) )
= $true )
| ( ( l1_cat_1 @ SV48 )
= $false )
| ( ( v2_cat_1 @ SV48 )
= $false )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(566,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV86 )
| ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV90 )
| ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(567,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV87 )
| ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV91 )
| ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 )
| ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(568,plain,
! [SV75: $i] :
( ( ( ~ ( v1_relat_1 @ SV75 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV75 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV75 ) )
= $true )
| ( ( v1_funct_1 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(569,plain,
! [SV76: $i] :
( ( ( ~ ( v1_relat_1 @ SV76 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV76 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV76 ) )
= $true )
| ( ( v1_relat_1 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(570,plain,
! [SV52: $i] :
( ( ( v1_funct_1 @ SV52 )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $false )
| ( ( v1_xboole_0 @ SV52 )
= $false )
| ( ( v2_funct_1 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(571,plain,
! [SV26: $i,SV42: $i] :
( ( ( l1_cat_1 @ SV42 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(572,plain,
! [SV88: $i,SV77: $i] :
( ( ( ~ ( l1_cat_1 @ SV77 )
| ~ ( v2_cat_1 @ SV77 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_cat_1 @ SV77 ) ) )
= $true )
| ( ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(573,plain,
! [SV89: $i,SV78: $i] :
( ( ( ~ ( l1_cat_1 @ SV78 )
| ~ ( v2_cat_1 @ SV78 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV89 @ ( u1_cat_1 @ SV78 ) ) )
= $true )
| ( ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SV89 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(574,plain,
! [SV66: $i,SV53: $i] :
( ( ( v2_cat_1 @ SV53 )
= $false )
| ( ( l1_cat_1 @ SV53 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV66 @ ( u1_cat_1 @ SV53 ) ) )
= $true )
| ( ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SV66 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(575,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV69 )
| ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(576,plain,
! [SV85: $i,SV24: $i,SV48: $i] :
( ( ( ~ ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 ) )
= $true )
| ( ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SV85 ) @ SV48 @ ( k12_ens_1 @ SV24 ) )
= $true )
| ( ( m1_subset_1 @ SV85 @ ( u1_cat_1 @ SV48 ) )
= $false )
| ( ( l1_cat_1 @ SV48 )
= $false )
| ( ( v2_cat_1 @ SV48 )
= $false )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[565]) ).
thf(577,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV86 )
| ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV90 )
| ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(578,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV87 )
| ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV91 )
| ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(579,plain,
! [SV75: $i] :
( ( ( v1_relat_1 @ SV75 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV75 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV75 ) )
= $true )
| ( ( v1_funct_1 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(580,plain,
! [SV76: $i] :
( ( ( v1_relat_1 @ SV76 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV76 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV76 ) )
= $true )
| ( ( v1_relat_1 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(581,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
| ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
= $false )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(582,plain,
! [SV88: $i,SV77: $i] :
( ( ( ~ ( l1_cat_1 @ SV77 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV77 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_cat_1 @ SV77 ) ) )
= $true )
| ( ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(583,plain,
! [SV89: $i,SV78: $i] :
( ( ( ~ ( l1_cat_1 @ SV78 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV78 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV89 @ ( u1_cat_1 @ SV78 ) ) )
= $true )
| ( ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SV89 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(584,plain,
! [SV53: $i,SV66: $i] :
( ( ( m1_subset_1 @ SV66 @ ( u1_cat_1 @ SV53 ) )
= $false )
| ( ( l1_cat_1 @ SV53 )
= $false )
| ( ( v2_cat_1 @ SV53 )
= $false )
| ( ( m2_relset_1 @ ( k20_ens_1 @ SV53 @ SV66 ) @ ( u2_cat_1 @ SV53 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(585,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(586,plain,
! [SV85: $i,SV24: $i,SV48: $i] :
( ( ( r1_tarski @ ( k17_ens_1 @ SV48 ) @ SV24 )
= $false )
| ( ( m2_cat_1 @ ( k20_ens_1 @ SV48 @ SV85 ) @ SV48 @ ( k12_ens_1 @ SV24 ) )
= $true )
| ( ( m1_subset_1 @ SV85 @ ( u1_cat_1 @ SV48 ) )
= $false )
| ( ( l1_cat_1 @ SV48 )
