TSTP Solution File: SEU413+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:11:39 EDT 2022
% Result : Theorem 2.32s 2.55s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 74
% Syntax : Number of formulae : 425 ( 264 unt; 32 typ; 0 def)
% Number of atoms : 2254 ( 652 equ; 0 cnn)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 4860 ( 737 ~; 615 |; 70 &;3362 @)
% ( 6 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 11 con; 0-3 aty)
% Number of variables : 814 ( 0 ^ 800 !; 14 ?; 814 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g1_orders_2,type,
g1_orders_2: $i > $i > $i ).
thf(tp_k1_latsum_1,type,
k1_latsum_1: $i > $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k3_xboole_0,type,
k3_xboole_0: $i > $i > $i ).
thf(tp_k4_tarski,type,
k4_tarski: $i > $i > $i ).
thf(tp_l1_orders_2,type,
l1_orders_2: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $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_orders_2,type,
r1_orders_2: $i > $i > $i > $o ).
thf(tp_r1_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_sK10_A,type,
sK10_A: $i ).
thf(tp_sK11_A,type,
sK11_A: $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY69,type,
sK2_SY69: $i ).
thf(tp_sK3_SY72,type,
sK3_SY72: $i ).
thf(tp_sK4_SY74,type,
sK4_SY74: $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_C,type,
sK7_C: $i > $i > $i ).
thf(tp_sK8_B,type,
sK8_B: $i > $i ).
thf(tp_sK9_C,type,
sK9_C: $i > $i > $i ).
thf(tp_u1_orders_2,type,
u1_orders_2: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_v12_waybel_0,type,
v12_waybel_0: $i > $i > $o ).
thf(tp_v1_orders_2,type,
v1_orders_2: $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(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] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
thf(8,axiom,
! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
thf(9,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i,D: $i] :
( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( r2_hidden @ ( k4_tarski @ C @ D ) @ ( u1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsum_1) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
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] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(14,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ! [C: $i,D: $i] :
( ( ( g1_orders_2 @ A @ B )
= ( g1_orders_2 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
thf(17,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(18,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(19,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(20,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(21,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(22,axiom,
? [A: $i] : ( l1_orders_2 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(23,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(24,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( m2_relset_1 @ ( u1_orders_2 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
thf(25,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(26,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(27,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(28,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(29,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(30,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tarski) ).
thf(31,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_xboole_0) ).
thf(32,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(33,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(34,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ( ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) )
& ( l1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ A @ B ) )
& ( l1_orders_2 @ ( g1_orders_2 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_orders_2) ).
thf(37,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r1_orders_2 @ A @ B @ C )
<=> ( r2_hidden @ ( k4_tarski @ B @ C ) @ ( u1_orders_2 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ B )
= ( k3_xboole_0 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(41,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_orders_2 @ A )
=> ( A
= ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
thf(42,conjecture,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ A @ B ) @ C @ D )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_latsum_1) ).
thf(43,negated_conjecture,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ A @ B ) @ C @ D )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[42]) ).
thf(44,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ A @ B ) @ C @ D )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[43]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(47,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(48,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(49,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(50,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(51,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(52,plain,
( ( ! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(53,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i,D: $i] :
( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
& ( r2_hidden @ ( k4_tarski @ C @ D ) @ ( u1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(56,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(57,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(58,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ! [C: $i,D: $i] :
( ( ( g1_orders_2 @ A @ B )
= ( g1_orders_2 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(61,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(63,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(64,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(65,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(66,plain,
( ( ? [A: $i] : ( l1_orders_2 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(67,plain,
$true = $true,
inference(unfold_def,[status(thm)],[23]) ).
thf(68,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ( m2_relset_1 @ ( u1_orders_2 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(69,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)],[25]) ).
thf(70,plain,
$true = $true,
inference(unfold_def,[status(thm)],[26]) ).
thf(71,plain,
$true = $true,
inference(unfold_def,[status(thm)],[27]) ).
thf(72,plain,
$true = $true,
inference(unfold_def,[status(thm)],[28]) ).
thf(73,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(74,plain,
$true = $true,
inference(unfold_def,[status(thm)],[30]) ).
thf(75,plain,
$true = $true,
inference(unfold_def,[status(thm)],[31]) ).
thf(76,plain,
$true = $true,
inference(unfold_def,[status(thm)],[32]) ).
thf(77,plain,
$true = $true,
inference(unfold_def,[status(thm)],[33]) ).
thf(78,plain,
$true = $true,
inference(unfold_def,[status(thm)],[34]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ( ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) )
& ( l1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( m1_relset_1 @ B @ A @ A )
=> ( ( v1_orders_2 @ ( g1_orders_2 @ A @ B ) )
& ( l1_orders_2 @ ( g1_orders_2 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(81,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r1_orders_2 @ A @ B @ C )
<=> ( r2_hidden @ ( k4_tarski @ B @ C ) @ ( u1_orders_2 @ A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ B )
= ( k3_xboole_0 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(83,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(85,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_orders_2 @ A )
=> ( A
= ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(86,plain,
( ( ( l1_orders_2 @ sK1_A )
=> ! [SY69: $i] :
( ( l1_orders_2 @ SY69 )
=> ! [SY70: $i] :
( ( m1_subset_1 @ SY70 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY69 ) ) )
=> ! [SY71: $i] :
( ( m1_subset_1 @ SY71 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY69 ) ) )
=> ( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY69 ) ) @ SY69 )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SY69 ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ SY69 ) @ SY70 @ SY71 )
& ( r2_hidden @ SY71 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( r2_hidden @ SY70 @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(87,plain,
( ( l1_orders_2 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[86]) ).
thf(88,plain,
( ( ! [SY69: $i] :
( ( l1_orders_2 @ SY69 )
=> ! [SY70: $i] :
( ( m1_subset_1 @ SY70 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY69 ) ) )
=> ! [SY71: $i] :
( ( m1_subset_1 @ SY71 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY69 ) ) )
=> ( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY69 ) ) @ SY69 )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SY69 ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ SY69 ) @ SY70 @ SY71 )
& ( r2_hidden @ SY71 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( r2_hidden @ SY70 @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[86]) ).
thf(89,plain,
( ( ~ ! [SY69: $i] :
( ( l1_orders_2 @ SY69 )
=> ! [SY70: $i] :
( ( m1_subset_1 @ SY70 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY69 ) ) )
=> ! [SY71: $i] :
( ( m1_subset_1 @ SY71 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY69 ) ) )
=> ( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY69 ) ) @ SY69 )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SY69 ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ SY69 ) @ SY70 @ SY71 )
& ( r2_hidden @ SY71 @ ( u1_struct_0 @ sK1_A ) ) )
=> ( r2_hidden @ SY70 @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[88]) ).
thf(90,plain,
( ( ( l1_orders_2 @ sK2_SY69 )
& ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
& ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
& ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 )
& ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 )
& ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) )
& ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(93,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(94,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)],[48]) ).
thf(95,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)],[49]) ).
thf(96,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)],[50]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(98,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ! [B: $i] :
( ~ ( l1_orders_2 @ B )
| ! [C: $i] :
( ! [D: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
| ~ ( r2_hidden @ ( k4_tarski @ C @ D ) @ ( u1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) )
| ~ ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
| ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(99,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(100,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(101,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)],[56]) ).
