%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:44:24 AM UTC 2026
% Result : Theorem 0.78s 0.38s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 298 ( 199 unt; 0 typ; 0 def)
% Number of atoms : 1438 ( 401 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 2576 ( 595 ~; 288 |; 39 &;1597 @)
% ( 6 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 33 usr; 9 con; 0-4 aty)
% Number of variables : 565 ( 0 ^; 547 !; 18 ?; 565 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_4_1_relset_2,type,
a_4_1_relset_2: $i > $i > $i > $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k3_pua2mss1,type,
k3_pua2mss1: $i > $i ).
thf(tp_k4_relset_2,type,
k4_relset_2: $i > $i > $i > $i > $i ).
thf(tp_k5_relset_2,type,
k5_relset_2: $i > $i > $i ).
thf(tp_k6_relset_2,type,
k6_relset_2: $i > $i > $i > $i ).
thf(tp_k7_relset_2,type,
k7_relset_2: $i > $i > $i > $i > $i ).
thf(tp_k8_relset_2,type,
k8_relset_2: $i > $i > $i > $i > $i ).
thf(tp_k8_setfam_1,type,
k8_setfam_1: $i > $i > $i ).
thf(tp_k9_relat_1,type,
k9_relat_1: $i > $i > $i ).
thf(tp_m1_eqrel_1,type,
m1_eqrel_1: $i > $i > $o ).
thf(tp_m1_relset_1,type,
m1_relset_1: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_r1_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_sK10_SY75,type,
sK10_SY75: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SY80,type,
sK5_SY80: $i ).
thf(tp_sK6_SY66,type,
sK6_SY66: $i > $i ).
thf(tp_sK7_SY67,type,
sK7_SY67: $i > $i ).
thf(tp_sK8_SY77,type,
sK8_SY77: $i > $i > $i ).
thf(tp_sK9_SY86,type,
sK9_SY86: $i ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_funct_2,type,
v1_funct_2: $i > $i > $i > $o ).
thf(tp_v1_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(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 @ ( k1_zfmisc_1 @ A ) ) )
& ( m2_relset_1 @ D @ A @ B ) )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_38__relset_2) ).
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(17,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(18,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(20,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(21,axiom,
? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(23,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(26,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(28,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(29,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(32,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(33,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(34,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( m1_eqrel_1 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_eqrel_1) ).
thf(36,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relat_1) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( m1_subset_1 @ ( k8_setfam_1 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
thf(39,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relset_2) ).
thf(44,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(45,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(46,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(49,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(51,conjecture,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ! [D: $i] :
( ( m2_relset_1 @ D @ A @ B )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_relset_2) ).
thf(52,negated_conjecture,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ! [D: $i] :
( ( m2_relset_1 @ D @ A @ B )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[51]) ).
thf(53,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ! [D: $i] :
( ( m2_relset_1 @ D @ A @ B )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[52]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(56,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(57,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(58,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(59,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(60,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(61,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(62,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
& ( m2_relset_1 @ D @ A @ B ) )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(63,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(64,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(65,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(66,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)],[20]) ).
thf(67,plain,
( ( ? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(68,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)],[23]) ).
thf(69,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(71,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(72,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)],[32]) ).
thf(73,plain,
$true = $true,
inference(unfold_def,[status(thm)],[33]) ).
thf(74,plain,
$true = $true,
inference(unfold_def,[status(thm)],[34]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( m1_eqrel_1 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(76,plain,
$true = $true,
inference(unfold_def,[status(thm)],[36]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( m1_subset_1 @ ( k8_setfam_1 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(78,plain,
$true = $true,
inference(unfold_def,[status(thm)],[39]) ).
thf(79,plain,
$true = $true,
inference(unfold_def,[status(thm)],[44]) ).
thf(80,plain,
$true = $true,
inference(unfold_def,[status(thm)],[45]) ).
thf(81,plain,
$true = $true,
inference(unfold_def,[status(thm)],[46]) ).
thf(82,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(83,plain,
( ( ~ ( v1_xboole_0 @ sK1_A )
=> ! [SY50: $i,SY51: $i] :
( ( m1_subset_1 @ SY51 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
=> ! [SY52: $i] :
( ( m2_relset_1 @ SY52 @ sK1_A @ SY50 )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ SY50 @ SY51 @ SY52 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY50 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(84,plain,
( ( ~ ( v1_xboole_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[83]) ).