= $false )
| ( ( v2_cat_1 @ SV48 )
= $false )
| ( ( v1_xboole_0 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(587,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV86 )
| ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(588,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV87 )
| ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
| ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(589,plain,
! [SV75: $i] :
( ( ( v1_xboole_0 @ SV75 )
= $false )
| ( ( v1_relat_1 @ SV75 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV75 ) )
= $true )
| ( ( v1_funct_1 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(590,plain,
! [SV76: $i] :
( ( ( v1_xboole_0 @ SV76 )
= $false )
| ( ( v1_relat_1 @ SV76 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV76 ) )
= $true )
| ( ( v1_relat_1 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(591,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $false )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(592,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
= $false )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(593,plain,
! [SV88: $i,SV77: $i] :
( ( ( l1_cat_1 @ SV77 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV77 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_cat_1 @ SV77 ) ) )
= $true )
| ( ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(594,plain,
! [SV89: $i,SV78: $i] :
( ( ( l1_cat_1 @ SV78 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV78 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV89 @ ( u1_cat_1 @ SV78 ) ) )
= $true )
| ( ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SV89 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(595,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(596,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV86 )
| ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(597,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV87 )
| ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(598,plain,
! [SV75: $i] :
( ( ( v1_funct_1 @ SV75 )
= $false )
| ( ( v1_relat_1 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $false )
| ( ( v1_funct_1 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(599,plain,
! [SV76: $i] :
( ( ( v1_funct_1 @ SV76 )
= $false )
| ( ( v1_relat_1 @ SV76 )
= $false )
| ( ( v1_xboole_0 @ SV76 )
= $false )
| ( ( v1_relat_1 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(600,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(601,plain,
! [SV42: $i,SV26: $i] :
( ( ( ! [SY157: $i] :
( ~ ( m2_cat_1 @ SY157 @ SV26 @ SV42 )
| ( m2_relset_1 @ SY157 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(602,plain,
! [SV88: $i,SV77: $i] :
( ( ( v2_cat_1 @ SV77 )
= $false )
| ( ( l1_cat_1 @ SV77 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_cat_1 @ SV77 ) ) )
= $true )
| ( ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(603,plain,
! [SV89: $i,SV78: $i] :
( ( ( v2_cat_1 @ SV78 )
= $false )
| ( ( l1_cat_1 @ SV78 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV89 @ ( u1_cat_1 @ SV78 ) ) )
= $true )
| ( ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SV89 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(604,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 )
| ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(605,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(606,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(607,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) )
| ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
= $false )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(608,plain,
! [SV42: $i,SV26: $i,SV92: $i] :
( ( ( ~ ( m2_cat_1 @ SV92 @ SV26 @ SV42 )
| ( m2_relset_1 @ SV92 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(609,plain,
! [SV77: $i,SV88: $i] :
( ( ( m1_subset_1 @ SV88 @ ( u1_cat_1 @ SV77 ) )
= $false )
| ( ( l1_cat_1 @ SV77 )
= $false )
| ( ( v2_cat_1 @ SV77 )
= $false )
| ( ( v1_funct_1 @ ( k20_ens_1 @ SV77 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(610,plain,
! [SV78: $i,SV89: $i] :
( ( ( m1_subset_1 @ SV89 @ ( u1_cat_1 @ SV78 ) )
= $false )
| ( ( l1_cat_1 @ SV78 )
= $false )
| ( ( v2_cat_1 @ SV78 )
= $false )
| ( ( v1_funct_2 @ ( k20_ens_1 @ SV78 @ SV89 ) @ ( u2_cat_1 @ SV78 ) @ ( k2_ens_1 @ ( k17_ens_1 @ SV78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(611,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
| ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(612,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(613,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(614,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) ) )
= $false )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(615,plain,
! [SV42: $i,SV26: $i] :
( ( ( ~ ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
= $false )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(616,plain,
! [SV42: $i,SV26: $i,SV92: $i] :
( ( ( ~ ( m2_cat_1 @ SV92 @ SV26 @ SV42 ) )
= $true )
