TSTP Solution File: SEU407+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU407+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 : n011.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 12:11:34 EDT 2022
% Result : Theorem 91.10s 91.41s
% Output : CNFRefutation 91.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 81
% Syntax : Number of formulae : 620 ( 327 unt; 35 typ; 0 def)
% Number of atoms : 3917 (1306 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 8077 (1266 ~;1238 |; 100 &;5393 @)
% ( 10 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 11 con; 0-6 aty)
% Number of variables : 1463 ( 0 ^1445 !; 18 ?;1463 :)
% 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_xboole_0,type,
k2_xboole_0: $i > $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k4_xboole_0,type,
k4_xboole_0: $i > $i > $i ).
thf(tp_k5_relat_1,type,
k5_relat_1: $i > $i > $i ).
thf(tp_k7_relset_1,type,
k7_relset_1: $i > $i > $i > $i > $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_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_sK10_C,type,
sK10_C: $i > $i > $i ).
thf(tp_sK11_A,type,
sK11_A: $i ).
thf(tp_sK12_A,type,
sK12_A: $i ).
thf(tp_sK13_D,type,
sK13_D: $i > $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY98,type,
sK2_SY98: $i ).
thf(tp_sK3_SY100,type,
sK3_SY100: $i ).
thf(tp_sK4_B,type,
sK4_B: $i > $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_A,type,
sK7_A: $i ).
thf(tp_sK8_C,type,
sK8_C: $i > $i > $i ).
thf(tp_sK9_B,type,
sK9_B: $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_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(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(1,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t4_subset) ).
thf(6,axiom,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
thf(8,axiom,
! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ ( k4_xboole_0 @ B @ A ) )
= ( k2_xboole_0 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(12,axiom,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
thf(13,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
thf(16,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
thf(17,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(18,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(19,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
thf(21,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/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) )
& ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_latsum_1) ).
thf(25,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(26,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) )
& ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_latsum_1) ).
thf(28,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(29,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(30,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(31,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(32,axiom,
? [A: $i] : ( l1_orders_2 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(34,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/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
thf(35,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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(39,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( m2_relset_1 @ ( k7_relset_1 @ A @ B @ C @ D @ E @ F ) @ A @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relset_1) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_relat_1 @ B ) )
=> ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
thf(47,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/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
thf(48,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/sandbox/benchmark/theBenchmark.p',dt_g1_orders_2) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
thf(50,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i] :
( ( ( v1_orders_2 @ C )
& ( l1_orders_2 @ C ) )
=> ( ( C
= ( k1_latsum_1 @ A @ B ) )
<=> ( ( ( u1_struct_0 @ C )
= ( k2_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
& ( ( u1_orders_2 @ C )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
thf(51,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
thf(52,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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(54,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/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
thf(55,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ( ( r2_hidden @ C @ ( u1_struct_0 @ A ) )
| ( r2_hidden @ C @ ( k4_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
thf(56,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ( ( r2_hidden @ C @ ( u1_struct_0 @ A ) )
| ( r2_hidden @ C @ ( k4_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[55]) ).
thf(57,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ( ( r2_hidden @ C @ ( u1_struct_0 @ A ) )
| ( r2_hidden @ C @ ( k4_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[56]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(60,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(61,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(62,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(63,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(64,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(65,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ ( k4_xboole_0 @ B @ A ) )
= ( k2_xboole_0 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(69,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(71,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)],[14]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(73,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(74,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(75,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(76,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(78,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)],[21]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) )
& ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(82,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(83,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) )
& ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(85,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(86,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(88,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(89,plain,
( ( ? [A: $i] : ( l1_orders_2 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(91,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)],[34]) ).
thf(92,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)],[35]) ).
thf(96,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( m2_relset_1 @ ( k7_relset_1 @ A @ B @ C @ D @ E @ F ) @ A @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(98,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_relat_1 @ B ) )
=> ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(104,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)],[47]) ).
thf(105,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)],[48]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(107,plain,
( ( ! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i] :
( ( ( v1_orders_2 @ C )
& ( l1_orders_2 @ C ) )
=> ( ( C
= ( k1_latsum_1 @ A @ B ) )
<=> ( ( ( u1_struct_0 @ C )
= ( k2_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
& ( ( u1_orders_2 @ C )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(108,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(109,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)],[52]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(111,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)],[54]) ).
thf(112,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( l1_orders_2 @ sK1_A ) )
=> ! [SY98: $i] :
( ( ~ ( v3_struct_0 @ SY98 )
& ( l1_orders_2 @ SY98 ) )
=> ! [SY99: $i] :
( ( m1_subset_1 @ SY99 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY98 ) ) )
=> ( ( r2_hidden @ SY99 @ ( u1_struct_0 @ sK1_A ) )
| ( r2_hidden @ SY99 @ ( k4_xboole_0 @ ( u1_struct_0 @ SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(113,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[112]) ).
thf(114,plain,
( ( l1_orders_2 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[112]) ).
thf(115,plain,
( ( ! [SY98: $i] :
( ( ~ ( v3_struct_0 @ SY98 )
& ( l1_orders_2 @ SY98 ) )
=> ! [SY99: $i] :
( ( m1_subset_1 @ SY99 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY98 ) ) )
=> ( ( r2_hidden @ SY99 @ ( u1_struct_0 @ sK1_A ) )
| ( r2_hidden @ SY99 @ ( k4_xboole_0 @ ( u1_struct_0 @ SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[112]) ).
thf(116,plain,
( ( ~ ! [SY98: $i] :
( ( ~ ( v3_struct_0 @ SY98 )
& ( l1_orders_2 @ SY98 ) )
=> ! [SY99: $i] :
( ( m1_subset_1 @ SY99 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ SY98 ) ) )
=> ( ( r2_hidden @ SY99 @ ( u1_struct_0 @ sK1_A ) )
| ( r2_hidden @ SY99 @ ( k4_xboole_0 @ ( u1_struct_0 @ SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[115]) ).
thf(117,plain,
( ( ~ ( v3_struct_0 @ sK2_SY98 )
& ( l1_orders_2 @ sK2_SY98 )
& ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
& ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
& ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(120,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(121,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)],[61]) ).
thf(122,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)],[62]) ).
thf(123,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)],[64]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(126,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(127,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)],[71]) ).
thf(128,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( m1_relset_1 @ E @ A @ B )
| ~ ( m1_relset_1 @ F @ C @ D )
| ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(129,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK4_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK4_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(130,plain,
( ( ( l1_struct_0 @ sK5_A )
& ~ ( v3_struct_0 @ sK5_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(131,plain,
( ( ~ ( v1_xboole_0 @ sK6_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(132,plain,
( ( v1_xboole_0 @ sK7_A )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(133,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(134,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)],[78]) ).
