TSTP Solution File: GRP640+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:19:05 EDT 2022
% Result : Theorem 2.83s 3.07s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 112
% Syntax : Number of formulae : 934 ( 475 unt; 49 typ; 0 def)
% Number of atoms : 8442 (2333 equ; 0 cnn)
% Maximal formula atoms : 16 ( 9 avg)
% Number of connectives : 15537 (2839 ~;3007 |; 278 &;9279 @)
% ( 6 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 52 ( 49 usr; 14 con; 0-4 aty)
% Number of variables : 2073 ( 0 ^2045 !; 28 ?;2073 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g1_group_1,type,
g1_group_1: $i > $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k2_funct_2,type,
k2_funct_2: $i > $i > $i > $i > $i ).
thf(tp_k2_xboole_0,type,
k2_xboole_0: $i > $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k5_group_4,type,
k5_group_4: $i > $i > $i ).
thf(tp_k8_group_4,type,
k8_group_4: $i > $i > $i > $i ).
thf(tp_k9_relat_1,type,
k9_relat_1: $i > $i > $i ).
thf(tp_l1_group_1,type,
l1_group_1: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_m1_group_2,type,
m1_group_2: $i > $i > $o ).
thf(tp_m1_relset_1,type,
m1_relset_1: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_r1_group_2,type,
r1_group_2: $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_B,type,
sK11_B: $i > $i ).
thf(tp_sK12_A,type,
sK12_A: $i ).
thf(tp_sK13_A,type,
sK13_A: $i ).
thf(tp_sK14_B,type,
sK14_B: $i > $i ).
thf(tp_sK15_A,type,
sK15_A: $i ).
thf(tp_sK16_B,type,
sK16_B: $i > $i ).
thf(tp_sK17_C,type,
sK17_C: $i > $i > $i ).
thf(tp_sK18_A,type,
sK18_A: $i ).
thf(tp_sK19_C,type,
sK19_C: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_C,type,
sK20_C: $i > $i > $i ).
thf(tp_sK2_SY122,type,
sK2_SY122: $i ).
thf(tp_sK3_SY127,type,
sK3_SY127: $i ).
thf(tp_sK4_SY131,type,
sK4_SY131: $i ).
thf(tp_sK5_SY134,type,
sK5_SY134: $i ).
thf(tp_sK6_SY136,type,
sK6_SY136: $i ).
thf(tp_sK7_C,type,
sK7_C: $i > $i > $i ).
thf(tp_sK8_B,type,
sK8_B: $i > $i ).
thf(tp_sK9_B,type,
sK9_B: $i > $i ).
thf(tp_u1_group_1,type,
u1_group_1: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
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_group_1,type,
v1_group_1: $i > $o ).
thf(tp_v1_partfun1,type,
v1_partfun1: $i > $i > $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v3_group_1,type,
v3_group_1: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v4_group_1,type,
v4_group_1: $i > $o ).
thf(1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( D
= ( k2_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) )
=> ( r1_group_2 @ A @ ( k8_group_4 @ A @ B @ C ) @ ( k5_group_4 @ A @ D ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_latsubgr) ).
thf(2,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(3,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(4,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(5,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(6,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(7,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( l1_group_1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
thf(8,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_group_2 @ B @ A )
& ( m1_group_2 @ C @ A ) )
=> ( ( v1_group_1 @ ( k8_group_4 @ A @ B @ C ) )
& ( m1_group_2 @ ( k8_group_4 @ A @ B @ C ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_group_4) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( v1_group_1 @ ( k5_group_4 @ A @ B ) )
& ( m1_group_2 @ ( k5_group_4 @ A @ B ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
thf(11,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_xboole_0) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B ) )
=> ( m1_subset_1 @ ( k2_funct_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_2) ).
thf(13,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A )
& ( v1_group_1 @ C )
& ( m1_group_2 @ C @ A ) )
=> ( ( r1_group_2 @ A @ B @ C )
<=> ( B = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
thf(15,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(16,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B ) )
=> ( ( k2_funct_2 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
thf(17,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(18,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(19,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ? [B: $i] : ( m1_group_2 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_group_2) ).
thf(20,axiom,
? [A: $i] : ( l1_group_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_group_1) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A )
& ( v1_group_1 @ C )
& ( m1_group_2 @ C @ A ) )
=> ( r1_group_2 @ A @ B @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_group_2) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A )
& ( v1_group_1 @ C )
& ( m1_group_2 @ C @ A ) )
=> ( ( r1_group_2 @ A @ B @ C )
=> ( r1_group_2 @ A @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_group_2) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
thf(25,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(26,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(27,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(28,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(29,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
thf(30,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(31,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(32,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(33,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(34,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
thf(38,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_funct_2) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_funct_2) ).
thf(41,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(42,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(43,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(44,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relat_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] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(47,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(48,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( ( v1_group_1 @ A )
=> ( A
= ( g1_group_1 @ ( u1_struct_0 @ A ) @ ( u1_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
thf(49,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(50,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(51,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(52,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(53,axiom,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
thf(54,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_partfun1) ).
thf(55,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_2) ).
thf(56,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_2) ).
thf(58,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( ( v1_funct_1 @ ( u1_group_1 @ A ) )
& ( v1_funct_2 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_group_1) ).
thf(59,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ( ( v1_group_1 @ ( g1_group_1 @ A @ B ) )
& ( l1_group_1 @ ( g1_group_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_group_1) ).
thf(61,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(62,axiom,
! [A: $i,B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [C: $i,D: $i] :
( ( ( g1_group_1 @ A @ B )
= ( g1_group_1 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_group_1) ).
thf(63,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_group_2 @ D @ A )
=> ! [E: $i] :
( ( ( v1_funct_1 @ E )
& ( v1_funct_2 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( F
= ( k2_xboole_0 @ ( u1_struct_0 @ C ) @ ( u1_struct_0 @ D ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k8_group_4 @ A @ C @ D ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k5_group_4 @ A @ F ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsubgr) ).
thf(64,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_group_2 @ D @ A )
=> ! [E: $i] :
( ( ( v1_funct_1 @ E )
& ( v1_funct_2 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( F
= ( k2_xboole_0 @ ( u1_struct_0 @ C ) @ ( u1_struct_0 @ D ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k8_group_4 @ A @ C @ D ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k5_group_4 @ A @ F ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[63]) ).
thf(65,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_group_2 @ D @ A )
=> ! [E: $i] :
( ( ( v1_funct_1 @ E )
& ( v1_funct_2 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( F
= ( k2_xboole_0 @ ( u1_struct_0 @ C ) @ ( u1_struct_0 @ D ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k8_group_4 @ A @ C @ D ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k5_group_4 @ A @ F ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[64]) ).
thf(66,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( D
= ( k2_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) )
=> ( r1_group_2 @ A @ ( k8_group_4 @ A @ B @ C ) @ ( k5_group_4 @ A @ D ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(68,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(69,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4]) ).
thf(70,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)],[5]) ).
thf(71,plain,
$true = $true,
inference(unfold_def,[status(thm)],[6]) ).
thf(72,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( l1_group_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(73,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(74,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_group_2 @ B @ A )
& ( m1_group_2 @ C @ A ) )
=> ( ( v1_group_1 @ ( k8_group_4 @ A @ B @ C ) )
& ( m1_group_2 @ ( k8_group_4 @ A @ B @ C ) @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( v1_group_1 @ ( k5_group_4 @ A @ B ) )
& ( m1_group_2 @ ( k5_group_4 @ A @ B ) @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(76,plain,
$true = $true,
inference(unfold_def,[status(thm)],[11]) ).
thf(77,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B ) )
=> ( m1_subset_1 @ ( k2_funct_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(78,plain,
$true = $true,
inference(unfold_def,[status(thm)],[13]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A )
& ( v1_group_1 @ C )
& ( m1_group_2 @ C @ A ) )
=> ( ( r1_group_2 @ A @ B @ C )
<=> ( B = C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(80,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)],[15]) ).
thf(81,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B ) )
=> ( ( k2_funct_2 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(83,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(84,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ? [B: $i] : ( m1_group_2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(85,plain,
( ( ? [A: $i] : ( l1_group_1 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A )
& ( v1_group_1 @ C )
& ( m1_group_2 @ C @ A ) )
=> ( r1_group_2 @ A @ B @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(87,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A )
& ( v1_group_1 @ C )
& ( m1_group_2 @ C @ A ) )
=> ( ( r1_group_2 @ A @ B @ C )
=> ( r1_group_2 @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(88,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(92,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(94,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(95,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(96,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(97,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(98,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(99,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(100,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(101,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(102,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(103,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(104,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(105,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(106,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)],[41]) ).
thf(107,plain,
$true = $true,
inference(unfold_def,[status(thm)],[42]) ).
thf(108,plain,
$true = $true,
inference(unfold_def,[status(thm)],[43]) ).
thf(109,plain,
$true = $true,
inference(unfold_def,[status(thm)],[44]) ).
thf(110,plain,
$true = $true,
inference(unfold_def,[status(thm)],[45]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(112,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(113,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( ( v1_group_1 @ A )
=> ( A
= ( g1_group_1 @ ( u1_struct_0 @ A ) @ ( u1_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(114,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(115,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)],[50]) ).
thf(116,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)],[51]) ).
thf(117,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(118,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(120,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(121,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(122,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(123,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( ( v1_funct_1 @ ( u1_group_1 @ A ) )
& ( v1_funct_2 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(124,plain,
$true = $true,
inference(unfold_def,[status(thm)],[59]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ( ( v1_group_1 @ ( g1_group_1 @ A @ B ) )
& ( l1_group_1 @ ( g1_group_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(126,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(127,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [C: $i,D: $i] :
( ( ( g1_group_1 @ A @ B )
= ( g1_group_1 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(128,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( v3_group_1 @ sK1_A )
& ( v4_group_1 @ sK1_A )
& ( l1_group_1 @ sK1_A ) )
=> ! [SY122: $i] :
( ( ~ ( v3_struct_0 @ SY122 )
& ( v3_group_1 @ SY122 )
& ( v4_group_1 @ SY122 )
& ( l1_group_1 @ SY122 ) )
=> ! [SY123: $i] :
( ( m1_group_2 @ SY123 @ sK1_A )
=> ! [SY124: $i] :
( ( m1_group_2 @ SY124 @ sK1_A )
=> ! [SY125: $i] :
( ( ( v1_funct_1 @ SY125 )
& ( v1_funct_2 @ SY125 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) )
& ( m2_relset_1 @ SY125 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) ) )
=> ! [SY126: $i] :
( ( m1_subset_1 @ SY126 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( SY126
= ( k2_xboole_0 @ ( u1_struct_0 @ SY123 ) @ ( u1_struct_0 @ SY124 ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) @ SY125 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ SY123 @ SY124 ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) @ SY125 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ SY126 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(129,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[128]) ).
thf(130,plain,
( ( v3_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[128]) ).
thf(131,plain,
( ( v4_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[128]) ).
thf(132,plain,
( ( l1_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[128]) ).
thf(133,plain,
( ( ! [SY122: $i] :
( ( ~ ( v3_struct_0 @ SY122 )
& ( v3_group_1 @ SY122 )
& ( v4_group_1 @ SY122 )
& ( l1_group_1 @ SY122 ) )
=> ! [SY123: $i] :
( ( m1_group_2 @ SY123 @ sK1_A )
=> ! [SY124: $i] :
( ( m1_group_2 @ SY124 @ sK1_A )
=> ! [SY125: $i] :
( ( ( v1_funct_1 @ SY125 )
& ( v1_funct_2 @ SY125 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) )
& ( m2_relset_1 @ SY125 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) ) )
=> ! [SY126: $i] :
( ( m1_subset_1 @ SY126 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( SY126
= ( k2_xboole_0 @ ( u1_struct_0 @ SY123 ) @ ( u1_struct_0 @ SY124 ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) @ SY125 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ SY123 @ SY124 ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) @ SY125 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ SY126 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[128]) ).
thf(134,plain,
( ( ~ ! [SY122: $i] :
( ( ~ ( v3_struct_0 @ SY122 )
& ( v3_group_1 @ SY122 )
& ( v4_group_1 @ SY122 )
& ( l1_group_1 @ SY122 ) )
=> ! [SY123: $i] :
( ( m1_group_2 @ SY123 @ sK1_A )
=> ! [SY124: $i] :
( ( m1_group_2 @ SY124 @ sK1_A )
=> ! [SY125: $i] :
( ( ( v1_funct_1 @ SY125 )
& ( v1_funct_2 @ SY125 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) )
& ( m2_relset_1 @ SY125 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) ) )
=> ! [SY126: $i] :
( ( m1_subset_1 @ SY126 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( ( SY126
= ( k2_xboole_0 @ ( u1_struct_0 @ SY123 ) @ ( u1_struct_0 @ SY124 ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) @ SY125 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ SY123 @ SY124 ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY122 ) @ SY125 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ SY126 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[133]) ).
thf(135,plain,
( ( ~ ( v3_struct_0 @ sK2_SY122 )
& ( v3_group_1 @ sK2_SY122 )
& ( v4_group_1 @ sK2_SY122 )
& ( l1_group_1 @ sK2_SY122 )
& ( m1_group_2 @ sK3_SY127 @ sK1_A )
& ( m1_group_2 @ sK4_SY131 @ sK1_A )
& ( v1_funct_1 @ sK5_SY134 )
& ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) )
& ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) )
& ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ( sK6_SY136
= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
& ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(136,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ! [C: $i] :
( ~ ( m1_group_2 @ C @ A )
| ! [D: $i] :
( ~ ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( D
!= ( k2_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) )
| ( r1_group_2 @ A @ ( k8_group_4 @ A @ B @ C ) @ ( k5_group_4 @ A @ D ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(137,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)],[67]) ).
thf(138,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)],[70]) ).
thf(139,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ( ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ~ ( v3_struct_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ( v3_group_1 @ B ) )
& ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ( l1_group_1 @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(140,plain,
( ( ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(141,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_group_2 @ B @ A )
| ~ ( m1_group_2 @ C @ A )
| ( m1_group_2 @ ( k8_group_4 @ A @ B @ C ) @ A ) )
& ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_group_2 @ B @ A )
| ~ ( m1_group_2 @ C @ A )
| ( v1_group_1 @ ( k8_group_4 @ A @ B @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(142,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( m1_group_2 @ ( k5_group_4 @ A @ B ) @ A ) )
& ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( v1_group_1 @ ( k5_group_4 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] : ( m1_subset_1 @ ( k2_funct_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(144,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A )
| ( B != C )
| ( r1_group_2 @ A @ B @ C ) )
& ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A )
| ~ ( r1_group_2 @ A @ B @ C )
| ( B = C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(145,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)],[80]) ).
thf(146,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] :
( ( k2_funct_2 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(147,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK7_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(148,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK8_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(149,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ( m1_group_2 @ ( sK9_B @ A ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(150,plain,
( ( l1_group_1 @ sK10_A )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(151,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A ) )
| ( r1_group_2 @ A @ B @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(152,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A )
| ~ ( r1_group_2 @ A @ B @ C )
| ( r1_group_2 @ A @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(153,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(154,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(155,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(156,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(157,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(158,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK11_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK11_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(159,plain,
( ( ( l1_struct_0 @ sK12_A )
& ~ ( v3_struct_0 @ sK12_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(160,plain,
( ( ~ ( v1_xboole_0 @ sK13_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(161,plain,
( ( ! [A: $i] :
( ( m1_subset_1 @ ( sK14_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ ( sK14_B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(162,plain,
( ( v1_xboole_0 @ sK15_A )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(163,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK16_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK16_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[99]) ).
thf(164,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[100]) ).
thf(165,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(166,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(167,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(168,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( v1_xboole_0 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[104]) ).
thf(169,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
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(extcnf_combined,[status(esa)],[106]) ).
thf(171,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK17_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(172,plain,
( ( l1_struct_0 @ sK18_A )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(173,plain,
( ( ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ A )
| ( A
= ( g1_group_1 @ ( u1_struct_0 @ A ) @ ( u1_group_1 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(174,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(175,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)],[115]) ).
thf(176,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)],[116]) ).
thf(177,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(178,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK19_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK19_C @ B @ A ) )
& ( v1_funct_1 @ ( sK19_C @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(179,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK20_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK20_C @ B @ A ) )
& ( v1_funct_1 @ ( sK20_C @ B @ A ) )
& ( v1_funct_2 @ ( sK20_C @ B @ A ) @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(180,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(181,plain,
( ( ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( v1_funct_1 @ ( u1_group_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( v1_funct_2 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( m2_relset_1 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(182,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_funct_1 @ B )
| ~ ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ~ ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ( l1_group_1 @ ( g1_group_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( v1_funct_1 @ B )
| ~ ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ~ ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ( v1_group_1 @ ( g1_group_1 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(183,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(184,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_funct_1 @ B )
| ~ ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ~ ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ( ! [C: $i] :
( ! [D: $i] :
( ( g1_group_1 @ A @ B )
!= ( g1_group_1 @ C @ D ) )
| ( A = C ) )
& ! [C: $i,D: $i] :
( ( ( g1_group_1 @ A @ B )
!= ( g1_group_1 @ C @ D ) )
| ( B = D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(185,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_funct_1 @ B )
| ~ ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ~ ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ( ! [C: $i] :
( ! [D: $i] :
( ( g1_group_1 @ A @ B )
!= ( g1_group_1 @ C @ D ) )
| ( A = C ) )
& ! [C: $i,D: $i] :
( ( ( g1_group_1 @ A @ B )
!= ( g1_group_1 @ C @ D ) )
| ( B = D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(186,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(187,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_funct_1 @ B )
| ~ ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ~ ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ( l1_group_1 @ ( g1_group_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( v1_funct_1 @ B )
| ~ ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ~ ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
| ( v1_group_1 @ ( g1_group_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(188,plain,
$true = $true,
inference(copy,[status(thm)],[124]) ).