| ( ( m2_relset_1 @ SV92 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(617,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
| ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(618,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(619,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 )
| ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(620,plain,
! [SV42: $i,SV26: $i] :
( ( ( ! [SY155: $i] :
( ~ ( m2_cat_1 @ SY155 @ SV26 @ SV42 )
| ( v1_funct_1 @ SY155 ) ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(621,plain,
! [SV42: $i,SV26: $i] :
( ( ( ! [SY156: $i] :
( ~ ( m2_cat_1 @ SY156 @ SV26 @ SV42 )
| ( v1_funct_2 @ SY156 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(622,plain,
! [SV42: $i,SV26: $i,SV92: $i] :
( ( ( m2_cat_1 @ SV92 @ SV26 @ SV42 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(623,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 )
| ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(624,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(625,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
| ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(626,plain,
! [SV42: $i,SV26: $i,SV93: $i] :
( ( ( ~ ( m2_cat_1 @ SV93 @ SV26 @ SV42 )
| ( v1_funct_1 @ SV93 ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(627,plain,
! [SV42: $i,SV26: $i,SV94: $i] :
( ( ( ~ ( m2_cat_1 @ SV94 @ SV26 @ SV42 )
| ( v1_funct_2 @ SV94 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(628,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 )
| ~ ( v1_funct_1 @ SV50 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(629,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(630,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
| ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(631,plain,
! [SV42: $i,SV26: $i,SV93: $i] :
( ( ( ~ ( m2_cat_1 @ SV93 @ SV26 @ SV42 ) )
= $true )
| ( ( v1_funct_1 @ SV93 )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(632,plain,
! [SV42: $i,SV26: $i,SV94: $i] :
( ( ( ~ ( m2_cat_1 @ SV94 @ SV26 @ SV42 ) )
= $true )
| ( ( v1_funct_2 @ SV94 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(633,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( v1_xboole_0 @ SV28 )
| ( v1_xboole_0 @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV50 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(634,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(635,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 )
| ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(636,plain,
! [SV42: $i,SV26: $i,SV93: $i] :
( ( ( m2_cat_1 @ SV93 @ SV26 @ SV42 )
= $false )
| ( ( v1_funct_1 @ SV93 )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(637,plain,
! [SV42: $i,SV26: $i,SV94: $i] :
( ( ( m2_cat_1 @ SV94 @ SV26 @ SV42 )
= $false )
| ( ( v1_funct_2 @ SV94 @ ( u2_cat_1 @ SV26 ) @ ( u2_cat_1 @ SV42 ) )
= $true )
| ( ( v2_cat_1 @ SV42 )
= $false )
| ( ( l1_cat_1 @ SV26 )
= $false )
| ( ( v2_cat_1 @ SV26 )
= $false )
| ( ( l1_cat_1 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(638,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( ~ ( v1_funct_1 @ SV50 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(639,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(640,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 )
| ~ ( v1_funct_1 @ SV49 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(641,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV28: $i,SV43: $i,SV50: $i] :
( ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( ~ ( v1_funct_2 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(642,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV49 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(643,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( ( v1_xboole_0 @ SV25 )
| ( v1_xboole_0 @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV49 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(644,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV28: $i,SV43: $i,SV50: $i] :
( ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV50 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(645,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( ~ ( v1_funct_1 @ SV49 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(646,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV49: $i,SV41: $i,SV25: $i] :
( ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( ~ ( v1_funct_1 @ SV49 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(647,plain,
! [SV74: $i,SV69: $i,SV57: $i,SV28: $i,SV43: $i,SV50: $i] :
( ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV57 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(648,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV25: $i,SV41: $i,SV49: $i] :
( ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(649,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV25: $i,SV41: $i,SV49: $i] :
( ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( ~ ( v1_funct_2 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(650,plain,