thf(85,plain,
( ( ! [SY50: $i,SY51: $i] :
( ( m1_subset_1 @ SY51 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
=> ! [SY52: $i] :
( ( m2_relset_1 @ SY52 @ sK1_A @ SY50 )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ SY50 @ SY51 @ SY52 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY50 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[83]) ).
thf(86,plain,
( ( ~ ! [SY50: $i,SY51: $i] :
( ( m1_subset_1 @ SY51 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
=> ! [SY52: $i] :
( ( m2_relset_1 @ SY52 @ sK1_A @ SY50 )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ SY50 @ SY51 @ SY52 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY50 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[85]) ).
thf(87,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(88,plain,
$true = $true,
inference(copy,[status(thm)],[81]) ).
thf(89,plain,
$true = $true,
inference(copy,[status(thm)],[80]) ).
thf(90,plain,
$true = $true,
inference(copy,[status(thm)],[79]) ).
thf(91,plain,
$true = $true,
inference(copy,[status(thm)],[78]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( m1_subset_1 @ ( k8_setfam_1 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(93,plain,
$true = $true,
inference(copy,[status(thm)],[76]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ( m1_eqrel_1 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(95,plain,
$true = $true,
inference(copy,[status(thm)],[74]) ).
thf(96,plain,
$true = $true,
inference(copy,[status(thm)],[73]) ).
thf(97,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)],[72]) ).
thf(98,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(99,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(100,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(101,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)],[68]) ).
thf(102,plain,
( ( ? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(103,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(104,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(105,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(107,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
& ( m2_relset_1 @ D @ A @ B ) )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(108,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(109,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(112,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(copy,[status(thm)],[57]) ).
thf(113,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(114,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(115,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(116,plain,
( ( ~ ( v1_xboole_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(117,plain,
( ( ~ ! [SY50: $i,SY51: $i] :
( ( m1_subset_1 @ SY51 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
=> ! [SY52: $i] :
( ( m2_relset_1 @ SY52 @ sK1_A @ SY50 )
=> ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ SY50 @ SY51 @ SY52 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY50 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(118,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(119,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ( m1_subset_1 @ ( k8_setfam_1 @ SX0 @ SX1 ) @ ( k1_zfmisc_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(120,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(121,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(122,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(123,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ~ ( v1_xboole_0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(124,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(125,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(126,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(127,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
| ! [SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ sK1_A @ SX0 )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ SX0 @ SX1 @ SX2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(128,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) )
| ~ ( m2_relset_1 @ SX3 @ SX0 @ SX1 ) )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(129,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(130,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( m1_subset_1 @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(131,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ SX1 )
| ( v1_xboole_0 @ SX1 )
| ( r2_hidden @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(132,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_eqrel_1 @ SX1 @ SX0 )
| ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(133,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(134,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ( m1_subset_1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(135,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_relset_1 @ SX2 @ SX0 @ SX1 ) )
| ~ ( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(136,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(137,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(138,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(139,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(140,plain,
! [SV1: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(141,plain,
( ( v1_xboole_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(142,plain,
! [SV2: $i] :
( ( ! [SY53: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV2 )