thf(135,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(136,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(137,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(138,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(139,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ( v3_struct_0 @ B )
| ~ ( l1_orders_2 @ B )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ( v3_struct_0 @ B )
| ~ ( l1_orders_2 @ B )
| ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(140,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK8_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(141,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK9_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(142,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK10_C @ B @ A ) @ A @ B ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(143,plain,
( ( l1_struct_0 @ sK11_A )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(144,plain,
( ( l1_orders_2 @ sK12_A )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(145,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)],[91]) ).
thf(146,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)],[92]) ).
thf(147,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(148,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( m1_relset_1 @ E @ A @ B )
| ~ ( m1_relset_1 @ F @ C @ D )
| ( m2_relset_1 @ ( k7_relset_1 @ A @ B @ C @ D @ E @ F ) @ A @ D ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(149,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_relat_1 @ B )
| ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(150,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)],[104]) ).
thf(151,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)],[105]) ).
thf(152,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ C )
| ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ A ) )
& ( ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ C )
| ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ B ) )
& ( ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ C )
| ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ A )
| ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ B ) ) )
| ( C
= ( k2_xboole_0 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( k2_xboole_0 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( r2_hidden @ D @ C )
| ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) )
& ! [D: $i] :
( ~ ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ C ) )
& ! [D: $i] :
( ~ ( r2_hidden @ D @ B )
| ( r2_hidden @ D @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(153,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ! [B: $i] :
( ~ ( l1_orders_2 @ B )
| ( ! [C: $i] :
( ~ ( l1_orders_2 @ C )
| ~ ( v1_orders_2 @ C )
| ( ( u1_struct_0 @ C )
!= ( k2_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
| ( ( u1_orders_2 @ C )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) ) )
| ( C
= ( k1_latsum_1 @ A @ B ) ) )
& ! [C: $i] :
( ~ ( l1_orders_2 @ C )
| ~ ( v1_orders_2 @ C )
| ( C
!= ( k1_latsum_1 @ A @ B ) )
| ( ( u1_struct_0 @ C )
= ( k2_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) )
& ! [C: $i] :
( ~ ( l1_orders_2 @ C )
| ~ ( v1_orders_2 @ C )
| ( C
!= ( k1_latsum_1 @ A @ B ) )
| ( ( u1_orders_2 @ C )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(154,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)],[109]) ).
thf(155,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[110]) ).
thf(156,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)],[111]) ).
thf(157,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)],[156]) ).
thf(158,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(159,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)],[154]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ B )
= ( k2_xboole_0 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(161,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ! [B: $i] :
( ~ ( l1_orders_2 @ B )
| ( ! [C: $i] :
( ~ ( l1_orders_2 @ C )
| ~ ( v1_orders_2 @ C )
| ( ( u1_struct_0 @ C )
!= ( k2_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
| ( ( u1_orders_2 @ C )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) ) )
| ( C
= ( k1_latsum_1 @ A @ B ) ) )
& ! [C: $i] :
( ~ ( l1_orders_2 @ C )
| ~ ( v1_orders_2 @ C )
| ( C
!= ( k1_latsum_1 @ A @ B ) )
| ( ( u1_struct_0 @ C )
= ( k2_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) )
& ! [C: $i] :
( ~ ( l1_orders_2 @ C )
| ~ ( v1_orders_2 @ C )
| ( C
!= ( k1_latsum_1 @ A @ B ) )
| ( ( u1_orders_2 @ C )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(162,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ C )
| ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ A ) )
& ( ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ C )
| ~ ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ B ) )
& ( ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ C )
| ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ A )
| ( r2_hidden @ ( sK13_D @ C @ B @ A ) @ B ) ) )
| ( C
= ( k2_xboole_0 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( k2_xboole_0 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( r2_hidden @ D @ C )
| ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) )
& ! [D: $i] :
( ~ ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ C ) )
& ! [D: $i] :
( ~ ( r2_hidden @ D @ B )
| ( r2_hidden @ D @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(163,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)],[151]) ).
thf(164,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)],[150]) ).
thf(170,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_relat_1 @ A )
| ~ ( v1_relat_1 @ B )
| ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(171,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( m1_relset_1 @ E @ A @ B )
| ~ ( m1_relset_1 @ F @ C @ D )
| ( m2_relset_1 @ ( k7_relset_1 @ A @ B @ C @ D @ E @ F ) @ A @ D ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(172,plain,
( ( ! [A: $i] :
( ~ ( l1_orders_2 @ A )
| ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(176,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)],[146]) ).
thf(177,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)],[145]) ).
thf(179,plain,
( ( l1_orders_2 @ sK12_A )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(180,plain,
( ( l1_struct_0 @ sK11_A )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(181,plain,
( ( ! [A: $i,B: $i] : ( m1_relset_1 @ ( sK10_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(182,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( sK9_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(183,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ ( sK8_C @ B @ A ) @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(184,plain,
( ( ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ( v3_struct_0 @ B )
| ~ ( l1_orders_2 @ B )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( l1_orders_2 @ A )
| ( v3_struct_0 @ B )
| ~ ( l1_orders_2 @ B )
| ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(185,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(186,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(187,plain,
( ( ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_orders_2 @ A )
| ~ ( l1_orders_2 @ B )
| ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(188,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(189,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ! [B: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(190,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)],[134]) ).
thf(191,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(192,plain,
( ( v1_xboole_0 @ sK7_A )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(193,plain,
( ( ~ ( v1_xboole_0 @ sK6_A ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(194,plain,
( ( ( l1_struct_0 @ sK5_A )
& ~ ( v3_struct_0 @ sK5_A ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(195,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( l1_struct_0 @ A )
| ( ( m1_subset_1 @ ( sK4_B @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ ( sK4_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(196,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( m1_relset_1 @ E @ A @ B )
| ~ ( m1_relset_1 @ F @ C @ D )
| ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(197,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)],[127]) ).
thf(198,plain,
( ( ! [A: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(199,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(200,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(201,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ B )
| ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(202,plain,
( ( ! [A: $i,B: $i] :
( ( k2_xboole_0 @ A @ ( k4_xboole_0 @ B @ A ) )
= ( k2_xboole_0 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(203,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(204,plain,
( ( ! [A: $i,B: $i] :
( ~ ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
| ( r1_tarski @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( r1_tarski @ A @ B )
| ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(205,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(206,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)],[122]) ).
thf(207,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)],[121]) ).
thf(208,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(209,plain,
( ( ! [A: $i,B: $i] :
( ~ ( r2_hidden @ A @ B )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(210,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( v1_xboole_0 @ A )
| ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(211,plain,
( ( l1_orders_2 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(212,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(213,plain,
( ( ~ ( v3_struct_0 @ sK2_SY98 )
& ( l1_orders_2 @ sK2_SY98 )
& ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
& ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
& ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(214,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)],[163]) ).