! [SV74: $i,SV69: $i,SV28: $i,SV43: $i,SV50: $i,SV57: $i] :
( ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(651,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV25: $i,SV41: $i,SV49: $i] :
( ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(652,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV25: $i,SV41: $i,SV49: $i] :
( ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV49 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(653,plain,
! [SV74: $i,SV69: $i,SV50: $i,SV28: $i,SV43: $i,SV57: $i] :
( ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV57 @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(654,plain,
! [SV90: $i,SV86: $i,SV51: $i,SV25: $i,SV41: $i,SV49: $i] :
( ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(655,plain,
! [SV91: $i,SV87: $i,SV51: $i,SV25: $i,SV41: $i,SV49: $i] :
( ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV51 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(656,plain,
! [SV74: $i,SV69: $i,SV50: $i,SV28: $i,SV43: $i,SV57: $i] :
( ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV69 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(657,plain,
! [SV90: $i,SV86: $i,SV25: $i,SV41: $i,SV49: $i,SV51: $i] :
( ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(658,plain,
! [SV91: $i,SV87: $i,SV25: $i,SV41: $i,SV49: $i,SV51: $i] :
( ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(659,plain,
! [SV74: $i,SV50: $i,SV28: $i,SV43: $i,SV57: $i,SV69: $i] :
( ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(660,plain,
! [SV90: $i,SV86: $i,SV49: $i,SV25: $i,SV41: $i,SV51: $i] :
( ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(661,plain,
! [SV91: $i,SV87: $i,SV49: $i,SV25: $i,SV41: $i,SV51: $i] :
( ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV51 @ SV41 @ SV25 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(662,plain,
! [SV74: $i,SV50: $i,SV28: $i,SV57: $i,SV43: $i,SV69: $i] :
( ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(663,plain,
! [SV90: $i,SV86: $i,SV49: $i,SV25: $i,SV41: $i,SV51: $i] :
( ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(664,plain,
! [SV91: $i,SV87: $i,SV49: $i,SV25: $i,SV41: $i,SV51: $i] :
( ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(665,plain,
! [SV50: $i,SV28: $i,SV43: $i,SV57: $i,SV69: $i,SV74: $i] :
( ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(666,plain,
! [SV90: $i,SV49: $i,SV25: $i,SV41: $i,SV51: $i,SV86: $i] :
( ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(667,plain,
! [SV91: $i,SV49: $i,SV25: $i,SV41: $i,SV51: $i,SV87: $i] :
( ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(668,plain,
! [SV50: $i,SV57: $i,SV69: $i,SV43: $i,SV28: $i,SV74: $i] :
( ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV74 @ SV28 @ SV43 ) )
= $true )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(669,plain,
! [SV90: $i,SV49: $i,SV25: $i,SV51: $i,SV41: $i,SV86: $i] :
( ( ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(670,plain,
! [SV91: $i,SV49: $i,SV25: $i,SV51: $i,SV41: $i,SV87: $i] :
( ( ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV91 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(671,plain,
! [SV50: $i,SV57: $i,SV69: $i,SV43: $i,SV28: $i,SV74: $i] :
( ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY251: $i,SY252: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY251 @ SY252 ) )
| ( SV28 = SY247 ) )
| ~ ( ! [SY253: $i,SY254: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY253 @ SY254 ) )
| ( SV43 = SY248 ) ) )
| ~ ( ! [SY255: $i,SY256: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY255 @ SY256 ) )
| ( SV50 = SY249 ) ) )
| ~ ( ! [SY257: $i,SY258: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY257 @ SY258 ) )
| ( SV57 = SY250 ) ) )
| ~ ! [SY259: $i] :
( ! [SY260: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY259 @ SY260 ) )
| ( SV69 = SY259 ) ) )
| ~ ! [SY261: $i,SY262: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SY247 @ SY248 @ SY249 @ SY250 @ SY261 @ SY262 ) )
| ( SV74 = SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(672,plain,
! [SV49: $i,SV25: $i,SV41: $i,SV51: $i,SV86: $i,SV90: $i] :
( ( ( v1_funct_1 @ SV90 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(673,plain,
! [SV49: $i,SV25: $i,SV41: $i,SV51: $i,SV87: $i,SV91: $i] :
( ( ( v1_funct_1 @ SV91 )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(674,plain,
! [SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY267: $i,SY268: $i,SY269: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY270: $i,SY271: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SY267 @ SY268 @ SY269 @ SY270 @ SY271 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY272: $i,SY273: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SY267 @ SY268 @ SY269 @ SY272 @ SY273 ) )
| ( SV43 = SY267 ) ) )
| ~ ( ! [SY274: $i,SY275: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SY267 @ SY268 @ SY269 @ SY274 @ SY275 ) )
| ( SV50 = SY268 ) ) )
| ~ ( ! [SY276: $i,SY277: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SY267 @ SY268 @ SY269 @ SY276 @ SY277 ) )
