TSTP Solution File: SEU424+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU424+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 : n004.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 : Tue Jul 19 12:11:48 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 73
% Syntax : Number of formulae : 459 ( 291 unt; 30 typ; 0 def)
% Number of atoms : 2409 ( 708 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 5065 ( 693 ~; 638 |; 76 &;3598 @)
% ( 8 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 10 con; 0-5 aty)
% Number of variables : 1006 ( 0 ^ 988 !; 18 ?;1006 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_4_0_relset_2,type,
a_4_0_relset_2: $i > $i > $i > $i > $i ).
thf(tp_k10_relset_1,type,
k10_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k1_tarski,type,
k1_tarski: $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_relset_2,type,
k2_relset_2: $i > $i > $i > $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k9_relat_1,type,
k9_relat_1: $i > $i > $i ).
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_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_F,type,
sK11_F: $i > $i > $i > $i > $i > $i ).
thf(tp_sK12_C,type,
sK12_C: $i > $i > $i ).
thf(tp_sK13_B,type,
sK13_B: $i > $i ).
thf(tp_sK14_C,type,
sK14_C: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY85,type,
sK2_SY85: $i ).
thf(tp_sK3_SY88,type,
sK3_SY88: $i ).
thf(tp_sK4_SY90,type,
sK4_SY90: $i ).
thf(tp_sK5_C,type,
sK5_C: $i > $i > $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_B,type,
sK7_B: $i > $i ).
thf(tp_sK8_A,type,
sK8_A: $i ).
thf(tp_sK9_B,type,
sK9_B: $i > $i ).
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_relat_1,type,
v3_relat_1: $i > $o ).
thf(1,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(4,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(5,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(6,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(7,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
thf(8,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(9,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
& ( m2_relset_1 @ D @ A @ B ) )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
thf(11,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(12,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(13,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k10_relset_1 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
thf(14,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v3_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
thf(15,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(16,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(17,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(18,axiom,
? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
& ( m2_relset_1 @ E @ B @ C ) )
=> ( ( r2_hidden @ A @ ( a_4_0_relset_2 @ B @ C @ D @ E ) )
<=> ? [F: $i] :
( ( m1_subset_1 @ F @ B )
& ( A
= ( k2_relset_2 @ B @ C @ E @ F ) )
& ( r2_hidden @ F @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_4_0_relset_2) ).
thf(20,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(21,axiom,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
thf(22,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
thf(23,axiom,
! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_sysrel) ).
thf(24,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(25,axiom,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 )
& ( v3_relat_1 @ k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
thf(26,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(27,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(28,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(29,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(30,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(31,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(32,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relat_1) ).
thf(33,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_relset_1 @ C @ A @ B )
& ( m1_subset_1 @ D @ A ) )
=> ( m1_subset_1 @ ( k2_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_relset_2) ).
thf(35,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(36,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(37,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tarski) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ ( k10_relset_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relset_1) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ A )
=> ( ( k2_relset_2 @ A @ B @ C @ D )
= ( k10_relset_1 @ A @ B @ C @ ( k1_tarski @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_2) ).
thf(40,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(41,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(43,conjecture,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m2_relset_1 @ D @ A @ B )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_relset_2) ).
thf(44,negated_conjecture,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m2_relset_1 @ D @ A @ B )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[43]) ).
thf(45,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ! [D: $i] :
( ( m2_relset_1 @ D @ A @ B )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[44]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(48,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(49,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)],[4]) ).
thf(50,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)],[5]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
& ( m2_relset_1 @ D @ A @ B ) )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(57,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)],[12]) ).
thf(58,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( k10_relset_1 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(59,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v3_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(60,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(61,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(62,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)],[17]) ).
thf(63,plain,
( ( ? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(64,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
& ( m2_relset_1 @ E @ B @ C ) )
=> ( ( r2_hidden @ A @ ( a_4_0_relset_2 @ B @ C @ D @ E ) )
<=> ? [F: $i] :
( ( m1_subset_1 @ F @ B )
& ( A
= ( k2_relset_2 @ B @ C @ E @ F ) )
& ( r2_hidden @ F @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(65,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)],[20]) ).
thf(66,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(67,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(69,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(70,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 )
& ( v3_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(72,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(74,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)],[29]) ).
thf(75,plain,
$true = $true,
inference(unfold_def,[status(thm)],[30]) ).
thf(76,plain,
$true = $true,
inference(unfold_def,[status(thm)],[31]) ).
thf(77,plain,
$true = $true,
inference(unfold_def,[status(thm)],[32]) ).
thf(78,plain,
$true = $true,
inference(unfold_def,[status(thm)],[33]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( m1_relset_1 @ C @ A @ B )
& ( m1_subset_1 @ D @ A ) )
=> ( m1_subset_1 @ ( k2_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(80,plain,
$true = $true,
inference(unfold_def,[status(thm)],[35]) ).
thf(81,plain,
$true = $true,
inference(unfold_def,[status(thm)],[36]) ).
thf(82,plain,
$true = $true,
inference(unfold_def,[status(thm)],[37]) ).
thf(83,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ ( k10_relset_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ A )
=> ( ( k2_relset_2 @ A @ B @ C @ D )
= ( k10_relset_1 @ A @ B @ C @ ( k1_tarski @ D ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(85,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)],[40]) ).
thf(86,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(88,plain,
( ( ~ ( v1_xboole_0 @ sK1_A )
=> ! [SY85: $i,SY86: $i] :
( ( m1_subset_1 @ SY86 @ ( k1_zfmisc_1 @ sK1_A ) )
=> ! [SY87: $i] :
( ( m2_relset_1 @ SY87 @ sK1_A @ SY85 )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ SY85 @ SY86 @ SY87 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY85 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(89,plain,
( ( ~ ( v1_xboole_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[88]) ).
thf(90,plain,
( ( ! [SY85: $i,SY86: $i] :
( ( m1_subset_1 @ SY86 @ ( k1_zfmisc_1 @ sK1_A ) )
=> ! [SY87: $i] :
( ( m2_relset_1 @ SY87 @ sK1_A @ SY85 )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ SY85 @ SY86 @ SY87 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY85 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[88]) ).
thf(91,plain,
( ( ~ ! [SY85: $i,SY86: $i] :
( ( m1_subset_1 @ SY86 @ ( k1_zfmisc_1 @ sK1_A ) )
=> ! [SY87: $i] :
( ( m2_relset_1 @ SY87 @ sK1_A @ SY85 )
=> ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ SY85 @ SY86 @ SY87 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY85 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[90]) ).
thf(92,plain,
( ( ( m1_subset_1 @ sK3_SY88 @ ( k1_zfmisc_1 @ sK1_A ) )
& ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
& ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(95,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(96,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)],[49]) ).
thf(97,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)],[50]) ).
thf(98,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)],[51]) ).
thf(99,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( r2_hidden @ ( sK5_C @ B @ A ) @ A )
| ~ ( r2_hidden @ ( sK5_C @ B @ A ) @ B ) )
& ( ( r2_hidden @ ( sK5_C @ B @ A ) @ A )
| ( r2_hidden @ ( sK5_C @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(100,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(101,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(102,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( v1_xboole_0 @ A )
| ~ ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
| ~ ( m2_relset_1 @ D @ A @ B )
| ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(103,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(104,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)],[57]) ).
thf(105,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] :
( ( k10_relset_1 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(106,plain,
( ( ( v1_relat_1 @ sK6_A )
& ( v3_relat_1 @ sK6_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(107,plain,
( ( ! [A: $i] :
( ( m1_subset_1 @ ( sK7_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ ( sK7_B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(108,plain,
( ( ~ ( v1_xboole_0 @ sK8_A )
& ( v1_relat_1 @ sK8_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(109,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK9_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK9_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(110,plain,
( ( ( v1_relat_1 @ sK10_A )
& ( v1_xboole_0 @ sK10_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ! [D: $i,E: $i] :
( ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
| ~ ( m2_relset_1 @ E @ B @ C )
| ! [F: $i] :
( ( A
!= ( k2_relset_2 @ B @ C @ E @ F ) )
| ~ ( m1_subset_1 @ F @ B )
| ~ ( r2_hidden @ F @ D ) )
| ( r2_hidden @ A @ ( a_4_0_relset_2 @ B @ C @ D @ E ) ) )
& ! [D: $i,E: $i] :
( ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
| ~ ( m2_relset_1 @ E @ B @ C )
| ~ ( r2_hidden @ A @ ( a_4_0_relset_2 @ B @ C @ D @ E ) )
| ( ( A
= ( k2_relset_2 @ B @ C @ E @ ( sK11_F @ E @ D @ C @ B @ A ) ) )
& ( m1_subset_1 @ ( sK11_F @ E @ D @ C @ B @ A ) @ B )
& ( r2_hidden @ ( sK11_F @ E @ D @ C @ B @ A ) @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(112,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)],[65]) ).