thf(215,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)],[197]) ).
thf(216,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)],[190]) ).
thf(217,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)],[164]) ).
thf(218,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( r2_hidden @ ( sK13_D @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( r2_hidden @ ( sK13_D @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ( r2_hidden @ ( sK13_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( r2_hidden @ ( sK13_D @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX2
= ( k2_xboole_0 @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX2
!= ( k2_xboole_0 @ SX0 @ SX1 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX2 )
| ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX3 @ SX1 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX3 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX1 )
| ( r2_hidden @ SX3 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(219,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(220,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK5_A )
| ~ ~ ( v3_struct_0 @ sK5_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(221,plain,
( ( ! [SX0: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ! [SX1: $i] :
( ~ ( l1_orders_2 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( l1_orders_2 @ SX2 )
| ~ ( v1_orders_2 @ SX2 )
| ( ( u1_struct_0 @ SX2 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ( ( u1_orders_2 @ SX2 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SX0 ) @ ( u1_orders_2 @ SX1 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) @ ( u1_struct_0 @ SX1 ) @ ( u1_orders_2 @ SX0 ) @ ( u1_orders_2 @ SX1 ) ) ) )
| ( SX2
= ( k1_latsum_1 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( l1_orders_2 @ SX2 )
| ~ ( v1_orders_2 @ SX2 )
| ( SX2
!= ( k1_latsum_1 @ SX0 @ SX1 ) )
| ( ( u1_struct_0 @ SX2 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( l1_orders_2 @ SX2 )
| ~ ( v1_orders_2 @ SX2 )
| ( SX2
!= ( k1_latsum_1 @ SX0 @ SX1 ) )
| ( ( u1_orders_2 @ SX2 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SX0 ) @ ( u1_orders_2 @ SX1 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) @ ( u1_struct_0 @ SX1 ) @ ( u1_orders_2 @ SX0 ) @ ( u1_orders_2 @ SX1 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(222,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(223,plain,
( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY98 )
| ~ ( l1_orders_2 @ sK2_SY98 ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
| ~ ~ ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(224,plain,
( ( ! [SX0: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_struct_0 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK4_B @ SX0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK4_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(225,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(226,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)],[157]) ).
thf(227,plain,
! [SV2: $i] :
( ( ! [SY101: $i] :
( ~ ( r2_hidden @ SV2 @ SY101 )
| ~ ( r2_hidden @ SY101 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(228,plain,
! [SV3: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ~ ( m1_subset_1 @ SY103 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SY102 ) ) )
| ( v1_relat_1 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(229,plain,
! [SV4: $i] :
( ( ! [SY104: $i] :
( ( k2_xboole_0 @ SV4 @ SY104 )
= ( k2_xboole_0 @ SY104 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(230,plain,
! [SV5: $i] :
( ( ! [SY105: $i] :
( ~ ( v1_relat_1 @ SV5 )
| ~ ( v1_relat_1 @ SY105 )
| ( v1_relat_1 @ ( k5_relat_1 @ SV5 @ SY105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(231,plain,
! [SV6: $i] :
( ( ! [SY106: $i,SY107: $i,SY108: $i,SY109: $i,SY110: $i] :
( ~ ( m1_relset_1 @ SY109 @ SV6 @ SY106 )
| ~ ( m1_relset_1 @ SY110 @ SY107 @ SY108 )
| ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SY106 @ SY107 @ SY108 @ SY109 @ SY110 ) @ SV6 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(232,plain,
! [SV7: $i] :
( ( ~ ( l1_orders_2 @ SV7 )
| ( l1_struct_0 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(233,plain,
! [SV8: $i] :
( ( ! [SY111: $i,SY112: $i] :
( ~ ( m2_relset_1 @ SY112 @ SV8 @ SY111 )
| ( m1_subset_1 @ SY112 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV8 @ SY111 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(234,plain,
! [SV9: $i] :
( ( ~ ( l1_orders_2 @ SV9 )
| ( m2_relset_1 @ ( u1_orders_2 @ SV9 ) @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(235,plain,
! [SV10: $i] :
( ( ! [SY113: $i] : ( m1_relset_1 @ ( sK10_C @ SY113 @ SV10 ) @ SV10 @ SY113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(236,plain,
! [SV11: $i] :
( ( m1_subset_1 @ ( sK9_B @ SV11 ) @ SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(237,plain,
! [SV12: $i] :
( ( ! [SY114: $i] : ( m2_relset_1 @ ( sK8_C @ SY114 @ SV12 ) @ SV12 @ SY114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(238,plain,
! [SV13: $i] :
( ( ( v3_struct_0 @ SV13 )
| ~ ( l1_struct_0 @ SV13 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(239,plain,
! [SV14: $i] :
( ( ( v1_xboole_0 @ SV14 )
| ! [SY115: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV14 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(240,plain,
! [SV15: $i] :
( ( ( v1_xboole_0 @ SV15 )
| ! [SY116: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SY116 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(241,plain,
! [SV16: $i] :
( ( ( k2_xboole_0 @ SV16 @ SV16 )
= SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(242,plain,
( ( v1_xboole_0 @ sK6_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(243,plain,
! [SV17: $i] :
( ( ! [SY117: $i,SY118: $i,SY119: $i,SY120: $i,SY121: $i] :
( ~ ( m1_relset_1 @ SY120 @ SV17 @ SY117 )
| ~ ( m1_relset_1 @ SY121 @ SY118 @ SY119 )
| ( ( k7_relset_1 @ SV17 @ SY117 @ SY118 @ SY119 @ SY120 @ SY121 )
= ( k5_relat_1 @ SY120 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(244,plain,
! [SV18: $i] :
( ( r1_tarski @ SV18 @ SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(245,plain,
! [SV19: $i] :
( ( ( k2_xboole_0 @ SV19 @ k1_xboole_0 )
= SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(246,plain,
! [SV20: $i] :
( ( ! [SY122: $i] :
( ~ ( r2_hidden @ SV20 @ SY122 )
| ( m1_subset_1 @ SV20 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(247,plain,
! [SV21: $i] :
( ( ! [SY123: $i] :
( ~ ( m1_subset_1 @ SV21 @ SY123 )
| ( r2_hidden @ SV21 @ SY123 )
| ( v1_xboole_0 @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(248,plain,
! [SV22: $i] :
( ( ! [SY124: $i] :
( ( k2_xboole_0 @ SV22 @ ( k4_xboole_0 @ SY124 @ SV22 ) )
= ( k2_xboole_0 @ SV22 @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(249,plain,
! [SV23: $i] :
( ( ( k4_xboole_0 @ SV23 @ k1_xboole_0 )
= SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(250,plain,
! [SV24: $i] :
( ( ( k4_xboole_0 @ k1_xboole_0 @ SV24 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(251,plain,
! [SV25: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ~ ( m1_subset_1 @ SY125 @ ( k1_zfmisc_1 @ SY126 ) )
| ~ ( r2_hidden @ SV25 @ SY125 )
| ( m1_subset_1 @ SV25 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(252,plain,
! [SV26: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ( m1_subset_1 @ SY127 @ ( k1_zfmisc_1 @ SY128 ) )
| ~ ( r2_hidden @ SV26 @ SY127 )
| ~ ( v1_xboole_0 @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(253,plain,
! [SV27: $i] :
( ( ~ ( v1_xboole_0 @ SV27 )
| ( SV27 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(254,plain,
! [SV28: $i] :
( ( ! [SY129: $i] :
( ~ ( r2_hidden @ SV28 @ SY129 )
| ~ ( v1_xboole_0 @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(255,plain,
! [SV29: $i] :
( ( ! [SY130: $i] :
( ( SV29 = SY130 )
| ~ ( v1_xboole_0 @ SV29 )
| ~ ( v1_xboole_0 @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(256,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(257,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)],[214]) ).