| ~ ( ( SV2 != SY53 ) ) )
| ~ ( v1_xboole_0 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(143,plain,
! [SV3: $i] :
( ( ! [SY54: $i] :
( ~ ( m1_subset_1 @ SY54 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV3 ) ) )
| ( m1_subset_1 @ ( k8_setfam_1 @ SV3 @ SY54 ) @ ( k1_zfmisc_1 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(144,plain,
! [SV4: $i] :
( ( ! [SY55: $i] :
~ ~ ( ~ ( r2_hidden @ SV4 @ SY55 )
| ~ ( v1_xboole_0 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(145,plain,
! [SV5: $i] :
( ( ! [SY56: $i] :
~ ! [SY57: $i] :
~ ( m2_relset_1 @ SY57 @ SV5 @ SY56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(146,plain,
! [SV6: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( m2_relset_1 @ SY59 @ SV6 @ SY58 )
| ( m1_subset_1 @ SY59 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SY58 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(147,plain,
! [SV7: $i] :
( ( ! [SY60: $i,SY61: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV7 @ SY60 )
| ~ ( m1_subset_1 @ SY60 @ ( k1_zfmisc_1 @ SY61 ) ) )
| ~ ( v1_xboole_0 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV8: $i] :
( ( ~ ( v1_xboole_0 @ SV8 )
| ( SV8 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV9: $i] :
( ( ~ ( v1_xboole_0 @ SV9 )
| ( v1_relat_1 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(150,plain,
! [SV10: $i] :
( ( ! [SY62: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SY62 ) )
| ( r1_tarski @ SV10 @ SY62 ) )
| ~ ( ~ ( r1_tarski @ SV10 @ SY62 )
| ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SY62 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(151,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
| ! [SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ sK1_A @ SX0 )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ SX0 @ SX1 @ SX2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(152,plain,
! [SV11: $i] :
( ( ! [SY63: $i,SY64: $i,SY65: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SY64 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
| ~ ( m2_relset_1 @ SY65 @ SV11 @ SY63 ) )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SY63 @ SY64 @ SY65 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SY63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(153,plain,
! [SV12: $i] :
( ( ~ ! [SY66: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY66 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( v1_xboole_0 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(154,plain,
! [SV13: $i] :
( ( ~ ! [SY67: $i] :
~ ( m1_subset_1 @ SY67 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV14: $i] :
( ( ! [SY68: $i] :
( ~ ( m1_subset_1 @ SV14 @ SY68 )
| ( v1_xboole_0 @ SY68 )
| ( r2_hidden @ SV14 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(156,plain,
! [SV15: $i] :
( ( ! [SY69: $i] :
( ~ ( m1_eqrel_1 @ SY69 @ SV15 )
| ( m1_subset_1 @ SY69 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(157,plain,
! [SV16: $i] :
( ( ! [SY70: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV16 )
| ~ ~ ( v1_xboole_0 @ SY70 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SY70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(158,plain,
! [SV17: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV17 @ SY71 )
| ~ ( m1_subset_1 @ SY71 @ ( k1_zfmisc_1 @ SY72 ) ) )
| ( m1_subset_1 @ SV17 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(159,plain,
! [SV18: $i] :
( ( ! [SY73: $i,SY74: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SY74 @ SV18 @ SY73 )
| ( m1_relset_1 @ SY74 @ SV18 @ SY73 ) )
| ~ ( ~ ( m1_relset_1 @ SY74 @ SV18 @ SY73 )
| ( m2_relset_1 @ SY74 @ SV18 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(160,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(161,plain,
! [SV19: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV19 )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(162,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(163,plain,
! [SV20: $i] :
( ( ! [SY76: $i] :
( ~ ( r2_hidden @ SV20 @ SY76 )
| ( m1_subset_1 @ SV20 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(164,plain,
! [SV1: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(165,plain,
! [SV21: $i,SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV2 )
| ~ ( ( SV2 != SV21 ) ) )
| ~ ( v1_xboole_0 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(166,plain,
! [SV3: $i,SV22: $i] :
( ( ~ ( m1_subset_1 @ SV22 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV3 ) ) )
| ( m1_subset_1 @ ( k8_setfam_1 @ SV3 @ SV22 ) @ ( k1_zfmisc_1 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(167,plain,
! [SV23: $i,SV4: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV4 @ SV23 )
| ~ ( v1_xboole_0 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(168,plain,
! [SV24: $i,SV5: $i] :
( ( ~ ! [SY77: $i] :
~ ( m2_relset_1 @ SY77 @ SV5 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(169,plain,
! [SV25: $i,SV6: $i] :
( ( ! [SY78: $i] :
( ~ ( m2_relset_1 @ SY78 @ SV6 @ SV25 )
| ( m1_subset_1 @ SY78 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV26: $i,SV7: $i] :
( ( ! [SY79: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV7 @ SV26 )
| ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SY79 ) ) )
| ~ ( v1_xboole_0 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(171,plain,
! [SV8: $i] :
( ( ( ~ ( v1_xboole_0 @ SV8 ) )
= $true )
| ( ( SV8 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(172,plain,