thf(102,plain,
( ( ~ ( v1_xboole_0 @ sK5_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(103,plain,
( ( v1_xboole_0 @ sK6_A )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(104,plain,
( ( ! [A: $i] :
( ( k3_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(105,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( ! [C: $i] :
( ! [D: $i] :
( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( A = C ) )
& ! [C: $i,D: $i] :
( ( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( B = D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(106,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK7_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(107,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK8_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(108,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK9_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(109,plain,
( ( l1_struct_0 @ sK10_A )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(110,plain,
( ( l1_orders_2 @ sK11_A )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(111,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ( m2_relset_1 @ ( u1_orders_2 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(112,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)],[69]) ).
thf(113,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(114,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ( l1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(115,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( l1_orders_2 @ ( g1_orders_2 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( v1_orders_2 @ ( g1_orders_2 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(116,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
| ( ! [C: $i] :
( ~ ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
| ~ ( r1_orders_2 @ A @ B @ C )
| ( r2_hidden @ ( k4_tarski @ B @ C ) @ ( u1_orders_2 @ A ) ) )
& ! [C: $i] :
( ~ ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
| ~ ( r2_hidden @ ( k4_tarski @ B @ C ) @ ( u1_orders_2 @ A ) )
| ( r1_orders_2 @ A @ B @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(117,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)],[83]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(119,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ~ ( v1_orders_2 @ A )
| ( A
= ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(120,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ~ ( v1_orders_2 @ A )
| ( A
= ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(121,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
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(copy,[status(thm)],[117]) ).
thf(123,plain,
( ( ! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ B )
= ( k3_xboole_0 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(124,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ! [B: $i] :
( ~ ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
| ( ! [C: $i] :
( ~ ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
| ~ ( r1_orders_2 @ A @ B @ C )
| ( r2_hidden @ ( k4_tarski @ B @ C ) @ ( u1_orders_2 @ A ) ) )
& ! [C: $i] :
( ~ ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
| ~ ( r2_hidden @ ( k4_tarski @ B @ C ) @ ( u1_orders_2 @ A ) )
| ( r1_orders_2 @ A @ B @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( l1_orders_2 @ ( g1_orders_2 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( v1_orders_2 @ ( g1_orders_2 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(126,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ( l1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(127,plain,
$true = $true,
inference(copy,[status(thm)],[78]) ).
thf(128,plain,
$true = $true,
inference(copy,[status(thm)],[77]) ).
thf(129,plain,
$true = $true,
inference(copy,[status(thm)],[76]) ).
thf(130,plain,
$true = $true,
inference(copy,[status(thm)],[75]) ).
thf(131,plain,
$true = $true,
inference(copy,[status(thm)],[74]) ).
thf(132,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(133,plain,
$true = $true,
inference(copy,[status(thm)],[72]) ).
thf(134,plain,
$true = $true,
inference(copy,[status(thm)],[71]) ).
thf(135,plain,
$true = $true,
inference(copy,[status(thm)],[70]) ).
thf(136,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)],[112]) ).
thf(137,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ( m2_relset_1 @ ( u1_orders_2 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(138,plain,
$true = $true,
inference(copy,[status(thm)],[67]) ).
thf(139,plain,
( ( l1_orders_2 @ sK11_A )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(140,plain,
( ( l1_struct_0 @ sK10_A )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(141,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK9_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(142,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK8_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(143,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK7_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(144,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(145,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_relset_1 @ B @ A @ A )
| ( ! [C: $i] :
( ! [D: $i] :
( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( A = C ) )
& ! [C: $i,D: $i] :
( ( ( g1_orders_2 @ A @ B )
!= ( g1_orders_2 @ C @ D ) )
| ( B = D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(146,plain,
( ( ! [A: $i] :
( ( k3_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(147,plain,
( ( v1_xboole_0 @ sK6_A )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(148,plain,
( ( ~ ( v1_xboole_0 @ sK5_A ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(149,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)],[101]) ).
thf(150,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(151,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(152,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ! [B: $i] :
( ~ ( l1_orders_2 @ B )
| ! [C: $i] :
( ! [D: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
| ~ ( r2_hidden @ ( k4_tarski @ C @ D ) @ ( u1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) )
| ~ ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
| ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(153,plain,
( ( ! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(154,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(155,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)],[96]) ).
thf(156,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)],[95]) ).
thf(157,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)],[94]) ).
thf(158,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(159,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(161,plain,
( ( l1_orders_2 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(162,plain,
( ( ( l1_orders_2 @ sK2_SY69 )
& ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
& ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
& ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 )
& ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 )
& ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) )
& ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(163,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)],[149]) ).
thf(164,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)],[155]) ).
thf(165,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(166,plain,
( ( ~ ( ~ ( l1_orders_2 @ sK2_SY69 )
| ~ ~ ( ~ ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(167,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( l1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( v1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(168,plain,