thf(113,plain,
( ( ( v1_relat_1 @ k1_xboole_0 )
& ( v1_xboole_0 @ k1_xboole_0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(114,plain,
( ( ( v1_relat_1 @ k1_xboole_0 )
& ( v1_xboole_0 @ k1_xboole_0 )
& ( v3_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(115,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK12_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(116,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK13_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(117,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK14_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(118,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)],[74]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( m1_subset_1 @ D @ A )
| ( m1_subset_1 @ ( k2_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] : ( m1_subset_1 @ ( k10_relset_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(121,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ! [D: $i] :
( ~ ( m1_subset_1 @ D @ A )
| ( ( k2_relset_2 @ A @ B @ C @ D )
= ( k10_relset_1 @ A @ B @ C @ ( k1_tarski @ D ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(122,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)],[85]) ).
thf(123,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_relat_1 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(126,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(127,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)],[122]) ).
thf(128,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m2_relset_1 @ C @ A @ B )
| ! [D: $i] :
( ~ ( m1_subset_1 @ D @ A )
| ( ( k2_relset_2 @ A @ B @ C @ D )
= ( k10_relset_1 @ A @ B @ C @ ( k1_tarski @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(129,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] : ( m1_subset_1 @ ( k10_relset_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(130,plain,
$true = $true,
inference(copy,[status(thm)],[82]) ).
thf(131,plain,
$true = $true,
inference(copy,[status(thm)],[81]) ).
thf(132,plain,
$true = $true,
inference(copy,[status(thm)],[80]) ).
thf(133,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ~ ( m1_subset_1 @ D @ A )
| ( m1_subset_1 @ ( k2_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(134,plain,
$true = $true,
inference(copy,[status(thm)],[78]) ).
thf(135,plain,
$true = $true,
inference(copy,[status(thm)],[77]) ).
thf(136,plain,
$true = $true,
inference(copy,[status(thm)],[76]) ).
thf(137,plain,
$true = $true,
inference(copy,[status(thm)],[75]) ).
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(copy,[status(thm)],[118]) ).
thf(139,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK14_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(140,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK13_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(141,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK12_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(142,plain,
( ( ( v1_relat_1 @ k1_xboole_0 )
& ( v1_xboole_0 @ k1_xboole_0 )
& ( v3_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(143,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(144,plain,
( ( ! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(145,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(146,plain,
( ( ( v1_relat_1 @ k1_xboole_0 )
& ( v1_xboole_0 @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(147,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)],[112]) ).
thf(148,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ! [D: $i,E: $i] :
( ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
| ~ ( m2_relset_1 @ E @ B @ C )
| ! [F: $i] :
( ( A
!= ( k2_relset_2 @ B @ C @ E @ F ) )
| ~ ( m1_subset_1 @ F @ B )
| ~ ( r2_hidden @ F @ D ) )
| ( r2_hidden @ A @ ( a_4_0_relset_2 @ B @ C @ D @ E ) ) )
& ! [D: $i,E: $i] :
( ( v1_xboole_0 @ B )
| ~ ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) )
| ~ ( m2_relset_1 @ E @ B @ C )
| ~ ( r2_hidden @ A @ ( a_4_0_relset_2 @ B @ C @ D @ E ) )
| ( ( A
= ( k2_relset_2 @ B @ C @ E @ ( sK11_F @ E @ D @ C @ B @ A ) ) )
& ( m1_subset_1 @ ( sK11_F @ E @ D @ C @ B @ A ) @ B )
& ( r2_hidden @ ( sK11_F @ E @ D @ C @ B @ A ) @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(149,plain,
( ( ( v1_relat_1 @ sK10_A )
& ( v1_xboole_0 @ sK10_A ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(150,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( ( m1_subset_1 @ ( sK9_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ ( sK9_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(151,plain,
( ( ~ ( v1_xboole_0 @ sK8_A )
& ( v1_relat_1 @ sK8_A ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(152,plain,
( ( ! [A: $i] :
( ( m1_subset_1 @ ( sK7_B @ A ) @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ ( sK7_B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(153,plain,
( ( ( v1_relat_1 @ sK6_A )
& ( v3_relat_1 @ sK6_A ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(154,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( m1_relset_1 @ C @ A @ B )
| ! [D: $i] :
( ( k10_relset_1 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(155,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)],[104]) ).
thf(156,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(157,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( v1_xboole_0 @ A )
| ~ ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
| ~ ( m2_relset_1 @ D @ A @ B )
| ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(158,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(159,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( r2_hidden @ ( sK5_C @ B @ A ) @ A )
| ~ ( r2_hidden @ ( sK5_C @ B @ A ) @ B ) )
& ( ( r2_hidden @ ( sK5_C @ B @ A ) @ A )
| ( r2_hidden @ ( sK5_C @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(161,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)],[98]) ).
thf(162,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)],[97]) ).
thf(163,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)],[96]) ).
thf(164,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(165,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(166,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(167,plain,
( ( ~ ( v1_xboole_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(168,plain,
( ( ( m1_subset_1 @ sK3_SY88 @ ( k1_zfmisc_1 @ sK1_A ) )
& ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
& ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(169,plain,
( ( ~ ( ~ ( v1_relat_1 @ sK10_A )
| ~ ( v1_xboole_0 @ sK10_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(170,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK8_A )
| ~ ( v1_relat_1 @ sK8_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(171,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)],[155]) ).
thf(172,plain,
( ( ~ ( ~ ( v1_relat_1 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(173,plain,
( ( ~ ( ~ ( v1_relat_1 @ sK6_A )
| ~ ( v3_relat_1 @ sK6_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(174,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i,SX4: $i] :
( ( v1_xboole_0 @ SX1 )
| ~ ( m1_subset_1 @ SX3 @ ( k1_zfmisc_1 @ SX1 ) )
| ~ ( m2_relset_1 @ SX4 @ SX1 @ SX2 )
| ! [SX5: $i] :
( ( SX0
!= ( k2_relset_2 @ SX1 @ SX2 @ SX4 @ SX5 ) )
| ~ ( m1_subset_1 @ SX5 @ SX1 )
| ~ ( r2_hidden @ SX5 @ SX3 ) )
| ( r2_hidden @ SX0 @ ( a_4_0_relset_2 @ SX1 @ SX2 @ SX3 @ SX4 ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( v1_xboole_0 @ SX1 )
| ~ ( m1_subset_1 @ SX3 @ ( k1_zfmisc_1 @ SX1 ) )
| ~ ( m2_relset_1 @ SX4 @ SX1 @ SX2 )
| ~ ( r2_hidden @ SX0 @ ( a_4_0_relset_2 @ SX1 @ SX2 @ SX3 @ SX4 ) )
| ~ ( ~ ~ ( ( SX0
!= ( k2_relset_2 @ SX1 @ SX2 @ SX4 @ ( sK11_F @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( r2_hidden @ ( sK11_F @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(175,plain,
( ( ~ ( ~ ~ ( ~ ( v1_relat_1 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v3_relat_1 @ k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(176,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)],[161]) ).