! [SV9: $i] :
( ( ( ~ ( v1_xboole_0 @ SV9 ) )
= $true )
| ( ( v1_relat_1 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(173,plain,
! [SV27: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) )
| ( r1_tarski @ SV10 @ SV27 ) )
| ~ ( ~ ( r1_tarski @ SV10 @ SV27 )
| ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(174,plain,
( ( ! [SY80: $i] :
( ~ ( m1_subset_1 @ SY80 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
| ! [SY81: $i] :
( ~ ( m2_relset_1 @ SY81 @ sK1_A @ sK2_SX0 )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ sK2_SX0 @ SY80 @ SY81 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(175,plain,
! [SV28: $i,SV11: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SY82 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
| ~ ( m2_relset_1 @ SY83 @ SV11 @ SV28 ) )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SY82 @ SY83 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(176,plain,
! [SV12: $i] :
( ( ! [SY66: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY66 @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( v1_xboole_0 @ SY66 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(177,plain,
! [SV13: $i] :
( ( ! [SY67: $i] :
~ ( m1_subset_1 @ SY67 @ SV13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(178,plain,
! [SV29: $i,SV14: $i] :
( ( ~ ( m1_subset_1 @ SV14 @ SV29 )
| ( v1_xboole_0 @ SV29 )
| ( r2_hidden @ SV14 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(179,plain,
! [SV15: $i,SV30: $i] :
( ( ~ ( m1_eqrel_1 @ SV30 @ SV15 )
| ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(180,plain,
! [SV31: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV16 )
| ~ ~ ( v1_xboole_0 @ SV31 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(181,plain,
! [SV32: $i,SV17: $i] :
( ( ! [SY84: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV17 @ SV32 )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SY84 ) ) )
| ( m1_subset_1 @ SV17 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(182,plain,
! [SV33: $i,SV18: $i] :
( ( ! [SY85: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SY85 @ SV18 @ SV33 )
| ( m1_relset_1 @ SY85 @ SV18 @ SV33 ) )
| ~ ( ~ ( m1_relset_1 @ SY85 @ SV18 @ SV33 )
| ( m2_relset_1 @ SY85 @ SV18 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(183,plain,
( ( ~ ~ ( ~ ( v1_xboole_0 @ sK3_SX0 )
| ~ ( v1_relat_1 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[160]) ).
thf(184,plain,
! [SV19: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV19 ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ SY75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(185,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_relat_1 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[162]) ).
thf(186,plain,
! [SV34: $i,SV20: $i] :
( ( ~ ( r2_hidden @ SV20 @ SV34 )
| ( m1_subset_1 @ SV20 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(187,plain,
! [SV21: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV2 )
| ~ ( ( SV2 != SV21 ) ) )
| ~ ( v1_xboole_0 @ SV21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(188,plain,
! [SV3: $i,SV22: $i] :
( ( ( ~ ( m1_subset_1 @ SV22 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV3 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k8_setfam_1 @ SV3 @ SV22 ) @ ( k1_zfmisc_1 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(189,plain,
! [SV23: $i,SV4: $i] :
( ( ~ ( ~ ( r2_hidden @ SV4 @ SV23 )
| ~ ( v1_xboole_0 @ SV23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(190,plain,
! [SV24: $i,SV5: $i] :
( ( ! [SY77: $i] :
~ ( m2_relset_1 @ SY77 @ SV5 @ SV24 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(191,plain,
! [SV25: $i,SV6: $i,SV35: $i] :
( ( ~ ( m2_relset_1 @ SV35 @ SV6 @ SV25 )
| ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(192,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV7 @ SV26 )
| ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) )
| ~ ( v1_xboole_0 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(193,plain,
! [SV8: $i] :
( ( ( v1_xboole_0 @ SV8 )
= $false )
| ( ( SV8 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(194,plain,
! [SV9: $i] :
( ( ( v1_xboole_0 @ SV9 )
= $false )
| ( ( v1_relat_1 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(195,plain,
! [SV27: $i,SV10: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) )
| ( r1_tarski @ SV10 @ SV27 ) )
| ~ ( ~ ( r1_tarski @ SV10 @ SV27 )
| ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(196,plain,
( ( ~ ( m1_subset_1 @ sK5_SY80 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
| ! [SY86: $i] :
( ~ ( m2_relset_1 @ SY86 @ sK1_A @ sK2_SX0 )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ sK2_SX0 @ sK5_SY80 @ SY86 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SX0 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(197,plain,
! [SV28: $i,SV37: $i,SV11: $i] :
( ( ! [SY87: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
| ~ ( m2_relset_1 @ SY87 @ SV11 @ SV28 ) )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SY87 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(198,plain,
! [SV12: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK6_SY66 @ SV12 ) @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( v1_xboole_0 @ ( sK6_SY66 @ SV12 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[176]) ).
thf(199,plain,
! [SV13: $i] :
( ( ~ ( m1_subset_1 @ ( sK7_SY67 @ SV13 ) @ SV13 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[177]) ).