thf(189,plain,
( ( ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( v1_funct_1 @ ( u1_group_1 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( v1_funct_2 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) )
& ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( m2_relset_1 @ ( u1_group_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(190,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_partfun1 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(191,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(192,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK20_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK20_C @ B @ A ) )
& ( v1_funct_1 @ ( sK20_C @ B @ A ) )
& ( v1_funct_2 @ ( sK20_C @ B @ A ) @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(193,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ ( sK19_C @ B @ A ) @ A @ B )
& ( v1_relat_1 @ ( sK19_C @ B @ A ) )
& ( v1_funct_1 @ ( sK19_C @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(194,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(195,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(196,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)],[176]) ).
thf(197,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)],[175]) ).
thf(198,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(199,plain,
( ( ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ A )
| ( A
= ( g1_group_1 @ ( u1_struct_0 @ A ) @ ( u1_group_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(200,plain,
( ( l1_struct_0 @ sK18_A )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(201,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK17_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(202,plain,
$true = $true,
inference(copy,[status(thm)],[110]) ).
thf(203,plain,
$true = $true,
inference(copy,[status(thm)],[109]) ).
thf(204,plain,
$true = $true,
inference(copy,[status(thm)],[108]) ).
thf(205,plain,
$true = $true,
inference(copy,[status(thm)],[107]) ).
thf(206,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)],[170]) ).
thf(207,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(208,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ( ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_1 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( v1_xboole_0 @ C ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_partfun1 @ C @ A @ B ) )
& ! [C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(209,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(210,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(211,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(212,plain,
( ( ! [A: $i,B: $i] :
( ( v1_xboole_0 @ A )
| ( v1_xboole_0 @ B )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(213,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK16_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK16_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(214,plain,
( ( v1_xboole_0 @ sK15_A )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(215,plain,
( ( ! [A: $i] :
( ( m1_subset_1 @ ( sK14_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ ( sK14_B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(216,plain,
( ( ~ ( v1_xboole_0 @ sK13_A ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(217,plain,
( ( ( l1_struct_0 @ sK12_A )
& ~ ( v3_struct_0 @ sK12_A ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(218,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK11_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK11_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(219,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(220,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(221,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(222,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(223,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(224,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(225,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A )
| ~ ( r1_group_2 @ A @ B @ C )
| ( r1_group_2 @ A @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(226,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A ) )
| ( r1_group_2 @ A @ B @ B ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(227,plain,
( ( l1_group_1 @ sK10_A )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(228,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ( m1_group_2 @ ( sK9_B @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(229,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK8_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(230,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK7_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(231,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] :
( ( k2_funct_2 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(232,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)],[145]) ).
thf(233,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A )
| ( B != C )
| ( r1_group_2 @ A @ B @ C ) )
& ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( v1_group_1 @ B )
| ~ ( m1_group_2 @ B @ A )
| ~ ( v1_group_1 @ C )
| ~ ( m1_group_2 @ C @ A )
| ~ ( r1_group_2 @ A @ B @ C )
| ( B = C ) ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(234,plain,
$true = $true,
inference(copy,[status(thm)],[78]) ).
thf(235,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( v1_funct_1 @ C )
| ~ ( v1_funct_2 @ C @ A @ B )
| ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] : ( m1_subset_1 @ ( k2_funct_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(236,plain,
$true = $true,
inference(copy,[status(thm)],[76]) ).
thf(237,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( m1_group_2 @ ( k5_group_4 @ A @ B ) @ A ) )
& ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( v1_group_1 @ ( k5_group_4 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(238,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_group_2 @ B @ A )
| ~ ( m1_group_2 @ C @ A )
| ( m1_group_2 @ ( k8_group_4 @ A @ B @ C ) @ A ) )
& ! [B: $i,C: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ~ ( m1_group_2 @ B @ A )
| ~ ( m1_group_2 @ C @ A )
| ( v1_group_1 @ ( k8_group_4 @ A @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(239,plain,
( ( ! [A: $i] :
( ~ ( l1_group_1 @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(240,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ( ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ~ ( v3_struct_0 @ B ) )
& ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ( v3_group_1 @ B ) )
& ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ( l1_group_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(241,plain,
$true = $true,
inference(copy,[status(thm)],[71]) ).
thf(242,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)],[138]) ).
thf(243,plain,
$true = $true,
inference(copy,[status(thm)],[69]) ).
thf(244,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(245,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)],[137]) ).
thf(246,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v3_group_1 @ A )
| ~ ( v4_group_1 @ A )
| ~ ( l1_group_1 @ A )
| ! [B: $i] :
( ~ ( m1_group_2 @ B @ A )
| ! [C: $i] :
( ~ ( m1_group_2 @ C @ A )
| ! [D: $i] :
( ~ ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
| ( D
!= ( k2_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) )
| ( r1_group_2 @ A @ ( k8_group_4 @ A @ B @ C ) @ ( k5_group_4 @ A @ D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(247,plain,
( ( l1_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(248,plain,
( ( v4_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(249,plain,
( ( v3_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(250,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(251,plain,
( ( ~ ( v3_struct_0 @ sK2_SY122 )
& ( v3_group_1 @ sK2_SY122 )
& ( v4_group_1 @ sK2_SY122 )
& ( l1_group_1 @ sK2_SY122 )
& ( m1_group_2 @ sK3_SY127 @ sK1_A )
& ( m1_group_2 @ sK4_SY131 @ sK1_A )
& ( v1_funct_1 @ sK5_SY134 )
& ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) )
& ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) )
& ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
& ( sK6_SY136
= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
& ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(252,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_group_2 @ SX1 @ SX0 )
| ~ ( m1_group_2 @ SX2 @ SX0 )
| ( m1_group_2 @ ( k8_group_4 @ SX0 @ SX1 @ SX2 ) @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_group_2 @ SX1 @ SX0 )
| ~ ( m1_group_2 @ SX2 @ SX0 )
| ( v1_group_1 @ ( k8_group_4 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(253,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)],[232]) ).
thf(254,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_struct_0 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SX0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(255,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ~ ( v3_struct_0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ( v3_group_1 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ( l1_group_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(256,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK19_C @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( v1_relat_1 @ ( sK19_C @ SX1 @ SX0 ) ) )
| ~ ( v1_funct_1 @ ( sK19_C @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(257,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)],[245]) ).
thf(258,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_partfun1 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_partfun1 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(259,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK12_A )
| ~ ~ ( v3_struct_0 @ sK12_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(260,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( ~ ! [SX2: $i] :
( ! [SX3: $i] :
( ( g1_group_1 @ SX0 @ SX1 )
!= ( g1_group_1 @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( g1_group_1 @ SX0 @ SX1 )
!= ( g1_group_1 @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(261,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v1_xboole_0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_partfun1 @ SX2 @ SX0 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(262,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( v1_group_1 @ SX1 )
| ~ ( m1_group_2 @ SX1 @ SX0 )
| ~ ( v1_group_1 @ SX2 )
| ~ ( m1_group_2 @ SX2 @ SX0 )
| ( SX1 != SX2 )
| ( r1_group_2 @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( v1_group_1 @ SX1 )
| ~ ( m1_group_2 @ SX1 @ SX0 )
| ~ ( v1_group_1 @ SX2 )
| ~ ( m1_group_2 @ SX2 @ SX0 )
| ~ ( r1_group_2 @ SX0 @ SX1 @ SX2 )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(263,plain,
( ( ! [SX0: $i] :
~ ( ~ ( m1_subset_1 @ ( sK14_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ ( sK14_B @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(264,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) )
| ~ ( l1_group_1 @ sK2_SY122 ) )
| ~ ~ ( ~ ( m1_group_2 @ sK3_SY127 @ sK1_A )
| ~ ~ ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(265,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( l1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( v1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(266,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v1_xboole_0 @ SX1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_xboole_0 @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_partfun1 @ SX2 @ SX0 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 )
| ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(267,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SX1 @ SX0 ) @ SX0 @ SX1 )
| ~ ( v1_relat_1 @ ( sK20_C @ SX1 @ SX0 ) ) )
| ~ ( v1_funct_1 @ ( sK20_C @ SX1 @ SX0 ) ) )
| ~ ( v1_funct_2 @ ( sK20_C @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(268,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_group_2 @ ( k5_group_4 @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( v1_group_1 @ ( k5_group_4 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(269,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK16_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ ( sK16_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(270,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_1 @ ( u1_group_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_2 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( m2_relset_1 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(271,plain,
! [SV1: $i] :
( ( ! [SY137: $i] :
( ~ ( r2_hidden @ SV1 @ SY137 )
| ~ ( r2_hidden @ SY137 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(272,plain,
! [SV2: $i] :
( ( ( k2_xboole_0 @ SV2 @ k1_xboole_0 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(273,plain,
! [SV3: $i] :
( ( ! [SY138: $i] :
( ~ ( r2_hidden @ SV3 @ SY138 )
| ( m1_subset_1 @ SV3 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(274,plain,
! [SV4: $i] :
( ( ! [SY139: $i,SY140: $i] :
( ~ ( m1_subset_1 @ SY139 @ ( k1_zfmisc_1 @ SY140 ) )
| ~ ( r2_hidden @ SV4 @ SY139 )
| ( m1_subset_1 @ SV4 @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(275,plain,
! [SV5: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ~ ( m1_subset_1 @ SY141 @ ( k1_zfmisc_1 @ SY142 ) )
| ~ ( r2_hidden @ SV5 @ SY141 )
| ~ ( v1_xboole_0 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(276,plain,
! [SV6: $i] :
( ( r1_tarski @ SV6 @ SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(277,plain,
! [SV7: $i] :
( ( ~ ( l1_group_1 @ SV7 )
| ~ ( v1_group_1 @ SV7 )
| ( SV7
= ( g1_group_1 @ ( u1_struct_0 @ SV7 ) @ ( u1_group_1 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(278,plain,
! [SV8: $i] :
( ( ! [SY143: $i] : ( m1_relset_1 @ ( sK17_C @ SY143 @ SV8 ) @ SV8 @ SY143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(279,plain,
! [SV9: $i] :
( ( ! [SY144: $i,SY145: $i] :
( ~ ( m1_subset_1 @ SY145 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV9 @ SY144 ) ) )
| ( v1_relat_1 @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(280,plain,
! [SV10: $i] :
( ( ( v3_struct_0 @ SV10 )
| ~ ( l1_struct_0 @ SV10 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(281,plain,
! [SV11: $i] :
( ( ( v1_xboole_0 @ SV11 )
| ! [SY146: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV11 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(282,plain,
! [SV12: $i] :
( ( ( v1_xboole_0 @ SV12 )
| ! [SY147: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SY147 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(283,plain,
! [SV13: $i] :
( ( ! [SY148: $i] :
( ( v1_xboole_0 @ SV13 )
| ( v1_xboole_0 @ SY148 )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV13 @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(284,plain,
( ( v1_xboole_0 @ sK13_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(285,plain,
! [SV14: $i] :
( ( ! [SY149: $i] :
( ~ ( m1_subset_1 @ SV14 @ SY149 )
| ( r2_hidden @ SV14 @ SY149 )
| ( v1_xboole_0 @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(286,plain,
! [SV15: $i] :
( ( ~ ( v1_xboole_0 @ SV15 )
| ( SV15 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(287,plain,
! [SV16: $i] :
( ( ! [SY150: $i] :
( ~ ( r2_hidden @ SV16 @ SY150 )
| ~ ( v1_xboole_0 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(288,plain,
! [SV17: $i] :
( ( ! [SY151: $i] :
( ( SV17 = SY151 )
| ~ ( v1_xboole_0 @ SV17 )
| ~ ( v1_xboole_0 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(289,plain,
! [SV18: $i] :
( ( ! [SY152: $i] :
( ( k2_xboole_0 @ SV18 @ SY152 )
= ( k2_xboole_0 @ SY152 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(290,plain,
! [SV19: $i] :
( ( ( k2_xboole_0 @ SV19 @ SV19 )
= SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(291,plain,
! [SV20: $i] :
( ( ! [SY153: $i,SY154: $i] :
( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 )
| ~ ( v1_group_1 @ SY153 )
| ~ ( m1_group_2 @ SY153 @ SV20 )
| ~ ( v1_group_1 @ SY154 )
| ~ ( m1_group_2 @ SY154 @ SV20 )
| ~ ( r1_group_2 @ SV20 @ SY153 @ SY154 )
| ( r1_group_2 @ SV20 @ SY154 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(292,plain,
! [SV21: $i] :
( ( ! [SY155: $i] :
( ! [SY156: $i] :
( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 )
| ~ ( v1_group_1 @ SY155 )
| ~ ( m1_group_2 @ SY155 @ SV21 )
| ~ ( v1_group_1 @ SY156 )
| ~ ( m1_group_2 @ SY156 @ SV21 ) )
| ( r1_group_2 @ SV21 @ SY155 @ SY155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(293,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
| ~ ( v3_group_1 @ SV22 )
| ~ ( l1_group_1 @ SV22 )
| ( m1_group_2 @ ( sK9_B @ SV22 ) @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(294,plain,
! [SV23: $i] :
( ( m1_subset_1 @ ( sK8_B @ SV23 ) @ SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(295,plain,
! [SV24: $i] :
( ( ! [SY157: $i] : ( m2_relset_1 @ ( sK7_C @ SY157 @ SV24 ) @ SV24 @ SY157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(296,plain,
! [SV25: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ( v1_funct_1 @ SY159 )
| ~ ( v1_funct_2 @ SY159 @ SV25 @ SY158 )
| ~ ( m1_relset_1 @ SY159 @ SV25 @ SY158 )
| ! [SY160: $i] :
( ( k2_funct_2 @ SV25 @ SY158 @ SY159 @ SY160 )
= ( k9_relat_1 @ SY159 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(297,plain,
! [SV26: $i] :
( ( ! [SY161: $i,SY162: $i] :
( ~ ( v1_funct_1 @ SY162 )
| ~ ( v1_funct_2 @ SY162 @ SV26 @ SY161 )
| ~ ( m1_relset_1 @ SY162 @ SV26 @ SY161 )
| ! [SY163: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SY161 @ SY162 @ SY163 ) @ ( k1_zfmisc_1 @ SY161 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(298,plain,
! [SV27: $i] :
( ( ~ ( l1_group_1 @ SV27 )
| ( l1_struct_0 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(299,plain,
! [SV28: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ~ ( m2_relset_1 @ SY165 @ SV28 @ SY164 )
| ( m1_subset_1 @ SY165 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV28 @ SY164 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(300,plain,
! [SV29: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(301,plain,
! [SV30: $i] :
( ( ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 )
| ~ ( v4_group_1 @ SV30 )
| ~ ( l1_group_1 @ SV30 )
| ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(302,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(303,plain,
! [SV31: $i] :
( ( ~ ( ~ ! [SY169: $i,SY170: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY169 @ SV31 )
| ~ ( m1_group_2 @ SY170 @ SV31 )
| ( m1_group_2 @ ( k8_group_4 @ SV31 @ SY169 @ SY170 ) @ SV31 ) )
| ~ ! [SY171: $i,SY172: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY171 @ SV31 )
| ~ ( m1_group_2 @ SY172 @ SV31 )
| ( v1_group_1 @ ( k8_group_4 @ SV31 @ SY171 @ SY172 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(304,plain,
! [SV32: $i] :
( ( ~ ( ~ ! [SY173: $i,SY174: $i] :
( ~ ( m1_relset_1 @ SY174 @ SV32 @ SY173 )
| ( m2_relset_1 @ SY174 @ SV32 @ SY173 ) )
| ~ ! [SY175: $i,SY176: $i] :
( ~ ( m2_relset_1 @ SY176 @ SV32 @ SY175 )
| ( m1_relset_1 @ SY176 @ SV32 @ SY175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(305,plain,
! [SV33: $i] :
( ( ( v3_struct_0 @ SV33 )
| ~ ( l1_struct_0 @ SV33 )
| ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV33 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV33 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(306,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 )
| ~ ( l1_group_1 @ SV34 )
| ~ ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
| ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(307,plain,
! [SV35: $i] :
( ( ! [SY180: $i] :
~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK19_C @ SY180 @ SV35 ) @ SV35 @ SY180 )
| ~ ( v1_relat_1 @ ( sK19_C @ SY180 @ SV35 ) ) )
| ~ ( v1_funct_1 @ ( sK19_C @ SY180 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(308,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)],[257]) ).