thf(177,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(178,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( r2_hidden @ ( sK5_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( r2_hidden @ ( sK5_C @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( r2_hidden @ ( sK5_C @ SX1 @ SX0 ) @ SX0 )
| ( r2_hidden @ ( sK5_C @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(179,plain,
( ( ! [SX0: $i] :
~ ( ~ ( m1_subset_1 @ ( sK7_B @ SX0 ) @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ ( sK7_B @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(180,plain,
( ( ~ ( ~ ( m1_subset_1 @ sK3_SY88 @ ( k1_zfmisc_1 @ sK1_A ) )
| ~ ~ ( ~ ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
| ~ ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(181,plain,
! [SV1: $i] :
( ( ! [SY91: $i] :
( ~ ( r2_hidden @ SV1 @ SY91 )
| ~ ( r2_hidden @ SY91 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(182,plain,
! [SV2: $i] :
( ( ~ ( v1_xboole_0 @ SV2 )
| ( v1_relat_1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(183,plain,
! [SV3: $i] :
( ( ! [SY92: $i,SY93: $i] :
( ~ ( m1_subset_1 @ SY93 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SY92 ) ) )
| ( v1_relat_1 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(184,plain,
! [SV4: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ~ ( m2_relset_1 @ SY95 @ SV4 @ SY94 )
| ! [SY96: $i] :
( ~ ( m1_subset_1 @ SY96 @ SV4 )
| ( ( k2_relset_2 @ SV4 @ SY94 @ SY95 @ SY96 )
= ( k10_relset_1 @ SV4 @ SY94 @ SY95 @ ( k1_tarski @ SY96 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(185,plain,
! [SV5: $i] :
( ( ! [SY97: $i,SY98: $i] :
( ~ ( m1_relset_1 @ SY98 @ SV5 @ SY97 )
| ! [SY99: $i] : ( m1_subset_1 @ ( k10_relset_1 @ SV5 @ SY97 @ SY98 @ SY99 ) @ ( k1_zfmisc_1 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(186,plain,
! [SV6: $i] :
( ( ! [SY100: $i,SY101: $i,SY102: $i] :
( ~ ( m1_relset_1 @ SY101 @ SV6 @ SY100 )
| ~ ( m1_subset_1 @ SY102 @ SV6 )
| ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SY100 @ SY101 @ SY102 ) @ ( k1_zfmisc_1 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(187,plain,
! [SV7: $i] :
( ( ! [SY103: $i,SY104: $i] :
( ~ ( m2_relset_1 @ SY104 @ SV7 @ SY103 )
| ( m1_subset_1 @ SY104 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV7 @ SY103 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(188,plain,
! [SV8: $i] :
( ( ! [SY105: $i] : ( m1_relset_1 @ ( sK14_C @ SY105 @ SV8 ) @ SV8 @ SY105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(189,plain,
! [SV9: $i] :
( ( m1_subset_1 @ ( sK13_B @ SV9 ) @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(190,plain,
! [SV10: $i] :
( ( ! [SY106: $i] : ( m2_relset_1 @ ( sK12_C @ SY106 @ SV10 ) @ SV10 @ SY106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(191,plain,
! [SV11: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(192,plain,
! [SV12: $i] :
( ( ! [SY107: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ SV12 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(193,plain,
! [SV13: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_tarski @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(194,plain,
! [SV14: $i] :
( ( ! [SY108: $i] :
( ( v1_xboole_0 @ SV14 )
| ( v1_xboole_0 @ SY108 )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV14 @ SY108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(195,plain,
! [SV15: $i] :
( ( ! [SY109: $i,SY110: $i] :
( ~ ( m1_relset_1 @ SY110 @ SV15 @ SY109 )
| ! [SY111: $i] :
( ( k10_relset_1 @ SV15 @ SY109 @ SY110 @ SY111 )
= ( k9_relat_1 @ SY110 @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(196,plain,
! [SV16: $i] :
( ( r1_tarski @ SV16 @ SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(197,plain,
! [SV17: $i] :
( ( ! [SY112: $i,SY113: $i,SY114: $i] :
( ( v1_xboole_0 @ SV17 )
| ~ ( m1_subset_1 @ SY113 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ( m2_relset_1 @ SY114 @ SV17 @ SY112 )
| ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SY112 @ SY113 @ SY114 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY112 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(198,plain,
! [SV18: $i] :
( ( ! [SY115: $i] :
( ~ ( r2_hidden @ SV18 @ SY115 )
| ( m1_subset_1 @ SV18 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(199,plain,
! [SV19: $i] :
( ( ! [SY116: $i] :
( ~ ( m1_subset_1 @ SV19 @ SY116 )
| ( r2_hidden @ SV19 @ SY116 )
| ( v1_xboole_0 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(200,plain,
! [SV20: $i] :
( ( ! [SY117: $i,SY118: $i] :
( ~ ( m1_subset_1 @ SY117 @ ( k1_zfmisc_1 @ SY118 ) )
| ~ ( r2_hidden @ SV20 @ SY117 )
| ( m1_subset_1 @ SV20 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(201,plain,
! [SV21: $i] :
( ( ! [SY119: $i,SY120: $i] :
( ~ ( m1_subset_1 @ SY119 @ ( k1_zfmisc_1 @ SY120 ) )
| ~ ( r2_hidden @ SV21 @ SY119 )
| ~ ( v1_xboole_0 @ SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(202,plain,
! [SV22: $i] :
( ( ~ ( v1_xboole_0 @ SV22 )
| ( SV22 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(203,plain,
! [SV23: $i] :
( ( ! [SY121: $i] :
( ~ ( r2_hidden @ SV23 @ SY121 )
| ~ ( v1_xboole_0 @ SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(204,plain,
! [SV24: $i] :
( ( ! [SY122: $i] :
( ( SV24 = SY122 )
| ~ ( v1_xboole_0 @ SV24 )
| ~ ( v1_xboole_0 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(205,plain,
( ( v1_xboole_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(206,plain,
( ( ~ ( v1_relat_1 @ sK10_A )
| ~ ( v1_xboole_0 @ sK10_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(207,plain,
( ( ~ ~ ( v1_xboole_0 @ sK8_A )
| ~ ( v1_relat_1 @ sK8_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(208,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY123: $i,SY124: $i] :
( ~ ( m1_relset_1 @ SY124 @ SV25 @ SY123 )
| ( m2_relset_1 @ SY124 @ SV25 @ SY123 ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( m2_relset_1 @ SY126 @ SV25 @ SY125 )
| ( m1_relset_1 @ SY126 @ SV25 @ SY125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(209,plain,
( ( ~ ( v1_relat_1 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(210,plain,
( ( ~ ( v1_relat_1 @ sK6_A )
| ~ ( v3_relat_1 @ sK6_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(211,plain,
! [SV26: $i] :
( ( ! [SY127: $i,SY128: $i] :
~ ( ~ ! [SY129: $i,SY130: $i] :
( ( v1_xboole_0 @ SY127 )
| ~ ( m1_subset_1 @ SY129 @ ( k1_zfmisc_1 @ SY127 ) )
| ~ ( m2_relset_1 @ SY130 @ SY127 @ SY128 )
| ! [SY131: $i] :
( ( SV26
!= ( k2_relset_2 @ SY127 @ SY128 @ SY130 @ SY131 ) )
| ~ ( m1_subset_1 @ SY131 @ SY127 )
| ~ ( r2_hidden @ SY131 @ SY129 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SY127 @ SY128 @ SY129 @ SY130 ) ) )
| ~ ! [SY132: $i,SY133: $i] :
( ( v1_xboole_0 @ SY127 )
| ~ ( m1_subset_1 @ SY132 @ ( k1_zfmisc_1 @ SY127 ) )
| ~ ( m2_relset_1 @ SY133 @ SY127 @ SY128 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SY127 @ SY128 @ SY132 @ SY133 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SY127 @ SY128 @ SY133 @ ( sK11_F @ SY133 @ SY132 @ SY128 @ SY127 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SY133 @ SY132 @ SY128 @ SY127 @ SV26 ) @ SY127 ) )
| ~ ( r2_hidden @ ( sK11_F @ SY133 @ SY132 @ SY128 @ SY127 @ SV26 ) @ SY132 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(212,plain,
( ( ~ ~ ( ~ ( v1_relat_1 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
| ~ ( v3_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(213,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)],[176]) ).