thf(200,plain,
! [SV29: $i,SV14: $i] :
( ( ( ~ ( m1_subset_1 @ SV14 @ SV29 ) )
= $true )
| ( ( ( v1_xboole_0 @ SV29 )
| ( r2_hidden @ SV14 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(201,plain,
! [SV15: $i,SV30: $i] :
( ( ( ~ ( m1_eqrel_1 @ SV30 @ SV15 ) )
= $true )
| ( ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(202,plain,
! [SV31: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV16 )
| ~ ~ ( v1_xboole_0 @ SV31 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(203,plain,
! [SV38: $i,SV32: $i,SV17: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV17 @ SV32 )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV38 ) ) )
| ( m1_subset_1 @ SV17 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(204,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ~ ( ~ ( ~ ( m2_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m1_relset_1 @ SV39 @ SV18 @ SV33 ) )
| ~ ( ~ ( m1_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m2_relset_1 @ SV39 @ SV18 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(205,plain,
( ( ~ ( ~ ( v1_xboole_0 @ sK3_SX0 )
| ~ ( v1_relat_1 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(206,plain,
! [SV19: $i] :
( ( ( ~ ( v1_xboole_0 @ SV19 ) )
= $false )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ SY75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(207,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_relat_1 @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(208,plain,
! [SV34: $i,SV20: $i] :
( ( ( ~ ( r2_hidden @ SV20 @ SV34 ) )
= $true )
| ( ( m1_subset_1 @ SV20 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(209,plain,
! [SV21: $i,SV2: $i] :
( ( ~ ~ ( ~ ( v1_xboole_0 @ SV2 )
| ~ ( ( SV2 != SV21 ) ) )
| ~ ( v1_xboole_0 @ SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(210,plain,
! [SV3: $i,SV22: $i] :
( ( ( m1_subset_1 @ SV22 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV3 ) ) )
= $false )
| ( ( m1_subset_1 @ ( k8_setfam_1 @ SV3 @ SV22 ) @ ( k1_zfmisc_1 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(211,plain,
! [SV23: $i,SV4: $i] :
( ( ~ ( r2_hidden @ SV4 @ SV23 )
| ~ ( v1_xboole_0 @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(212,plain,
! [SV5: $i,SV24: $i] :
( ( ~ ( m2_relset_1 @ ( sK8_SY77 @ SV24 @ SV5 ) @ SV5 @ SV24 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[190]) ).
thf(213,plain,
! [SV25: $i,SV6: $i,SV35: $i] :
( ( ( ~ ( m2_relset_1 @ SV35 @ SV6 @ SV25 ) )
= $true )
| ( ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(214,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV7 @ SV26 )
| ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) )
| ~ ( v1_xboole_0 @ SV36 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(215,plain,
! [SV27: $i,SV10: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) )
| ( r1_tarski @ SV10 @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(216,plain,
! [SV27: $i,SV10: $i] :
( ( ~ ( ~ ( r1_tarski @ SV10 @ SV27 )
| ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(217,plain,
( ( ~ ( m1_subset_1 @ sK5_SY80 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(218,plain,
( ( ! [SY86: $i] :
( ~ ( m2_relset_1 @ SY86 @ sK1_A @ sK2_SX0 )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ sK2_SX0 @ sK5_SY80 @ SY86 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(219,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
| ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(220,plain,
! [SV12: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK6_SY66 @ SV12 ) @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( v1_xboole_0 @ ( sK6_SY66 @ SV12 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(221,plain,
! [SV13: $i] :
( ( m1_subset_1 @ ( sK7_SY67 @ SV13 ) @ SV13 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(222,plain,
! [SV29: $i,SV14: $i] :
( ( ( m1_subset_1 @ SV14 @ SV29 )
= $false )
| ( ( ( v1_xboole_0 @ SV29 )
| ( r2_hidden @ SV14 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(223,plain,
! [SV15: $i,SV30: $i] :
( ( ( m1_eqrel_1 @ SV30 @ SV15 )
= $false )
| ( ( m1_subset_1 @ SV30 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(224,plain,
! [SV31: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV16 )
| ~ ~ ( v1_xboole_0 @ SV31 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(225,plain,
! [SV38: $i,SV32: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV17 @ SV32 )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV38 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV17 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(226,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ~ ( ~ ( m2_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m1_relset_1 @ SV39 @ SV18 @ SV33 ) )
| ~ ( ~ ( m1_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m2_relset_1 @ SV39 @ SV18 @ SV33 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(227,plain,
( ( ~ ( v1_xboole_0 @ sK3_SX0 )
| ~ ( v1_relat_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(228,plain,
! [SV19: $i] :
( ( ( v1_xboole_0 @ SV19 )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ SY75 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(229,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_relat_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(230,plain,
! [SV34: $i,SV20: $i] :
( ( ( r2_hidden @ SV20 @ SV34 )
= $false )
| ( ( m1_subset_1 @ SV20 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(231,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( v1_xboole_0 @ SV2 )
| ~ ( ( SV2 != SV21 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(232,plain,
! [SV23: $i,SV4: $i] :