thf(309,plain,
! [SV36: $i] :
( ( ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( m1_relset_1 @ SY182 @ SV36 @ SY181 )
| ~ ( v1_funct_1 @ SY182 )
| ~ ( v1_partfun1 @ SY182 @ SV36 @ SY181 )
| ( v1_funct_1 @ SY182 ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( m1_relset_1 @ SY184 @ SV36 @ SY183 )
| ~ ( v1_funct_1 @ SY184 )
| ~ ( v1_partfun1 @ SY184 @ SV36 @ SY183 )
| ( v1_funct_2 @ SY184 @ SV36 @ SY183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(310,plain,
( ( ~ ( l1_struct_0 @ sK12_A )
| ~ ~ ( v3_struct_0 @ sK12_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(311,plain,
! [SV37: $i] :
( ( ! [SY185: $i] :
( ~ ( v1_funct_1 @ SY185 )
| ~ ( v1_funct_2 @ SY185 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
| ~ ( m1_relset_1 @ SY185 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
| ~ ( ~ ! [SY186: $i] :
( ! [SY187: $i] :
( ( g1_group_1 @ SV37 @ SY185 )
!= ( g1_group_1 @ SY186 @ SY187 ) )
| ( SV37 = SY186 ) )
| ~ ! [SY188: $i,SY189: $i] :
( ( ( g1_group_1 @ SV37 @ SY185 )
!= ( g1_group_1 @ SY188 @ SY189 ) )
| ( SY185 = SY189 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(312,plain,
! [SV38: $i] :
( ( ! [SY190: $i] :
( ( v1_xboole_0 @ SY190 )
| ~ ( ~ ~ ( ~ ! [SY191: $i] :
( ~ ( m1_relset_1 @ SY191 @ SV38 @ SY190 )
| ~ ( v1_funct_1 @ SY191 )
| ~ ( v1_funct_2 @ SY191 @ SV38 @ SY190 )
| ( v1_funct_1 @ SY191 ) )
| ~ ! [SY192: $i] :
( ~ ( m1_relset_1 @ SY192 @ SV38 @ SY190 )
| ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ SV38 @ SY190 )
| ( v1_partfun1 @ SY192 @ SV38 @ SY190 ) ) )
| ~ ! [SY193: $i] :
( ~ ( m1_relset_1 @ SY193 @ SV38 @ SY190 )
| ~ ( v1_funct_1 @ SY193 )
| ~ ( v1_funct_2 @ SY193 @ SV38 @ SY190 )
| ( v1_funct_2 @ SY193 @ SV38 @ SY190 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(313,plain,
! [SV39: $i] :
( ( ~ ( ~ ! [SY194: $i,SY195: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY194 )
| ~ ( m1_group_2 @ SY194 @ SV39 )
| ~ ( v1_group_1 @ SY195 )
| ~ ( m1_group_2 @ SY195 @ SV39 )
| ( SY194 != SY195 )
| ( r1_group_2 @ SV39 @ SY194 @ SY195 ) )
| ~ ! [SY196: $i,SY197: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY196 )
| ~ ( m1_group_2 @ SY196 @ SV39 )
| ~ ( v1_group_1 @ SY197 )
| ~ ( m1_group_2 @ SY197 @ SV39 )
| ~ ( r1_group_2 @ SV39 @ SY196 @ SY197 )
| ( SY196 = SY197 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(314,plain,
! [SV40: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK14_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ( v1_xboole_0 @ ( sK14_B @ SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(315,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) )
| ~ ( l1_group_1 @ sK2_SY122 ) )
| ~ ~ ( ~ ( m1_group_2 @ sK3_SY127 @ sK1_A )
| ~ ~ ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(316,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( l1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( v1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(317,plain,
! [SV41: $i] :
( ( ! [SY198: $i] :
( ( v1_xboole_0 @ SV41 )
| ( v1_xboole_0 @ SY198 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i] :
( ~ ( m1_relset_1 @ SY199 @ SV41 @ SY198 )
| ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ SV41 @ SY198 )
| ( v1_funct_1 @ SY199 ) )
| ~ ! [SY200: $i] :
( ~ ( m1_relset_1 @ SY200 @ SV41 @ SY198 )
| ~ ( v1_funct_1 @ SY200 )
| ~ ( v1_funct_2 @ SY200 @ SV41 @ SY198 )
| ~ ( v1_xboole_0 @ SY200 ) ) )
| ~ ! [SY201: $i] :
( ~ ( m1_relset_1 @ SY201 @ SV41 @ SY198 )
| ~ ( v1_funct_1 @ SY201 )
| ~ ( v1_funct_2 @ SY201 @ SV41 @ SY198 )
| ( v1_partfun1 @ SY201 @ SV41 @ SY198 ) ) )
| ~ ! [SY202: $i] :
( ~ ( m1_relset_1 @ SY202 @ SV41 @ SY198 )
| ~ ( v1_funct_1 @ SY202 )
| ~ ( v1_funct_2 @ SY202 @ SV41 @ SY198 )
| ( v1_funct_2 @ SY202 @ SV41 @ SY198 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(318,plain,
! [SV42: $i] :
( ( ! [SY203: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SY203 @ SV42 ) @ SV42 @ SY203 )
| ~ ( v1_relat_1 @ ( sK20_C @ SY203 @ SV42 ) ) )
| ~ ( v1_funct_1 @ ( sK20_C @ SY203 @ SV42 ) ) )
| ~ ( v1_funct_2 @ ( sK20_C @ SY203 @ SV42 ) @ SV42 @ SY203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(319,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_group_2 @ ( k5_group_4 @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( v1_group_1 @ ( k5_group_4 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(320,plain,
! [SV43: $i] :
( ( ( v1_xboole_0 @ SV43 )
| ~ ( ~ ( m1_subset_1 @ ( sK16_B @ SV43 ) @ ( k1_zfmisc_1 @ SV43 ) )
| ~ ~ ( v1_xboole_0 @ ( sK16_B @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(321,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_1 @ ( u1_group_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_2 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( m2_relset_1 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(322,plain,
! [SV44: $i,SV1: $i] :
( ( ~ ( r2_hidden @ SV1 @ SV44 )
| ~ ( r2_hidden @ SV44 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(323,plain,
! [SV45: $i,SV3: $i] :
( ( ~ ( r2_hidden @ SV3 @ SV45 )
| ( m1_subset_1 @ SV3 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(324,plain,
! [SV4: $i,SV46: $i] :
( ( ! [SY204: $i] :
( ~ ( m1_subset_1 @ SV46 @ ( k1_zfmisc_1 @ SY204 ) )
| ~ ( r2_hidden @ SV4 @ SV46 )
| ( m1_subset_1 @ SV4 @ SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(325,plain,
! [SV5: $i,SV47: $i] :
( ( ! [SY205: $i] :
( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SY205 ) )
| ~ ( r2_hidden @ SV5 @ SV47 )
| ~ ( v1_xboole_0 @ SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(326,plain,
! [SV7: $i] :
( ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV7 )
| ( SV7
= ( g1_group_1 @ ( u1_struct_0 @ SV7 ) @ ( u1_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(327,plain,
! [SV8: $i,SV48: $i] :
( ( m1_relset_1 @ ( sK17_C @ SV48 @ SV8 ) @ SV8 @ SV48 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(328,plain,
! [SV49: $i,SV9: $i] :
( ( ! [SY206: $i] :
( ~ ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV9 @ SV49 ) ) )
| ( v1_relat_1 @ SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(329,plain,
! [SV10: $i] :
( ( ( ( v3_struct_0 @ SV10 )
| ~ ( l1_struct_0 @ SV10 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(330,plain,
! [SV11: $i] :
( ( ( v1_xboole_0 @ SV11 )
= $true )
| ( ( ! [SY146: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV11 @ SY146 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(331,plain,
! [SV12: $i] :
( ( ( v1_xboole_0 @ SV12 )
= $true )
| ( ( ! [SY147: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SY147 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(332,plain,
! [SV50: $i,SV13: $i] :
( ( ( v1_xboole_0 @ SV13 )
| ( v1_xboole_0 @ SV50 )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV13 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(333,plain,
! [SV51: $i,SV14: $i] :
( ( ~ ( m1_subset_1 @ SV14 @ SV51 )
| ( r2_hidden @ SV14 @ SV51 )
| ( v1_xboole_0 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(334,plain,
! [SV15: $i] :
( ( ( ~ ( v1_xboole_0 @ SV15 ) )
= $true )
| ( ( SV15 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(335,plain,
! [SV52: $i,SV16: $i] :
( ( ~ ( r2_hidden @ SV16 @ SV52 )
| ~ ( v1_xboole_0 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(336,plain,
! [SV53: $i,SV17: $i] :
( ( ( SV17 = SV53 )
| ~ ( v1_xboole_0 @ SV17 )
| ~ ( v1_xboole_0 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(337,plain,
! [SV54: $i,SV18: $i] :
( ( ( k2_xboole_0 @ SV18 @ SV54 )
= ( k2_xboole_0 @ SV54 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(338,plain,
! [SV55: $i,SV20: $i] :
( ( ! [SY207: $i] :
( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 )
| ~ ( v1_group_1 @ SV55 )
| ~ ( m1_group_2 @ SV55 @ SV20 )
| ~ ( v1_group_1 @ SY207 )
| ~ ( m1_group_2 @ SY207 @ SV20 )
| ~ ( r1_group_2 @ SV20 @ SV55 @ SY207 )
| ( r1_group_2 @ SV20 @ SY207 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(339,plain,
! [SV56: $i,SV21: $i] :
( ( ! [SY208: $i] :
( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 )
| ~ ( v1_group_1 @ SV56 )
| ~ ( m1_group_2 @ SV56 @ SV21 )
| ~ ( v1_group_1 @ SY208 )
| ~ ( m1_group_2 @ SY208 @ SV21 ) )
| ( r1_group_2 @ SV21 @ SV56 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(340,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v3_group_1 @ SV22 )
| ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( m1_group_2 @ ( sK9_B @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(341,plain,
! [SV24: $i,SV57: $i] :
( ( m2_relset_1 @ ( sK7_C @ SV57 @ SV24 ) @ SV24 @ SV57 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(342,plain,
! [SV58: $i,SV25: $i] :
( ( ! [SY209: $i] :
( ~ ( v1_funct_1 @ SY209 )
| ~ ( v1_funct_2 @ SY209 @ SV25 @ SV58 )
| ~ ( m1_relset_1 @ SY209 @ SV25 @ SV58 )
| ! [SY210: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SY209 @ SY210 )
= ( k9_relat_1 @ SY209 @ SY210 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(343,plain,
! [SV59: $i,SV26: $i] :
( ( ! [SY211: $i] :
( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_funct_2 @ SY211 @ SV26 @ SV59 )
| ~ ( m1_relset_1 @ SY211 @ SV26 @ SV59 )
| ! [SY212: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SY211 @ SY212 ) @ ( k1_zfmisc_1 @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(344,plain,
! [SV27: $i] :
( ( ( ~ ( l1_group_1 @ SV27 ) )
= $true )
| ( ( l1_struct_0 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(345,plain,
! [SV60: $i,SV28: $i] :
( ( ! [SY213: $i] :
( ~ ( m2_relset_1 @ SY213 @ SV28 @ SV60 )
| ( m1_subset_1 @ SY213 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV28 @ SV60 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(346,plain,
! [SV29: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(347,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 )
| ~ ( v4_group_1 @ SV30 )
| ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(348,plain,
! [SV31: $i] :
( ( ~ ! [SY169: $i,SY170: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY169 @ SV31 )
| ~ ( m1_group_2 @ SY170 @ SV31 )
| ( m1_group_2 @ ( k8_group_4 @ SV31 @ SY169 @ SY170 ) @ SV31 ) )
| ~ ! [SY171: $i,SY172: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY171 @ SV31 )
| ~ ( m1_group_2 @ SY172 @ SV31 )
| ( v1_group_1 @ ( k8_group_4 @ SV31 @ SY171 @ SY172 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(349,plain,
! [SV32: $i] :
( ( ~ ! [SY173: $i,SY174: $i] :
( ~ ( m1_relset_1 @ SY174 @ SV32 @ SY173 )
| ( m2_relset_1 @ SY174 @ SV32 @ SY173 ) )
| ~ ! [SY175: $i,SY176: $i] :
( ~ ( m2_relset_1 @ SY176 @ SV32 @ SY175 )
| ( m1_relset_1 @ SY176 @ SV32 @ SY175 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(350,plain,
! [SV33: $i] :
( ( ( ( v3_struct_0 @ SV33 )
| ~ ( l1_struct_0 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV33 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV33 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(351,plain,
! [SV34: $i] :
( ( ( ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 )
| ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
| ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(352,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK19_C @ SV61 @ SV35 ) @ SV35 @ SV61 )
| ~ ( v1_relat_1 @ ( sK19_C @ SV61 @ SV35 ) ) )
| ~ ( v1_funct_1 @ ( sK19_C @ SV61 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(353,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(354,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(355,plain,
! [SV36: $i] :
( ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( m1_relset_1 @ SY182 @ SV36 @ SY181 )
| ~ ( v1_funct_1 @ SY182 )
| ~ ( v1_partfun1 @ SY182 @ SV36 @ SY181 )
| ( v1_funct_1 @ SY182 ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( m1_relset_1 @ SY184 @ SV36 @ SY183 )
| ~ ( v1_funct_1 @ SY184 )
| ~ ( v1_partfun1 @ SY184 @ SV36 @ SY183 )
| ( v1_funct_2 @ SY184 @ SV36 @ SY183 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(356,plain,
( ( ~ ( l1_struct_0 @ sK12_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(357,plain,
( ( ~ ~ ( v3_struct_0 @ sK12_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(358,plain,
! [SV37: $i,SV62: $i] :
( ( ~ ( v1_funct_1 @ SV62 )
| ~ ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
| ~ ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
| ~ ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(359,plain,
! [SV38: $i,SV63: $i] :
( ( ( v1_xboole_0 @ SV63 )
| ~ ( ~ ~ ( ~ ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) )
| ~ ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) )
| ~ ! [SY220: $i] :
( ~ ( m1_relset_1 @ SY220 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY220 )
| ~ ( v1_funct_2 @ SY220 @ SV38 @ SV63 )
| ( v1_funct_2 @ SY220 @ SV38 @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(360,plain,
! [SV39: $i] :
( ( ~ ! [SY194: $i,SY195: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY194 )
| ~ ( m1_group_2 @ SY194 @ SV39 )
| ~ ( v1_group_1 @ SY195 )
| ~ ( m1_group_2 @ SY195 @ SV39 )
| ( SY194 != SY195 )
| ( r1_group_2 @ SV39 @ SY194 @ SY195 ) )
| ~ ! [SY196: $i,SY197: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY196 )
| ~ ( m1_group_2 @ SY196 @ SV39 )
| ~ ( v1_group_1 @ SY197 )
| ~ ( m1_group_2 @ SY197 @ SV39 )
| ~ ( r1_group_2 @ SV39 @ SY196 @ SY197 )
| ( SY196 = SY197 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(361,plain,
! [SV40: $i] :
( ( ~ ( m1_subset_1 @ ( sK14_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ( v1_xboole_0 @ ( sK14_B @ SV40 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(362,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) )
| ~ ( l1_group_1 @ sK2_SY122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(363,plain,
( ( ~ ~ ( ~ ( m1_group_2 @ sK3_SY127 @ sK1_A )
| ~ ~ ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(364,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( l1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(365,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( v1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(366,plain,
! [SV64: $i,SV41: $i] :
( ( ( v1_xboole_0 @ SV41 )
| ( v1_xboole_0 @ SV64 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
| ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) )
| ~ ! [SY224: $i] :
( ~ ( m1_relset_1 @ SY224 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY224 )
| ~ ( v1_funct_2 @ SY224 @ SV41 @ SV64 )
| ( v1_funct_2 @ SY224 @ SV41 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(367,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
| ~ ( v1_funct_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
| ~ ( v1_funct_2 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(368,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_group_2 @ ( k5_group_4 @ SX0 @ SX1 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(369,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( v1_group_1 @ ( k5_group_4 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(370,plain,
! [SV43: $i] :
( ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK16_B @ SV43 ) @ ( k1_zfmisc_1 @ SV43 ) )
| ~ ~ ( v1_xboole_0 @ ( sK16_B @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(371,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_1 @ ( u1_group_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_2 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(372,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( m2_relset_1 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(373,plain,
! [SV44: $i,SV1: $i] :
( ( ( ~ ( r2_hidden @ SV1 @ SV44 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV44 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(374,plain,
! [SV45: $i,SV3: $i] :
( ( ( ~ ( r2_hidden @ SV3 @ SV45 ) )
= $true )
| ( ( m1_subset_1 @ SV3 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(375,plain,
! [SV4: $i,SV66: $i,SV46: $i] :
( ( ~ ( m1_subset_1 @ SV46 @ ( k1_zfmisc_1 @ SV66 ) )
| ~ ( r2_hidden @ SV4 @ SV46 )
| ( m1_subset_1 @ SV4 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(376,plain,
! [SV5: $i,SV67: $i,SV47: $i] :
( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV67 ) )
| ~ ( r2_hidden @ SV5 @ SV47 )
| ~ ( v1_xboole_0 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(377,plain,
! [SV7: $i] :
( ( ( l1_group_1 @ SV7 )
= $false )
| ( ( ~ ( v1_group_1 @ SV7 )
| ( SV7
= ( g1_group_1 @ ( u1_struct_0 @ SV7 ) @ ( u1_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(378,plain,
! [SV49: $i,SV9: $i,SV68: $i] :
( ( ~ ( m1_subset_1 @ SV68 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV9 @ SV49 ) ) )
| ( v1_relat_1 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(379,plain,
! [SV10: $i] :
( ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV10 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(380,plain,
! [SV69: $i,SV11: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV11 @ SV69 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(381,plain,
! [SV12: $i,SV70: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV70 @ SV12 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(382,plain,
! [SV50: $i,SV13: $i] :
( ( ( ( v1_xboole_0 @ SV13 )
| ( v1_xboole_0 @ SV50 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV13 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(383,plain,
! [SV51: $i,SV14: $i] :
( ( ( ~ ( m1_subset_1 @ SV14 @ SV51 ) )
= $true )
| ( ( ( r2_hidden @ SV14 @ SV51 )
| ( v1_xboole_0 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(384,plain,
! [SV15: $i] :
( ( ( v1_xboole_0 @ SV15 )
= $false )
| ( ( SV15 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(385,plain,
! [SV52: $i,SV16: $i] :
( ( ( ~ ( r2_hidden @ SV16 @ SV52 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(386,plain,
! [SV53: $i,SV17: $i] :
( ( ( ( SV17 = SV53 )
| ~ ( v1_xboole_0 @ SV17 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(387,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 )
| ~ ( v1_group_1 @ SV55 )
| ~ ( m1_group_2 @ SV55 @ SV20 )
| ~ ( v1_group_1 @ SV71 )
| ~ ( m1_group_2 @ SV71 @ SV20 )
| ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(388,plain,
! [SV56: $i,SV21: $i] :
( ( ( ! [SY208: $i] :
( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 )
| ~ ( v1_group_1 @ SV56 )
| ~ ( m1_group_2 @ SV56 @ SV21 )
| ~ ( v1_group_1 @ SY208 )
| ~ ( m1_group_2 @ SY208 @ SV21 ) ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(389,plain,
! [SV22: $i] :
( ( ( ( v3_struct_0 @ SV22 )
| ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( m1_group_2 @ ( sK9_B @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(390,plain,
! [SV58: $i,SV25: $i,SV72: $i] :
( ( ~ ( v1_funct_1 @ SV72 )
| ~ ( v1_funct_2 @ SV72 @ SV25 @ SV58 )
| ~ ( m1_relset_1 @ SV72 @ SV25 @ SV58 )
| ! [SY225: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SY225 )
= ( k9_relat_1 @ SV72 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(391,plain,
! [SV59: $i,SV26: $i,SV73: $i] :
( ( ~ ( v1_funct_1 @ SV73 )
| ~ ( v1_funct_2 @ SV73 @ SV26 @ SV59 )
| ~ ( m1_relset_1 @ SV73 @ SV26 @ SV59 )
| ! [SY226: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SY226 ) @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(392,plain,
! [SV27: $i] :
( ( ( l1_group_1 @ SV27 )
= $false )
| ( ( l1_struct_0 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(393,plain,
! [SV60: $i,SV28: $i,SV74: $i] :
( ( ~ ( m2_relset_1 @ SV74 @ SV28 @ SV60 )
| ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV28 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(394,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 )
| ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(395,plain,
! [SV31: $i] :
( ( ~ ! [SY169: $i,SY170: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY169 @ SV31 )
| ~ ( m1_group_2 @ SY170 @ SV31 )
| ( m1_group_2 @ ( k8_group_4 @ SV31 @ SY169 @ SY170 ) @ SV31 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(396,plain,
! [SV31: $i] :
( ( ~ ! [SY171: $i,SY172: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY171 @ SV31 )
| ~ ( m1_group_2 @ SY172 @ SV31 )
| ( v1_group_1 @ ( k8_group_4 @ SV31 @ SY171 @ SY172 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(397,plain,
! [SV32: $i] :
( ( ~ ! [SY173: $i,SY174: $i] :
( ~ ( m1_relset_1 @ SY174 @ SV32 @ SY173 )
| ( m2_relset_1 @ SY174 @ SV32 @ SY173 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(398,plain,
! [SV32: $i] :
( ( ~ ! [SY175: $i,SY176: $i] :
( ~ ( m2_relset_1 @ SY176 @ SV32 @ SY175 )
| ( m1_relset_1 @ SY176 @ SV32 @ SY175 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(399,plain,
! [SV33: $i] :
( ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV33 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV33 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(400,plain,
! [SV34: $i] :
( ( ( ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
| ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(401,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK19_C @ SV61 @ SV35 ) @ SV35 @ SV61 )
| ~ ( v1_relat_1 @ ( sK19_C @ SV61 @ SV35 ) ) )
| ~ ( v1_funct_1 @ ( sK19_C @ SV61 @ SV35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(402,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(403,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(404,plain,
! [SV36: $i] :
( ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( m1_relset_1 @ SY182 @ SV36 @ SY181 )
| ~ ( v1_funct_1 @ SY182 )
| ~ ( v1_partfun1 @ SY182 @ SV36 @ SY181 )
| ( v1_funct_1 @ SY182 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(405,plain,
! [SV36: $i] :
( ( ~ ! [SY183: $i,SY184: $i] :
( ~ ( m1_relset_1 @ SY184 @ SV36 @ SY183 )
| ~ ( v1_funct_1 @ SY184 )
| ~ ( v1_partfun1 @ SY184 @ SV36 @ SY183 )
| ( v1_funct_2 @ SY184 @ SV36 @ SY183 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(406,plain,
( ( l1_struct_0 @ sK12_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(407,plain,
( ( ~ ( v3_struct_0 @ sK12_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(408,plain,
! [SV37: $i,SV62: $i] :
( ( ( ~ ( v1_funct_1 @ SV62 )
| ~ ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
| ~ ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(409,plain,
! [SV38: $i,SV63: $i] :
( ( ( v1_xboole_0 @ SV63 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) )
| ~ ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) )
| ~ ! [SY220: $i] :
( ~ ( m1_relset_1 @ SY220 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY220 )
| ~ ( v1_funct_2 @ SY220 @ SV38 @ SV63 )
| ( v1_funct_2 @ SY220 @ SV38 @ SV63 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(410,plain,
! [SV39: $i] :
( ( ~ ! [SY194: $i,SY195: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY194 )
| ~ ( m1_group_2 @ SY194 @ SV39 )
| ~ ( v1_group_1 @ SY195 )
| ~ ( m1_group_2 @ SY195 @ SV39 )
| ( SY194 != SY195 )
| ( r1_group_2 @ SV39 @ SY194 @ SY195 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(411,plain,
! [SV39: $i] :
( ( ~ ! [SY196: $i,SY197: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY196 )
| ~ ( m1_group_2 @ SY196 @ SV39 )
| ~ ( v1_group_1 @ SY197 )
| ~ ( m1_group_2 @ SY197 @ SV39 )
| ~ ( r1_group_2 @ SV39 @ SY196 @ SY197 )
| ( SY196 = SY197 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(412,plain,
! [SV40: $i] :
( ( ~ ( m1_subset_1 @ ( sK14_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(413,plain,
! [SV40: $i] :
( ( ~ ( v1_xboole_0 @ ( sK14_B @ SV40 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(414,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) )
| ~ ( l1_group_1 @ sK2_SY122 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(415,plain,
( ( ~ ( ~ ( m1_group_2 @ sK3_SY127 @ sK1_A )
| ~ ~ ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(416,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( l1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(417,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 )
| ( v1_group_1 @ ( g1_group_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(418,plain,
! [SV64: $i,SV41: $i] :
( ( ( ( v1_xboole_0 @ SV41 )
| ( v1_xboole_0 @ SV64 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
| ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) )
| ~ ! [SY224: $i] :
( ~ ( m1_relset_1 @ SY224 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY224 )
| ~ ( v1_funct_2 @ SY224 @ SV41 @ SV64 )
| ( v1_funct_2 @ SY224 @ SV41 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(419,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
| ~ ( v1_funct_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
| ~ ( v1_funct_2 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(420,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_group_2 @ ( k5_group_4 @ SX0 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(421,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 )
| ~ ( v4_group_1 @ SX0 )
| ~ ( l1_group_1 @ SX0 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ( v1_group_1 @ ( k5_group_4 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(422,plain,
! [SV43: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK16_B @ SV43 ) @ ( k1_zfmisc_1 @ SV43 ) )
| ~ ~ ( v1_xboole_0 @ ( sK16_B @ SV43 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(423,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_1 @ ( u1_group_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_2 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(424,plain,
( ( ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( m2_relset_1 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(425,plain,
! [SV44: $i,SV1: $i] :
( ( ( r2_hidden @ SV1 @ SV44 )
= $false )
| ( ( ~ ( r2_hidden @ SV44 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(426,plain,
! [SV45: $i,SV3: $i] :
( ( ( r2_hidden @ SV3 @ SV45 )
= $false )
| ( ( m1_subset_1 @ SV3 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(427,plain,
! [SV4: $i,SV66: $i,SV46: $i] :
( ( ( ~ ( m1_subset_1 @ SV46 @ ( k1_zfmisc_1 @ SV66 ) )
| ~ ( r2_hidden @ SV4 @ SV46 ) )
= $true )
| ( ( m1_subset_1 @ SV4 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(428,plain,
! [SV5: $i,SV67: $i,SV47: $i] :
( ( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV67 ) )
| ~ ( r2_hidden @ SV5 @ SV47 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(429,plain,
! [SV7: $i] :
( ( ( ~ ( v1_group_1 @ SV7 ) )
= $true )
| ( ( SV7
= ( g1_group_1 @ ( u1_struct_0 @ SV7 ) @ ( u1_group_1 @ SV7 ) ) )
= $true )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(430,plain,
! [SV49: $i,SV9: $i,SV68: $i] :
( ( ( ~ ( m1_subset_1 @ SV68 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV9 @ SV49 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(431,plain,
! [SV10: $i] :
( ( ( l1_struct_0 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(432,plain,
! [SV69: $i,SV11: $i] :
( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV11 @ SV69 ) )
= $false )
| ( ( v1_xboole_0 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(433,plain,
! [SV12: $i,SV70: $i] :
( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV70 @ SV12 ) )
= $false )
| ( ( v1_xboole_0 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(434,plain,
! [SV50: $i,SV13: $i] :
( ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV50 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV13 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(435,plain,
! [SV51: $i,SV14: $i] :
( ( ( m1_subset_1 @ SV14 @ SV51 )
= $false )
| ( ( ( r2_hidden @ SV14 @ SV51 )
| ( v1_xboole_0 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(436,plain,
! [SV52: $i,SV16: $i] :
( ( ( r2_hidden @ SV16 @ SV52 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(437,plain,
! [SV53: $i,SV17: $i] :
( ( ( SV17 = SV53 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV17 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(438,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 )
| ~ ( v1_group_1 @ SV55 )
| ~ ( m1_group_2 @ SV55 @ SV20 )
| ~ ( v1_group_1 @ SV71 )
| ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(439,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 )
| ~ ( v1_group_1 @ SV56 )
| ~ ( m1_group_2 @ SV56 @ SV21 )
| ~ ( v1_group_1 @ SV75 )
| ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(440,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( m1_group_2 @ ( sK9_B @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(441,plain,
! [SV58: $i,SV25: $i,SV72: $i] :
( ( ( ~ ( v1_funct_1 @ SV72 )
| ~ ( v1_funct_2 @ SV72 @ SV25 @ SV58 )
| ~ ( m1_relset_1 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ! [SY225: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SY225 )
= ( k9_relat_1 @ SV72 @ SY225 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(442,plain,
! [SV59: $i,SV26: $i,SV73: $i] :
( ( ( ~ ( v1_funct_1 @ SV73 )
| ~ ( v1_funct_2 @ SV73 @ SV26 @ SV59 )
| ~ ( m1_relset_1 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ! [SY226: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SY226 ) @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(443,plain,
! [SV60: $i,SV28: $i,SV74: $i] :
( ( ( ~ ( m2_relset_1 @ SV74 @ SV28 @ SV60 ) )
= $true )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV28 @ SV60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(444,plain,
! [SV30: $i] :
( ( ( ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(445,plain,
! [SV31: $i] :
( ( ! [SY169: $i,SY170: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY169 @ SV31 )
| ~ ( m1_group_2 @ SY170 @ SV31 )
| ( m1_group_2 @ ( k8_group_4 @ SV31 @ SY169 @ SY170 ) @ SV31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(446,plain,
! [SV31: $i] :
( ( ! [SY171: $i,SY172: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SY171 @ SV31 )
| ~ ( m1_group_2 @ SY172 @ SV31 )
| ( v1_group_1 @ ( k8_group_4 @ SV31 @ SY171 @ SY172 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(447,plain,
! [SV32: $i] :
( ( ! [SY173: $i,SY174: $i] :
( ~ ( m1_relset_1 @ SY174 @ SV32 @ SY173 )
| ( m2_relset_1 @ SY174 @ SV32 @ SY173 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(448,plain,
! [SV32: $i] :
( ( ! [SY175: $i,SY176: $i] :
( ~ ( m2_relset_1 @ SY176 @ SV32 @ SY175 )
| ( m1_relset_1 @ SY176 @ SV32 @ SY175 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(449,plain,
! [SV33: $i] :
( ( ( l1_struct_0 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK11_B @ SV33 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV33 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(450,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
| ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(451,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK19_C @ SV61 @ SV35 ) @ SV35 @ SV61 )
| ~ ( v1_relat_1 @ ( sK19_C @ SV61 @ SV35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(452,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ( v1_funct_1 @ ( sK19_C @ SV61 @ SV35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(453,plain,
! [SV76: $i] :
( ( ! [SY227: $i] :
( ~ ( m1_subset_1 @ SV76 @ ( k1_zfmisc_1 @ SY227 ) )
| ( r1_tarski @ SV76 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(454,plain,
! [SV77: $i] :
( ( ! [SY228: $i] :
( ~ ( r1_tarski @ SV77 @ SY228 )
| ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ SY228 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(455,plain,
! [SV36: $i] :
( ( ! [SY181: $i,SY182: $i] :
( ~ ( m1_relset_1 @ SY182 @ SV36 @ SY181 )
| ~ ( v1_funct_1 @ SY182 )
| ~ ( v1_partfun1 @ SY182 @ SV36 @ SY181 )
| ( v1_funct_1 @ SY182 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(456,plain,
! [SV36: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ~ ( m1_relset_1 @ SY184 @ SV36 @ SY183 )
| ~ ( v1_funct_1 @ SY184 )
| ~ ( v1_partfun1 @ SY184 @ SV36 @ SY183 )
| ( v1_funct_2 @ SY184 @ SV36 @ SY183 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(457,plain,
( ( v3_struct_0 @ sK12_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(458,plain,
! [SV37: $i,SV62: $i] :
( ( ( ~ ( v1_funct_1 @ SV62 )
| ~ ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(459,plain,
! [SV63: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) )
| ~ ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) )
| ~ ! [SY220: $i] :
( ~ ( m1_relset_1 @ SY220 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY220 )
| ~ ( v1_funct_2 @ SY220 @ SV38 @ SV63 )
| ( v1_funct_2 @ SY220 @ SV38 @ SV63 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(460,plain,
! [SV39: $i] :
( ( ! [SY194: $i,SY195: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY194 )
| ~ ( m1_group_2 @ SY194 @ SV39 )
| ~ ( v1_group_1 @ SY195 )
| ~ ( m1_group_2 @ SY195 @ SV39 )
| ( SY194 != SY195 )
| ( r1_group_2 @ SV39 @ SY194 @ SY195 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(461,plain,
! [SV39: $i] :
( ( ! [SY196: $i,SY197: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SY196 )
| ~ ( m1_group_2 @ SY196 @ SV39 )
| ~ ( v1_group_1 @ SY197 )
| ~ ( m1_group_2 @ SY197 @ SV39 )
| ~ ( r1_group_2 @ SV39 @ SY196 @ SY197 )
| ( SY196 = SY197 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(462,plain,
! [SV40: $i] :
( ( m1_subset_1 @ ( sK14_B @ SV40 ) @ ( k1_zfmisc_1 @ SV40 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(463,plain,
! [SV40: $i] :
( ( v1_xboole_0 @ ( sK14_B @ SV40 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(464,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) )
| ~ ( l1_group_1 @ sK2_SY122 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(465,plain,
( ( ~ ( m1_group_2 @ sK3_SY127 @ sK1_A )
| ~ ~ ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(466,plain,
! [SV78: $i] :
( ( ! [SY229: $i] :
( ~ ( v1_funct_1 @ SY229 )
| ~ ( v1_funct_2 @ SY229 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
| ~ ( m1_relset_1 @ SY229 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
| ( l1_group_1 @ ( g1_group_1 @ SV78 @ SY229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(467,plain,
! [SV79: $i] :
( ( ! [SY230: $i] :
( ~ ( v1_funct_1 @ SY230 )
| ~ ( v1_funct_2 @ SY230 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
| ~ ( m1_relset_1 @ SY230 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
| ( v1_group_1 @ ( g1_group_1 @ SV79 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(468,plain,
! [SV64: $i,SV41: $i] :
( ( ( v1_xboole_0 @ SV41 )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
| ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) )
| ~ ! [SY224: $i] :
( ~ ( m1_relset_1 @ SY224 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY224 )
| ~ ( v1_funct_2 @ SY224 @ SV41 @ SV64 )
| ( v1_funct_2 @ SY224 @ SV41 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(469,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
| ~ ( v1_funct_1 @ ( sK20_C @ SV65 @ SV42 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(470,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( v1_funct_2 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(471,plain,
! [SV80: $i] :
( ( ! [SY231: $i] :
( ( v3_struct_0 @ SV80 )
| ~ ( v3_group_1 @ SV80 )
| ~ ( v4_group_1 @ SV80 )
| ~ ( l1_group_1 @ SV80 )
| ~ ( m1_subset_1 @ SY231 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) )
| ( m1_group_2 @ ( k5_group_4 @ SV80 @ SY231 ) @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(472,plain,
! [SV81: $i] :
( ( ! [SY232: $i] :
( ( v3_struct_0 @ SV81 )
| ~ ( v3_group_1 @ SV81 )
| ~ ( v4_group_1 @ SV81 )
| ~ ( l1_group_1 @ SV81 )
| ~ ( m1_subset_1 @ SY232 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) )
| ( v1_group_1 @ ( k5_group_4 @ SV81 @ SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(473,plain,
! [SV43: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK16_B @ SV43 ) @ ( k1_zfmisc_1 @ SV43 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(474,plain,
! [SV43: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK16_B @ SV43 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(475,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_1 @ ( u1_group_1 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_2 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(476,plain,
! [SV82: $i] :
( ( ~ ( l1_group_1 @ SV82 )
| ( m2_relset_1 @ ( u1_group_1 @ SV82 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV82 ) @ ( u1_struct_0 @ SV82 ) ) @ ( u1_struct_0 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(477,plain,
! [SV1: $i,SV44: $i] :
( ( ( r2_hidden @ SV44 @ SV1 )
= $false )
| ( ( r2_hidden @ SV1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(478,plain,
! [SV4: $i,SV66: $i,SV46: $i] :
( ( ( ~ ( m1_subset_1 @ SV46 @ ( k1_zfmisc_1 @ SV66 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV4 @ SV46 ) )
= $true )
| ( ( m1_subset_1 @ SV4 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(479,plain,
! [SV5: $i,SV67: $i,SV47: $i] :
( ( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV67 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV5 @ SV47 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(480,plain,
! [SV7: $i] :
( ( ( v1_group_1 @ SV7 )
= $false )
| ( ( SV7
= ( g1_group_1 @ ( u1_struct_0 @ SV7 ) @ ( u1_group_1 @ SV7 ) ) )
= $true )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(481,plain,
! [SV49: $i,SV9: $i,SV68: $i] :
( ( ( m1_subset_1 @ SV68 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV9 @ SV49 ) ) )
= $false )
| ( ( v1_relat_1 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(482,plain,
! [SV10: $i] :
( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( l1_struct_0 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(483,plain,
! [SV50: $i,SV13: $i] :
( ( ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV13 @ SV50 ) )
= $false )
| ( ( v1_xboole_0 @ SV50 )
= $true )
| ( ( v1_xboole_0 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(484,plain,
! [SV51: $i,SV14: $i] :
( ( ( r2_hidden @ SV14 @ SV51 )
= $true )
| ( ( v1_xboole_0 @ SV51 )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(485,plain,
! [SV16: $i,SV52: $i] :
( ( ( v1_xboole_0 @ SV52 )
= $false )
| ( ( r2_hidden @ SV16 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(486,plain,
! [SV53: $i,SV17: $i] :
( ( ( v1_xboole_0 @ SV17 )
= $false )
| ( ( SV17 = SV53 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(487,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 )
| ~ ( v1_group_1 @ SV55 )
| ~ ( m1_group_2 @ SV55 @ SV20 )
| ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(488,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 )
| ~ ( v1_group_1 @ SV56 )
| ~ ( m1_group_2 @ SV56 @ SV21 )
| ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(489,plain,
! [SV22: $i] :
( ( ( v3_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( m1_group_2 @ ( sK9_B @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(490,plain,
! [SV58: $i,SV25: $i,SV72: $i] :
( ( ( ~ ( v1_funct_1 @ SV72 )
| ~ ( v1_funct_2 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ! [SY225: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SY225 )
= ( k9_relat_1 @ SV72 @ SY225 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(491,plain,
! [SV59: $i,SV26: $i,SV73: $i] :
( ( ( ~ ( v1_funct_1 @ SV73 )
| ~ ( v1_funct_2 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ! [SY226: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SY226 ) @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(492,plain,