( ( ! [SX0: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( r1_orders_2 @ SX0 @ SX1 @ SX2 )
| ( r2_hidden @ ( k4_tarski @ SX1 @ SX2 ) @ ( u1_orders_2 @ SX0 ) ) )
| ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SX1 @ SX2 ) @ ( u1_orders_2 @ SX0 ) )
| ( r1_orders_2 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(169,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ~ ( ~ ! [SX2: $i] :
( ! [SX3: $i] :
( ( g1_orders_2 @ SX0 @ SX1 )
!= ( g1_orders_2 @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( g1_orders_2 @ SX0 @ SX1 )
!= ( g1_orders_2 @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(170,plain,
! [SV1: $i] :
( ( ~ ( l1_orders_2 @ SV1 )
| ~ ( v1_orders_2 @ SV1 )
| ( SV1
= ( g1_orders_2 @ ( u1_struct_0 @ SV1 ) @ ( u1_orders_2 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(171,plain,
! [SV2: $i] :
( ( ! [SY75: $i] :
( ~ ( r2_hidden @ SV2 @ SY75 )
| ~ ( r2_hidden @ SY75 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(172,plain,
! [SV3: $i] :
( ( ! [SY76: $i,SY77: $i] :
( ~ ( m1_subset_1 @ SY77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SY76 ) ) )
| ( v1_relat_1 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(173,plain,
! [SV4: $i] :
( ( ! [SY78: $i] :
( ( k3_xboole_0 @ SV4 @ SY78 )
= ( k3_xboole_0 @ SY78 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(174,plain,
! [SV5: $i] :
( ( ~ ( l1_orders_2 @ SV5 )
| ( l1_struct_0 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(175,plain,
! [SV6: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ~ ( m2_relset_1 @ SY80 @ SV6 @ SY79 )
| ( m1_subset_1 @ SY80 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SY79 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(176,plain,
! [SV7: $i] :
( ( ~ ( l1_orders_2 @ SV7 )
| ( m2_relset_1 @ ( u1_orders_2 @ SV7 ) @ ( u1_struct_0 @ SV7 ) @ ( u1_struct_0 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(177,plain,
! [SV8: $i] :
( ( ! [SY81: $i] : ( m1_relset_1 @ ( sK9_C @ SY81 @ SV8 ) @ SV8 @ SY81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(178,plain,
! [SV9: $i] :
( ( m1_subset_1 @ ( sK8_B @ SV9 ) @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(179,plain,
! [SV10: $i] :
( ( ! [SY82: $i] : ( m2_relset_1 @ ( sK7_C @ SY82 @ SV10 ) @ SV10 @ SY82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(180,plain,
! [SV11: $i] :
( ( ( k3_xboole_0 @ SV11 @ SV11 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(181,plain,
( ( v1_xboole_0 @ sK5_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(182,plain,
! [SV12: $i] :
( ( r1_tarski @ SV12 @ SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(183,plain,
! [SV13: $i] :
( ( ! [SY83: $i] :
( ~ ( r2_hidden @ SV13 @ SY83 )
| ( m1_subset_1 @ SV13 @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(184,plain,
! [SV14: $i] :
( ( ~ ( l1_orders_2 @ SV14 )
| ! [SY84: $i] :
( ~ ( l1_orders_2 @ SY84 )
| ! [SY85: $i] :
( ! [SY86: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SY84 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SY84 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SY84 ) ) @ SY84 )
| ~ ( r2_hidden @ ( k4_tarski @ SY85 @ SY86 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SY84 ) ) )
| ~ ( r2_hidden @ SY86 @ ( u1_struct_0 @ SV14 ) ) )
| ( r2_hidden @ SY85 @ ( u1_struct_0 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(185,plain,
! [SV15: $i] :
( ( ( k3_xboole_0 @ SV15 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(186,plain,
! [SV16: $i] :
( ( ! [SY87: $i] :
( ~ ( m1_subset_1 @ SV16 @ SY87 )
| ( r2_hidden @ SV16 @ SY87 )
| ( v1_xboole_0 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(187,plain,
! [SV17: $i] :
( ( ! [SY88: $i,SY89: $i] :
( ~ ( m1_subset_1 @ SY88 @ ( k1_zfmisc_1 @ SY89 ) )
| ~ ( r2_hidden @ SV17 @ SY88 )
| ( m1_subset_1 @ SV17 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(188,plain,
! [SV18: $i] :
( ( ! [SY90: $i,SY91: $i] :
( ~ ( m1_subset_1 @ SY90 @ ( k1_zfmisc_1 @ SY91 ) )
| ~ ( r2_hidden @ SV18 @ SY90 )
| ~ ( v1_xboole_0 @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(189,plain,
! [SV19: $i] :
( ( ~ ( v1_xboole_0 @ SV19 )
| ( SV19 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(190,plain,
! [SV20: $i] :
( ( ! [SY92: $i] :
( ~ ( r2_hidden @ SV20 @ SY92 )
| ~ ( v1_xboole_0 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(191,plain,
! [SV21: $i] :
( ( ! [SY93: $i] :
( ( SV21 = SY93 )
| ~ ( v1_xboole_0 @ SV21 )
| ~ ( v1_xboole_0 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(192,plain,
! [SV22: $i] :
( ( ~ ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( m1_relset_1 @ SY95 @ SV22 @ SY94 )
| ( m2_relset_1 @ SY95 @ SV22 @ SY94 ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( m2_relset_1 @ SY97 @ SV22 @ SY96 )
| ( m1_relset_1 @ SY97 @ SV22 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(193,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)],[164]) ).
thf(194,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(195,plain,
( ( ~ ( l1_orders_2 @ sK2_SY69 )
| ~ ~ ( ~ ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(196,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( l1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( v1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(197,plain,
! [SV23: $i] :
( ( ~ ( l1_orders_2 @ SV23 )
| ! [SY98: $i] :
( ~ ( m1_subset_1 @ SY98 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ! [SY99: $i] :
( ~ ( m1_subset_1 @ SY99 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SY98 @ SY99 )
| ( r2_hidden @ ( k4_tarski @ SY98 @ SY99 ) @ ( u1_orders_2 @ SV23 ) ) )
| ~ ! [SY100: $i] :
( ~ ( m1_subset_1 @ SY100 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SY98 @ SY100 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SY98 @ SY100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(198,plain,
! [SV24: $i] :
( ( ! [SY101: $i] :
( ~ ( m1_relset_1 @ SY101 @ SV24 @ SV24 )
| ~ ( ~ ! [SY102: $i] :
( ! [SY103: $i] :
( ( g1_orders_2 @ SV24 @ SY101 )
!= ( g1_orders_2 @ SY102 @ SY103 ) )
| ( SV24 = SY102 ) )
| ~ ! [SY104: $i,SY105: $i] :
( ( ( g1_orders_2 @ SV24 @ SY101 )
!= ( g1_orders_2 @ SY104 @ SY105 ) )
| ( SY101 = SY105 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(199,plain,
! [SV1: $i] :
( ( ( ~ ( l1_orders_2 @ SV1 ) )
= $true )
| ( ( ~ ( v1_orders_2 @ SV1 )
| ( SV1
= ( g1_orders_2 @ ( u1_struct_0 @ SV1 ) @ ( u1_orders_2 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(200,plain,
! [SV25: $i,SV2: $i] :
( ( ~ ( r2_hidden @ SV2 @ SV25 )
| ~ ( r2_hidden @ SV25 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(201,plain,
! [SV26: $i,SV3: $i] :
( ( ! [SY106: $i] :
( ~ ( m1_subset_1 @ SY106 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV26 ) ) )
| ( v1_relat_1 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(202,plain,
! [SV27: $i,SV4: $i] :
( ( ( k3_xboole_0 @ SV4 @ SV27 )
= ( k3_xboole_0 @ SV27 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(203,plain,
! [SV5: $i] :
( ( ( ~ ( l1_orders_2 @ SV5 ) )
= $true )
| ( ( l1_struct_0 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(204,plain,
! [SV28: $i,SV6: $i] :
( ( ! [SY107: $i] :
( ~ ( m2_relset_1 @ SY107 @ SV6 @ SV28 )
| ( m1_subset_1 @ SY107 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(205,plain,
! [SV7: $i] :
( ( ( ~ ( l1_orders_2 @ SV7 ) )
= $true )
| ( ( m2_relset_1 @ ( u1_orders_2 @ SV7 ) @ ( u1_struct_0 @ SV7 ) @ ( u1_struct_0 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(206,plain,
! [SV8: $i,SV29: $i] :
( ( m1_relset_1 @ ( sK9_C @ SV29 @ SV8 ) @ SV8 @ SV29 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(207,plain,
! [SV10: $i,SV30: $i] :