( ( ( ~ ( r2_hidden @ SV4 @ SV23 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(233,plain,
! [SV5: $i,SV24: $i] :
( ( m2_relset_1 @ ( sK8_SY77 @ SV24 @ SV5 ) @ SV5 @ SV24 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(234,plain,
! [SV25: $i,SV6: $i,SV35: $i] :
( ( ( m2_relset_1 @ SV35 @ SV6 @ SV25 )
= $false )
| ( ( m1_subset_1 @ SV35 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(235,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV7 @ SV26 )
| ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) )
| ~ ( v1_xboole_0 @ SV36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(236,plain,
! [SV27: $i,SV10: $i] :
( ( ~ ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) )
| ( r1_tarski @ SV10 @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(237,plain,
! [SV27: $i,SV10: $i] :
( ( ~ ( r1_tarski @ SV10 @ SV27 )
| ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(238,plain,
( ( m1_subset_1 @ sK5_SY80 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(239,plain,
( ( ~ ( m2_relset_1 @ sK9_SY86 @ sK1_A @ sK2_SX0 )
| ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ sK2_SX0 @ sK5_SY80 @ sK9_SY86 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(240,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
| ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(241,plain,
! [SV12: $i] :
( ( ~ ( m1_subset_1 @ ( sK6_SY66 @ SV12 ) @ ( k1_zfmisc_1 @ SV12 ) )
| ~ ( v1_xboole_0 @ ( sK6_SY66 @ SV12 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(242,plain,
! [SV14: $i,SV29: $i] :
( ( ( v1_xboole_0 @ SV29 )
= $true )
| ( ( r2_hidden @ SV14 @ SV29 )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(243,plain,
! [SV31: $i,SV16: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV16 )
| ~ ~ ( v1_xboole_0 @ SV31 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(244,plain,
! [SV38: $i,SV32: $i,SV17: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV17 @ SV32 )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV38 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV17 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(245,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ~ ( ~ ( m2_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m1_relset_1 @ SV39 @ SV18 @ SV33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(246,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ~ ( ~ ( m1_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m2_relset_1 @ SV39 @ SV18 @ SV33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(247,plain,
( ( ~ ( v1_xboole_0 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(248,plain,
( ( ~ ( v1_relat_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(249,plain,
! [SV19: $i] :
( ( ( ! [SY75: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY75 @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ SY75 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(250,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(251,plain,
( ( ~ ( v1_relat_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(252,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV2 )
| ~ ( ( SV2 != SV21 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(253,plain,
! [SV23: $i,SV4: $i] :
( ( ( r2_hidden @ SV4 @ SV23 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(254,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV7 @ SV26 )
| ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(255,plain,
! [SV27: $i,SV10: $i] :
( ( ( ~ ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) ) )
= $true )
| ( ( r1_tarski @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(256,plain,
! [SV27: $i,SV10: $i] :
( ( ( ~ ( r1_tarski @ SV10 @ SV27 ) )
= $true )
| ( ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(257,plain,
( ( ~ ( m2_relset_1 @ sK9_SY86 @ sK1_A @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(258,plain,
( ( m1_subset_1 @ ( a_4_1_relset_2 @ sK1_A @ sK2_SX0 @ sK5_SY80 @ sK9_SY86 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(259,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
| ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) ) )
= $false )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(260,plain,
! [SV12: $i] :
( ( ~ ( m1_subset_1 @ ( sK6_SY66 @ SV12 ) @ ( k1_zfmisc_1 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(261,plain,
! [SV12: $i] :
( ( ~ ( v1_xboole_0 @ ( sK6_SY66 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(262,plain,
! [SV31: $i,SV16: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV16 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV31 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(263,plain,
! [SV38: $i,SV32: $i,SV17: $i] :
( ( ( ~ ( r2_hidden @ SV17 @ SV32 )
| ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV38 ) ) )
= $true )
| ( ( m1_subset_1 @ SV17 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(264,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ~ ( m2_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m1_relset_1 @ SV39 @ SV18 @ SV33 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(265,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ~ ( m1_relset_1 @ SV39 @ SV18 @ SV33 )
| ( m2_relset_1 @ SV39 @ SV18 @ SV33 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(266,plain,
( ( v1_xboole_0 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(267,plain,
( ( v1_relat_1 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(268,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK10_SY75 @ SV19 ) @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ ( sK10_SY75 @ SV19 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[249]) ).