thf(258,plain,
! [SV30: $i] :
( ( ~ ( ~ ! [SY131: $i,SY132: $i] :
( ~ ( m1_relset_1 @ SY132 @ SV30 @ SY131 )
| ( m2_relset_1 @ SY132 @ SV30 @ SY131 ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( m2_relset_1 @ SY134 @ SV30 @ SY133 )
| ( m1_relset_1 @ SY134 @ SV30 @ SY133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(259,plain,
! [SV31: $i] :
( ( ! [SY135: $i] :
( ~ ( m1_relset_1 @ SY135 @ SV31 @ SV31 )
| ~ ( ~ ! [SY136: $i] :
( ! [SY137: $i] :
( ( g1_orders_2 @ SV31 @ SY135 )
!= ( g1_orders_2 @ SY136 @ SY137 ) )
| ( SV31 = SY136 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ( ( g1_orders_2 @ SV31 @ SY135 )
!= ( g1_orders_2 @ SY138 @ SY139 ) )
| ( SY135 = SY139 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(260,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)],[217]) ).
thf(261,plain,
! [SV32: $i] :
( ( ~ ( ~ ! [SY140: $i,SY141: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ( SY141
= ( k2_xboole_0 @ SV32 @ SY140 ) ) )
| ~ ! [SY142: $i,SY143: $i] :
( ( SY143
!= ( k2_xboole_0 @ SV32 @ SY142 ) )
| ~ ( ~ ! [SY144: $i] :
( ~ ( r2_hidden @ SY144 @ SY143 )
| ( r2_hidden @ SY144 @ SV32 )
| ( r2_hidden @ SY144 @ SY142 ) )
| ~ ~ ( ~ ! [SY145: $i] :
( ~ ( r2_hidden @ SY145 @ SV32 )
| ( r2_hidden @ SY145 @ SY143 ) )
| ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SY142 )
| ( r2_hidden @ SX3 @ SY143 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(262,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(263,plain,
( ( ~ ( l1_struct_0 @ sK5_A )
| ~ ~ ( v3_struct_0 @ sK5_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(264,plain,
! [SV33: $i] :
( ( ~ ( l1_orders_2 @ SV33 )
| ! [SY147: $i] :
( ~ ( l1_orders_2 @ SY147 )
| ~ ( ~ ! [SY148: $i] :
( ~ ( l1_orders_2 @ SY148 )
| ~ ( v1_orders_2 @ SY148 )
| ( ( u1_struct_0 @ SY148 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) ) )
| ( ( u1_orders_2 @ SY148 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) ) )
| ( SY148
= ( k1_latsum_1 @ SV33 @ SY147 ) ) )
| ~ ~ ( ~ ! [SY149: $i] :
( ~ ( l1_orders_2 @ SY149 )
| ~ ( v1_orders_2 @ SY149 )
| ( SY149
!= ( k1_latsum_1 @ SV33 @ SY147 ) )
| ( ( u1_struct_0 @ SY149 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) ) ) )
| ~ ! [SY150: $i] :
( ~ ( l1_orders_2 @ SY150 )
| ~ ( v1_orders_2 @ SY150 )
| ( SY150
!= ( k1_latsum_1 @ SV33 @ SY147 ) )
| ( ( u1_orders_2 @ SY150 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(265,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(266,plain,
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY98 )
| ~ ( l1_orders_2 @ sK2_SY98 ) )
| ~ ~ ( ~ ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
| ~ ~ ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(267,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
| ~ ( l1_struct_0 @ SV34 )
| ~ ( ~ ( m1_subset_1 @ ( sK4_B @ SV34 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV34 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK4_B @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(268,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(269,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)],[226]) ).
thf(270,plain,
! [SV35: $i,SV2: $i] :
( ( ~ ( r2_hidden @ SV2 @ SV35 )
| ~ ( r2_hidden @ SV35 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(271,plain,
! [SV36: $i,SV3: $i] :
( ( ! [SY151: $i] :
( ~ ( m1_subset_1 @ SY151 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV36 ) ) )
| ( v1_relat_1 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(272,plain,
! [SV37: $i,SV4: $i] :
( ( ( k2_xboole_0 @ SV4 @ SV37 )
= ( k2_xboole_0 @ SV37 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(273,plain,
! [SV38: $i,SV5: $i] :
( ( ~ ( v1_relat_1 @ SV5 )
| ~ ( v1_relat_1 @ SV38 )
| ( v1_relat_1 @ ( k5_relat_1 @ SV5 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(274,plain,
! [SV39: $i,SV6: $i] :
( ( ! [SY152: $i,SY153: $i,SY154: $i,SY155: $i] :
( ~ ( m1_relset_1 @ SY154 @ SV6 @ SV39 )
| ~ ( m1_relset_1 @ SY155 @ SY152 @ SY153 )
| ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SY152 @ SY153 @ SY154 @ SY155 ) @ SV6 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(275,plain,
! [SV7: $i] :
( ( ( ~ ( l1_orders_2 @ SV7 ) )
= $true )
| ( ( l1_struct_0 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(276,plain,
! [SV40: $i,SV8: $i] :
( ( ! [SY156: $i] :
( ~ ( m2_relset_1 @ SY156 @ SV8 @ SV40 )
| ( m1_subset_1 @ SY156 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV8 @ SV40 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(277,plain,
! [SV9: $i] :
( ( ( ~ ( l1_orders_2 @ SV9 ) )
= $true )
| ( ( m2_relset_1 @ ( u1_orders_2 @ SV9 ) @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(278,plain,
! [SV10: $i,SV41: $i] :
( ( m1_relset_1 @ ( sK10_C @ SV41 @ SV10 ) @ SV10 @ SV41 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(279,plain,
! [SV12: $i,SV42: $i] :
( ( m2_relset_1 @ ( sK8_C @ SV42 @ SV12 ) @ SV12 @ SV42 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(280,plain,
! [SV13: $i] :
( ( ( ( v3_struct_0 @ SV13 )
| ~ ( l1_struct_0 @ SV13 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(281,plain,
! [SV14: $i] :
( ( ( v1_xboole_0 @ SV14 )
= $true )
| ( ( ! [SY115: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV14 @ SY115 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(282,plain,
! [SV15: $i] :
( ( ( v1_xboole_0 @ SV15 )
= $true )
| ( ( ! [SY116: $i] :