thf(214,plain,
! [SV27: $i] :
( ( ( v1_xboole_0 @ SV27 )
| ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SV27 ) @ ( k1_zfmisc_1 @ SV27 ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(215,plain,
! [SV28: $i] :
( ( ! [SY134: $i] :
( ~ ( ~ ( ~ ( r2_hidden @ ( sK5_C @ SY134 @ SV28 ) @ SV28 )
| ~ ( r2_hidden @ ( sK5_C @ SY134 @ SV28 ) @ SY134 ) )
| ~ ( ( r2_hidden @ ( sK5_C @ SY134 @ SV28 ) @ SV28 )
| ( r2_hidden @ ( sK5_C @ SY134 @ SV28 ) @ SY134 ) ) )
| ( SV28 = SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(216,plain,
! [SV29: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK7_B @ SV29 ) @ ( k1_zfmisc_1 @ SV29 ) )
| ~ ( v1_xboole_0 @ ( sK7_B @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(217,plain,
( ( ~ ( m1_subset_1 @ sK3_SY88 @ ( k1_zfmisc_1 @ sK1_A ) )
| ~ ~ ( ~ ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
| ~ ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(218,plain,
! [SV30: $i,SV1: $i] :
( ( ~ ( r2_hidden @ SV1 @ SV30 )
| ~ ( r2_hidden @ SV30 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(219,plain,
! [SV2: $i] :
( ( ( ~ ( v1_xboole_0 @ SV2 ) )
= $true )
| ( ( v1_relat_1 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(220,plain,
! [SV31: $i,SV3: $i] :
( ( ! [SY135: $i] :
( ~ ( m1_subset_1 @ SY135 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV31 ) ) )
| ( v1_relat_1 @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(221,plain,
! [SV32: $i,SV4: $i] :
( ( ! [SY136: $i] :
( ~ ( m2_relset_1 @ SY136 @ SV4 @ SV32 )
| ! [SY137: $i] :
( ~ ( m1_subset_1 @ SY137 @ SV4 )
| ( ( k2_relset_2 @ SV4 @ SV32 @ SY136 @ SY137 )
= ( k10_relset_1 @ SV4 @ SV32 @ SY136 @ ( k1_tarski @ SY137 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(222,plain,
! [SV33: $i,SV5: $i] :
( ( ! [SY138: $i] :
( ~ ( m1_relset_1 @ SY138 @ SV5 @ SV33 )
| ! [SY139: $i] : ( m1_subset_1 @ ( k10_relset_1 @ SV5 @ SV33 @ SY138 @ SY139 ) @ ( k1_zfmisc_1 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(223,plain,
! [SV34: $i,SV6: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ~ ( m1_relset_1 @ SY140 @ SV6 @ SV34 )
| ~ ( m1_subset_1 @ SY141 @ SV6 )
| ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SV34 @ SY140 @ SY141 ) @ ( k1_zfmisc_1 @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(224,plain,
! [SV35: $i,SV7: $i] :
( ( ! [SY142: $i] :
( ~ ( m2_relset_1 @ SY142 @ SV7 @ SV35 )
| ( m1_subset_1 @ SY142 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV7 @ SV35 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(225,plain,
! [SV8: $i,SV36: $i] :
( ( m1_relset_1 @ ( sK14_C @ SV36 @ SV8 ) @ SV8 @ SV36 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(226,plain,
! [SV10: $i,SV37: $i] :
( ( m2_relset_1 @ ( sK12_C @ SV37 @ SV10 ) @ SV10 @ SV37 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(227,plain,
! [SV11: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV11 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(228,plain,
! [SV38: $i,SV12: $i] :
( ( v1_relat_1 @ ( k2_zfmisc_1 @ SV12 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(229,plain,
! [SV13: $i] :
( ( v1_xboole_0 @ ( k1_tarski @ SV13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(230,plain,
! [SV39: $i,SV14: $i] :
( ( ( v1_xboole_0 @ SV14 )
| ( v1_xboole_0 @ SV39 )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV14 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(231,plain,
! [SV40: $i,SV15: $i] :
( ( ! [SY143: $i] :
( ~ ( m1_relset_1 @ SY143 @ SV15 @ SV40 )
| ! [SY144: $i] :
( ( k10_relset_1 @ SV15 @ SV40 @ SY143 @ SY144 )
= ( k9_relat_1 @ SY143 @ SY144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(232,plain,
! [SV41: $i,SV17: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ( v1_xboole_0 @ SV17 )
| ~ ( m1_subset_1 @ SY145 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ( m2_relset_1 @ SY146 @ SV17 @ SV41 )
| ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SY145 @ SY146 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(233,plain,
! [SV42: $i,SV18: $i] :
( ( ~ ( r2_hidden @ SV18 @ SV42 )
| ( m1_subset_1 @ SV18 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(234,plain,
! [SV43: $i,SV19: $i] :
( ( ~ ( m1_subset_1 @ SV19 @ SV43 )
| ( r2_hidden @ SV19 @ SV43 )
| ( v1_xboole_0 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(235,plain,
! [SV20: $i,SV44: $i] :
( ( ! [SY147: $i] :
( ~ ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SY147 ) )
| ~ ( r2_hidden @ SV20 @ SV44 )
| ( m1_subset_1 @ SV20 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(236,plain,
! [SV21: $i,SV45: $i] :
( ( ! [SY148: $i] :
( ~ ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ SY148 ) )
| ~ ( r2_hidden @ SV21 @ SV45 )
| ~ ( v1_xboole_0 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(237,plain,
! [SV22: $i] :
( ( ( ~ ( v1_xboole_0 @ SV22 ) )
= $true )
| ( ( SV22 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(238,plain,
! [SV46: $i,SV23: $i] :
( ( ~ ( r2_hidden @ SV23 @ SV46 )
| ~ ( v1_xboole_0 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(239,plain,
! [SV47: $i,SV24: $i] :
( ( ( SV24 = SV47 )
| ~ ( v1_xboole_0 @ SV24 )
| ~ ( v1_xboole_0 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(240,plain,
( ( ~ ( v1_relat_1 @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(241,plain,
( ( ~ ( v1_xboole_0 @ sK10_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(242,plain,
( ( ~ ~ ( v1_xboole_0 @ sK8_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(243,plain,
( ( ~ ( v1_relat_1 @ sK8_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(244,plain,
! [SV25: $i] :
( ( ~ ! [SY123: $i,SY124: $i] :
( ~ ( m1_relset_1 @ SY124 @ SV25 @ SY123 )
| ( m2_relset_1 @ SY124 @ SV25 @ SY123 ) )
| ~ ! [SY125: $i,SY126: $i] :
( ~ ( m2_relset_1 @ SY126 @ SV25 @ SY125 )
| ( m1_relset_1 @ SY126 @ SV25 @ SY125 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(245,plain,
( ( ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(246,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(247,plain,
( ( ~ ( v1_relat_1 @ sK6_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(248,plain,
( ( ~ ( v3_relat_1 @ sK6_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(249,plain,
! [SV26: $i,SV48: $i] :
( ( ! [SY149: $i] :
~ ( ~ ! [SY150: $i,SY151: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY150 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY151 @ SV48 @ SY149 )
| ! [SY152: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SY149 @ SY151 @ SY152 ) )
| ~ ( m1_subset_1 @ SY152 @ SV48 )
| ~ ( r2_hidden @ SY152 @ SY150 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SY149 @ SY150 @ SY151 ) ) )
| ~ ! [SY153: $i,SY154: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY153 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY154 @ SV48 @ SY149 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SY149 @ SY153 @ SY154 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SY149 @ SY154 @ ( sK11_F @ SY154 @ SY153 @ SY149 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SY154 @ SY153 @ SY149 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SY154 @ SY153 @ SY149 @ SV48 @ SV26 ) @ SY153 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(250,plain,
( ( ~ ~ ( ~ ( v1_relat_1 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(251,plain,
( ( ~ ( v3_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(252,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(253,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(254,plain,
! [SV27: $i] :
( ( ( v1_xboole_0 @ SV27 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK9_B @ SV27 ) @ ( k1_zfmisc_1 @ SV27 ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(255,plain,
! [SV28: $i,SV49: $i] :
( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) )
| ~ ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) ) )
| ( SV28 = SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(256,plain,
! [SV29: $i] :
( ( ~ ( m1_subset_1 @ ( sK7_B @ SV29 ) @ ( k1_zfmisc_1 @ SV29 ) )
| ~ ( v1_xboole_0 @ ( sK7_B @ SV29 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(257,plain,
( ( ~ ( m1_subset_1 @ sK3_SY88 @ ( k1_zfmisc_1 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(258,plain,
( ( ~ ~ ( ~ ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
| ~ ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(259,plain,
! [SV30: $i,SV1: $i] :
( ( ( ~ ( r2_hidden @ SV1 @ SV30 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV30 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(260,plain,
! [SV2: $i] :
( ( ( v1_xboole_0 @ SV2 )
= $false )
| ( ( v1_relat_1 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(261,plain,
! [SV31: $i,SV3: $i,SV50: $i] :
( ( ~ ( m1_subset_1 @ SV50 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV31 ) ) )
| ( v1_relat_1 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(262,plain,
! [SV32: $i,SV4: $i,SV51: $i] :
( ( ~ ( m2_relset_1 @ SV51 @ SV4 @ SV32 )
| ! [SY155: $i] :
( ~ ( m1_subset_1 @ SY155 @ SV4 )
| ( ( k2_relset_2 @ SV4 @ SV32 @ SV51 @ SY155 )
= ( k10_relset_1 @ SV4 @ SV32 @ SV51 @ ( k1_tarski @ SY155 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(263,plain,
! [SV33: $i,SV5: $i,SV52: $i] :
( ( ~ ( m1_relset_1 @ SV52 @ SV5 @ SV33 )