( ( m2_relset_1 @ ( sK7_C @ SV30 @ SV10 ) @ SV10 @ SV30 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(208,plain,
! [SV31: $i,SV13: $i] :
( ( ~ ( r2_hidden @ SV13 @ SV31 )
| ( m1_subset_1 @ SV13 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(209,plain,
! [SV14: $i] :
( ( ( ~ ( l1_orders_2 @ SV14 ) )
= $true )
| ( ( ! [SY84: $i] :
( ~ ( l1_orders_2 @ SY84 )
| ! [SY85: $i] :
( ! [SY86: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SY84 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SY84 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SY84 ) ) @ SY84 )
| ~ ( r2_hidden @ ( k4_tarski @ SY85 @ SY86 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SY84 ) ) )
| ~ ( r2_hidden @ SY86 @ ( u1_struct_0 @ SV14 ) ) )
| ( r2_hidden @ SY85 @ ( u1_struct_0 @ SV14 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(210,plain,
! [SV32: $i,SV16: $i] :
( ( ~ ( m1_subset_1 @ SV16 @ SV32 )
| ( r2_hidden @ SV16 @ SV32 )
| ( v1_xboole_0 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(211,plain,
! [SV17: $i,SV33: $i] :
( ( ! [SY108: $i] :
( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SY108 ) )
| ~ ( r2_hidden @ SV17 @ SV33 )
| ( m1_subset_1 @ SV17 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(212,plain,
! [SV18: $i,SV34: $i] :
( ( ! [SY109: $i] :
( ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SY109 ) )
| ~ ( r2_hidden @ SV18 @ SV34 )
| ~ ( v1_xboole_0 @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(213,plain,
! [SV19: $i] :
( ( ( ~ ( v1_xboole_0 @ SV19 ) )
= $true )
| ( ( SV19 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(214,plain,
! [SV35: $i,SV20: $i] :
( ( ~ ( r2_hidden @ SV20 @ SV35 )
| ~ ( v1_xboole_0 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(215,plain,
! [SV36: $i,SV21: $i] :
( ( ( SV21 = SV36 )
| ~ ( v1_xboole_0 @ SV21 )
| ~ ( v1_xboole_0 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(216,plain,
! [SV22: $i] :
( ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( m1_relset_1 @ SY95 @ SV22 @ SY94 )
| ( m2_relset_1 @ SY95 @ SV22 @ SY94 ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( m2_relset_1 @ SY97 @ SV22 @ SY96 )
| ( m1_relset_1 @ SY97 @ SV22 @ SY96 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(217,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(218,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(219,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(220,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(221,plain,
( ( ~ ( l1_orders_2 @ sK2_SY69 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(222,plain,
( ( ~ ~ ( ~ ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(223,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( l1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(224,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( v1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(225,plain,
! [SV23: $i] :
( ( ( ~ ( l1_orders_2 @ SV23 ) )
= $true )
| ( ( ! [SY98: $i] :
( ~ ( m1_subset_1 @ SY98 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ! [SY99: $i] :
( ~ ( m1_subset_1 @ SY99 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SY98 @ SY99 )
| ( r2_hidden @ ( k4_tarski @ SY98 @ SY99 ) @ ( u1_orders_2 @ SV23 ) ) )
| ~ ! [SY100: $i] :
( ~ ( m1_subset_1 @ SY100 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SY98 @ SY100 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SY98 @ SY100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(226,plain,
! [SV24: $i,SV37: $i] :
( ( ~ ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
| ~ ( ~ ! [SY110: $i] :
( ! [SY111: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY110 @ SY111 ) )
| ( SV24 = SY110 ) )
| ~ ! [SY112: $i,SY113: $i] :
( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY112 @ SY113 ) )
| ( SV37 = SY113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(227,plain,
! [SV1: $i] :
( ( ( l1_orders_2 @ SV1 )
= $false )
| ( ( ~ ( v1_orders_2 @ SV1 )
| ( SV1
= ( g1_orders_2 @ ( u1_struct_0 @ SV1 ) @ ( u1_orders_2 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(228,plain,
! [SV25: $i,SV2: $i] :
( ( ( ~ ( r2_hidden @ SV2 @ SV25 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV25 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(229,plain,
! [SV26: $i,SV3: $i,SV38: $i] :
( ( ~ ( m1_subset_1 @ SV38 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV26 ) ) )
| ( v1_relat_1 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(230,plain,
! [SV5: $i] :
( ( ( l1_orders_2 @ SV5 )
= $false )
| ( ( l1_struct_0 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(231,plain,
! [SV28: $i,SV6: $i,SV39: $i] :
( ( ~ ( m2_relset_1 @ SV39 @ SV6 @ SV28 )
| ( m1_subset_1 @ SV39 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(232,plain,
! [SV7: $i] :
( ( ( l1_orders_2 @ SV7 )
= $false )
| ( ( m2_relset_1 @ ( u1_orders_2 @ SV7 ) @ ( u1_struct_0 @ SV7 ) @ ( u1_struct_0 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(233,plain,
! [SV31: $i,SV13: $i] :
( ( ( ~ ( r2_hidden @ SV13 @ SV31 ) )
= $true )
| ( ( m1_subset_1 @ SV13 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(234,plain,
! [SV14: $i] :
( ( ( l1_orders_2 @ SV14 )
= $false )
| ( ( ! [SY84: $i] :
( ~ ( l1_orders_2 @ SY84 )
| ! [SY85: $i] :
( ! [SY86: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SY84 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SY84 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SY84 ) ) @ SY84 )
| ~ ( r2_hidden @ ( k4_tarski @ SY85 @ SY86 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SY84 ) ) )
| ~ ( r2_hidden @ SY86 @ ( u1_struct_0 @ SV14 ) ) )
| ( r2_hidden @ SY85 @ ( u1_struct_0 @ SV14 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(235,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( m1_subset_1 @ SV16 @ SV32 ) )
= $true )
| ( ( ( r2_hidden @ SV16 @ SV32 )
| ( v1_xboole_0 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(236,plain,
! [SV17: $i,SV40: $i,SV33: $i] :
( ( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ( r2_hidden @ SV17 @ SV33 )
| ( m1_subset_1 @ SV17 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(237,plain,
! [SV18: $i,SV41: $i,SV34: $i] :
( ( ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV41 ) )
| ~ ( r2_hidden @ SV18 @ SV34 )
| ~ ( v1_xboole_0 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(238,plain,
! [SV19: $i] :
( ( ( v1_xboole_0 @ SV19 )
= $false )
| ( ( SV19 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(239,plain,
! [SV35: $i,SV20: $i] :
( ( ( ~ ( r2_hidden @ SV20 @ SV35 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(240,plain,
! [SV36: $i,SV21: $i] :
( ( ( ( SV21 = SV36 )
| ~ ( v1_xboole_0 @ SV21 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(241,plain,
! [SV22: $i] :
( ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( m1_relset_1 @ SY95 @ SV22 @ SY94 )
| ( m2_relset_1 @ SY95 @ SV22 @ SY94 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(242,plain,
! [SV22: $i] :
( ( ~ ! [SY96: $i,SY97: $i] :
( ~ ( m2_relset_1 @ SY97 @ SV22 @ SY96 )
| ( m1_relset_1 @ SY97 @ SV22 @ SY96 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(243,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(244,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(245,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(246,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(247,plain,
( ( l1_orders_2 @ sK2_SY69 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(248,plain,
( ( ~ ( ~ ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(249,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( l1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(250,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ( v1_orders_2 @ ( g1_orders_2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(251,plain,