~ ( v1_xboole_0 @ ( k2_xboole_0 @ SY116 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(283,plain,
! [SV43: $i,SV17: $i] :
( ( ! [SY157: $i,SY158: $i,SY159: $i,SY160: $i] :
( ~ ( m1_relset_1 @ SY159 @ SV17 @ SV43 )
| ~ ( m1_relset_1 @ SY160 @ SY157 @ SY158 )
| ( ( k7_relset_1 @ SV17 @ SV43 @ SY157 @ SY158 @ SY159 @ SY160 )
= ( k5_relat_1 @ SY159 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(284,plain,
! [SV44: $i,SV20: $i] :
( ( ~ ( r2_hidden @ SV20 @ SV44 )
| ( m1_subset_1 @ SV20 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(285,plain,
! [SV45: $i,SV21: $i] :
( ( ~ ( m1_subset_1 @ SV21 @ SV45 )
| ( r2_hidden @ SV21 @ SV45 )
| ( v1_xboole_0 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(286,plain,
! [SV46: $i,SV22: $i] :
( ( ( k2_xboole_0 @ SV22 @ ( k4_xboole_0 @ SV46 @ SV22 ) )
= ( k2_xboole_0 @ SV22 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(287,plain,
! [SV25: $i,SV47: $i] :
( ( ! [SY161: $i] :
( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SY161 ) )
| ~ ( r2_hidden @ SV25 @ SV47 )
| ( m1_subset_1 @ SV25 @ SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(288,plain,
! [SV26: $i,SV48: $i] :
( ( ! [SY162: $i] :
( ~ ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ SY162 ) )
| ~ ( r2_hidden @ SV26 @ SV48 )
| ~ ( v1_xboole_0 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(289,plain,
! [SV27: $i] :
( ( ( ~ ( v1_xboole_0 @ SV27 ) )
= $true )
| ( ( SV27 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(290,plain,
! [SV49: $i,SV28: $i] :
( ( ~ ( r2_hidden @ SV28 @ SV49 )
| ~ ( v1_xboole_0 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(291,plain,
! [SV50: $i,SV29: $i] :
( ( ( SV29 = SV50 )
| ~ ( v1_xboole_0 @ SV29 )
| ~ ( v1_xboole_0 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(292,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)],[257]) ).
thf(293,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)],[257]) ).
thf(294,plain,
! [SV30: $i] :
( ( ~ ! [SY131: $i,SY132: $i] :
( ~ ( m1_relset_1 @ SY132 @ SV30 @ SY131 )
| ( m2_relset_1 @ SY132 @ SV30 @ SY131 ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( m2_relset_1 @ SY134 @ SV30 @ SY133 )
| ( m1_relset_1 @ SY134 @ SV30 @ SY133 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(295,plain,
! [SV31: $i,SV51: $i] :
( ( ~ ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
| ~ ( ~ ! [SY163: $i] :
( ! [SY164: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY163 @ SY164 ) )
| ( SV31 = SY163 ) )
| ~ ! [SY165: $i,SY166: $i] :
( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY165 @ SY166 ) )
| ( SV51 = SY166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(296,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)],[260]) ).
thf(297,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)],[260]) ).
thf(298,plain,
! [SV32: $i] :
( ( ~ ! [SY140: $i,SY141: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ( SY141
= ( k2_xboole_0 @ SV32 @ SY140 ) ) )
| ~ ! [SY142: $i,SY143: $i] :
( ( SY143
!= ( k2_xboole_0 @ SV32 @ SY142 ) )
| ~ ( ~ ! [SY144: $i] :
( ~ ( r2_hidden @ SY144 @ SY143 )
| ( r2_hidden @ SY144 @ SV32 )
| ( r2_hidden @ SY144 @ SY142 ) )
| ~ ~ ( ~ ! [SY145: $i] :
( ~ ( r2_hidden @ SY145 @ SV32 )
| ( r2_hidden @ SY145 @ SY143 ) )
| ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SY142 )
| ( r2_hidden @ SX3 @ SY143 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(299,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(300,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(301,plain,
( ( ~ ( l1_struct_0 @ sK5_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(302,plain,
( ( ~ ~ ( v3_struct_0 @ sK5_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(303,plain,
! [SV33: $i] :
( ( ( ~ ( l1_orders_2 @ SV33 ) )
= $true )
| ( ( ! [SY147: $i] :
( ~ ( l1_orders_2 @ SY147 )
| ~ ( ~ ! [SY148: $i] :
( ~ ( l1_orders_2 @ SY148 )
| ~ ( v1_orders_2 @ SY148 )
| ( ( u1_struct_0 @ SY148 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) ) )
| ( ( u1_orders_2 @ SY148 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) ) )
| ( SY148
= ( k1_latsum_1 @ SV33 @ SY147 ) ) )
| ~ ~ ( ~ ! [SY149: $i] :
( ~ ( l1_orders_2 @ SY149 )
| ~ ( v1_orders_2 @ SY149 )
| ( SY149
!= ( k1_latsum_1 @ SV33 @ SY147 ) )
| ( ( u1_struct_0 @ SY149 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) ) ) )
| ~ ! [SY150: $i] :
( ~ ( l1_orders_2 @ SY150 )
| ~ ( v1_orders_2 @ SY150 )
| ( SY150
!= ( k1_latsum_1 @ SV33 @ SY147 ) )
| ( ( u1_orders_2 @ SY150 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(304,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(305,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(306,plain,
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK2_SY98 )
| ~ ( l1_orders_2 @ sK2_SY98 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(307,plain,
( ( ~ ~ ( ~ ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
| ~ ~ ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(308,plain,
! [SV34: $i] :
( ( ( ( v3_struct_0 @ SV34 )
| ~ ( l1_struct_0 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK4_B @ SV34 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV34 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK4_B @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(309,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(310,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(311,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)],[269]) ).