| ( SV57 = SY269 ) ) )
| ~ ! [SY278: $i] :
( ! [SY279: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SY267 @ SY268 @ SY269 @ SY278 @ SY279 ) )
| ( SV69 = SY278 ) ) )
| ~ ! [SY280: $i,SY281: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SY267 @ SY268 @ SY269 @ SY280 @ SY281 ) )
| ( SV74 = SY281 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(675,plain,
! [SV49: $i,SV51: $i,SV86: $i,SV41: $i,SV25: $i,SV90: $i] :
( ( ( v1_funct_2 @ SV90 @ SV25 @ SV41 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( v1_funct_1 @ SV90 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV25 @ SV41 ) )
= $true )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(676,plain,
! [SV49: $i,SV51: $i,SV87: $i,SV41: $i,SV25: $i,SV91: $i] :
( ( ( v1_funct_2 @ SV91 @ SV25 @ SV41 )
= $false )
| ( ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_1 @ SV91 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV91 @ SV25 @ SV41 ) )
= $true )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(677,plain,
! [SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY282: $i,SY283: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY284: $i,SY285: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SY282 @ SY283 @ SY284 @ SY285 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY286: $i,SY287: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SY282 @ SY283 @ SY286 @ SY287 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY288: $i,SY289: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SY282 @ SY283 @ SY288 @ SY289 ) )
| ( SV50 = SY282 ) ) )
| ~ ( ! [SY290: $i,SY291: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SY282 @ SY283 @ SY290 @ SY291 ) )
| ( SV57 = SY283 ) ) )
| ~ ! [SY292: $i] :
( ! [SY293: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SY282 @ SY283 @ SY292 @ SY293 ) )
| ( SV69 = SY292 ) ) )
| ~ ! [SY294: $i,SY295: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SY282 @ SY283 @ SY294 @ SY295 ) )
| ( SV74 = SY295 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(678,plain,
! [SV49: $i,SV51: $i,SV86: $i,SV41: $i,SV25: $i,SV90: $i] :
( ( ( m1_relset_1 @ SV90 @ SV25 @ SV41 )
= $false )
| ( ( v1_funct_1 @ SV90 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( v1_funct_2 @ SV90 @ SV25 @ SV41 )
= $false )
| ( ( l1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV86 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(679,plain,
! [SV49: $i,SV51: $i,SV87: $i,SV41: $i,SV25: $i,SV91: $i] :
( ( ( m1_relset_1 @ SV91 @ SV25 @ SV41 )
= $false )
| ( ( v1_funct_1 @ SV91 )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v1_funct_2 @ SV49 @ SV41 @ SV25 )
= $false )
| ( ( v1_funct_1 @ SV51 )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV41 @ SV25 )
= $false )
| ( ( m1_relset_1 @ SV87 @ ( k2_zfmisc_1 @ SV41 @ SV41 ) @ SV41 )
= $false )
| ( ( v1_funct_2 @ SV91 @ SV25 @ SV41 )
= $false )
| ( ( v1_cat_1 @ ( g1_cat_1 @ SV25 @ SV41 @ SV49 @ SV51 @ SV87 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(680,plain,
! [SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY296: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY297: $i,SY298: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SY296 @ SY297 @ SY298 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY299: $i,SY300: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SY296 @ SY299 @ SY300 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY301: $i,SY302: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SY296 @ SY301 @ SY302 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY303: $i,SY304: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SY296 @ SY303 @ SY304 ) )
| ( SV57 = SY296 ) ) )
| ~ ! [SY305: $i] :
( ! [SY306: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SY296 @ SY305 @ SY306 ) )
| ( SV69 = SY305 ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SY296 @ SY307 @ SY308 ) )
| ( SV74 = SY308 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(681,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) )
| ~ ! [SY317: $i] :
( ! [SY318: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY317 @ SY318 ) )
| ( SV69 = SY317 ) ) )
| ~ ! [SY319: $i,SY320: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY319 @ SY320 ) )
| ( SV74 = SY320 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(682,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) )
| ~ ! [SY317: $i] :
( ! [SY318: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY317 @ SY318 ) )
| ( SV69 = SY317 ) ) )
| ~ ! [SY319: $i,SY320: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY319 @ SY320 ) )
| ( SV74 = SY320 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(683,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) )
| ~ ! [SY317: $i] :
( ! [SY318: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY317 @ SY318 ) )
| ( SV69 = SY317 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(684,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ! [SY319: $i,SY320: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY319 @ SY320 ) )