! [SV23: $i] :
( ( ( l1_orders_2 @ SV23 )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( m1_subset_1 @ SY98 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ! [SY99: $i] :
( ~ ( m1_subset_1 @ SY99 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SY98 @ SY99 )
| ( r2_hidden @ ( k4_tarski @ SY98 @ SY99 ) @ ( u1_orders_2 @ SV23 ) ) )
| ~ ! [SY100: $i] :
( ~ ( m1_subset_1 @ SY100 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SY98 @ SY100 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SY98 @ SY100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(252,plain,
! [SV24: $i,SV37: $i] :
( ( ( ~ ( m1_relset_1 @ SV37 @ SV24 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ! [SY110: $i] :
( ! [SY111: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY110 @ SY111 ) )
| ( SV24 = SY110 ) )
| ~ ! [SY112: $i,SY113: $i] :
( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY112 @ SY113 ) )
| ( SV37 = SY113 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(253,plain,
! [SV1: $i] :
( ( ( ~ ( v1_orders_2 @ SV1 ) )
= $true )
| ( ( SV1
= ( g1_orders_2 @ ( u1_struct_0 @ SV1 ) @ ( u1_orders_2 @ SV1 ) ) )
= $true )
| ( ( l1_orders_2 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(254,plain,
! [SV25: $i,SV2: $i] :
( ( ( r2_hidden @ SV2 @ SV25 )
= $false )
| ( ( ~ ( r2_hidden @ SV25 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(255,plain,
! [SV26: $i,SV3: $i,SV38: $i] :
( ( ( ~ ( m1_subset_1 @ SV38 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV26 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(256,plain,
! [SV28: $i,SV6: $i,SV39: $i] :
( ( ( ~ ( m2_relset_1 @ SV39 @ SV6 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV39 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(257,plain,
! [SV31: $i,SV13: $i] :
( ( ( r2_hidden @ SV13 @ SV31 )
= $false )
| ( ( m1_subset_1 @ SV13 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(258,plain,
! [SV14: $i,SV42: $i] :
( ( ( ~ ( l1_orders_2 @ SV42 )
| ! [SY114: $i] :
( ! [SY115: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
| ~ ( r2_hidden @ ( k4_tarski @ SY114 @ SY115 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
| ~ ( r2_hidden @ SY115 @ ( u1_struct_0 @ SV14 ) ) )
| ( r2_hidden @ SY114 @ ( u1_struct_0 @ SV14 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(259,plain,
! [SV32: $i,SV16: $i] :
( ( ( m1_subset_1 @ SV16 @ SV32 )
= $false )
| ( ( ( r2_hidden @ SV16 @ SV32 )
| ( v1_xboole_0 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(260,plain,
! [SV17: $i,SV40: $i,SV33: $i] :
( ( ( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV40 ) )
| ~ ( r2_hidden @ SV17 @ SV33 ) )
= $true )
| ( ( m1_subset_1 @ SV17 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(261,plain,
! [SV18: $i,SV41: $i,SV34: $i] :
( ( ( ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV41 ) )
| ~ ( r2_hidden @ SV18 @ SV34 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(262,plain,
! [SV35: $i,SV20: $i] :
( ( ( r2_hidden @ SV20 @ SV35 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(263,plain,
! [SV36: $i,SV21: $i] :
( ( ( SV21 = SV36 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(264,plain,
! [SV22: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ~ ( m1_relset_1 @ SY95 @ SV22 @ SY94 )
| ( m2_relset_1 @ SY95 @ SV22 @ SY94 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(265,plain,
! [SV22: $i] :
( ( ! [SY96: $i,SY97: $i] :
( ~ ( m2_relset_1 @ SY97 @ SV22 @ SY96 )
| ( m1_relset_1 @ SY97 @ SV22 @ SY96 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(266,plain,
! [SV43: $i] :
( ( ! [SY116: $i] :
( ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SY116 ) )
| ( r1_tarski @ SV43 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(267,plain,
! [SV44: $i] :
( ( ! [SY117: $i] :
( ~ ( r1_tarski @ SV44 @ SY117 )
| ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(268,plain,
! [SV45: $i] :
( ( ! [SY118: $i] :
( ~ ( l1_orders_2 @ SV45 )
| ~ ( l1_orders_2 @ SY118 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SV45 @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(269,plain,
! [SV46: $i] :
( ( ! [SY119: $i] :
( ~ ( l1_orders_2 @ SV46 )
| ~ ( l1_orders_2 @ SY119 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV46 @ SY119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(270,plain,
( ( ~ ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(271,plain,
! [SV47: $i] :
( ( ! [SY120: $i] :
( ~ ( m1_relset_1 @ SY120 @ SV47 @ SV47 )
| ( l1_orders_2 @ ( g1_orders_2 @ SV47 @ SY120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(272,plain,
! [SV48: $i] :
( ( ! [SY121: $i] :
( ~ ( m1_relset_1 @ SY121 @ SV48 @ SV48 )
| ( v1_orders_2 @ ( g1_orders_2 @ SV48 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(273,plain,
! [SV23: $i,SV49: $i] :
( ( ( ~ ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ! [SY122: $i] :
( ~ ( m1_subset_1 @ SY122 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SV49 @ SY122 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SY122 ) @ ( u1_orders_2 @ SV23 ) ) )
| ~ ! [SY123: $i] :
( ~ ( m1_subset_1 @ SY123 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SY123 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SY123 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(274,plain,
! [SV24: $i,SV37: $i] :
( ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false )
| ( ( ~ ( ~ ! [SY110: $i] :
( ! [SY111: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY110 @ SY111 ) )
| ( SV24 = SY110 ) )
| ~ ! [SY112: $i,SY113: $i] :
( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY112 @ SY113 ) )
| ( SV37 = SY113 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(275,plain,
! [SV1: $i] :
( ( ( v1_orders_2 @ SV1 )
= $false )
| ( ( SV1
= ( g1_orders_2 @ ( u1_struct_0 @ SV1 ) @ ( u1_orders_2 @ SV1 ) ) )
= $true )
| ( ( l1_orders_2 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(276,plain,
! [SV2: $i,SV25: $i] :
( ( ( r2_hidden @ SV25 @ SV2 )
= $false )
| ( ( r2_hidden @ SV2 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(277,plain,
! [SV26: $i,SV3: $i,SV38: $i] :
( ( ( m1_subset_1 @ SV38 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV26 ) ) )
= $false )
| ( ( v1_relat_1 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(278,plain,
! [SV28: $i,SV6: $i,SV39: $i] :
( ( ( m2_relset_1 @ SV39 @ SV6 @ SV28 )
= $false )
| ( ( m1_subset_1 @ SV39 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(279,plain,
! [SV14: $i,SV42: $i] :
( ( ( ~ ( l1_orders_2 @ SV42 ) )
= $true )
| ( ( ! [SY114: $i] :
( ! [SY115: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
| ~ ( r2_hidden @ ( k4_tarski @ SY114 @ SY115 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
| ~ ( r2_hidden @ SY115 @ ( u1_struct_0 @ SV14 ) ) )
| ( r2_hidden @ SY114 @ ( u1_struct_0 @ SV14 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(280,plain,
! [SV32: $i,SV16: $i] :
( ( ( r2_hidden @ SV16 @ SV32 )
= $true )
| ( ( v1_xboole_0 @ SV32 )
= $true )
| ( ( m1_subset_1 @ SV16 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(281,plain,
! [SV17: $i,SV40: $i,SV33: $i] :
( ( ( ~ ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV40 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV17 @ SV33 ) )
= $true )
| ( ( m1_subset_1 @ SV17 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(282,plain,
! [SV18: $i,SV41: $i,SV34: $i] :
( ( ( ~ ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV41 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV18 @ SV34 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(283,plain,