thf(269,plain,
( ( ~ ( v1_xboole_0 @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(270,plain,
( ( v1_relat_1 @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(271,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ( v1_xboole_0 @ SV2 )
| ~ ( ( SV2 != SV21 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(272,plain,
! [SV4: $i,SV23: $i] :
( ( ( v1_xboole_0 @ SV23 )
= $false )
| ( ( r2_hidden @ SV4 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(273,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV7 @ SV26 )
| ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(274,plain,
! [SV27: $i,SV10: $i] :
( ( ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) )
= $false )
| ( ( r1_tarski @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(275,plain,
! [SV27: $i,SV10: $i] :
( ( ( r1_tarski @ SV10 @ SV27 )
= $false )
| ( ( m1_subset_1 @ SV10 @ ( k1_zfmisc_1 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(276,plain,
( ( m2_relset_1 @ sK9_SY86 @ sK1_A @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(277,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
| ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(278,plain,
! [SV12: $i] :
( ( m1_subset_1 @ ( sK6_SY66 @ SV12 ) @ ( k1_zfmisc_1 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(279,plain,
! [SV12: $i] :
( ( v1_xboole_0 @ ( sK6_SY66 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(280,plain,
! [SV31: $i,SV16: $i] :
( ( ( ~ ( v1_xboole_0 @ SV16 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV31 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(281,plain,
! [SV38: $i,SV32: $i,SV17: $i] :
( ( ( ~ ( r2_hidden @ SV17 @ SV32 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV38 ) ) )
= $true )
| ( ( m1_subset_1 @ SV17 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(282,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ( ~ ( m2_relset_1 @ SV39 @ SV18 @ SV33 ) )
= $true )
| ( ( m1_relset_1 @ SV39 @ SV18 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(283,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ( ~ ( m1_relset_1 @ SV39 @ SV18 @ SV33 ) )
= $true )
| ( ( m2_relset_1 @ SV39 @ SV18 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(284,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK10_SY75 @ SV19 ) @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ ( sK10_SY75 @ SV19 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(285,plain,
( ( v1_xboole_0 @ sK4_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(286,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ( v1_xboole_0 @ SV2 ) )
= $true )
| ( ( ~ ( ( SV2 != SV21 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(287,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( ~ ( r2_hidden @ SV7 @ SV26 )
| ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(288,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(289,plain,
! [SV31: $i,SV16: $i] :
( ( ( v1_xboole_0 @ SV16 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV31 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(290,plain,
! [SV38: $i,SV32: $i,SV17: $i] :
( ( ( r2_hidden @ SV17 @ SV32 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV38 ) ) )
= $true )
| ( ( m1_subset_1 @ SV17 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(291,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ( m2_relset_1 @ SV39 @ SV18 @ SV33 )
= $false )
| ( ( m1_relset_1 @ SV39 @ SV18 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(292,plain,
! [SV33: $i,SV18: $i,SV39: $i] :
( ( ( m1_relset_1 @ SV39 @ SV18 @ SV33 )
= $false )
| ( ( m2_relset_1 @ SV39 @ SV18 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(293,plain,
! [SV19: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK10_SY75 @ SV19 ) @ ( k1_zfmisc_1 @ SV19 ) )
| ~ ~ ( v1_xboole_0 @ ( sK10_SY75 @ SV19 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(294,plain,
! [SV21: $i,SV2: $i] :
( ( ( v1_xboole_0 @ SV2 )
= $false )
| ( ( ~ ( ( SV2 != SV21 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(295,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( ~ ( r2_hidden @ SV7 @ SV26 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(296,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) ) )
= $false )
| ( ( ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(297,plain,
! [SV16: $i,SV31: $i] :
( ( ( ~ ( v1_xboole_0 @ SV31 ) )
= $false )
| ( ( v1_xboole_0 @ SV16 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(298,plain,
! [SV17: $i,SV38: $i,SV32: $i] :
( ( ( m1_subset_1 @ SV32 @ ( k1_zfmisc_1 @ SV38 ) )