thf(312,plain,
! [SV35: $i,SV2: $i] :
( ( ( ~ ( r2_hidden @ SV2 @ SV35 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV35 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(313,plain,
! [SV36: $i,SV3: $i,SV52: $i] :
( ( ~ ( m1_subset_1 @ SV52 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV36 ) ) )
| ( v1_relat_1 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(314,plain,
! [SV38: $i,SV5: $i] :
( ( ( ~ ( v1_relat_1 @ SV5 )
| ~ ( v1_relat_1 @ SV38 ) )
= $true )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV5 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(315,plain,
! [SV53: $i,SV39: $i,SV6: $i] :
( ( ! [SY167: $i,SY168: $i,SY169: $i] :
( ~ ( m1_relset_1 @ SY168 @ SV6 @ SV39 )
| ~ ( m1_relset_1 @ SY169 @ SV53 @ SY167 )
| ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SY167 @ SY168 @ SY169 ) @ SV6 @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(316,plain,
! [SV7: $i] :
( ( ( l1_orders_2 @ SV7 )
= $false )
| ( ( l1_struct_0 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(317,plain,
! [SV40: $i,SV8: $i,SV54: $i] :
( ( ~ ( m2_relset_1 @ SV54 @ SV8 @ SV40 )
| ( m1_subset_1 @ SV54 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV8 @ SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(318,plain,
! [SV9: $i] :
( ( ( l1_orders_2 @ SV9 )
= $false )
| ( ( m2_relset_1 @ ( u1_orders_2 @ SV9 ) @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(319,plain,
! [SV13: $i] :
( ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV13 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(320,plain,
! [SV55: $i,SV14: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV14 @ SV55 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(321,plain,
! [SV15: $i,SV56: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV56 @ SV15 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(322,plain,
! [SV57: $i,SV43: $i,SV17: $i] :
( ( ! [SY170: $i,SY171: $i,SY172: $i] :
( ~ ( m1_relset_1 @ SY171 @ SV17 @ SV43 )
| ~ ( m1_relset_1 @ SY172 @ SV57 @ SY170 )
| ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SY170 @ SY171 @ SY172 )
= ( k5_relat_1 @ SY171 @ SY172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(323,plain,
! [SV44: $i,SV20: $i] :
( ( ( ~ ( r2_hidden @ SV20 @ SV44 ) )
= $true )
| ( ( m1_subset_1 @ SV20 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(324,plain,
! [SV45: $i,SV21: $i] :
( ( ( ~ ( m1_subset_1 @ SV21 @ SV45 ) )
= $true )
| ( ( ( r2_hidden @ SV21 @ SV45 )
| ( v1_xboole_0 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(325,plain,
! [SV25: $i,SV58: $i,SV47: $i] :
( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV58 ) )
| ~ ( r2_hidden @ SV25 @ SV47 )
| ( m1_subset_1 @ SV25 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(326,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ~ ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ SV59 ) )
| ~ ( r2_hidden @ SV26 @ SV48 )
| ~ ( v1_xboole_0 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(327,plain,
! [SV27: $i] :
( ( ( v1_xboole_0 @ SV27 )
= $false )
| ( ( SV27 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(328,plain,
! [SV49: $i,SV28: $i] :
( ( ( ~ ( r2_hidden @ SV28 @ SV49 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(329,plain,
! [SV50: $i,SV29: $i] :
( ( ( ( SV29 = SV50 )
| ~ ( v1_xboole_0 @ SV29 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(330,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)],[292]) ).
thf(331,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)],[293]) ).
thf(332,plain,
! [SV30: $i] :
( ( ~ ! [SY131: $i,SY132: $i] :
( ~ ( m1_relset_1 @ SY132 @ SV30 @ SY131 )
| ( m2_relset_1 @ SY132 @ SV30 @ SY131 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(333,plain,
! [SV30: $i] :
( ( ~ ! [SY133: $i,SY134: $i] :
( ~ ( m2_relset_1 @ SY134 @ SV30 @ SY133 )
| ( m1_relset_1 @ SY134 @ SV30 @ SY133 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(334,plain,
! [SV31: $i,SV51: $i] :
( ( ( ~ ( m1_relset_1 @ SV51 @ SV31 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ! [SY163: $i] :
( ! [SY164: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY163 @ SY164 ) )
| ( SV31 = SY163 ) )
| ~ ! [SY165: $i,SY166: $i] :
( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY165 @ SY166 ) )
| ( SV51 = SY166 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(335,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)],[296]) ).
thf(336,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)],[297]) ).
thf(337,plain,
! [SV32: $i] :
( ( ~ ! [SY140: $i,SY141: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ( SY141
= ( k2_xboole_0 @ SV32 @ SY140 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(338,plain,
! [SV32: $i] :
( ( ~ ! [SY142: $i,SY143: $i] :
( ( SY143
!= ( k2_xboole_0 @ SV32 @ SY142 ) )
| ~ ( ~ ! [SY144: $i] :
( ~ ( r2_hidden @ SY144 @ SY143 )
| ( r2_hidden @ SY144 @ SV32 )
| ( r2_hidden @ SY144 @ SY142 ) )
| ~ ~ ( ~ ! [SY145: $i] :
( ~ ( r2_hidden @ SY145 @ SV32 )
| ( r2_hidden @ SY145 @ SY143 ) )
| ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SY142 )
| ( r2_hidden @ SX3 @ SY143 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(339,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(340,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( l1_orders_2 @ SX0 )
| ( v3_struct_0 @ SX1 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(341,plain,
( ( l1_struct_0 @ sK5_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(342,plain,
( ( ~ ( v3_struct_0 @ sK5_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(343,plain,
! [SV33: $i] :
( ( ( l1_orders_2 @ SV33 )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( l1_orders_2 @ SY147 )
| ~ ( ~ ! [SY148: $i] :
( ~ ( l1_orders_2 @ SY148 )
| ~ ( v1_orders_2 @ SY148 )
| ( ( u1_struct_0 @ SY148 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) ) )
| ( ( u1_orders_2 @ SY148 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) ) )
| ( SY148
= ( k1_latsum_1 @ SV33 @ SY147 ) ) )
| ~ ~ ( ~ ! [SY149: $i] :
( ~ ( l1_orders_2 @ SY149 )
| ~ ( v1_orders_2 @ SY149 )
| ( SY149
!= ( k1_latsum_1 @ SV33 @ SY147 ) )
| ( ( u1_struct_0 @ SY149 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) ) ) )
| ~ ! [SY150: $i] :
( ~ ( l1_orders_2 @ SY150 )
| ~ ( v1_orders_2 @ SY150 )
| ( SY150
!= ( k1_latsum_1 @ SV33 @ SY147 ) )
| ( ( u1_orders_2 @ SY150 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_struct_0 @ SY147 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SY147 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(344,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(345,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( v3_struct_0 @ SX0 )
| ~ ( l1_orders_2 @ SX0 )
| ~ ( l1_orders_2 @ SX1 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(346,plain,
( ( ~ ( ~ ~ ( v3_struct_0 @ sK2_SY98 )
| ~ ( l1_orders_2 @ sK2_SY98 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(347,plain,
( ( ~ ( ~ ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
| ~ ~ ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(348,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK4_B @ SV34 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV34 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK4_B @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(349,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(350,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(351,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)],[311]) ).