! [SV20: $i,SV35: $i] :
( ( ( v1_xboole_0 @ SV35 )
= $false )
| ( ( r2_hidden @ SV20 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(284,plain,
! [SV36: $i,SV21: $i] :
( ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( SV21 = SV36 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(285,plain,
! [SV50: $i,SV22: $i] :
( ( ! [SY124: $i] :
( ~ ( m1_relset_1 @ SY124 @ SV22 @ SV50 )
| ( m2_relset_1 @ SY124 @ SV22 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(286,plain,
! [SV51: $i,SV22: $i] :
( ( ! [SY125: $i] :
( ~ ( m2_relset_1 @ SY125 @ SV22 @ SV51 )
| ( m1_relset_1 @ SY125 @ SV22 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(287,plain,
! [SV52: $i,SV43: $i] :
( ( ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV52 ) )
| ( r1_tarski @ SV43 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(288,plain,
! [SV53: $i,SV44: $i] :
( ( ~ ( r1_tarski @ SV44 @ SV53 )
| ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(289,plain,
! [SV54: $i,SV45: $i] :
( ( ~ ( l1_orders_2 @ SV45 )
| ~ ( l1_orders_2 @ SV54 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SV45 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(290,plain,
! [SV55: $i,SV46: $i] :
( ( ~ ( l1_orders_2 @ SV46 )
| ~ ( l1_orders_2 @ SV55 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV46 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(291,plain,
( ( ~ ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(292,plain,
( ( ~ ~ ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(293,plain,
! [SV47: $i,SV56: $i] :
( ( ~ ( m1_relset_1 @ SV56 @ SV47 @ SV47 )
| ( l1_orders_2 @ ( g1_orders_2 @ SV47 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(294,plain,
! [SV48: $i,SV57: $i] :
( ( ~ ( m1_relset_1 @ SV57 @ SV48 @ SV48 )
| ( v1_orders_2 @ ( g1_orders_2 @ SV48 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(295,plain,
! [SV23: $i,SV49: $i] :
( ( ( ~ ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY122: $i] :
( ~ ( m1_subset_1 @ SY122 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SV49 @ SY122 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SY122 ) @ ( u1_orders_2 @ SV23 ) ) )
| ~ ! [SY123: $i] :
( ~ ( m1_subset_1 @ SY123 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SY123 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SY123 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(296,plain,
! [SV37: $i,SV24: $i] :
( ( ( ~ ! [SY110: $i] :
( ! [SY111: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY110 @ SY111 ) )
| ( SV24 = SY110 ) )
| ~ ! [SY112: $i,SY113: $i] :
( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY112 @ SY113 ) )
| ( SV37 = SY113 ) ) )
= $false )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(297,plain,
! [SV14: $i,SV42: $i] :
( ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( ! [SY114: $i] :
( ! [SY115: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
| ~ ( r2_hidden @ ( k4_tarski @ SY114 @ SY115 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
| ~ ( r2_hidden @ SY115 @ ( u1_struct_0 @ SV14 ) ) )
| ( r2_hidden @ SY114 @ ( u1_struct_0 @ SV14 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(298,plain,
! [SV17: $i,SV40: $i,SV33: $i] :
( ( ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV40 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV17 @ SV33 ) )
= $true )
| ( ( m1_subset_1 @ SV17 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(299,plain,
! [SV18: $i,SV41: $i,SV34: $i] :
( ( ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV41 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV18 @ SV34 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(300,plain,
! [SV21: $i,SV36: $i] :
( ( ( v1_xboole_0 @ SV36 )
= $false )
| ( ( SV21 = SV36 )
= $true )
| ( ( v1_xboole_0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(301,plain,
! [SV50: $i,SV22: $i,SV58: $i] :
( ( ~ ( m1_relset_1 @ SV58 @ SV22 @ SV50 )
| ( m2_relset_1 @ SV58 @ SV22 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(302,plain,
! [SV51: $i,SV22: $i,SV59: $i] :
( ( ~ ( m2_relset_1 @ SV59 @ SV22 @ SV51 )
| ( m1_relset_1 @ SV59 @ SV22 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(303,plain,
! [SV52: $i,SV43: $i] :
( ( ( ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV52 ) ) )
= $true )
| ( ( r1_tarski @ SV43 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(304,plain,
! [SV53: $i,SV44: $i] :
( ( ( ~ ( r1_tarski @ SV44 @ SV53 ) )
= $true )
| ( ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(305,plain,
! [SV54: $i,SV45: $i] :
( ( ( ~ ( l1_orders_2 @ SV45 )
| ~ ( l1_orders_2 @ SV54 ) )
= $true )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV45 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(306,plain,
! [SV55: $i,SV46: $i] :
( ( ( ~ ( l1_orders_2 @ SV46 )
| ~ ( l1_orders_2 @ SV55 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV46 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(307,plain,
( ( m1_subset_1 @ sK3_SY72 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(308,plain,
( ( ~ ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(309,plain,
! [SV47: $i,SV56: $i] :
( ( ( ~ ( m1_relset_1 @ SV56 @ SV47 @ SV47 ) )
= $true )
| ( ( l1_orders_2 @ ( g1_orders_2 @ SV47 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(310,plain,
! [SV48: $i,SV57: $i] :
( ( ( ~ ( m1_relset_1 @ SV57 @ SV48 @ SV48 ) )
= $true )
| ( ( v1_orders_2 @ ( g1_orders_2 @ SV48 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(311,plain,
! [SV23: $i,SV49: $i] :
( ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( ~ ( ~ ! [SY122: $i] :
( ~ ( m1_subset_1 @ SY122 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SV49 @ SY122 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SY122 ) @ ( u1_orders_2 @ SV23 ) ) )
| ~ ! [SY123: $i] :
( ~ ( m1_subset_1 @ SY123 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SY123 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SY123 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(312,plain,
! [SV37: $i,SV24: $i] :
( ( ( ~ ! [SY110: $i] :
( ! [SY111: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY110 @ SY111 ) )
| ( SV24 = SY110 ) ) )
= $false )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(313,plain,
! [SV37: $i,SV24: $i] :
( ( ( ~ ! [SY112: $i,SY113: $i] :
( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY112 @ SY113 ) )
| ( SV37 = SY113 ) ) )
= $false )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(314,plain,
! [SV60: $i,SV42: $i,SV14: $i] :
( ( ( ! [SY126: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
| ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SY126 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
| ~ ( r2_hidden @ SY126 @ ( u1_struct_0 @ SV14 ) ) )
| ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(315,plain,
! [SV40: $i,SV33: $i,SV17: $i] :
( ( ( r2_hidden @ SV17 @ SV33 )
= $false )
| ( ( m1_subset_1 @ SV33 @ ( k1_zfmisc_1 @ SV40 ) )
= $false )
| ( ( m1_subset_1 @ SV17 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(316,plain,
! [SV41: $i,SV34: $i,SV18: $i] :
( ( ( r2_hidden @ SV18 @ SV34 )
= $false )
| ( ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV41 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(317,plain,
! [SV50: $i,SV22: $i,SV58: $i] :
( ( ( ~ ( m1_relset_1 @ SV58 @ SV22 @ SV50 ) )
= $true )
| ( ( m2_relset_1 @ SV58 @ SV22 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(318,plain,
! [SV51: $i,SV22: $i,SV59: $i] :
( ( ( ~ ( m2_relset_1 @ SV59 @ SV22 @ SV51 ) )
= $true )
| ( ( m1_relset_1 @ SV59 @ SV22 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(319,plain,
! [SV52: $i,SV43: $i] :
( ( ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV52 ) )