| ! [SY156: $i] : ( m1_subset_1 @ ( k10_relset_1 @ SV5 @ SV33 @ SV52 @ SY156 ) @ ( k1_zfmisc_1 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(264,plain,
! [SV34: $i,SV6: $i,SV53: $i] :
( ( ! [SY157: $i] :
( ~ ( m1_relset_1 @ SV53 @ SV6 @ SV34 )
| ~ ( m1_subset_1 @ SY157 @ SV6 )
| ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SV34 @ SV53 @ SY157 ) @ ( k1_zfmisc_1 @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(265,plain,
! [SV35: $i,SV7: $i,SV54: $i] :
( ( ~ ( m2_relset_1 @ SV54 @ SV7 @ SV35 )
| ( m1_subset_1 @ SV54 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV7 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(266,plain,
! [SV39: $i,SV14: $i] :
( ( ( ( v1_xboole_0 @ SV14 )
| ( v1_xboole_0 @ SV39 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV14 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(267,plain,
! [SV40: $i,SV15: $i,SV55: $i] :
( ( ~ ( m1_relset_1 @ SV55 @ SV15 @ SV40 )
| ! [SY158: $i] :
( ( k10_relset_1 @ SV15 @ SV40 @ SV55 @ SY158 )
= ( k9_relat_1 @ SV55 @ SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(268,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ! [SY159: $i] :
( ( v1_xboole_0 @ SV17 )
| ~ ( m1_subset_1 @ SV56 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ( m2_relset_1 @ SY159 @ SV17 @ SV41 )
| ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SV56 @ SY159 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(269,plain,
! [SV42: $i,SV18: $i] :
( ( ( ~ ( r2_hidden @ SV18 @ SV42 ) )
= $true )
| ( ( m1_subset_1 @ SV18 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(270,plain,
! [SV43: $i,SV19: $i] :
( ( ( ~ ( m1_subset_1 @ SV19 @ SV43 ) )
= $true )
| ( ( ( r2_hidden @ SV19 @ SV43 )
| ( v1_xboole_0 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(271,plain,
! [SV20: $i,SV57: $i,SV44: $i] :
( ( ~ ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV57 ) )
| ~ ( r2_hidden @ SV20 @ SV44 )
| ( m1_subset_1 @ SV20 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(272,plain,
! [SV21: $i,SV58: $i,SV45: $i] :
( ( ~ ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ SV58 ) )
| ~ ( r2_hidden @ SV21 @ SV45 )
| ~ ( v1_xboole_0 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(273,plain,
! [SV22: $i] :
( ( ( v1_xboole_0 @ SV22 )
= $false )
| ( ( SV22 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(274,plain,
! [SV46: $i,SV23: $i] :
( ( ( ~ ( r2_hidden @ SV23 @ SV46 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(275,plain,
! [SV47: $i,SV24: $i] :
( ( ( ( SV24 = SV47 )
| ~ ( v1_xboole_0 @ SV24 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(276,plain,
( ( v1_relat_1 @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(277,plain,
( ( v1_xboole_0 @ sK10_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(278,plain,
( ( ~ ( v1_xboole_0 @ sK8_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(279,plain,
( ( v1_relat_1 @ sK8_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(280,plain,
! [SV25: $i] :
( ( ~ ! [SY123: $i,SY124: $i] :
( ~ ( m1_relset_1 @ SY124 @ SV25 @ SY123 )
| ( m2_relset_1 @ SY124 @ SV25 @ SY123 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(281,plain,
! [SV25: $i] :
( ( ~ ! [SY125: $i,SY126: $i] :
( ~ ( m2_relset_1 @ SY126 @ SV25 @ SY125 )
| ( m1_relset_1 @ SY126 @ SV25 @ SY125 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(282,plain,
( ( v1_relat_1 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(283,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(284,plain,
( ( v1_relat_1 @ sK6_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(285,plain,
( ( v3_relat_1 @ sK6_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(286,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ~ ( ~ ! [SY160: $i,SY161: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY160 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY161 @ SV48 @ SV59 )
| ! [SY162: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY161 @ SY162 ) )
| ~ ( m1_subset_1 @ SY162 @ SV48 )
| ~ ( r2_hidden @ SY162 @ SY160 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY160 @ SY161 ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY163 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY164 @ SV48 @ SV59 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY163 @ SY164 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY164 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SY163 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(287,plain,
( ( ~ ( ~ ( v1_relat_1 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(288,plain,
( ( v3_relat_1 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(289,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(290,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(291,plain,
! [SV27: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK9_B @ SV27 ) @ ( k1_zfmisc_1 @ SV27 ) )
| ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV27 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(292,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) )
| ~ ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) ) ) )
= $true )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(293,plain,
! [SV29: $i] :
( ( ~ ( m1_subset_1 @ ( sK7_B @ SV29 ) @ ( k1_zfmisc_1 @ SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(294,plain,
! [SV29: $i] :
( ( ~ ( v1_xboole_0 @ ( sK7_B @ SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(295,plain,
( ( m1_subset_1 @ sK3_SY88 @ ( k1_zfmisc_1 @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(296,plain,
( ( ~ ( ~ ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
| ~ ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(297,plain,
! [SV30: $i,SV1: $i] :
( ( ( r2_hidden @ SV1 @ SV30 )
= $false )
| ( ( ~ ( r2_hidden @ SV30 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(298,plain,
! [SV31: $i,SV3: $i,SV50: $i] :
( ( ( ~ ( m1_subset_1 @ SV50 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV31 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(299,plain,
! [SV32: $i,SV4: $i,SV51: $i] :
( ( ( ~ ( m2_relset_1 @ SV51 @ SV4 @ SV32 ) )
= $true )
| ( ( ! [SY155: $i] :
( ~ ( m1_subset_1 @ SY155 @ SV4 )
| ( ( k2_relset_2 @ SV4 @ SV32 @ SV51 @ SY155 )
= ( k10_relset_1 @ SV4 @ SV32 @ SV51 @ ( k1_tarski @ SY155 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(300,plain,
! [SV33: $i,SV5: $i,SV52: $i] :
( ( ( ~ ( m1_relset_1 @ SV52 @ SV5 @ SV33 ) )
= $true )
| ( ( ! [SY156: $i] : ( m1_subset_1 @ ( k10_relset_1 @ SV5 @ SV33 @ SV52 @ SY156 ) @ ( k1_zfmisc_1 @ SV33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(301,plain,
! [SV60: $i,SV34: $i,SV6: $i,SV53: $i] :
( ( ~ ( m1_relset_1 @ SV53 @ SV6 @ SV34 )
| ~ ( m1_subset_1 @ SV60 @ SV6 )
| ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SV34 @ SV53 @ SV60 ) @ ( k1_zfmisc_1 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(302,plain,
! [SV35: $i,SV7: $i,SV54: $i] :
( ( ( ~ ( m2_relset_1 @ SV54 @ SV7 @ SV35 ) )
= $true )
| ( ( m1_subset_1 @ SV54 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV7 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(303,plain,
! [SV39: $i,SV14: $i] :
( ( ( v1_xboole_0 @ SV14 )
= $true )
| ( ( v1_xboole_0 @ SV39 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV14 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(304,plain,
! [SV40: $i,SV15: $i,SV55: $i] :
( ( ( ~ ( m1_relset_1 @ SV55 @ SV15 @ SV40 ) )
= $true )
| ( ( ! [SY158: $i] :
( ( k10_relset_1 @ SV15 @ SV40 @ SV55 @ SY158 )
= ( k9_relat_1 @ SV55 @ SY158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(305,plain,
! [SV41: $i,SV61: $i,SV56: $i,SV17: $i] :
( ( ( v1_xboole_0 @ SV17 )
| ~ ( m1_subset_1 @ SV56 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ( m2_relset_1 @ SV61 @ SV17 @ SV41 )
| ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SV56 @ SV61 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(306,plain,
! [SV42: $i,SV18: $i] :
( ( ( r2_hidden @ SV18 @ SV42 )
= $false )
| ( ( m1_subset_1 @ SV18 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(307,plain,
! [SV43: $i,SV19: $i] :
( ( ( m1_subset_1 @ SV19 @ SV43 )
= $false )
| ( ( ( r2_hidden @ SV19 @ SV43 )
| ( v1_xboole_0 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(308,plain,
! [SV20: $i,SV57: $i,SV44: $i] :
( ( ( ~ ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV57 ) )
| ~ ( r2_hidden @ SV20 @ SV44 ) )
= $true )
| ( ( m1_subset_1 @ SV20 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(309,plain,
! [SV21: $i,SV58: $i,SV45: $i] :
( ( ( ~ ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ SV58 ) )
| ~ ( r2_hidden @ SV21 @ SV45 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(310,plain,
! [SV46: $i,SV23: $i] :
( ( ( r2_hidden @ SV23 @ SV46 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(311,plain,
! [SV47: $i,SV24: $i] :
( ( ( SV24 = SV47 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV24 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(312,plain,
( ( v1_xboole_0 @ sK8_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(313,plain,
! [SV25: $i] :
( ( ! [SY123: $i,SY124: $i] :
( ~ ( m1_relset_1 @ SY124 @ SV25 @ SY123 )
| ( m2_relset_1 @ SY124 @ SV25 @ SY123 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(314,plain,