| ( SV74 = SY320 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(685,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) )
| ~ ! [SY317: $i] :
( ! [SY318: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY317 @ SY318 ) )
| ( SV69 = SY317 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(686,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY319: $i,SY320: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY319 @ SY320 ) )
| ( SV74 = SY320 ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(687,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) )
| ~ ! [SY317: $i] :
( ! [SY318: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY317 @ SY318 ) )
| ( SV69 = SY317 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(688,plain,
! [SV99: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY321: $i] :
( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV99 @ SY321 ) )
| ( SV74 = SY321 ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(689,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(690,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ! [SY317: $i] :
( ! [SY318: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY317 @ SY318 ) )
| ( SV69 = SY317 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(691,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV99 @ SV100 ) )
| ( SV74 = SV100 ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(692,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(693,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY317: $i] :
( ! [SY318: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY317 @ SY318 ) )
| ( SV69 = SY317 ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(694,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV99 @ SV100 ) )
= $true )
| ( ( SV74 = SV100 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[691]) ).
thf(695,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
| ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(696,plain,
! [SV101: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY322: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV101 @ SY322 ) )
| ( SV69 = SV101 ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(697,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV99 @ SV100 ) )
= $false )
| ( ( SV74 = SV100 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(698,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(699,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(700,plain,
! [SV101: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY322: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV101 @ SY322 ) ) )
= $true )
| ( ( SV69 = SV101 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(701,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(702,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) )
| ( SV57 = SV98 ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(703,plain,
! [SV102: $i,SV101: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV101 @ SV102 ) )
= $true )
| ( ( SV69 = SV101 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(704,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
| ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(705,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY315: $i,SY316: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY315 @ SY316 ) ) )
= $true )
| ( ( SV57 = SV98 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(706,plain,
! [SV102: $i,SV101: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV101 @ SV102 ) )
= $false )
| ( ( SV69 = SV101 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(707,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(708,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(709,plain,
! [SV103: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY323: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV103 @ SY323 ) ) )
= $true )
| ( ( SV57 = SV98 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(710,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(711,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) )
| ( SV50 = SV97 ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(712,plain,
! [SV104: $i,SV103: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV103 @ SV104 ) )
= $true )
| ( ( SV57 = SV98 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(713,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
| ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(714,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY313: $i,SY314: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY313 @ SY314 ) ) )
= $true )
| ( ( SV50 = SV97 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(715,plain,
! [SV104: $i,SV103: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV103 @ SV104 ) )
= $false )
| ( ( SV57 = SV98 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(716,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(717,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ~ ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) ) )