! [SV60: $i,SV28: $i,SV74: $i] :
( ( ( m2_relset_1 @ SV74 @ SV28 @ SV60 )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV28 @ SV60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(493,plain,
! [SV30: $i] :
( ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v3_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(494,plain,
! [SV83: $i,SV31: $i] :
( ( ! [SY233: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV83 @ SV31 )
| ~ ( m1_group_2 @ SY233 @ SV31 )
| ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SY233 ) @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(495,plain,
! [SV84: $i,SV31: $i] :
( ( ! [SY234: $i] :
( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV84 @ SV31 )
| ~ ( m1_group_2 @ SY234 @ SV31 )
| ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(496,plain,
! [SV85: $i,SV32: $i] :
( ( ! [SY235: $i] :
( ~ ( m1_relset_1 @ SY235 @ SV32 @ SV85 )
| ( m2_relset_1 @ SY235 @ SV32 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(497,plain,
! [SV86: $i,SV32: $i] :
( ( ! [SY236: $i] :
( ~ ( m2_relset_1 @ SY236 @ SV32 @ SV86 )
| ( m1_relset_1 @ SY236 @ SV32 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(498,plain,
! [SV33: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK11_B @ SV33 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV33 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV33 ) ) )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( l1_struct_0 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(499,plain,
! [SV34: $i] :
( ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
| ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(500,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK19_C @ SV61 @ SV35 ) @ SV35 @ SV61 )
| ~ ( v1_relat_1 @ ( sK19_C @ SV61 @ SV35 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(501,plain,
! [SV35: $i,SV61: $i] :
( ( v1_funct_1 @ ( sK19_C @ SV61 @ SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(502,plain,
! [SV87: $i,SV76: $i] :
( ( ~ ( m1_subset_1 @ SV76 @ ( k1_zfmisc_1 @ SV87 ) )
| ( r1_tarski @ SV76 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(503,plain,
! [SV88: $i,SV77: $i] :
( ( ~ ( r1_tarski @ SV77 @ SV88 )
| ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(504,plain,
! [SV89: $i,SV36: $i] :
( ( ! [SY237: $i] :
( ~ ( m1_relset_1 @ SY237 @ SV36 @ SV89 )
| ~ ( v1_funct_1 @ SY237 )
| ~ ( v1_partfun1 @ SY237 @ SV36 @ SV89 )
| ( v1_funct_1 @ SY237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(505,plain,
! [SV90: $i,SV36: $i] :
( ( ! [SY238: $i] :
( ~ ( m1_relset_1 @ SY238 @ SV36 @ SV90 )
| ~ ( v1_funct_1 @ SY238 )
| ~ ( v1_partfun1 @ SY238 @ SV36 @ SV90 )
| ( v1_funct_2 @ SY238 @ SV36 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(506,plain,
! [SV37: $i,SV62: $i] :
( ( ( ~ ( v1_funct_1 @ SV62 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(507,plain,
! [SV63: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) )
| ~ ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(508,plain,
! [SV63: $i,SV38: $i] :
( ( ( ~ ! [SY220: $i] :
( ~ ( m1_relset_1 @ SY220 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY220 )
| ~ ( v1_funct_2 @ SY220 @ SV38 @ SV63 )
| ( v1_funct_2 @ SY220 @ SV38 @ SV63 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(509,plain,
! [SV91: $i,SV39: $i] :
( ( ! [SY239: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV91 )
| ~ ( m1_group_2 @ SV91 @ SV39 )
| ~ ( v1_group_1 @ SY239 )
| ~ ( m1_group_2 @ SY239 @ SV39 )
| ( SV91 != SY239 )
| ( r1_group_2 @ SV39 @ SV91 @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(510,plain,
! [SV92: $i,SV39: $i] :
( ( ! [SY240: $i] :
( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV92 )
| ~ ( m1_group_2 @ SV92 @ SV39 )
| ~ ( v1_group_1 @ SY240 )
| ~ ( m1_group_2 @ SY240 @ SV39 )
| ~ ( r1_group_2 @ SV39 @ SV92 @ SY240 )
| ( SV92 = SY240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(511,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(512,plain,
( ( ~ ( l1_group_1 @ sK2_SY122 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(513,plain,
( ( ~ ( m1_group_2 @ sK3_SY127 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(514,plain,
( ( ~ ~ ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(515,plain,
! [SV78: $i,SV93: $i] :
( ( ~ ( v1_funct_1 @ SV93 )
| ~ ( v1_funct_2 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
| ~ ( m1_relset_1 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
| ( l1_group_1 @ ( g1_group_1 @ SV78 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(516,plain,
! [SV79: $i,SV94: $i] :
( ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
| ~ ( m1_relset_1 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
| ( v1_group_1 @ ( g1_group_1 @ SV79 @ SV94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(517,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
| ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) )
| ~ ! [SY224: $i] :
( ~ ( m1_relset_1 @ SY224 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY224 )
| ~ ( v1_funct_2 @ SY224 @ SV41 @ SV64 )
| ( v1_funct_2 @ SY224 @ SV41 @ SV64 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(518,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
| ~ ( v1_funct_1 @ ( sK20_C @ SV65 @ SV42 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(519,plain,
! [SV42: $i,SV65: $i] :
( ( v1_funct_2 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(520,plain,
! [SV95: $i,SV80: $i] :
( ( ( v3_struct_0 @ SV80 )
| ~ ( v3_group_1 @ SV80 )
| ~ ( v4_group_1 @ SV80 )
| ~ ( l1_group_1 @ SV80 )
| ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) )
| ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(521,plain,
! [SV96: $i,SV81: $i] :
( ( ( v3_struct_0 @ SV81 )
| ~ ( v3_group_1 @ SV81 )
| ~ ( v4_group_1 @ SV81 )
| ~ ( l1_group_1 @ SV81 )
| ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) )
| ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(522,plain,
! [SV43: $i] :
( ( ( m1_subset_1 @ ( sK16_B @ SV43 ) @ ( k1_zfmisc_1 @ SV43 ) )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(523,plain,
! [SV43: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK16_B @ SV43 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(524,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_1 @ ( u1_group_1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(525,plain,
( ( ~ ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_2 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(526,plain,
! [SV82: $i] :
( ( ( ~ ( l1_group_1 @ SV82 ) )
= $true )
| ( ( m2_relset_1 @ ( u1_group_1 @ SV82 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV82 ) @ ( u1_struct_0 @ SV82 ) ) @ ( u1_struct_0 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(527,plain,
! [SV4: $i,SV66: $i,SV46: $i] :
( ( ( m1_subset_1 @ SV46 @ ( k1_zfmisc_1 @ SV66 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV4 @ SV46 ) )
= $true )
| ( ( m1_subset_1 @ SV4 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(528,plain,
! [SV5: $i,SV67: $i,SV47: $i] :
( ( ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV67 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV5 @ SV47 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(529,plain,
! [SV17: $i,SV53: $i] :
( ( ( v1_xboole_0 @ SV53 )
= $false )
| ( ( SV17 = SV53 )
= $true )
| ( ( v1_xboole_0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(530,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 )
| ~ ( v1_group_1 @ SV55 )
| ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(531,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 )
| ~ ( v1_group_1 @ SV56 )
| ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(532,plain,
! [SV22: $i] :
( ( ( l1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( m1_group_2 @ ( sK9_B @ SV22 ) @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(533,plain,
! [SV58: $i,SV25: $i,SV72: $i] :
( ( ( ~ ( v1_funct_1 @ SV72 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ! [SY225: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SY225 )
= ( k9_relat_1 @ SV72 @ SY225 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(534,plain,
! [SV59: $i,SV26: $i,SV73: $i] :
( ( ( ~ ( v1_funct_1 @ SV73 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ! [SY226: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SY226 ) @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(535,plain,
! [SV30: $i] :
( ( ( v3_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(536,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV83 @ SV31 )
| ~ ( m1_group_2 @ SV97 @ SV31 )
| ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(537,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV84 @ SV31 )
| ~ ( m1_group_2 @ SV98 @ SV31 )
| ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(538,plain,
! [SV85: $i,SV32: $i,SV99: $i] :
( ( ~ ( m1_relset_1 @ SV99 @ SV32 @ SV85 )
| ( m2_relset_1 @ SV99 @ SV32 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(539,plain,
! [SV86: $i,SV32: $i,SV100: $i] :
( ( ~ ( m2_relset_1 @ SV100 @ SV32 @ SV86 )
| ( m1_relset_1 @ SV100 @ SV32 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(540,plain,
! [SV33: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK11_B @ SV33 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV33 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( l1_struct_0 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(541,plain,
! [SV33: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK11_B @ SV33 ) ) )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( l1_struct_0 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(542,plain,
! [SV34: $i] :
( ( ( l1_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
| ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(543,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ( m1_relset_1 @ ( sK19_C @ SV61 @ SV35 ) @ SV35 @ SV61 )
| ~ ( v1_relat_1 @ ( sK19_C @ SV61 @ SV35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(544,plain,
! [SV87: $i,SV76: $i] :
( ( ( ~ ( m1_subset_1 @ SV76 @ ( k1_zfmisc_1 @ SV87 ) ) )
= $true )
| ( ( r1_tarski @ SV76 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(545,plain,
! [SV88: $i,SV77: $i] :
( ( ( ~ ( r1_tarski @ SV77 @ SV88 ) )
= $true )
| ( ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(546,plain,
! [SV89: $i,SV36: $i,SV101: $i] :
( ( ~ ( m1_relset_1 @ SV101 @ SV36 @ SV89 )
| ~ ( v1_funct_1 @ SV101 )
| ~ ( v1_partfun1 @ SV101 @ SV36 @ SV89 )
| ( v1_funct_1 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(547,plain,
! [SV90: $i,SV36: $i,SV102: $i] :
( ( ~ ( m1_relset_1 @ SV102 @ SV36 @ SV90 )
| ~ ( v1_funct_1 @ SV102 )
| ~ ( v1_partfun1 @ SV102 @ SV36 @ SV90 )
| ( v1_funct_2 @ SV102 @ SV36 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(548,plain,
! [SV37: $i,SV62: $i] :
( ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(549,plain,
! [SV63: $i,SV38: $i] :
( ( ( ~ ( ~ ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) )
| ~ ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(550,plain,
! [SV63: $i,SV38: $i] :
( ( ( ! [SY220: $i] :
( ~ ( m1_relset_1 @ SY220 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY220 )
| ~ ( v1_funct_2 @ SY220 @ SV38 @ SV63 )
| ( v1_funct_2 @ SY220 @ SV38 @ SV63 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(551,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV91 )
| ~ ( m1_group_2 @ SV91 @ SV39 )
| ~ ( v1_group_1 @ SV103 )
| ~ ( m1_group_2 @ SV103 @ SV39 )
| ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(552,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV92 )
| ~ ( m1_group_2 @ SV92 @ SV39 )
| ~ ( v1_group_1 @ SV104 )
| ~ ( m1_group_2 @ SV104 @ SV39 )
| ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(553,plain,
( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(554,plain,
( ( l1_group_1 @ sK2_SY122 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(555,plain,
( ( m1_group_2 @ sK3_SY127 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(556,plain,
( ( ~ ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(557,plain,
! [SV78: $i,SV93: $i] :
( ( ( ~ ( v1_funct_1 @ SV93 )
| ~ ( v1_funct_2 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
| ~ ( m1_relset_1 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( l1_group_1 @ ( g1_group_1 @ SV78 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(558,plain,
! [SV79: $i,SV94: $i] :
( ( ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
| ~ ( m1_relset_1 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( v1_group_1 @ ( g1_group_1 @ SV79 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(559,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
| ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(560,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ! [SY224: $i] :
( ~ ( m1_relset_1 @ SY224 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY224 )
| ~ ( v1_funct_2 @ SY224 @ SV41 @ SV64 )
| ( v1_funct_2 @ SY224 @ SV41 @ SV64 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(561,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
| ~ ( v1_funct_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(562,plain,
! [SV95: $i,SV80: $i] :
( ( ( ( v3_struct_0 @ SV80 )
| ~ ( v3_group_1 @ SV80 )
| ~ ( v4_group_1 @ SV80 )
| ~ ( l1_group_1 @ SV80 )
| ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(563,plain,
! [SV96: $i,SV81: $i] :
( ( ( ( v3_struct_0 @ SV81 )
| ~ ( v3_group_1 @ SV81 )
| ~ ( v4_group_1 @ SV81 )
| ~ ( l1_group_1 @ SV81 )
| ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(564,plain,
! [SV43: $i] :
( ( ( v1_xboole_0 @ ( sK16_B @ SV43 ) )
= $false )
| ( ( v1_xboole_0 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(565,plain,
( ( ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_1 @ ( u1_group_1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(566,plain,
( ( ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( v1_funct_2 @ ( u1_group_1 @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(567,plain,
! [SV82: $i] :
( ( ( l1_group_1 @ SV82 )
= $false )
| ( ( m2_relset_1 @ ( u1_group_1 @ SV82 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV82 ) @ ( u1_struct_0 @ SV82 ) ) @ ( u1_struct_0 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(568,plain,
! [SV66: $i,SV46: $i,SV4: $i] :
( ( ( r2_hidden @ SV4 @ SV46 )
= $false )
| ( ( m1_subset_1 @ SV46 @ ( k1_zfmisc_1 @ SV66 ) )
= $false )
| ( ( m1_subset_1 @ SV4 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(569,plain,
! [SV67: $i,SV47: $i,SV5: $i] :
( ( ( r2_hidden @ SV5 @ SV47 )
= $false )
| ( ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV67 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(570,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 )
| ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(571,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 )
| ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(572,plain,
! [SV58: $i,SV25: $i,SV72: $i] :
( ( ( v1_funct_1 @ SV72 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ! [SY225: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SY225 )
= ( k9_relat_1 @ SV72 @ SY225 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(573,plain,
! [SV59: $i,SV26: $i,SV73: $i] :
( ( ( v1_funct_1 @ SV73 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ! [SY226: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SY226 ) @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(574,plain,
! [SV30: $i] :
( ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(575,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV83 @ SV31 )
| ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(576,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV84 @ SV31 )
| ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(577,plain,
! [SV85: $i,SV32: $i,SV99: $i] :
( ( ( ~ ( m1_relset_1 @ SV99 @ SV32 @ SV85 ) )
= $true )
| ( ( m2_relset_1 @ SV99 @ SV32 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(578,plain,
! [SV86: $i,SV32: $i,SV100: $i] :
( ( ( ~ ( m2_relset_1 @ SV100 @ SV32 @ SV86 ) )
= $true )
| ( ( m1_relset_1 @ SV100 @ SV32 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(579,plain,
! [SV33: $i] :
( ( ( m1_subset_1 @ ( sK11_B @ SV33 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV33 ) ) )
= $true )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( l1_struct_0 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(580,plain,
! [SV33: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK11_B @ SV33 ) ) )
= $true )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( l1_struct_0 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(581,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
| ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(582,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ( m1_relset_1 @ ( sK19_C @ SV61 @ SV35 ) @ SV35 @ SV61 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(583,plain,
! [SV35: $i,SV61: $i] :
( ( ~ ( v1_relat_1 @ ( sK19_C @ SV61 @ SV35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(584,plain,
! [SV87: $i,SV76: $i] :
( ( ( m1_subset_1 @ SV76 @ ( k1_zfmisc_1 @ SV87 ) )
= $false )
| ( ( r1_tarski @ SV76 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(585,plain,
! [SV88: $i,SV77: $i] :
( ( ( r1_tarski @ SV77 @ SV88 )
= $false )
| ( ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(586,plain,
! [SV89: $i,SV36: $i,SV101: $i] :
( ( ( ~ ( m1_relset_1 @ SV101 @ SV36 @ SV89 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV101 )
| ~ ( v1_partfun1 @ SV101 @ SV36 @ SV89 )
| ( v1_funct_1 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(587,plain,
! [SV90: $i,SV36: $i,SV102: $i] :
( ( ( ~ ( m1_relset_1 @ SV102 @ SV36 @ SV90 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV102 )
| ~ ( v1_partfun1 @ SV102 @ SV36 @ SV90 )
| ( v1_funct_2 @ SV102 @ SV36 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(588,plain,
! [SV37: $i,SV62: $i] :
( ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(589,plain,
! [SV63: $i,SV38: $i] :
( ( ( ~ ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) )
| ~ ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(590,plain,
! [SV63: $i,SV38: $i,SV105: $i] :
( ( ( ~ ( m1_relset_1 @ SV105 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SV105 )
| ~ ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
| ( v1_funct_2 @ SV105 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(591,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV91 )
| ~ ( m1_group_2 @ SV91 @ SV39 )
| ~ ( v1_group_1 @ SV103 )
| ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(592,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV92 )
| ~ ( m1_group_2 @ SV92 @ SV39 )
| ~ ( v1_group_1 @ SV104 )
| ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(593,plain,
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
| ~ ( v4_group_1 @ sK2_SY122 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(594,plain,
( ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(595,plain,
! [SV78: $i,SV93: $i] :
( ( ( ~ ( v1_funct_1 @ SV93 )
| ~ ( v1_funct_2 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( l1_group_1 @ ( g1_group_1 @ SV78 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(596,plain,
! [SV79: $i,SV94: $i] :
( ( ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( v1_group_1 @ ( g1_group_1 @ SV79 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(597,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
| ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(598,plain,
! [SV64: $i,SV41: $i] :
( ( ( ! [SY224: $i] :
( ~ ( m1_relset_1 @ SY224 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY224 )
| ~ ( v1_funct_2 @ SY224 @ SV41 @ SV64 )
| ( v1_funct_2 @ SY224 @ SV41 @ SV64 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(599,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(600,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( v1_funct_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(601,plain,
! [SV95: $i,SV80: $i] :
( ( ( ( v3_struct_0 @ SV80 )
| ~ ( v3_group_1 @ SV80 )
| ~ ( v4_group_1 @ SV80 )
| ~ ( l1_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(602,plain,
! [SV96: $i,SV81: $i] :
( ( ( ( v3_struct_0 @ SV81 )
| ~ ( v3_group_1 @ SV81 )
| ~ ( v4_group_1 @ SV81 )
| ~ ( l1_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(603,plain,
! [SV106: $i] :
( ( ~ ( l1_group_1 @ SV106 )
| ( v1_funct_1 @ ( u1_group_1 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(604,plain,
! [SV107: $i] :
( ( ~ ( l1_group_1 @ SV107 )
| ( v1_funct_2 @ ( u1_group_1 @ SV107 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV107 ) @ ( u1_struct_0 @ SV107 ) ) @ ( u1_struct_0 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(605,plain,
! [SV5: $i,SV47: $i,SV67: $i] :
( ( ( v1_xboole_0 @ SV67 )
= $false )
| ( ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV67 ) )
= $false )
| ( ( r2_hidden @ SV5 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(606,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 )
| ~ ( l1_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(607,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 )
| ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(608,plain,
! [SV58: $i,SV25: $i,SV72: $i] :
( ( ( v1_funct_2 @ SV72 @ SV25 @ SV58 )
= $false )
| ( ( v1_funct_1 @ SV72 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV72 @ SV25 @ SV58 ) )
= $true )
| ( ( ! [SY225: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SY225 )
= ( k9_relat_1 @ SV72 @ SY225 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(609,plain,
! [SV59: $i,SV26: $i,SV73: $i] :
( ( ( v1_funct_2 @ SV73 @ SV26 @ SV59 )
= $false )
| ( ( v1_funct_1 @ SV73 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV73 @ SV26 @ SV59 ) )
= $true )
| ( ( ! [SY226: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SY226 ) @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(610,plain,
! [SV30: $i] :
( ( ( l1_group_1 @ SV30 )
= $false )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( ! [SY166: $i] :
( ~ ( m1_group_2 @ SY166 @ SV30 )
| ! [SY167: $i] :
( ~ ( m1_group_2 @ SY167 @ SV30 )
| ! [SY168: $i] :
( ~ ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY168
!= ( k2_xboole_0 @ ( u1_struct_0 @ SY166 ) @ ( u1_struct_0 @ SY167 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SY166 @ SY167 ) @ ( k5_group_4 @ SV30 @ SY168 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(611,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(612,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 )
| ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(613,plain,
! [SV85: $i,SV32: $i,SV99: $i] :
( ( ( m1_relset_1 @ SV99 @ SV32 @ SV85 )
= $false )
| ( ( m2_relset_1 @ SV99 @ SV32 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(614,plain,
! [SV86: $i,SV32: $i,SV100: $i] :
( ( ( m2_relset_1 @ SV100 @ SV32 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV100 @ SV32 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(615,plain,
! [SV33: $i] :
( ( ( v1_xboole_0 @ ( sK11_B @ SV33 ) )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( l1_struct_0 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(616,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) ) )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(617,plain,
! [SV34: $i] :
( ( ( ~ ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(618,plain,
! [SV35: $i,SV61: $i] :
( ( m1_relset_1 @ ( sK19_C @ SV61 @ SV35 ) @ SV35 @ SV61 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(619,plain,
! [SV35: $i,SV61: $i] :
( ( v1_relat_1 @ ( sK19_C @ SV61 @ SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(620,plain,
! [SV89: $i,SV36: $i,SV101: $i] :
( ( ( m1_relset_1 @ SV101 @ SV36 @ SV89 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV101 )
| ~ ( v1_partfun1 @ SV101 @ SV36 @ SV89 )
| ( v1_funct_1 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(621,plain,
! [SV90: $i,SV36: $i,SV102: $i] :
( ( ( m1_relset_1 @ SV102 @ SV36 @ SV90 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV102 )
| ~ ( v1_partfun1 @ SV102 @ SV36 @ SV90 )
| ( v1_funct_2 @ SV102 @ SV36 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(622,plain,
! [SV37: $i,SV62: $i] :
( ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( ~ ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(623,plain,
! [SV63: $i,SV38: $i] :
( ( ( ~ ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(624,plain,
! [SV63: $i,SV38: $i] :
( ( ( ~ ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(625,plain,
! [SV63: $i,SV38: $i,SV105: $i] :
( ( ( ~ ( m1_relset_1 @ SV105 @ SV38 @ SV63 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV105 )
| ~ ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
| ( v1_funct_2 @ SV105 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(626,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV91 )
| ~ ( m1_group_2 @ SV91 @ SV39 )
| ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(627,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV92 )
| ~ ( m1_group_2 @ SV92 @ SV39 )
| ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(628,plain,
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(629,plain,
( ( ~ ( v4_group_1 @ sK2_SY122 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(630,plain,
( ( ~ ( m1_group_2 @ sK4_SY131 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(631,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[594]) ).
thf(632,plain,
! [SV78: $i,SV93: $i] :
( ( ( ~ ( v1_funct_1 @ SV93 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( l1_group_1 @ ( g1_group_1 @ SV78 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(633,plain,
! [SV79: $i,SV94: $i] :
( ( ( ~ ( v1_funct_1 @ SV94 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( v1_group_1 @ ( g1_group_1 @ SV79 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(634,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
| ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(635,plain,
! [SV64: $i,SV41: $i,SV108: $i] :
( ( ( ~ ( m1_relset_1 @ SV108 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SV108 )
| ~ ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
| ( v1_funct_2 @ SV108 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(636,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(637,plain,
! [SV42: $i,SV65: $i] :
( ( v1_funct_1 @ ( sK20_C @ SV65 @ SV42 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(638,plain,
! [SV95: $i,SV80: $i] :
( ( ( ( v3_struct_0 @ SV80 )
| ~ ( v3_group_1 @ SV80 )
| ~ ( v4_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(639,plain,
! [SV96: $i,SV81: $i] :
( ( ( ( v3_struct_0 @ SV81 )
| ~ ( v3_group_1 @ SV81 )
| ~ ( v4_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(640,plain,
! [SV106: $i] :
( ( ( ~ ( l1_group_1 @ SV106 ) )
= $true )
| ( ( v1_funct_1 @ ( u1_group_1 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(641,plain,
! [SV107: $i] :
( ( ( ~ ( l1_group_1 @ SV107 ) )
= $true )
| ( ( v1_funct_2 @ ( u1_group_1 @ SV107 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV107 ) @ ( u1_struct_0 @ SV107 ) ) @ ( u1_struct_0 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(642,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 )
| ~ ( v4_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(643,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 )
| ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(644,plain,
! [SV58: $i,SV25: $i,SV72: $i] :
( ( ( m1_relset_1 @ SV72 @ SV25 @ SV58 )
= $false )
| ( ( v1_funct_1 @ SV72 )
= $false )
| ( ( v1_funct_2 @ SV72 @ SV25 @ SV58 )
= $false )
| ( ( ! [SY225: $i] :
( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SY225 )
= ( k9_relat_1 @ SV72 @ SY225 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(645,plain,
! [SV59: $i,SV26: $i,SV73: $i] :
( ( ( m1_relset_1 @ SV73 @ SV26 @ SV59 )
= $false )
| ( ( v1_funct_1 @ SV73 )
= $false )
| ( ( v1_funct_2 @ SV73 @ SV26 @ SV59 )
= $false )
| ( ( ! [SY226: $i] : ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SY226 ) @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(646,plain,
! [SV30: $i,SV109: $i] :
( ( ( ~ ( m1_group_2 @ SV109 @ SV30 )
| ! [SY241: $i] :
( ~ ( m1_group_2 @ SY241 @ SV30 )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY242
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SY241 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SY241 ) @ ( k5_group_4 @ SV30 @ SY242 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(647,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(648,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 )
| ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(649,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(650,plain,
! [SV34: $i] :
( ( ( ! [SY179: $i] :
( ~ ( m1_group_2 @ SY179 @ SV34 )
| ( l1_group_1 @ SY179 ) ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(651,plain,
! [SV89: $i,SV36: $i,SV101: $i] :
( ( ( ~ ( v1_funct_1 @ SV101 )
| ~ ( v1_partfun1 @ SV101 @ SV36 @ SV89 ) )
= $true )
| ( ( v1_funct_1 @ SV101 )
= $true )
| ( ( m1_relset_1 @ SV101 @ SV36 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(652,plain,
! [SV90: $i,SV36: $i,SV102: $i] :
( ( ( ~ ( v1_funct_1 @ SV102 )
| ~ ( v1_partfun1 @ SV102 @ SV36 @ SV90 ) )
= $true )
| ( ( v1_funct_2 @ SV102 @ SV36 @ SV90 )
= $true )
| ( ( m1_relset_1 @ SV102 @ SV36 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(653,plain,
! [SV62: $i,SV37: $i] :
( ( ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) )
| ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) )
= $false )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(654,plain,
! [SV63: $i,SV38: $i] :
( ( ( ! [SY218: $i] :
( ~ ( m1_relset_1 @ SY218 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ SV38 @ SV63 )
| ( v1_funct_1 @ SY218 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(655,plain,
! [SV63: $i,SV38: $i] :
( ( ( ! [SY219: $i] :
( ~ ( m1_relset_1 @ SY219 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SY219 )
| ~ ( v1_funct_2 @ SY219 @ SV38 @ SV63 )
| ( v1_partfun1 @ SY219 @ SV38 @ SV63 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(656,plain,
! [SV63: $i,SV38: $i,SV105: $i] :
( ( ( m1_relset_1 @ SV105 @ SV38 @ SV63 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV105 )
| ~ ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
| ( v1_funct_2 @ SV105 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(657,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV91 )
| ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(658,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV92 )
| ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(659,plain,
( ( ~ ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(660,plain,
( ( v4_group_1 @ sK2_SY122 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(661,plain,
( ( m1_group_2 @ sK4_SY131 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(662,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(663,plain,
! [SV78: $i,SV93: $i] :
( ( ( v1_funct_1 @ SV93 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( l1_group_1 @ ( g1_group_1 @ SV78 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(664,plain,
! [SV79: $i,SV94: $i] :
( ( ( v1_funct_1 @ SV94 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( v1_group_1 @ ( g1_group_1 @ SV79 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(665,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(666,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(667,plain,
! [SV64: $i,SV41: $i,SV108: $i] :
( ( ( ~ ( m1_relset_1 @ SV108 @ SV41 @ SV64 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV108 )
| ~ ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
| ( v1_funct_2 @ SV108 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(668,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
| ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(669,plain,
! [SV95: $i,SV80: $i] :
( ( ( ( v3_struct_0 @ SV80 )
| ~ ( v3_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(670,plain,
! [SV96: $i,SV81: $i] :
( ( ( ( v3_struct_0 @ SV81 )
| ~ ( v3_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(671,plain,
! [SV106: $i] :
( ( ( l1_group_1 @ SV106 )
= $false )
| ( ( v1_funct_1 @ ( u1_group_1 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(672,plain,
! [SV107: $i] :
( ( ( l1_group_1 @ SV107 )
= $false )
| ( ( v1_funct_2 @ ( u1_group_1 @ SV107 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV107 ) @ ( u1_struct_0 @ SV107 ) ) @ ( u1_struct_0 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(673,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ( v3_struct_0 @ SV20 )
| ~ ( v3_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(674,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(675,plain,
! [SV110: $i,SV72: $i,SV58: $i,SV25: $i] :
( ( ( ( k2_funct_2 @ SV25 @ SV58 @ SV72 @ SV110 )
= ( k9_relat_1 @ SV72 @ SV110 ) )
= $true )
| ( ( v1_funct_2 @ SV72 @ SV25 @ SV58 )
= $false )
| ( ( v1_funct_1 @ SV72 )
= $false )
| ( ( m1_relset_1 @ SV72 @ SV25 @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(676,plain,
! [SV111: $i,SV73: $i,SV59: $i,SV26: $i] :
( ( ( m1_subset_1 @ ( k2_funct_2 @ SV26 @ SV59 @ SV73 @ SV111 ) @ ( k1_zfmisc_1 @ SV59 ) )
= $true )
| ( ( v1_funct_2 @ SV73 @ SV26 @ SV59 )
= $false )
| ( ( v1_funct_1 @ SV73 )
= $false )
| ( ( m1_relset_1 @ SV73 @ SV26 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(677,plain,
! [SV30: $i,SV109: $i] :
( ( ( ~ ( m1_group_2 @ SV109 @ SV30 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_group_2 @ SY241 @ SV30 )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY242
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SY241 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SY241 ) @ ( k5_group_4 @ SV30 @ SY242 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(678,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(679,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 )
| ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(680,plain,
! [SV34: $i] :
( ( ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) )
| ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(681,plain,
! [SV34: $i,SV112: $i] :
( ( ( ~ ( m1_group_2 @ SV112 @ SV34 )
| ( l1_group_1 @ SV112 ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(682,plain,
! [SV89: $i,SV36: $i,SV101: $i] :
( ( ( ~ ( v1_funct_1 @ SV101 ) )
= $true )
| ( ( ~ ( v1_partfun1 @ SV101 @ SV36 @ SV89 ) )
= $true )
| ( ( v1_funct_1 @ SV101 )
= $true )
| ( ( m1_relset_1 @ SV101 @ SV36 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(683,plain,
! [SV90: $i,SV36: $i,SV102: $i] :
( ( ( ~ ( v1_funct_1 @ SV102 ) )
= $true )
| ( ( ~ ( v1_partfun1 @ SV102 @ SV36 @ SV90 ) )
= $true )
| ( ( v1_funct_2 @ SV102 @ SV36 @ SV90 )
= $true )
| ( ( m1_relset_1 @ SV102 @ SV36 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(684,plain,
! [SV62: $i,SV37: $i] :
( ( ( ~ ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) ) )
= $false )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(685,plain,
! [SV62: $i,SV37: $i] :
( ( ( ~ ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) )
= $false )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(686,plain,
! [SV63: $i,SV38: $i,SV113: $i] :
( ( ( ~ ( m1_relset_1 @ SV113 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SV113 )
| ~ ( v1_funct_2 @ SV113 @ SV38 @ SV63 )
| ( v1_funct_1 @ SV113 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(687,plain,
! [SV63: $i,SV38: $i,SV114: $i] :
( ( ( ~ ( m1_relset_1 @ SV114 @ SV38 @ SV63 )
| ~ ( v1_funct_1 @ SV114 )
| ~ ( v1_funct_2 @ SV114 @ SV38 @ SV63 )
| ( v1_partfun1 @ SV114 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(688,plain,
! [SV63: $i,SV38: $i,SV105: $i] :
( ( ( ~ ( v1_funct_1 @ SV105 )
| ~ ( v1_funct_2 @ SV105 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV105 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(689,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(690,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 )
| ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(691,plain,
( ( ~ ~ ( v3_struct_0 @ sK2_SY122 )
| ~ ( v3_group_1 @ sK2_SY122 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(692,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(693,plain,
! [SV78: $i,SV93: $i] :
( ( ( v1_funct_2 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
= $false )
| ( ( v1_funct_1 @ SV93 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 ) )
= $true )
| ( ( l1_group_1 @ ( g1_group_1 @ SV78 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(694,plain,
! [SV79: $i,SV94: $i] :
( ( ( v1_funct_2 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
= $false )
| ( ( v1_funct_1 @ SV94 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 ) )
= $true )
| ( ( v1_group_1 @ ( g1_group_1 @ SV79 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(695,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(696,plain,
! [SV64: $i,SV41: $i] :
( ( ( ! [SY223: $i] :
( ~ ( m1_relset_1 @ SY223 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY223 )
| ~ ( v1_funct_2 @ SY223 @ SV41 @ SV64 )
| ( v1_partfun1 @ SY223 @ SV41 @ SV64 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(697,plain,
! [SV64: $i,SV41: $i,SV108: $i] :
( ( ( m1_relset_1 @ SV108 @ SV41 @ SV64 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV108 )
| ~ ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
| ( v1_funct_2 @ SV108 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(698,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(699,plain,
! [SV42: $i,SV65: $i] :
( ( ~ ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(700,plain,
! [SV95: $i,SV80: $i] :
( ( ( v3_struct_0 @ SV80 )
= $true )
| ( ( ~ ( v3_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(701,plain,
! [SV96: $i,SV81: $i] :
( ( ( v3_struct_0 @ SV81 )
= $true )
| ( ( ~ ( v3_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(702,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( ~ ( v3_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(703,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( ~ ( v3_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(704,plain,
! [SV30: $i,SV109: $i] :
( ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( m1_group_2 @ SY241 @ SV30 )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY242
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SY241 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SY241 ) @ ( k5_group_4 @ SV30 @ SY242 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(705,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(706,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(707,plain,
! [SV34: $i] :
( ( ( ~ ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) ) )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(708,plain,
! [SV34: $i] :
( ( ( ~ ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(709,plain,
! [SV34: $i,SV112: $i] :
( ( ( ~ ( m1_group_2 @ SV112 @ SV34 ) )
= $true )