! [SV25: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ~ ( m2_relset_1 @ SY126 @ SV25 @ SY125 )
| ( m1_relset_1 @ SY126 @ SV25 @ SY125 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(315,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ~ ! [SY160: $i,SY161: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY160 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY161 @ SV48 @ SV59 )
| ! [SY162: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY161 @ SY162 ) )
| ~ ( m1_subset_1 @ SY162 @ SV48 )
| ~ ( r2_hidden @ SY162 @ SY160 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY160 @ SY161 ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY163 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY164 @ SV48 @ SV59 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY163 @ SY164 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY164 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SY163 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(316,plain,
( ( ~ ( v1_relat_1 @ k1_xboole_0 )
| ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(317,plain,
! [SV62: $i] :
( ( ! [SY165: $i] :
( ~ ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SY165 ) )
| ( r1_tarski @ SV62 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(318,plain,
! [SV63: $i] :
( ( ! [SY166: $i] :
( ~ ( r1_tarski @ SV63 @ SY166 )
| ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SY166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(319,plain,
! [SV27: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK9_B @ SV27 ) @ ( k1_zfmisc_1 @ SV27 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(320,plain,
! [SV27: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK9_B @ SV27 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV27 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(321,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) )
| ~ ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) ) )
= $false )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(322,plain,
! [SV29: $i] :
( ( m1_subset_1 @ ( sK7_B @ SV29 ) @ ( k1_zfmisc_1 @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(323,plain,
! [SV29: $i] :
( ( v1_xboole_0 @ ( sK7_B @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(324,plain,
( ( ~ ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
| ~ ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(325,plain,
! [SV1: $i,SV30: $i] :
( ( ( r2_hidden @ SV30 @ SV1 )
= $false )
| ( ( r2_hidden @ SV1 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(326,plain,
! [SV31: $i,SV3: $i,SV50: $i] :
( ( ( m1_subset_1 @ SV50 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV31 ) ) )
= $false )
| ( ( v1_relat_1 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(327,plain,
! [SV32: $i,SV4: $i,SV51: $i] :
( ( ( m2_relset_1 @ SV51 @ SV4 @ SV32 )
= $false )
| ( ( ! [SY155: $i] :
( ~ ( m1_subset_1 @ SY155 @ SV4 )
| ( ( k2_relset_2 @ SV4 @ SV32 @ SV51 @ SY155 )
= ( k10_relset_1 @ SV4 @ SV32 @ SV51 @ ( k1_tarski @ SY155 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(328,plain,
! [SV33: $i,SV5: $i,SV52: $i] :
( ( ( m1_relset_1 @ SV52 @ SV5 @ SV33 )
= $false )
| ( ( ! [SY156: $i] : ( m1_subset_1 @ ( k10_relset_1 @ SV5 @ SV33 @ SV52 @ SY156 ) @ ( k1_zfmisc_1 @ SV33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(329,plain,
! [SV60: $i,SV34: $i,SV6: $i,SV53: $i] :
( ( ( ~ ( m1_relset_1 @ SV53 @ SV6 @ SV34 )
| ~ ( m1_subset_1 @ SV60 @ SV6 ) )
= $true )
| ( ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SV34 @ SV53 @ SV60 ) @ ( k1_zfmisc_1 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(330,plain,
! [SV35: $i,SV7: $i,SV54: $i] :
( ( ( m2_relset_1 @ SV54 @ SV7 @ SV35 )
= $false )
| ( ( m1_subset_1 @ SV54 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV7 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(331,plain,
! [SV39: $i,SV14: $i] :
( ( ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV14 @ SV39 ) )
= $false )
| ( ( v1_xboole_0 @ SV39 )
= $true )
| ( ( v1_xboole_0 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(332,plain,
! [SV40: $i,SV15: $i,SV55: $i] :
( ( ( m1_relset_1 @ SV55 @ SV15 @ SV40 )
= $false )
| ( ( ! [SY158: $i] :
( ( k10_relset_1 @ SV15 @ SV40 @ SV55 @ SY158 )
= ( k9_relat_1 @ SV55 @ SY158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(333,plain,
! [SV41: $i,SV61: $i,SV56: $i,SV17: $i] :
( ( ( ( v1_xboole_0 @ SV17 )
| ~ ( m1_subset_1 @ SV56 @ ( k1_zfmisc_1 @ SV17 ) )
| ~ ( m2_relset_1 @ SV61 @ SV17 @ SV41 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SV56 @ SV61 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(334,plain,
! [SV43: $i,SV19: $i] :
( ( ( r2_hidden @ SV19 @ SV43 )
= $true )
| ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( m1_subset_1 @ SV19 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(335,plain,
! [SV20: $i,SV57: $i,SV44: $i] :
( ( ( ~ ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV57 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV20 @ SV44 ) )
= $true )
| ( ( m1_subset_1 @ SV20 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(336,plain,
! [SV21: $i,SV58: $i,SV45: $i] :
( ( ( ~ ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ SV58 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV21 @ SV45 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(337,plain,
! [SV23: $i,SV46: $i] :
( ( ( v1_xboole_0 @ SV46 )
= $false )
| ( ( r2_hidden @ SV23 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(338,plain,
! [SV47: $i,SV24: $i] :
( ( ( v1_xboole_0 @ SV24 )
= $false )
| ( ( SV24 = SV47 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(339,plain,
! [SV64: $i,SV25: $i] :
( ( ! [SY167: $i] :
( ~ ( m1_relset_1 @ SY167 @ SV25 @ SV64 )
| ( m2_relset_1 @ SY167 @ SV25 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(340,plain,
! [SV65: $i,SV25: $i] :
( ( ! [SY168: $i] :
( ~ ( m2_relset_1 @ SY168 @ SV25 @ SV65 )
| ( m1_relset_1 @ SY168 @ SV25 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(341,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ~ ! [SY160: $i,SY161: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY160 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY161 @ SV48 @ SV59 )
| ! [SY162: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY161 @ SY162 ) )
| ~ ( m1_subset_1 @ SY162 @ SV48 )
| ~ ( r2_hidden @ SY162 @ SY160 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY160 @ SY161 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(342,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ~ ! [SY163: $i,SY164: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY163 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY164 @ SV48 @ SV59 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY163 @ SY164 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY164 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SY163 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(343,plain,
( ( ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(344,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(345,plain,
! [SV66: $i,SV62: $i] :
( ( ~ ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SV66 ) )
| ( r1_tarski @ SV62 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(346,plain,
! [SV67: $i,SV63: $i] :
( ( ~ ( r1_tarski @ SV63 @ SV67 )
| ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(347,plain,
! [SV27: $i] :
( ( ( m1_subset_1 @ ( sK9_B @ SV27 ) @ ( k1_zfmisc_1 @ SV27 ) )
= $true )
| ( ( v1_xboole_0 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(348,plain,
! [SV27: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK9_B @ SV27 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(349,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) ) )
= $false )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(350,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) ) )
= $false )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(351,plain,
( ( ~ ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(352,plain,
( ( ~ ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(353,plain,
! [SV51: $i,SV32: $i,SV4: $i,SV68: $i] :
( ( ( ~ ( m1_subset_1 @ SV68 @ SV4 )
| ( ( k2_relset_2 @ SV4 @ SV32 @ SV51 @ SV68 )
= ( k10_relset_1 @ SV4 @ SV32 @ SV51 @ ( k1_tarski @ SV68 ) ) ) )
= $true )
| ( ( m2_relset_1 @ SV51 @ SV4 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(354,plain,
! [SV69: $i,SV52: $i,SV33: $i,SV5: $i] :
( ( ( m1_subset_1 @ ( k10_relset_1 @ SV5 @ SV33 @ SV52 @ SV69 ) @ ( k1_zfmisc_1 @ SV33 ) )
= $true )
| ( ( m1_relset_1 @ SV52 @ SV5 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(355,plain,
! [SV60: $i,SV34: $i,SV6: $i,SV53: $i] :
( ( ( ~ ( m1_relset_1 @ SV53 @ SV6 @ SV34 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV60 @ SV6 ) )
= $true )
| ( ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SV34 @ SV53 @ SV60 ) @ ( k1_zfmisc_1 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(356,plain,
! [SV70: $i,SV55: $i,SV40: $i,SV15: $i] :
( ( ( ( k10_relset_1 @ SV15 @ SV40 @ SV55 @ SV70 )
= ( k9_relat_1 @ SV55 @ SV70 ) )
= $true )
| ( ( m1_relset_1 @ SV55 @ SV15 @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(357,plain,
! [SV41: $i,SV61: $i,SV56: $i,SV17: $i] :