thf(352,plain,
! [SV35: $i,SV2: $i] :
( ( ( r2_hidden @ SV2 @ SV35 )
= $false )
| ( ( ~ ( r2_hidden @ SV35 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(353,plain,
! [SV36: $i,SV3: $i,SV52: $i] :
( ( ( ~ ( m1_subset_1 @ SV52 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV36 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(354,plain,
! [SV38: $i,SV5: $i] :
( ( ( ~ ( v1_relat_1 @ SV5 ) )
= $true )
| ( ( ~ ( v1_relat_1 @ SV38 ) )
= $true )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV5 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(355,plain,
! [SV60: $i,SV53: $i,SV39: $i,SV6: $i] :
( ( ! [SY173: $i,SY174: $i] :
( ~ ( m1_relset_1 @ SY173 @ SV6 @ SV39 )
| ~ ( m1_relset_1 @ SY174 @ SV53 @ SV60 )
| ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SV60 @ SY173 @ SY174 ) @ SV6 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(356,plain,
! [SV40: $i,SV8: $i,SV54: $i] :
( ( ( ~ ( m2_relset_1 @ SV54 @ SV8 @ SV40 ) )
= $true )
| ( ( m1_subset_1 @ SV54 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV8 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(357,plain,
! [SV13: $i] :
( ( ( l1_struct_0 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(358,plain,
! [SV55: $i,SV14: $i] :
( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV14 @ SV55 ) )
= $false )
| ( ( v1_xboole_0 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(359,plain,
! [SV15: $i,SV56: $i] :
( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV56 @ SV15 ) )
= $false )
| ( ( v1_xboole_0 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(360,plain,
! [SV61: $i,SV57: $i,SV43: $i,SV17: $i] :
( ( ! [SY175: $i,SY176: $i] :
( ~ ( m1_relset_1 @ SY175 @ SV17 @ SV43 )
| ~ ( m1_relset_1 @ SY176 @ SV57 @ SV61 )
| ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SV61 @ SY175 @ SY176 )
= ( k5_relat_1 @ SY175 @ SY176 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(361,plain,
! [SV44: $i,SV20: $i] :
( ( ( r2_hidden @ SV20 @ SV44 )
= $false )
| ( ( m1_subset_1 @ SV20 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(362,plain,
! [SV45: $i,SV21: $i] :
( ( ( m1_subset_1 @ SV21 @ SV45 )
= $false )
| ( ( ( r2_hidden @ SV21 @ SV45 )
| ( v1_xboole_0 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(363,plain,
! [SV25: $i,SV58: $i,SV47: $i] :
( ( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV58 ) )
| ~ ( r2_hidden @ SV25 @ SV47 ) )
= $true )
| ( ( m1_subset_1 @ SV25 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(364,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ( ~ ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ SV59 ) )
| ~ ( r2_hidden @ SV26 @ SV48 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(365,plain,
! [SV49: $i,SV28: $i] :
( ( ( r2_hidden @ SV28 @ SV49 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(366,plain,
! [SV50: $i,SV29: $i] :
( ( ( SV29 = SV50 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV29 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(367,plain,
! [SV62: $i] :
( ( ! [SY177: $i] :
( ~ ( m1_relset_1 @ SY177 @ SV62 @ SV62 )
| ( l1_orders_2 @ ( g1_orders_2 @ SV62 @ SY177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(368,plain,
! [SV63: $i] :
( ( ! [SY178: $i] :
( ~ ( m1_relset_1 @ SY178 @ SV63 @ SV63 )
| ( v1_orders_2 @ ( g1_orders_2 @ SV63 @ SY178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(369,plain,
! [SV30: $i] :
( ( ! [SY131: $i,SY132: $i] :
( ~ ( m1_relset_1 @ SY132 @ SV30 @ SY131 )
| ( m2_relset_1 @ SY132 @ SV30 @ SY131 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(370,plain,
! [SV30: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ~ ( m2_relset_1 @ SY134 @ SV30 @ SY133 )
| ( m1_relset_1 @ SY134 @ SV30 @ SY133 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(371,plain,
! [SV31: $i,SV51: $i] :
( ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false )
| ( ( ~ ( ~ ! [SY163: $i] :
( ! [SY164: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY163 @ SY164 ) )
| ( SV31 = SY163 ) )
| ~ ! [SY165: $i,SY166: $i] :
( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY165 @ SY166 ) )
| ( SV51 = SY166 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(372,plain,
! [SV64: $i] :
( ( ! [SY179: $i] :
( ~ ( l1_orders_2 @ SV64 )
| ~ ( l1_orders_2 @ SY179 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SV64 @ SY179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(373,plain,
! [SV65: $i] :
( ( ! [SY180: $i] :
( ~ ( l1_orders_2 @ SV65 )
| ~ ( l1_orders_2 @ SY180 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV65 @ SY180 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(374,plain,
! [SV32: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ~ ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY141 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SY141 @ SY140 @ SV32 ) @ SY140 ) ) )
| ( SY141
= ( k2_xboole_0 @ SV32 @ SY140 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(375,plain,
! [SV32: $i] :
( ( ! [SY142: $i,SY143: $i] :
( ( SY143
!= ( k2_xboole_0 @ SV32 @ SY142 ) )
| ~ ( ~ ! [SY144: $i] :
( ~ ( r2_hidden @ SY144 @ SY143 )
| ( r2_hidden @ SY144 @ SV32 )
| ( r2_hidden @ SY144 @ SY142 ) )
| ~ ~ ( ~ ! [SY145: $i] :
( ~ ( r2_hidden @ SY145 @ SV32 )
| ( r2_hidden @ SY145 @ SY143 ) )
| ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SY142 )
| ( r2_hidden @ SX3 @ SY143 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(376,plain,
! [SV66: $i] :
( ( ! [SY181: $i] :
( ~ ( l1_orders_2 @ SV66 )
| ( v3_struct_0 @ SY181 )
| ~ ( l1_orders_2 @ SY181 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SY181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(377,plain,
! [SV67: $i] :
( ( ! [SY182: $i] :
( ~ ( l1_orders_2 @ SV67 )
| ( v3_struct_0 @ SY182 )
| ~ ( l1_orders_2 @ SY182 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV67 @ SY182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(378,plain,
( ( v3_struct_0 @ sK5_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(379,plain,
! [SV33: $i,SV68: $i] :
( ( ( ~ ( l1_orders_2 @ SV68 )
| ~ ( ~ ! [SY183: $i] :
( ~ ( l1_orders_2 @ SY183 )
| ~ ( v1_orders_2 @ SY183 )
| ( ( u1_struct_0 @ SY183 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SY183 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SY183
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
| ~ ~ ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(380,plain,
! [SV69: $i] :
( ( ! [SY186: $i] :
( ( v3_struct_0 @ SV69 )
| ~ ( l1_orders_2 @ SV69 )
| ~ ( l1_orders_2 @ SY186 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SY186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(381,plain,
! [SV70: $i] :
( ( ! [SY187: $i] :
( ( v3_struct_0 @ SV70 )
| ~ ( l1_orders_2 @ SV70 )
| ~ ( l1_orders_2 @ SY187 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV70 @ SY187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(382,plain,
( ( ~ ~ ( v3_struct_0 @ sK2_SY98 )
| ~ ( l1_orders_2 @ sK2_SY98 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(383,plain,
( ( ~ ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
| ~ ~ ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(384,plain,
! [SV34: $i] :
( ( ( l1_struct_0 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK4_B @ SV34 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV34 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK4_B @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(385,plain,
! [SV71: $i] :
( ( ! [SY188: $i] :
( ~ ( m1_subset_1 @ SV71 @ ( k1_zfmisc_1 @ SY188 ) )
| ( r1_tarski @ SV71 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(386,plain,
! [SV72: $i] :
( ( ! [SY189: $i] :
( ~ ( r1_tarski @ SV72 @ SY189 )
| ( m1_subset_1 @ SV72 @ ( k1_zfmisc_1 @ SY189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(387,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)],[351]) ).