= $false )
| ( ( r1_tarski @ SV43 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(320,plain,
! [SV53: $i,SV44: $i] :
( ( ( r1_tarski @ SV44 @ SV53 )
= $false )
| ( ( m1_subset_1 @ SV44 @ ( k1_zfmisc_1 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(321,plain,
! [SV54: $i,SV45: $i] :
( ( ( ~ ( l1_orders_2 @ SV45 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV54 ) )
= $true )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV45 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(322,plain,
! [SV55: $i,SV46: $i] :
( ( ( ~ ( l1_orders_2 @ SV46 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV55 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV46 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(323,plain,
( ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(324,plain,
! [SV47: $i,SV56: $i] :
( ( ( m1_relset_1 @ SV56 @ SV47 @ SV47 )
= $false )
| ( ( l1_orders_2 @ ( g1_orders_2 @ SV47 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(325,plain,
! [SV48: $i,SV57: $i] :
( ( ( m1_relset_1 @ SV57 @ SV48 @ SV48 )
= $false )
| ( ( v1_orders_2 @ ( g1_orders_2 @ SV48 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(326,plain,
! [SV49: $i,SV23: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ( m1_subset_1 @ SY122 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SV49 @ SY122 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SY122 ) @ ( u1_orders_2 @ SV23 ) ) )
| ~ ! [SY123: $i] :
( ~ ( m1_subset_1 @ SY123 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SY123 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SY123 ) ) )
= $false )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(327,plain,
! [SV37: $i,SV24: $i] :
( ( ( ! [SY110: $i] :
( ! [SY111: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY110 @ SY111 ) )
| ( SV24 = SY110 ) ) )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(328,plain,
! [SV37: $i,SV24: $i] :
( ( ( ! [SY112: $i,SY113: $i] :
( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SY112 @ SY113 ) )
| ( SV37 = SY113 ) ) )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(329,plain,
! [SV60: $i,SV42: $i,SV14: $i] :
( ( ( ! [SY126: $i] :
( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
| ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SY126 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
| ~ ( r2_hidden @ SY126 @ ( u1_struct_0 @ SV14 ) ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(330,plain,
! [SV18: $i,SV34: $i,SV41: $i] :
( ( ( v1_xboole_0 @ SV41 )
= $false )
| ( ( m1_subset_1 @ SV34 @ ( k1_zfmisc_1 @ SV41 ) )
= $false )
| ( ( r2_hidden @ SV18 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(331,plain,
! [SV50: $i,SV22: $i,SV58: $i] :
( ( ( m1_relset_1 @ SV58 @ SV22 @ SV50 )
= $false )
| ( ( m2_relset_1 @ SV58 @ SV22 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(332,plain,
! [SV51: $i,SV22: $i,SV59: $i] :
( ( ( m2_relset_1 @ SV59 @ SV22 @ SV51 )
= $false )
| ( ( m1_relset_1 @ SV59 @ SV22 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(333,plain,
! [SV54: $i,SV45: $i] :
( ( ( l1_orders_2 @ SV45 )
= $false )
| ( ( ~ ( l1_orders_2 @ SV54 ) )
= $true )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV45 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(334,plain,
! [SV55: $i,SV46: $i] :
( ( ( l1_orders_2 @ SV46 )
= $false )
| ( ( ~ ( l1_orders_2 @ SV55 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV46 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(335,plain,
( ( ~ ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(336,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(337,plain,
! [SV49: $i,SV23: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ( m1_subset_1 @ SY122 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SV49 @ SY122 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SY122 ) @ ( u1_orders_2 @ SV23 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(338,plain,
! [SV49: $i,SV23: $i] :
( ( ( ~ ! [SY123: $i] :
( ~ ( m1_subset_1 @ SY123 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SY123 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SY123 ) ) )
= $false )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(339,plain,
! [SV61: $i,SV37: $i,SV24: $i] :
( ( ( ! [SY127: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SV61 @ SY127 ) )
| ( SV24 = SV61 ) )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(340,plain,
! [SV62: $i,SV37: $i,SV24: $i] :
( ( ( ! [SY128: $i] :
( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SV62 @ SY128 ) )
| ( SV37 = SY128 ) ) )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(341,plain,
! [SV63: $i,SV60: $i,SV42: $i,SV14: $i] :
( ( ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
| ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
| ~ ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(342,plain,
! [SV45: $i,SV54: $i] :
( ( ( l1_orders_2 @ SV54 )
= $false )
| ( ( l1_orders_2 @ SV45 )
= $false )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV45 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(343,plain,
! [SV46: $i,SV55: $i] :
( ( ( l1_orders_2 @ SV55 )
= $false )
| ( ( l1_orders_2 @ SV46 )
= $false )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV46 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(344,plain,
( ( m1_subset_1 @ sK4_SY74 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(345,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(346,plain,
! [SV49: $i,SV23: $i] :
( ( ( ! [SY122: $i] :
( ~ ( m1_subset_1 @ SY122 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SV49 @ SY122 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SY122 ) @ ( u1_orders_2 @ SV23 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(347,plain,
! [SV49: $i,SV23: $i] :
( ( ( ! [SY123: $i] :
( ~ ( m1_subset_1 @ SY123 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SY123 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SY123 ) ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(348,plain,
! [SV61: $i,SV37: $i,SV24: $i] :
( ( ( ! [SY127: $i] :
( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SV61 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV61 )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(349,plain,
! [SV64: $i,SV62: $i,SV37: $i,SV24: $i] :
( ( ( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SV62 @ SV64 ) )
| ( SV37 = SV64 ) )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(350,plain,
! [SV63: $i,SV60: $i,SV42: $i,SV14: $i] :
( ( ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
| ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(351,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
| ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(352,plain,
! [SV49: $i,SV23: $i,SV65: $i] :
( ( ( ~ ( m1_subset_1 @ SV65 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r1_orders_2 @ SV23 @ SV49 @ SV65 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SV65 ) @ ( u1_orders_2 @ SV23 ) ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(353,plain,
! [SV49: $i,SV23: $i,SV66: $i] :
( ( ( ~ ( m1_subset_1 @ SV66 @ ( u1_struct_0 @ SV23 ) )
| ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SV66 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SV66 ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(354,plain,
! [SV67: $i,SV61: $i,SV37: $i,SV24: $i] :
( ( ( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SV61 @ SV67 ) ) )
= $true )
| ( ( SV24 = SV61 )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(355,plain,
! [SV64: $i,SV62: $i,SV37: $i,SV24: $i] :
( ( ( ( ( g1_orders_2 @ SV24 @ SV37 )
!= ( g1_orders_2 @ SV62 @ SV64 ) ) )
= $true )
| ( ( SV37 = SV64 )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(356,plain,