( ( ( ( v1_xboole_0 @ SV17 )
| ~ ( m1_subset_1 @ SV56 @ ( k1_zfmisc_1 @ SV17 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV61 @ SV17 @ SV41 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SV56 @ SV61 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(358,plain,
! [SV20: $i,SV57: $i,SV44: $i] :
( ( ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV57 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV20 @ SV44 ) )
= $true )
| ( ( m1_subset_1 @ SV20 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(359,plain,
! [SV21: $i,SV58: $i,SV45: $i] :
( ( ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ SV58 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV21 @ SV45 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(360,plain,
! [SV24: $i,SV47: $i] :
( ( ( v1_xboole_0 @ SV47 )
= $false )
| ( ( SV24 = SV47 )
= $true )
| ( ( v1_xboole_0 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(361,plain,
! [SV64: $i,SV25: $i,SV71: $i] :
( ( ~ ( m1_relset_1 @ SV71 @ SV25 @ SV64 )
| ( m2_relset_1 @ SV71 @ SV25 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(362,plain,
! [SV65: $i,SV25: $i,SV72: $i] :
( ( ~ ( m2_relset_1 @ SV72 @ SV25 @ SV65 )
| ( m1_relset_1 @ SV72 @ SV25 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(363,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ! [SY160: $i,SY161: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY160 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY161 @ SV48 @ SV59 )
| ! [SY162: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY161 @ SY162 ) )
| ~ ( m1_subset_1 @ SY162 @ SV48 )
| ~ ( r2_hidden @ SY162 @ SY160 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY160 @ SY161 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(364,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ! [SY163: $i,SY164: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SY163 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY164 @ SV48 @ SV59 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SY163 @ SY164 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY164 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SY164 @ SY163 @ SV59 @ SV48 @ SV26 ) @ SY163 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(365,plain,
( ( v1_relat_1 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(366,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(367,plain,
! [SV66: $i,SV62: $i] :
( ( ( ~ ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SV66 ) ) )
= $true )
| ( ( r1_tarski @ SV62 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(368,plain,
! [SV67: $i,SV63: $i] :
( ( ( ~ ( r1_tarski @ SV63 @ SV67 ) )
= $true )
| ( ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(369,plain,
! [SV27: $i] :
( ( ( v1_xboole_0 @ ( sK9_B @ SV27 ) )
= $false )
| ( ( v1_xboole_0 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(370,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) )
= $true )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(371,plain,
! [SV28: $i,SV49: $i] :
( ( ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
| ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) )
= $true )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(372,plain,
( ( m2_relset_1 @ sK4_SY90 @ sK1_A @ sK2_SY85 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(373,plain,
( ( ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(374,plain,
! [SV51: $i,SV32: $i,SV4: $i,SV68: $i] :
( ( ( ~ ( m1_subset_1 @ SV68 @ SV4 ) )
= $true )
| ( ( ( k2_relset_2 @ SV4 @ SV32 @ SV51 @ SV68 )
= ( k10_relset_1 @ SV4 @ SV32 @ SV51 @ ( k1_tarski @ SV68 ) ) )
= $true )
| ( ( m2_relset_1 @ SV51 @ SV4 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(375,plain,
! [SV60: $i,SV34: $i,SV6: $i,SV53: $i] :
( ( ( m1_relset_1 @ SV53 @ SV6 @ SV34 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV60 @ SV6 ) )
= $true )
| ( ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SV34 @ SV53 @ SV60 ) @ ( k1_zfmisc_1 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(376,plain,
! [SV41: $i,SV61: $i,SV56: $i,SV17: $i] :
( ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV56 @ ( k1_zfmisc_1 @ SV17 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV61 @ SV17 @ SV41 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SV56 @ SV61 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(377,plain,
! [SV57: $i,SV44: $i,SV20: $i] :
( ( ( r2_hidden @ SV20 @ SV44 )
= $false )
| ( ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV57 ) )
= $false )
| ( ( m1_subset_1 @ SV20 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(378,plain,
! [SV58: $i,SV45: $i,SV21: $i] :
( ( ( r2_hidden @ SV21 @ SV45 )
= $false )
| ( ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ SV58 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(379,plain,
! [SV64: $i,SV25: $i,SV71: $i] :
( ( ( ~ ( m1_relset_1 @ SV71 @ SV25 @ SV64 ) )
= $true )
| ( ( m2_relset_1 @ SV71 @ SV25 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(380,plain,
! [SV65: $i,SV25: $i,SV72: $i] :
( ( ( ~ ( m2_relset_1 @ SV72 @ SV25 @ SV65 ) )
= $true )
| ( ( m1_relset_1 @ SV72 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(381,plain,
! [SV26: $i,SV59: $i,SV73: $i,SV48: $i] :
( ( ! [SY169: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY169 @ SV48 @ SV59 )
| ! [SY170: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY169 @ SY170 ) )
| ~ ( m1_subset_1 @ SY170 @ SV48 )
| ~ ( r2_hidden @ SY170 @ SV73 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SY169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(382,plain,
! [SV26: $i,SV59: $i,SV74: $i,SV48: $i] :
( ( ! [SY171: $i] :
( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SY171 @ SV48 @ SV59 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SY171 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SY171 @ ( sK11_F @ SY171 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SY171 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SY171 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(383,plain,
! [SV66: $i,SV62: $i] :
( ( ( m1_subset_1 @ SV62 @ ( k1_zfmisc_1 @ SV66 ) )
= $false )
| ( ( r1_tarski @ SV62 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(384,plain,
! [SV67: $i,SV63: $i] :
( ( ( r1_tarski @ SV63 @ SV67 )
= $false )
| ( ( m1_subset_1 @ SV63 @ ( k1_zfmisc_1 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(385,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) )
= $true )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(386,plain,
! [SV28: $i,SV49: $i] :
( ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
= $true )
| ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 )
= $true )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(387,plain,
( ( m1_subset_1 @ ( a_4_0_relset_2 @ sK1_A @ sK2_SY85 @ sK3_SY88 @ sK4_SY90 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SY85 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(388,plain,
! [SV51: $i,SV32: $i,SV4: $i,SV68: $i] :
( ( ( m1_subset_1 @ SV68 @ SV4 )
= $false )
| ( ( ( k2_relset_2 @ SV4 @ SV32 @ SV51 @ SV68 )
= ( k10_relset_1 @ SV4 @ SV32 @ SV51 @ ( k1_tarski @ SV68 ) ) )
= $true )
| ( ( m2_relset_1 @ SV51 @ SV4 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(389,plain,
! [SV34: $i,SV53: $i,SV6: $i,SV60: $i] :
( ( ( m1_subset_1 @ SV60 @ SV6 )
= $false )
| ( ( m1_relset_1 @ SV53 @ SV6 @ SV34 )
= $false )
| ( ( m1_subset_1 @ ( k2_relset_2 @ SV6 @ SV34 @ SV53 @ SV60 ) @ ( k1_zfmisc_1 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(390,plain,
! [SV41: $i,SV61: $i,SV17: $i,SV56: $i] :
( ( ( m1_subset_1 @ SV56 @ ( k1_zfmisc_1 @ SV17 ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( ~ ( m2_relset_1 @ SV61 @ SV17 @ SV41 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SV56 @ SV61 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(391,plain,
! [SV21: $i,SV45: $i,SV58: $i] :
( ( ( v1_xboole_0 @ SV58 )
= $false )
| ( ( m1_subset_1 @ SV45 @ ( k1_zfmisc_1 @ SV58 ) )
= $false )
| ( ( r2_hidden @ SV21 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(392,plain,
! [SV64: $i,SV25: $i,SV71: $i] :
( ( ( m1_relset_1 @ SV71 @ SV25 @ SV64 )
= $false )
| ( ( m2_relset_1 @ SV71 @ SV25 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(393,plain,
! [SV65: $i,SV25: $i,SV72: $i] :
( ( ( m2_relset_1 @ SV72 @ SV25 @ SV65 )
= $false )
| ( ( m1_relset_1 @ SV72 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(394,plain,
! [SV26: $i,SV59: $i,SV75: $i,SV73: $i,SV48: $i] :
( ( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
| ! [SY172: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SY172 ) )
| ~ ( m1_subset_1 @ SY172 @ SV48 )
| ~ ( r2_hidden @ SY172 @ SV73 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(395,plain,
! [SV26: $i,SV59: $i,SV76: $i,SV74: $i,SV48: $i] :
( ( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
| ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(396,plain,
! [SV28: $i,SV49: $i] :
( ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
= $false )
| ( ( ~ ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 ) )
= $true )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(397,plain,
! [SV56: $i,SV41: $i,SV17: $i,SV61: $i] :