| ( ( l1_group_1 @ SV112 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(710,plain,
! [SV89: $i,SV36: $i,SV101: $i] :
( ( ( v1_funct_1 @ SV101 )
= $false )
| ( ( ~ ( v1_partfun1 @ SV101 @ SV36 @ SV89 ) )
= $true )
| ( ( v1_funct_1 @ SV101 )
= $true )
| ( ( m1_relset_1 @ SV101 @ SV36 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(711,plain,
! [SV90: $i,SV36: $i,SV102: $i] :
( ( ( v1_funct_1 @ SV102 )
= $false )
| ( ( ~ ( v1_partfun1 @ SV102 @ SV36 @ SV90 ) )
= $true )
| ( ( v1_funct_2 @ SV102 @ SV36 @ SV90 )
= $true )
| ( ( m1_relset_1 @ SV102 @ SV36 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(712,plain,
! [SV62: $i,SV37: $i] :
( ( ( ! [SY214: $i] :
( ! [SY215: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY214 @ SY215 ) )
| ( SV37 = SY214 ) ) )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(713,plain,
! [SV62: $i,SV37: $i] :
( ( ( ! [SY216: $i,SY217: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SY216 @ SY217 ) )
| ( SV62 = SY217 ) ) )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(714,plain,
! [SV63: $i,SV38: $i,SV113: $i] :
( ( ( ~ ( m1_relset_1 @ SV113 @ SV38 @ SV63 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV113 )
| ~ ( v1_funct_2 @ SV113 @ SV38 @ SV63 )
| ( v1_funct_1 @ SV113 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(715,plain,
! [SV63: $i,SV38: $i,SV114: $i] :
( ( ( ~ ( m1_relset_1 @ SV114 @ SV38 @ SV63 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV114 )
| ~ ( v1_funct_2 @ SV114 @ SV38 @ SV63 )
| ( v1_partfun1 @ SV114 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(716,plain,
! [SV63: $i,SV38: $i,SV105: $i] :
( ( ( ~ ( v1_funct_1 @ SV105 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV105 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV105 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(717,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(718,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 )
| ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(719,plain,
( ( ~ ~ ( v3_struct_0 @ sK2_SY122 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(720,plain,
( ( ~ ( v3_group_1 @ sK2_SY122 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(721,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(722,plain,
( ( ~ ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(723,plain,
! [SV78: $i,SV93: $i] :
( ( ( m1_relset_1 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
= $false )
| ( ( v1_funct_1 @ SV93 )
= $false )
| ( ( v1_funct_2 @ SV93 @ ( k2_zfmisc_1 @ SV78 @ SV78 ) @ SV78 )
= $false )
| ( ( l1_group_1 @ ( g1_group_1 @ SV78 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(724,plain,
! [SV79: $i,SV94: $i] :
( ( ( m1_relset_1 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
= $false )
| ( ( v1_funct_1 @ SV94 )
= $false )
| ( ( v1_funct_2 @ SV94 @ ( k2_zfmisc_1 @ SV79 @ SV79 ) @ SV79 )
= $false )
| ( ( v1_group_1 @ ( g1_group_1 @ SV79 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(725,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) )
| ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(726,plain,
! [SV64: $i,SV41: $i,SV115: $i] :
( ( ( ~ ( m1_relset_1 @ SV115 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SV115 )
| ~ ( v1_funct_2 @ SV115 @ SV41 @ SV64 )
| ( v1_partfun1 @ SV115 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(727,plain,
! [SV64: $i,SV41: $i,SV108: $i] :
( ( ( ~ ( v1_funct_1 @ SV108 )
| ~ ( v1_funct_2 @ SV108 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV108 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(728,plain,
! [SV42: $i,SV65: $i] :
( ( m1_relset_1 @ ( sK20_C @ SV65 @ SV42 ) @ SV42 @ SV65 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(729,plain,
! [SV42: $i,SV65: $i] :
( ( v1_relat_1 @ ( sK20_C @ SV65 @ SV42 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(730,plain,
! [SV95: $i,SV80: $i] :
( ( ( v3_group_1 @ SV80 )
= $false )
| ( ( v3_struct_0 @ SV80 )
= $true )
| ( ( ~ ( v4_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(731,plain,
! [SV96: $i,SV81: $i] :
( ( ( v3_group_1 @ SV81 )
= $false )
| ( ( v3_struct_0 @ SV81 )
= $true )
| ( ( ~ ( v4_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(732,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( v3_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( ~ ( v4_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(733,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( v3_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(734,plain,
! [SV109: $i,SV30: $i,SV116: $i] :
( ( ( ~ ( m1_group_2 @ SV116 @ SV30 )
| ! [SY243: $i] :
( ~ ( m1_subset_1 @ SY243 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY243
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SY243 ) ) ) )
= $true )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(735,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(736,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(737,plain,
! [SV34: $i] :
( ( ( ! [SY177: $i] :
( ~ ( m1_group_2 @ SY177 @ SV34 )
| ~ ( v3_struct_0 @ SY177 ) ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(738,plain,
! [SV34: $i] :
( ( ( ! [SY178: $i] :
( ~ ( m1_group_2 @ SY178 @ SV34 )
| ( v3_group_1 @ SY178 ) ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(739,plain,
! [SV34: $i,SV112: $i] :
( ( ( m1_group_2 @ SV112 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV112 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(740,plain,
! [SV89: $i,SV36: $i,SV101: $i] :
( ( ( v1_partfun1 @ SV101 @ SV36 @ SV89 )
= $false )
| ( ( v1_funct_1 @ SV101 )
= $false )
| ( ( v1_funct_1 @ SV101 )
= $true )
| ( ( m1_relset_1 @ SV101 @ SV36 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(741,plain,
! [SV90: $i,SV36: $i,SV102: $i] :
( ( ( v1_partfun1 @ SV102 @ SV36 @ SV90 )
= $false )
| ( ( v1_funct_1 @ SV102 )
= $false )
| ( ( v1_funct_2 @ SV102 @ SV36 @ SV90 )
= $true )
| ( ( m1_relset_1 @ SV102 @ SV36 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(742,plain,
! [SV117: $i,SV62: $i,SV37: $i] :
( ( ( ! [SY244: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SV117 @ SY244 ) )
| ( SV37 = SV117 ) )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(743,plain,
! [SV118: $i,SV62: $i,SV37: $i] :
( ( ( ! [SY245: $i] :
( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SV118 @ SY245 ) )
| ( SV62 = SY245 ) ) )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(744,plain,
! [SV63: $i,SV38: $i,SV113: $i] :
( ( ( m1_relset_1 @ SV113 @ SV38 @ SV63 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV113 )
| ~ ( v1_funct_2 @ SV113 @ SV38 @ SV63 )
| ( v1_funct_1 @ SV113 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(745,plain,
! [SV63: $i,SV38: $i,SV114: $i] :
( ( ( m1_relset_1 @ SV114 @ SV38 @ SV63 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV114 )
| ~ ( v1_funct_2 @ SV114 @ SV38 @ SV63 )
| ( v1_partfun1 @ SV114 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(746,plain,
! [SV63: $i,SV38: $i,SV105: $i] :
( ( ( v1_funct_1 @ SV105 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV105 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV105 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(747,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(748,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 )
| ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(749,plain,
( ( ~ ( v3_struct_0 @ sK2_SY122 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(750,plain,
( ( v3_group_1 @ sK2_SY122 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(751,plain,
( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(752,plain,
( ( ~ ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(753,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(754,plain,
! [SV64: $i,SV41: $i] :
( ( ( ~ ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[725]) ).
thf(755,plain,
! [SV64: $i,SV41: $i,SV115: $i] :
( ( ( ~ ( m1_relset_1 @ SV115 @ SV41 @ SV64 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV115 )
| ~ ( v1_funct_2 @ SV115 @ SV41 @ SV64 )
| ( v1_partfun1 @ SV115 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(756,plain,
! [SV64: $i,SV41: $i,SV108: $i] :
( ( ( ~ ( v1_funct_1 @ SV108 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV108 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV108 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(757,plain,
! [SV95: $i,SV80: $i] :
( ( ( v4_group_1 @ SV80 )
= $false )
| ( ( v3_struct_0 @ SV80 )
= $true )
| ( ( v3_group_1 @ SV80 )
= $false )
| ( ( ~ ( l1_group_1 @ SV80 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(758,plain,
! [SV96: $i,SV81: $i] :
( ( ( v4_group_1 @ SV81 )
= $false )
| ( ( v3_struct_0 @ SV81 )
= $true )
| ( ( v3_group_1 @ SV81 )
= $false )
| ( ( ~ ( l1_group_1 @ SV81 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(759,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( v4_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( ~ ( l1_group_1 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(760,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(761,plain,
! [SV109: $i,SV30: $i,SV116: $i] :
( ( ( ~ ( m1_group_2 @ SV116 @ SV30 ) )
= $true )
| ( ( ! [SY243: $i] :
( ~ ( m1_subset_1 @ SY243 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY243
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SY243 ) ) ) )
= $true )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(762,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(763,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(764,plain,
! [SV34: $i,SV119: $i] :
( ( ( ~ ( m1_group_2 @ SV119 @ SV34 )
| ~ ( v3_struct_0 @ SV119 ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(765,plain,
! [SV34: $i,SV120: $i] :
( ( ( ~ ( m1_group_2 @ SV120 @ SV34 )
| ( v3_group_1 @ SV120 ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(766,plain,
! [SV117: $i,SV62: $i,SV37: $i] :
( ( ( ! [SY244: $i] :
( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SV117 @ SY244 ) ) )
= $true )
| ( ( SV37 = SV117 )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(767,plain,
! [SV121: $i,SV118: $i,SV62: $i,SV37: $i] :
( ( ( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SV118 @ SV121 ) )
| ( SV62 = SV121 ) )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(768,plain,
! [SV63: $i,SV38: $i,SV113: $i] :
( ( ( ~ ( v1_funct_1 @ SV113 )
| ~ ( v1_funct_2 @ SV113 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_funct_1 @ SV113 )
= $true )
| ( ( m1_relset_1 @ SV113 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(769,plain,
! [SV63: $i,SV38: $i,SV114: $i] :
( ( ( ~ ( v1_funct_1 @ SV114 )
| ~ ( v1_funct_2 @ SV114 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_partfun1 @ SV114 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV114 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(770,plain,
! [SV63: $i,SV38: $i,SV105: $i] :
( ( ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
= $false )
| ( ( v1_funct_1 @ SV105 )
= $false )
| ( ( v1_funct_2 @ SV105 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV105 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(771,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(772,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ( v3_struct_0 @ SV39 )
| ~ ( v3_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(773,plain,
( ( v3_struct_0 @ sK2_SY122 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(774,plain,
( ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
| ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(775,plain,
( ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(776,plain,
! [SV64: $i,SV41: $i] :
( ( ( ! [SY221: $i] :
( ~ ( m1_relset_1 @ SY221 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY221 )
| ~ ( v1_funct_2 @ SY221 @ SV41 @ SV64 )
| ( v1_funct_1 @ SY221 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(777,plain,
! [SV64: $i,SV41: $i] :
( ( ( ! [SY222: $i] :
( ~ ( m1_relset_1 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SY222 )
| ~ ( v1_funct_2 @ SY222 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SY222 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(778,plain,
! [SV64: $i,SV41: $i,SV115: $i] :
( ( ( m1_relset_1 @ SV115 @ SV41 @ SV64 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV115 )
| ~ ( v1_funct_2 @ SV115 @ SV41 @ SV64 )
| ( v1_partfun1 @ SV115 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(779,plain,
! [SV64: $i,SV41: $i,SV108: $i] :
( ( ( v1_funct_1 @ SV108 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV108 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV108 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(780,plain,
! [SV95: $i,SV80: $i] :
( ( ( l1_group_1 @ SV80 )
= $false )
| ( ( v3_group_1 @ SV80 )
= $false )
| ( ( v3_struct_0 @ SV80 )
= $true )
| ( ( v4_group_1 @ SV80 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) ) )
= $true )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(781,plain,
! [SV96: $i,SV81: $i] :
( ( ( l1_group_1 @ SV81 )
= $false )
| ( ( v3_group_1 @ SV81 )
= $false )
| ( ( v3_struct_0 @ SV81 )
= $true )
| ( ( v4_group_1 @ SV81 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) ) )
= $true )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(782,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( l1_group_1 @ SV20 )
= $false )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v4_group_1 @ SV20 )
= $false )
| ( ( ~ ( v1_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(783,plain,
! [SV75: $i,SV56: $i,SV21: $i] :
( ( ( l1_group_1 @ SV21 )
= $false )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( ~ ( v1_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(784,plain,
! [SV109: $i,SV30: $i,SV116: $i] :
( ( ( m1_group_2 @ SV116 @ SV30 )
= $false )
| ( ( ! [SY243: $i] :
( ~ ( m1_subset_1 @ SY243 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SY243
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SY243 ) ) ) )
= $true )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(785,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(786,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(787,plain,
! [SV34: $i,SV119: $i] :
( ( ( ~ ( m1_group_2 @ SV119 @ SV34 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ SV119 ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(788,plain,
! [SV34: $i,SV120: $i] :
( ( ( ~ ( m1_group_2 @ SV120 @ SV34 ) )
= $true )
| ( ( v3_group_1 @ SV120 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(789,plain,
! [SV122: $i,SV117: $i,SV62: $i,SV37: $i] :
( ( ( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SV117 @ SV122 ) ) )
= $true )
| ( ( SV37 = SV117 )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(790,plain,
! [SV121: $i,SV118: $i,SV62: $i,SV37: $i] :
( ( ( ( ( g1_group_1 @ SV37 @ SV62 )
!= ( g1_group_1 @ SV118 @ SV121 ) ) )
= $true )
| ( ( SV62 = SV121 )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(791,plain,
! [SV63: $i,SV38: $i,SV113: $i] :
( ( ( ~ ( v1_funct_1 @ SV113 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV113 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_funct_1 @ SV113 )
= $true )
| ( ( m1_relset_1 @ SV113 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(792,plain,
! [SV63: $i,SV38: $i,SV114: $i] :
( ( ( ~ ( v1_funct_1 @ SV114 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV114 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_partfun1 @ SV114 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV114 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(793,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( v3_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(794,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( v3_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(795,plain,
( ( ~ ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(796,plain,
( ( ~ ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(797,plain,
( ( ~ ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(798,plain,
( ( ~ ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(799,plain,
! [SV64: $i,SV41: $i,SV123: $i] :
( ( ( ~ ( m1_relset_1 @ SV123 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SV123 )
| ~ ( v1_funct_2 @ SV123 @ SV41 @ SV64 )
| ( v1_funct_1 @ SV123 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(800,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( ~ ( m1_relset_1 @ SV124 @ SV41 @ SV64 )
| ~ ( v1_funct_1 @ SV124 )
| ~ ( v1_funct_2 @ SV124 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SV124 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(801,plain,
! [SV64: $i,SV41: $i,SV115: $i] :
( ( ( ~ ( v1_funct_1 @ SV115 )
| ~ ( v1_funct_2 @ SV115 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_partfun1 @ SV115 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV115 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(802,plain,
! [SV64: $i,SV41: $i,SV108: $i] :
( ( ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
= $false )
| ( ( v1_funct_1 @ SV108 )
= $false )
| ( ( v1_funct_2 @ SV108 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV108 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(803,plain,
! [SV80: $i,SV95: $i] :
( ( ( m1_subset_1 @ SV95 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV80 ) ) )
= $false )
| ( ( v4_group_1 @ SV80 )
= $false )
| ( ( v3_struct_0 @ SV80 )
= $true )
| ( ( v3_group_1 @ SV80 )
= $false )
| ( ( l1_group_1 @ SV80 )
= $false )
| ( ( m1_group_2 @ ( k5_group_4 @ SV80 @ SV95 ) @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(804,plain,
! [SV81: $i,SV96: $i] :
( ( ( m1_subset_1 @ SV96 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV81 ) ) )
= $false )
| ( ( v4_group_1 @ SV81 )
= $false )
| ( ( v3_struct_0 @ SV81 )
= $true )
| ( ( v3_group_1 @ SV81 )
= $false )
| ( ( l1_group_1 @ SV81 )
= $false )
| ( ( v1_group_1 @ ( k5_group_4 @ SV81 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(805,plain,
! [SV71: $i,SV20: $i,SV55: $i] :
( ( ( v1_group_1 @ SV55 )
= $false )
| ( ( v4_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( l1_group_1 @ SV20 )
= $false )
| ( ( ~ ( m1_group_2 @ SV55 @ SV20 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(806,plain,
! [SV75: $i,SV21: $i,SV56: $i] :
( ( ( v1_group_1 @ SV56 )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false )
| ( ( ~ ( m1_group_2 @ SV56 @ SV21 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(807,plain,
! [SV116: $i,SV109: $i,SV30: $i,SV125: $i] :
( ( ( ~ ( m1_subset_1 @ SV125 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
| ( SV125
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SV125 ) ) )
= $true )
| ( ( m1_group_2 @ SV116 @ SV30 )
= $false )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(808,plain,
! [SV97: $i,SV83: $i,SV31: $i] :
( ( ( l1_group_1 @ SV31 )
= $false )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( ~ ( m1_group_2 @ SV83 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(809,plain,
! [SV98: $i,SV84: $i,SV31: $i] :
( ( ( l1_group_1 @ SV31 )
= $false )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( ~ ( m1_group_2 @ SV84 @ SV31 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(810,plain,
! [SV34: $i,SV119: $i] :
( ( ( m1_group_2 @ SV119 @ SV34 )
= $false )
| ( ( ~ ( v3_struct_0 @ SV119 ) )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(811,plain,
! [SV34: $i,SV120: $i] :
( ( ( m1_group_2 @ SV120 @ SV34 )
= $false )
| ( ( v3_group_1 @ SV120 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(812,plain,
! [SV122: $i,SV117: $i,SV62: $i,SV37: $i] :
( ( ( ( g1_group_1 @ SV37 @ SV62 )