= $false )
| ( ( r2_hidden @ SV17 @ SV32 )
= $false )
| ( ( m1_subset_1 @ SV17 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(299,plain,
! [SV19: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK10_SY75 @ SV19 ) @ ( k1_zfmisc_1 @ SV19 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(300,plain,
! [SV19: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK10_SY75 @ SV19 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(301,plain,
! [SV21: $i,SV2: $i] :
( ( ( SV2 != SV21 )
= $false )
| ( ( v1_xboole_0 @ SV2 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(302,plain,
! [SV36: $i,SV26: $i,SV7: $i] :
( ( ( r2_hidden @ SV7 @ SV26 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(303,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV11 )
| ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(304,plain,
! [SV16: $i,SV31: $i] :
( ( ( v1_xboole_0 @ SV31 )
= $true )
| ( ( v1_xboole_0 @ SV16 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(305,plain,
! [SV19: $i] :
( ( ( m1_subset_1 @ ( sK10_SY75 @ SV19 ) @ ( k1_zfmisc_1 @ SV19 ) )
= $true )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(306,plain,
! [SV19: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK10_SY75 @ SV19 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(307,plain,
! [SV21: $i,SV2: $i] :
( ( ( SV2 = SV21 )
= $true )
| ( ( v1_xboole_0 @ SV2 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(308,plain,
! [SV7: $i,SV36: $i,SV26: $i] :
( ( ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) )
= $false )
| ( ( r2_hidden @ SV7 @ SV26 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(309,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV11 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(310,plain,
! [SV31: $i,SV16: $i] :
( ( ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV16 @ SV31 ) )
= $false )
| ( ( v1_xboole_0 @ SV16 )
= $true )
| ( ( v1_xboole_0 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(311,plain,
! [SV19: $i] :
( ( ( v1_xboole_0 @ ( sK10_SY75 @ SV19 ) )
= $false )
| ( ( v1_xboole_0 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(312,plain,
! [SV2: $i,SV21: $i] :
( ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( v1_xboole_0 @ SV2 )
= $false )
| ( ( SV2 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(313,plain,
! [SV26: $i,SV7: $i,SV36: $i] :
( ( ( v1_xboole_0 @ SV36 )
= $false )
| ( ( r2_hidden @ SV7 @ SV26 )
= $false )
| ( ( m1_subset_1 @ SV26 @ ( k1_zfmisc_1 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(314,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( ~ ( v1_xboole_0 @ SV11 ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(315,plain,
! [SV28: $i,SV40: $i,SV37: $i,SV11: $i] :
( ( ( v1_xboole_0 @ SV11 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(316,plain,
! [SV28: $i,SV40: $i,SV11: $i,SV37: $i] :
( ( ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV11 )
= $true )
| ( ( ~ ( m2_relset_1 @ SV40 @ SV11 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(317,plain,
! [SV37: $i,SV28: $i,SV11: $i,SV40: $i] :
( ( ( m2_relset_1 @ SV40 @ SV11 @ SV28 )
= $false )
| ( ( v1_xboole_0 @ SV11 )
= $true )
| ( ( m1_subset_1 @ SV37 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV11 ) ) )
= $false )
| ( ( m1_subset_1 @ ( a_4_1_relset_2 @ SV11 @ SV28 @ SV37 @ SV40 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(318,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[88,317,313,312,311,310,305,298,292,291,285,279,278,276,275,274,272,270,267,266,258,242,238,234,233,230,223,221,210,194,193,164,141,96,95,93,91,90,89]) ).
thf(319,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 15:23:09 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.38
% 0.78/0.38 No.of.Axioms: 29
% 0.78/0.38
% 0.78/0.38 Length.of.Defs: 0
% 0.78/0.38
% 0.78/0.38 Contains.Choice.Funs: false
% 0.78/0.38 .......
% 0.78/0.38
% 0.78/0.38 ********************************
% 0.78/0.38 * All subproblems solved! *
% 0.78/0.38 ********************************
% 0.78/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:318,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.78/0.38
% 0.78/0.38 %**** Beginning of derivation protocol ****
% 0.78/0.38 % SZS output start CNFRefutation
% See solution above
% 0.78/0.38
% 0.78/0.38 %**** End of derivation protocol ****
% 0.78/0.38 %**** no. of clauses in derivation: 298 ****
% 0.78/0.38 %**** clause counter: 318 ****
% 0.78/0.38
% 0.78/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:318,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------