( ( ( m2_relset_1 @ SV61 @ SV17 @ SV41 )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( m1_subset_1 @ SV56 @ ( k1_zfmisc_1 @ SV17 ) )
= $false )
| ( ( m1_subset_1 @ ( a_4_0_relset_2 @ SV17 @ SV41 @ SV56 @ SV61 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(398,plain,
! [SV26: $i,SV59: $i,SV75: $i,SV73: $i,SV48: $i] :
( ( ( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SV75 @ SV48 @ SV59 ) )
= $true )
| ( ( ! [SY172: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SY172 ) )
| ~ ( m1_subset_1 @ SY172 @ SV48 )
| ~ ( r2_hidden @ SY172 @ SV73 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(399,plain,
! [SV26: $i,SV59: $i,SV76: $i,SV74: $i,SV48: $i] :
( ( ( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
| ~ ( m2_relset_1 @ SV76 @ SV48 @ SV59 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(400,plain,
! [SV28: $i,SV49: $i] :
( ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV49 )
= $false )
| ( ( r2_hidden @ ( sK5_C @ SV49 @ SV28 ) @ SV28 )
= $false )
| ( ( SV28 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(401,plain,
! [SV26: $i,SV59: $i,SV75: $i,SV73: $i,SV48: $i] :
( ( ( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV75 @ SV48 @ SV59 ) )
= $true )
| ( ( ! [SY172: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SY172 ) )
| ~ ( m1_subset_1 @ SY172 @ SV48 )
| ~ ( r2_hidden @ SY172 @ SV73 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(402,plain,
! [SV26: $i,SV59: $i,SV76: $i,SV74: $i,SV48: $i] :
( ( ( ( v1_xboole_0 @ SV48 )
| ~ ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV76 @ SV48 @ SV59 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(403,plain,
! [SV26: $i,SV59: $i,SV75: $i,SV73: $i,SV48: $i] :
( ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV75 @ SV48 @ SV59 ) )
= $true )
| ( ( ! [SY172: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SY172 ) )
| ~ ( m1_subset_1 @ SY172 @ SV48 )
| ~ ( r2_hidden @ SY172 @ SV73 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(404,plain,
! [SV26: $i,SV59: $i,SV76: $i,SV74: $i,SV48: $i] :
( ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV76 @ SV48 @ SV59 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(405,plain,
! [SV26: $i,SV59: $i,SV75: $i,SV48: $i,SV73: $i] :
( ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( ~ ( m2_relset_1 @ SV75 @ SV48 @ SV59 ) )
= $true )
| ( ( ! [SY172: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SY172 ) )
| ~ ( m1_subset_1 @ SY172 @ SV48 )
| ~ ( r2_hidden @ SY172 @ SV73 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(406,plain,
! [SV26: $i,SV59: $i,SV76: $i,SV48: $i,SV74: $i] :
( ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( ~ ( m2_relset_1 @ SV76 @ SV48 @ SV59 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(407,plain,
! [SV26: $i,SV73: $i,SV59: $i,SV48: $i,SV75: $i] :
( ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( ! [SY172: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SY172 ) )
| ~ ( m1_subset_1 @ SY172 @ SV48 )
| ~ ( r2_hidden @ SY172 @ SV73 ) )
| ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(408,plain,
! [SV26: $i,SV74: $i,SV59: $i,SV48: $i,SV76: $i] :
( ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
| ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(409,plain,
! [SV73: $i,SV75: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ! [SY172: $i] :
( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SY172 ) )
| ~ ( m1_subset_1 @ SY172 @ SV48 )
| ~ ( r2_hidden @ SY172 @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(410,plain,
! [SV76: $i,SV74: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ~ ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(411,plain,
! [SV73: $i,SV77: $i,SV75: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SV77 ) )
| ~ ( m1_subset_1 @ SV77 @ SV48 )
| ~ ( r2_hidden @ SV77 @ SV73 ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(412,plain,
! [SV76: $i,SV74: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) ) )
= $true )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(413,plain,
! [SV73: $i,SV77: $i,SV75: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SV77 ) )
| ~ ( m1_subset_1 @ SV77 @ SV48 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV77 @ SV73 ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(414,plain,
! [SV74: $i,SV76: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
| ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) )
= $false )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(415,plain,
! [SV73: $i,SV77: $i,SV75: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SV77 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV77 @ SV48 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV77 @ SV73 ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(416,plain,
! [SV74: $i,SV76: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ~ ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) ) )
= $false )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(417,plain,
! [SV26: $i,SV48: $i,SV59: $i,SV74: $i,SV76: $i] :
( ( ( ~ ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 ) )
= $false )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(418,plain,
! [SV73: $i,SV77: $i,SV75: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( SV26
= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SV77 ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV77 @ SV48 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV77 @ SV73 ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(419,plain,
! [SV74: $i,SV76: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ~ ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(420,plain,
! [SV26: $i,SV48: $i,SV59: $i,SV74: $i,SV76: $i] :
( ( ( r2_hidden @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV74 )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(421,plain,
! [SV73: $i,SV75: $i,SV59: $i,SV26: $i,SV48: $i,SV77: $i] :
( ( ( m1_subset_1 @ SV77 @ SV48 )
= $false )
| ( ( SV26
= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SV77 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV77 @ SV73 ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(422,plain,
! [SV74: $i,SV76: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
| ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
= $false )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(423,plain,
! [SV75: $i,SV59: $i,SV48: $i,SV26: $i,SV73: $i,SV77: $i] :
( ( ( r2_hidden @ SV77 @ SV73 )
= $false )
| ( ( SV26
= ( k2_relset_2 @ SV48 @ SV59 @ SV75 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV77 @ SV48 )
= $false )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV73 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV75 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(424,plain,
! [SV74: $i,SV76: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( ( SV26
!= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) ) )
= $false )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(425,plain,
! [SV26: $i,SV48: $i,SV59: $i,SV74: $i,SV76: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 ) )
= $false )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(426,plain,
! [SV74: $i,SV76: $i,SV59: $i,SV48: $i,SV26: $i] :
( ( ( SV26
= ( k2_relset_2 @ SV48 @ SV59 @ SV76 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) ) )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(427,plain,
! [SV26: $i,SV48: $i,SV59: $i,SV74: $i,SV76: $i] :
( ( ( m1_subset_1 @ ( sK11_F @ SV76 @ SV74 @ SV59 @ SV48 @ SV26 ) @ SV48 )
= $true )
| ( ( r2_hidden @ SV26 @ ( a_4_0_relset_2 @ SV48 @ SV59 @ SV74 @ SV76 ) )
= $false )
| ( ( m1_subset_1 @ SV74 @ ( k1_zfmisc_1 @ SV48 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( m2_relset_1 @ SV76 @ SV48 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(428,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[130,427,426,423,420,400,397,393,392,391,389,388,387,386,384,383,377,372,369,366,365,360,356,354,347,337,334,331,330,326,325,323,322,312,306,295,288,285,284,283,282,279,277,276,273,260,229,228,227,226,225,205,196,189,137,136,135,134,132,131]) ).
thf(429,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 13:29:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 42
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.36 .
% 0.19/0.37 (rf:0,axioms:42,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:44,loop_count:0,foatp_calls:0,translation:fof_full).......................
% 0.19/0.54
% 0.19/0.54 ********************************
% 0.19/0.54 * All subproblems solved! *
% 0.19/0.54 ********************************
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:43,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:428,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.41/0.63
% 0.41/0.63 %**** Beginning of derivation protocol ****
% 0.41/0.63 % SZS output start CNFRefutation
% See solution above
% 0.41/0.63
% 0.41/0.63 %**** End of derivation protocol ****
% 0.41/0.63 %**** no. of clauses in derivation: 429 ****
% 0.41/0.63 %**** clause counter: 428 ****
% 0.41/0.63
% 0.41/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:43,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:428,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------