! [SV63: $i,SV60: $i,SV42: $i,SV14: $i] :
( ( ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(357,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(358,plain,
( ( ~ ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(359,plain,
! [SV49: $i,SV23: $i,SV65: $i] :
( ( ( ~ ( m1_subset_1 @ SV65 @ ( u1_struct_0 @ SV23 ) ) )
= $true )
| ( ( ~ ( r1_orders_2 @ SV23 @ SV49 @ SV65 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SV65 ) @ ( u1_orders_2 @ SV23 ) ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(360,plain,
! [SV49: $i,SV23: $i,SV66: $i] :
( ( ( ~ ( m1_subset_1 @ SV66 @ ( u1_struct_0 @ SV23 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SV66 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SV66 ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(361,plain,
! [SV67: $i,SV61: $i,SV37: $i,SV24: $i] :
( ( ( ( g1_orders_2 @ SV24 @ SV37 )
= ( g1_orders_2 @ SV61 @ SV67 ) )
= $false )
| ( ( SV24 = SV61 )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(362,plain,
! [SV64: $i,SV62: $i,SV37: $i,SV24: $i] :
( ( ( ( g1_orders_2 @ SV24 @ SV37 )
= ( g1_orders_2 @ SV62 @ SV64 ) )
= $false )
| ( ( SV37 = SV64 )
= $true )
| ( ( m1_relset_1 @ SV37 @ SV24 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(363,plain,
! [SV63: $i,SV60: $i,SV42: $i,SV14: $i] :
( ( ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) ) )
= $true )
| ( ( ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(364,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(365,plain,
( ( ~ ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(366,plain,
! [SV49: $i,SV23: $i,SV65: $i] :
( ( ( m1_subset_1 @ SV65 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( ~ ( r1_orders_2 @ SV23 @ SV49 @ SV65 )
| ( r2_hidden @ ( k4_tarski @ SV49 @ SV65 ) @ ( u1_orders_2 @ SV23 ) ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(367,plain,
! [SV49: $i,SV23: $i,SV66: $i] :
( ( ( m1_subset_1 @ SV66 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SV66 ) @ ( u1_orders_2 @ SV23 ) )
| ( r1_orders_2 @ SV23 @ SV49 @ SV66 ) )
= $true )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(368,plain,
! [SV63: $i,SV60: $i,SV42: $i,SV14: $i] :
( ( ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
= $false )
| ( ( ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(369,plain,
( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
| ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(370,plain,
( ( r2_hidden @ sK3_SY72 @ ( u1_struct_0 @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(371,plain,
! [SV65: $i,SV49: $i,SV23: $i] :
( ( ( ~ ( r1_orders_2 @ SV23 @ SV49 @ SV65 ) )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ SV49 @ SV65 ) @ ( u1_orders_2 @ SV23 ) )
= $true )
| ( ( m1_subset_1 @ SV65 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(372,plain,
! [SV23: $i,SV66: $i,SV49: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ SV49 @ SV66 ) @ ( u1_orders_2 @ SV23 ) ) )
= $true )
| ( ( r1_orders_2 @ SV23 @ SV49 @ SV66 )
= $true )
| ( ( m1_subset_1 @ SV66 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(373,plain,
! [SV63: $i,SV60: $i,SV42: $i,SV14: $i] :
( ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
= $false )
| ( ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(374,plain,
( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(375,plain,
( ( ~ ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(376,plain,
! [SV65: $i,SV49: $i,SV23: $i] :
( ( ( r1_orders_2 @ SV23 @ SV49 @ SV65 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ SV49 @ SV65 ) @ ( u1_orders_2 @ SV23 ) )
= $true )
| ( ( m1_subset_1 @ SV65 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(377,plain,
! [SV23: $i,SV66: $i,SV49: $i] :
( ( ( r2_hidden @ ( k4_tarski @ SV49 @ SV66 ) @ ( u1_orders_2 @ SV23 ) )
= $false )
| ( ( r1_orders_2 @ SV23 @ SV49 @ SV66 )
= $true )
| ( ( m1_subset_1 @ SV66 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV49 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( l1_orders_2 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(378,plain,
! [SV42: $i,SV14: $i,SV63: $i,SV60: $i] :
( ( ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
= $false )
| ( ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
= $false )
| ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
= $false )
| ( ( ~ ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) ) )
= $true )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(379,plain,
( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(380,plain,
( ( r2_hidden @ sK4_SY74 @ ( u1_struct_0 @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(381,plain,
! [SV60: $i,SV42: $i,SV14: $i,SV63: $i] :
( ( ( r2_hidden @ SV63 @ ( u1_struct_0 @ SV14 ) )
= $false )
| ( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ SV42 )
= $false )
| ( ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ SV14 ) @ ( u1_struct_0 @ SV42 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV42 ) ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ SV60 @ SV63 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ SV14 @ SV42 ) ) )
= $false )
| ( ( r2_hidden @ SV60 @ ( u1_struct_0 @ SV14 ) )
= $true )
| ( ( l1_orders_2 @ SV42 )
= $false )
| ( ( l1_orders_2 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(382,plain,
( ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
| ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(383,plain,
( ( ~ ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(384,plain,
( ( ~ ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(385,plain,
( ( ~ ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(386,plain,
( ( r1_orders_2 @ ( k1_latsum_1 @ sK1_A @ sK2_SY69 ) @ sK3_SY72 @ sK4_SY74 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(387,plain,
( ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(388,plain,
( ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(389,plain,
( ( ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(390,plain,
( ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sK2_SY69 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(391,plain,
( ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK2_SY69 ) ) @ sK2_SY69 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(392,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[127,391,390,386,381,380,377,376,370,362,361,344,343,342,332,331,330,325,324,320,319,315,307,300,283,280,278,277,276,275,257,247,238,232,230,207,206,202,185,182,181,180,178,161,147,144,140,139,138,135,134,133,131,130,129,128]) ).
thf(393,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 20:59:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37
% 0.12/0.37 No.of.Axioms: 41
% 0.12/0.37
% 0.12/0.37 Length.of.Defs: 0
% 0.12/0.37
% 0.12/0.37 Contains.Choice.Funs: false
% 0.12/0.38 .
% 0.12/0.40 (rf:0,axioms:41,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:43,loop_count:0,foatp_calls:0,translation:fof_full).....................
% 2.32/2.55
% 2.32/2.55 ********************************
% 2.32/2.55 * All subproblems solved! *
% 2.32/2.55 ********************************
% 2.32/2.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:392,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.42/2.65
% 2.42/2.65 %**** Beginning of derivation protocol ****
% 2.42/2.65 % SZS output start CNFRefutation
% See solution above
% 2.42/2.65
% 2.42/2.65 %**** End of derivation protocol ****
% 2.42/2.65 %**** no. of clauses in derivation: 393 ****
% 2.42/2.65 %**** clause counter: 392 ****
% 2.42/2.65
% 2.42/2.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:392,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------