= $false )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(718,plain,
! [SV105: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY324: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV105 @ SY324 ) ) )
= $true )
| ( ( SV50 = SV97 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(719,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) )
| ( SV28 = SV95 ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(720,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) )
| ( SV43 = SV96 ) )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(721,plain,
! [SV106: $i,SV105: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV105 @ SV106 ) )
= $true )
| ( ( SV50 = SV97 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(722,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY309: $i,SY310: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY309 @ SY310 ) ) )
= $true )
| ( ( SV28 = SV95 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(723,plain,
! [SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY311: $i,SY312: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SY311 @ SY312 ) ) )
= $true )
| ( ( SV43 = SV96 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(724,plain,
! [SV106: $i,SV105: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV105 @ SV106 ) )
= $false )
| ( ( SV50 = SV97 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(725,plain,
! [SV107: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY325: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV107 @ SY325 ) ) )
= $true )
| ( ( SV28 = SV95 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(726,plain,
! [SV108: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ! [SY326: $i] :
( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV108 @ SY326 ) ) )
= $true )
| ( ( SV43 = SV96 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(727,plain,
! [SV109: $i,SV107: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV107 @ SV109 ) )
= $true )
| ( ( SV28 = SV95 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(728,plain,
! [SV110: $i,SV108: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
!= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV108 @ SV110 ) )
= $true )
| ( ( SV43 = SV96 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(729,plain,
! [SV109: $i,SV107: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV107 @ SV109 ) )
= $false )
| ( ( SV28 = SV95 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(730,plain,
! [SV110: $i,SV108: $i,SV98: $i,SV97: $i,SV96: $i,SV95: $i,SV74: $i,SV69: $i,SV57: $i,SV50: $i,SV43: $i,SV28: $i] :
( ( ( ( g1_cat_1 @ SV28 @ SV43 @ SV50 @ SV57 @ SV69 @ SV74 )
= ( g1_cat_1 @ SV95 @ SV96 @ SV97 @ SV98 @ SV108 @ SV110 ) )
= $false )
| ( ( SV43 = SV96 )
= $true )
| ( ( v1_funct_2 @ SV74 @ SV28 @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV69 @ ( k2_zfmisc_1 @ SV43 @ SV43 ) @ SV43 )
= $false )
| ( ( m1_relset_1 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV57 )
= $false )
| ( ( v1_funct_2 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v1_funct_1 @ SV50 )
= $false )
| ( ( m1_relset_1 @ SV50 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_2 @ SV57 @ SV43 @ SV28 )
= $false )
| ( ( v1_funct_1 @ SV69 )
= $false )
| ( ( v1_funct_1 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV28 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(731,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[164,730,729,724,715,706,697,679,678,637,636,622,610,609,599,598,586,584,570,564,562,561,560,559,558,557,545,544,540,539,523,522,521,497,496,495,494,493,487,486,485,480,477,464,462,451,450,426,425,424,418,417,416,415,409,383,378,377,370,366,365,363,357,338,335,328,284,275,271,248,242,241,210,209,201,195,194,191,187,180,177,176,175,165]) ).
thf(732,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n001.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 18:36:24 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.00/1.10
% 5.00/1.10 No.of.Axioms: 52
% 5.00/1.10
% 5.00/1.10 Length.of.Defs: 0
% 5.00/1.10
% 5.00/1.10 Contains.Choice.Funs: false
% 5.00/1.10 ........................................
% 5.00/1.10
% 5.00/1.10 ********************************
% 5.00/1.10 * All subproblems solved! *
% 5.00/1.10 ********************************
% 5.00/1.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:54,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:731,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.00/1.10
% 5.00/1.10 %**** Beginning of derivation protocol ****
% 5.00/1.10 % SZS output start CNFRefutation
% See solution above
% 5.00/1.11
% 5.00/1.11 %**** End of derivation protocol ****
% 5.00/1.11 %**** no. of clauses in derivation: 732 ****
% 5.00/1.11 %**** clause counter: 731 ****
% 5.00/1.11
% 5.00/1.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:54,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:731,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------