= ( g1_group_1 @ SV117 @ SV122 ) )
= $false )
| ( ( SV37 = SV117 )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(813,plain,
! [SV121: $i,SV118: $i,SV62: $i,SV37: $i] :
( ( ( ( g1_group_1 @ SV37 @ SV62 )
= ( g1_group_1 @ SV118 @ SV121 ) )
= $false )
| ( ( SV62 = SV121 )
= $true )
| ( ( v1_funct_2 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false )
| ( ( v1_funct_1 @ SV62 )
= $false )
| ( ( m1_relset_1 @ SV62 @ ( k2_zfmisc_1 @ SV37 @ SV37 ) @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(814,plain,
! [SV63: $i,SV38: $i,SV113: $i] :
( ( ( v1_funct_1 @ SV113 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV113 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_funct_1 @ SV113 )
= $true )
| ( ( m1_relset_1 @ SV113 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(815,plain,
! [SV63: $i,SV38: $i,SV114: $i] :
( ( ( v1_funct_1 @ SV114 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV114 @ SV38 @ SV63 ) )
= $true )
| ( ( v1_partfun1 @ SV114 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV114 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(816,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(817,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( v4_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(818,plain,
( ( ~ ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(819,plain,
( ( m2_relset_1 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(820,plain,
( ( m1_subset_1 @ sK6_SY136 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(821,plain,
( ( ~ ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(822,plain,
! [SV64: $i,SV41: $i,SV123: $i] :
( ( ( ~ ( m1_relset_1 @ SV123 @ SV41 @ SV64 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV123 )
| ~ ( v1_funct_2 @ SV123 @ SV41 @ SV64 )
| ( v1_funct_1 @ SV123 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(823,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( ~ ( m1_relset_1 @ SV124 @ SV41 @ SV64 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV124 )
| ~ ( v1_funct_2 @ SV124 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SV124 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(824,plain,
! [SV64: $i,SV41: $i,SV115: $i] :
( ( ( ~ ( v1_funct_1 @ SV115 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV115 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_partfun1 @ SV115 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV115 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(825,plain,
! [SV71: $i,SV20: $i,SV55: $i] :
( ( ( m1_group_2 @ SV55 @ SV20 )
= $false )
| ( ( l1_group_1 @ SV20 )
= $false )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v4_group_1 @ SV20 )
= $false )
| ( ( v1_group_1 @ SV55 )
= $false )
| ( ( ~ ( v1_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(826,plain,
! [SV75: $i,SV21: $i,SV56: $i] :
( ( ( m1_group_2 @ SV56 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v1_group_1 @ SV56 )
= $false )
| ( ( ~ ( v1_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(827,plain,
! [SV116: $i,SV109: $i,SV30: $i,SV125: $i] :
( ( ( ~ ( m1_subset_1 @ SV125 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) ) )
= $true )
| ( ( ( SV125
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SV125 ) ) )
= $true )
| ( ( m1_group_2 @ SV116 @ SV30 )
= $false )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(828,plain,
! [SV97: $i,SV31: $i,SV83: $i] :
( ( ( m1_group_2 @ SV83 @ SV31 )
= $false )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false )
| ( ( ~ ( m1_group_2 @ SV97 @ SV31 ) )
= $true )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(829,plain,
! [SV98: $i,SV31: $i,SV84: $i] :
( ( ( m1_group_2 @ SV84 @ SV31 )
= $false )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false )
| ( ( ~ ( m1_group_2 @ SV98 @ SV31 ) )
= $true )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(830,plain,
! [SV34: $i,SV119: $i] :
( ( ( v3_struct_0 @ SV119 )
= $false )
| ( ( m1_group_2 @ SV119 @ SV34 )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(831,plain,
! [SV63: $i,SV38: $i,SV113: $i] :
( ( ( v1_funct_2 @ SV113 @ SV38 @ SV63 )
= $false )
| ( ( v1_funct_1 @ SV113 )
= $false )
| ( ( v1_funct_1 @ SV113 )
= $true )
| ( ( m1_relset_1 @ SV113 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(832,plain,
! [SV63: $i,SV38: $i,SV114: $i] :
( ( ( v1_funct_2 @ SV114 @ SV38 @ SV63 )
= $false )
| ( ( v1_funct_1 @ SV114 )
= $false )
| ( ( v1_partfun1 @ SV114 @ SV38 @ SV63 )
= $true )
| ( ( m1_relset_1 @ SV114 @ SV38 @ SV63 )
= $false )
| ( ( v1_xboole_0 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(833,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(834,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( ~ ( l1_group_1 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(835,plain,
( ( ~ ( v1_funct_1 @ sK5_SY134 )
| ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(836,plain,
( ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
| ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(837,plain,
! [SV64: $i,SV41: $i,SV123: $i] :
( ( ( m1_relset_1 @ SV123 @ SV41 @ SV64 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV123 )
| ~ ( v1_funct_2 @ SV123 @ SV41 @ SV64 )
| ( v1_funct_1 @ SV123 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(838,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( m1_relset_1 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV124 )
| ~ ( v1_funct_2 @ SV124 @ SV41 @ SV64 )
| ~ ( v1_xboole_0 @ SV124 ) )
= $true )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(839,plain,
! [SV64: $i,SV41: $i,SV115: $i] :
( ( ( v1_funct_1 @ SV115 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV115 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_partfun1 @ SV115 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV115 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(840,plain,
! [SV20: $i,SV55: $i,SV71: $i] :
( ( ( v1_group_1 @ SV71 )
= $false )
| ( ( v1_group_1 @ SV55 )
= $false )
| ( ( v4_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( l1_group_1 @ SV20 )
= $false )
| ( ( m1_group_2 @ SV55 @ SV20 )
= $false )
| ( ( ~ ( m1_group_2 @ SV71 @ SV20 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(841,plain,
! [SV21: $i,SV56: $i,SV75: $i] :
( ( ( v1_group_1 @ SV75 )
= $false )
| ( ( v1_group_1 @ SV56 )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false )
| ( ( m1_group_2 @ SV56 @ SV21 )
= $false )
| ( ( ~ ( m1_group_2 @ SV75 @ SV21 ) )
= $true )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(842,plain,
! [SV116: $i,SV109: $i,SV30: $i,SV125: $i] :
( ( ( m1_subset_1 @ SV125 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
= $false )
| ( ( ( SV125
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) )
| ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SV125 ) ) )
= $true )
| ( ( m1_group_2 @ SV116 @ SV30 )
= $false )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(843,plain,
! [SV83: $i,SV31: $i,SV97: $i] :
( ( ( m1_group_2 @ SV97 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( m1_group_2 @ SV83 @ SV31 )
= $false )
| ( ( m1_group_2 @ ( k8_group_4 @ SV31 @ SV83 @ SV97 ) @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(844,plain,
! [SV84: $i,SV31: $i,SV98: $i] :
( ( ( m1_group_2 @ SV98 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( m1_group_2 @ SV84 @ SV31 )
= $false )
| ( ( v1_group_1 @ ( k8_group_4 @ SV31 @ SV84 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(845,plain,
! [SV103: $i,SV91: $i,SV39: $i] :
( ( ( l1_group_1 @ SV39 )
= $false )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(846,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( l1_group_1 @ SV39 )
= $false )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( ~ ( v1_group_1 @ SV92 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(847,plain,
( ( ~ ( v1_funct_1 @ sK5_SY134 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(848,plain,
( ( ~ ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(849,plain,
( ( ( sK6_SY136
!= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(850,plain,
( ( ~ ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(851,plain,
! [SV64: $i,SV41: $i,SV123: $i] :
( ( ( ~ ( v1_funct_1 @ SV123 )
| ~ ( v1_funct_2 @ SV123 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_funct_1 @ SV123 )
= $true )
| ( ( m1_relset_1 @ SV123 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(852,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( ~ ( v1_funct_1 @ SV124 )
| ~ ( v1_funct_2 @ SV124 @ SV41 @ SV64 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV124 ) )
= $true )
| ( ( m1_relset_1 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(853,plain,
! [SV64: $i,SV41: $i,SV115: $i] :
( ( ( v1_funct_2 @ SV115 @ SV41 @ SV64 )
= $false )
| ( ( v1_funct_1 @ SV115 )
= $false )
| ( ( v1_partfun1 @ SV115 @ SV41 @ SV64 )
= $true )
| ( ( m1_relset_1 @ SV115 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(854,plain,
! [SV55: $i,SV20: $i,SV71: $i] :
( ( ( m1_group_2 @ SV71 @ SV20 )
= $false )
| ( ( m1_group_2 @ SV55 @ SV20 )
= $false )
| ( ( l1_group_1 @ SV20 )
= $false )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v4_group_1 @ SV20 )
= $false )
| ( ( v1_group_1 @ SV55 )
= $false )
| ( ( v1_group_1 @ SV71 )
= $false )
| ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 )
| ( r1_group_2 @ SV20 @ SV71 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(855,plain,
! [SV56: $i,SV21: $i,SV75: $i] :
( ( ( m1_group_2 @ SV75 @ SV21 )
= $false )
| ( ( m1_group_2 @ SV56 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v1_group_1 @ SV56 )
= $false )
| ( ( v1_group_1 @ SV75 )
= $false )
| ( ( r1_group_2 @ SV21 @ SV56 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(856,plain,
! [SV30: $i,SV116: $i,SV109: $i,SV125: $i] :
( ( ( ( SV125
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) ) )
= $true )
| ( ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SV125 ) )
= $true )
| ( ( m1_subset_1 @ SV125 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
= $false )
| ( ( m1_group_2 @ SV116 @ SV30 )
= $false )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(857,plain,
! [SV103: $i,SV39: $i,SV91: $i] :
( ( ( v1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( ~ ( m1_group_2 @ SV91 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(858,plain,
! [SV104: $i,SV39: $i,SV92: $i] :
( ( ( v1_group_1 @ SV92 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( ~ ( m1_group_2 @ SV92 @ SV39 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(859,plain,
( ( v1_funct_1 @ sK5_SY134 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(860,plain,
( ( v1_funct_2 @ sK5_SY134 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(861,plain,
( ( sK6_SY136
= ( k2_xboole_0 @ ( u1_struct_0 @ sK3_SY127 ) @ ( u1_struct_0 @ sK4_SY131 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(862,plain,
( ( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(863,plain,
! [SV64: $i,SV41: $i,SV123: $i] :
( ( ( ~ ( v1_funct_1 @ SV123 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV123 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_funct_1 @ SV123 )
= $true )
| ( ( m1_relset_1 @ SV123 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(864,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( ~ ( v1_funct_1 @ SV124 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV124 @ SV41 @ SV64 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV124 ) )
= $true )
| ( ( m1_relset_1 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(865,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( ~ ( r1_group_2 @ SV20 @ SV55 @ SV71 ) )
= $true )
| ( ( r1_group_2 @ SV20 @ SV71 @ SV55 )
= $true )
| ( ( v1_group_1 @ SV71 )
= $false )
| ( ( v1_group_1 @ SV55 )
= $false )
| ( ( v4_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( l1_group_1 @ SV20 )
= $false )
| ( ( m1_group_2 @ SV55 @ SV20 )
= $false )
| ( ( m1_group_2 @ SV71 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(866,plain,
! [SV30: $i,SV116: $i,SV109: $i,SV125: $i] :
( ( ( SV125
= ( k2_xboole_0 @ ( u1_struct_0 @ SV109 ) @ ( u1_struct_0 @ SV116 ) ) )
= $false )
| ( ( r1_group_2 @ SV30 @ ( k8_group_4 @ SV30 @ SV109 @ SV116 ) @ ( k5_group_4 @ SV30 @ SV125 ) )
= $true )
| ( ( m1_subset_1 @ SV125 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV30 ) ) )
= $false )
| ( ( m1_group_2 @ SV116 @ SV30 )
= $false )
| ( ( m1_group_2 @ SV109 @ SV30 )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(867,plain,
! [SV103: $i,SV39: $i,SV91: $i] :
( ( ( m1_group_2 @ SV91 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( ~ ( v1_group_1 @ SV103 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(868,plain,
! [SV104: $i,SV39: $i,SV92: $i] :
( ( ( m1_group_2 @ SV92 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v1_group_1 @ SV92 )
= $false )
| ( ( ~ ( v1_group_1 @ SV104 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(869,plain,
( ( ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k8_group_4 @ sK1_A @ sK3_SY127 @ sK4_SY131 ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY122 ) @ sK5_SY134 @ ( u1_struct_0 @ ( k5_group_4 @ sK1_A @ sK6_SY136 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(870,plain,
! [SV64: $i,SV41: $i,SV123: $i] :
( ( ( v1_funct_1 @ SV123 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV123 @ SV41 @ SV64 ) )
= $true )
| ( ( v1_funct_1 @ SV123 )
= $true )
| ( ( m1_relset_1 @ SV123 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(871,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( v1_funct_1 @ SV124 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV124 @ SV41 @ SV64 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV124 ) )
= $true )
| ( ( m1_relset_1 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(872,plain,
! [SV71: $i,SV55: $i,SV20: $i] :
( ( ( r1_group_2 @ SV20 @ SV55 @ SV71 )
= $false )
| ( ( r1_group_2 @ SV20 @ SV71 @ SV55 )
= $true )
| ( ( v1_group_1 @ SV71 )
= $false )
| ( ( v1_group_1 @ SV55 )
= $false )
| ( ( v4_group_1 @ SV20 )
= $false )
| ( ( v3_struct_0 @ SV20 )
= $true )
| ( ( v3_group_1 @ SV20 )
= $false )
| ( ( l1_group_1 @ SV20 )
= $false )
| ( ( m1_group_2 @ SV55 @ SV20 )
= $false )
| ( ( m1_group_2 @ SV71 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(873,plain,
! [SV39: $i,SV91: $i,SV103: $i] :
( ( ( v1_group_1 @ SV103 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV91 @ SV39 )
= $false )
| ( ( ~ ( m1_group_2 @ SV103 @ SV39 ) )
= $true )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(874,plain,
! [SV39: $i,SV92: $i,SV104: $i] :
( ( ( v1_group_1 @ SV104 )
= $false )
| ( ( v1_group_1 @ SV92 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV92 @ SV39 )
= $false )
| ( ( ~ ( m1_group_2 @ SV104 @ SV39 ) )
= $true )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(875,plain,
! [SV64: $i,SV41: $i,SV123: $i] :
( ( ( v1_funct_2 @ SV123 @ SV41 @ SV64 )
= $false )
| ( ( v1_funct_1 @ SV123 )
= $false )
| ( ( v1_funct_1 @ SV123 )
= $true )
| ( ( m1_relset_1 @ SV123 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(876,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( v1_funct_2 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( v1_funct_1 @ SV124 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV124 ) )
= $true )
| ( ( m1_relset_1 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(877,plain,
! [SV91: $i,SV39: $i,SV103: $i] :
( ( ( m1_group_2 @ SV103 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV91 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( v1_group_1 @ SV103 )
= $false )
| ( ( ( SV91 != SV103 )
| ( r1_group_2 @ SV39 @ SV91 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(878,plain,
! [SV92: $i,SV39: $i,SV104: $i] :
( ( ( m1_group_2 @ SV104 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV92 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v1_group_1 @ SV92 )
= $false )
| ( ( v1_group_1 @ SV104 )
= $false )
| ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 )
| ( SV92 = SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(879,plain,
! [SV64: $i,SV41: $i,SV124: $i] :
( ( ( v1_xboole_0 @ SV124 )
= $false )
| ( ( v1_funct_1 @ SV124 )
= $false )
| ( ( v1_funct_2 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( m1_relset_1 @ SV124 @ SV41 @ SV64 )
= $false )
| ( ( v1_xboole_0 @ SV64 )
= $true )
| ( ( v1_xboole_0 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(880,plain,
! [SV39: $i,SV103: $i,SV91: $i] :
( ( ( ( SV91 != SV103 ) )
= $true )
| ( ( r1_group_2 @ SV39 @ SV91 @ SV103 )
= $true )
| ( ( v1_group_1 @ SV103 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV91 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV103 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(881,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( ~ ( r1_group_2 @ SV39 @ SV92 @ SV104 ) )
= $true )
| ( ( SV92 = SV104 )
= $true )
| ( ( v1_group_1 @ SV104 )
= $false )
| ( ( v1_group_1 @ SV92 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV92 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV104 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(882,plain,
! [SV39: $i,SV103: $i,SV91: $i] :
( ( ( SV91 = SV103 )
= $false )
| ( ( r1_group_2 @ SV39 @ SV91 @ SV103 )
= $true )
| ( ( v1_group_1 @ SV103 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV91 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV103 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(883,plain,
! [SV104: $i,SV92: $i,SV39: $i] :
( ( ( r1_group_2 @ SV39 @ SV92 @ SV104 )
= $false )
| ( ( SV92 = SV104 )
= $true )
| ( ( v1_group_1 @ SV104 )
= $false )
| ( ( v1_group_1 @ SV92 )
= $false )
| ( ( v4_group_1 @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v3_group_1 @ SV39 )
= $false )
| ( ( l1_group_1 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV92 @ SV39 )
= $false )
| ( ( m1_group_2 @ SV104 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(884,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[188,883,882,879,875,872,869,866,861,860,859,855,853,844,843,832,831,830,820,819,813,812,811,804,803,802,773,770,750,741,740,739,729,728,724,723,676,675,672,671,661,660,637,619,618,615,614,613,605,585,584,579,568,567,564,555,554,532,529,522,519,501,492,485,484,483,482,481,480,477,463,462,457,433,432,426,406,392,384,346,341,337,327,302,294,290,284,276,272,249,248,247,243,241,236,234,227,214,205,204,203,202,200,191]) ).
thf(885,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 22:34:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.39 .
% 0.13/0.40
% 0.13/0.40 No.of.Axioms: 62
% 0.13/0.40
% 0.13/0.40 Length.of.Defs: 0
% 0.13/0.40
% 0.13/0.40 Contains.Choice.Funs: false
% 0.18/0.43 .
% 0.18/0.46 (rf:0,axioms:62,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:64,loop_count:0,foatp_calls:0,translation:fof_full)..................................................
% 2.83/3.07
% 2.83/3.07 ********************************
% 2.83/3.07 * All subproblems solved! *
% 2.83/3.07 ********************************
% 2.83/3.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:884,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.12/3.38
% 3.12/3.38 %**** Beginning of derivation protocol ****
% 3.12/3.38 % SZS output start CNFRefutation
% See solution above
% 3.12/3.39
% 3.12/3.39 %**** End of derivation protocol ****
% 3.12/3.39 %**** no. of clauses in derivation: 885 ****
% 3.12/3.39 %**** clause counter: 884 ****
% 3.12/3.39
% 3.12/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:884,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------