thf(388,plain,
! [SV2: $i,SV35: $i] :
( ( ( r2_hidden @ SV35 @ SV2 )
= $false )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(389,plain,
! [SV36: $i,SV3: $i,SV52: $i] :
( ( ( m1_subset_1 @ SV52 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV3 @ SV36 ) ) )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(390,plain,
! [SV38: $i,SV5: $i] :
( ( ( v1_relat_1 @ SV5 )
= $false )
| ( ( ~ ( v1_relat_1 @ SV38 ) )
= $true )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV5 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(391,plain,
! [SV60: $i,SV53: $i,SV39: $i,SV6: $i,SV73: $i] :
( ( ! [SY190: $i] :
( ~ ( m1_relset_1 @ SV73 @ SV6 @ SV39 )
| ~ ( m1_relset_1 @ SY190 @ SV53 @ SV60 )
| ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SV60 @ SV73 @ SY190 ) @ SV6 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(392,plain,
! [SV40: $i,SV8: $i,SV54: $i] :
( ( ( m2_relset_1 @ SV54 @ SV8 @ SV40 )
= $false )
| ( ( m1_subset_1 @ SV54 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV8 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(393,plain,
! [SV13: $i] :
( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( l1_struct_0 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(394,plain,
! [SV61: $i,SV57: $i,SV43: $i,SV17: $i,SV74: $i] :
( ( ! [SY191: $i] :
( ~ ( m1_relset_1 @ SV74 @ SV17 @ SV43 )
| ~ ( m1_relset_1 @ SY191 @ SV57 @ SV61 )
| ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SV61 @ SV74 @ SY191 )
= ( k5_relat_1 @ SV74 @ SY191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(395,plain,
! [SV45: $i,SV21: $i] :
( ( ( r2_hidden @ SV21 @ SV45 )
= $true )
| ( ( v1_xboole_0 @ SV45 )
= $true )
| ( ( m1_subset_1 @ SV21 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(396,plain,
! [SV25: $i,SV58: $i,SV47: $i] :
( ( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV58 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV25 @ SV47 ) )
= $true )
| ( ( m1_subset_1 @ SV25 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(397,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ( ~ ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ SV59 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV26 @ SV48 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(398,plain,
! [SV28: $i,SV49: $i] :
( ( ( v1_xboole_0 @ SV49 )
= $false )
| ( ( r2_hidden @ SV28 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(399,plain,
! [SV50: $i,SV29: $i] :
( ( ( v1_xboole_0 @ SV29 )
= $false )
| ( ( SV29 = SV50 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(400,plain,
! [SV62: $i,SV75: $i] :
( ( ~ ( m1_relset_1 @ SV75 @ SV62 @ SV62 )
| ( l1_orders_2 @ ( g1_orders_2 @ SV62 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(401,plain,
! [SV63: $i,SV76: $i] :
( ( ~ ( m1_relset_1 @ SV76 @ SV63 @ SV63 )
| ( v1_orders_2 @ ( g1_orders_2 @ SV63 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(402,plain,
! [SV77: $i,SV30: $i] :
( ( ! [SY192: $i] :
( ~ ( m1_relset_1 @ SY192 @ SV30 @ SV77 )
| ( m2_relset_1 @ SY192 @ SV30 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(403,plain,
! [SV78: $i,SV30: $i] :
( ( ! [SY193: $i] :
( ~ ( m2_relset_1 @ SY193 @ SV30 @ SV78 )
| ( m1_relset_1 @ SY193 @ SV30 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(404,plain,
! [SV51: $i,SV31: $i] :
( ( ( ~ ! [SY163: $i] :
( ! [SY164: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY163 @ SY164 ) )
| ( SV31 = SY163 ) )
| ~ ! [SY165: $i,SY166: $i] :
( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY165 @ SY166 ) )
| ( SV51 = SY166 ) ) )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(405,plain,
! [SV79: $i,SV64: $i] :
( ( ~ ( l1_orders_2 @ SV64 )
| ~ ( l1_orders_2 @ SV79 )
| ( l1_orders_2 @ ( k1_latsum_1 @ SV64 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(406,plain,
! [SV80: $i,SV65: $i] :
( ( ~ ( l1_orders_2 @ SV65 )
| ~ ( l1_orders_2 @ SV80 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV65 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(407,plain,
! [SV32: $i,SV81: $i] :
( ( ! [SY194: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SY194 @ SV81 @ SV32 ) @ SY194 )
| ~ ( r2_hidden @ ( sK13_D @ SY194 @ SV81 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SY194 @ SV81 @ SV32 ) @ SY194 )
| ~ ( r2_hidden @ ( sK13_D @ SY194 @ SV81 @ SV32 ) @ SV81 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SY194 @ SV81 @ SV32 ) @ SY194 )
| ( r2_hidden @ ( sK13_D @ SY194 @ SV81 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SY194 @ SV81 @ SV32 ) @ SV81 ) ) )
| ( SY194
= ( k2_xboole_0 @ SV32 @ SV81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(408,plain,
! [SV82: $i,SV32: $i] :
( ( ! [SY195: $i] :
( ( SY195
!= ( k2_xboole_0 @ SV32 @ SV82 ) )
| ~ ( ~ ! [SY196: $i] :
( ~ ( r2_hidden @ SY196 @ SY195 )
| ( r2_hidden @ SY196 @ SV32 )
| ( r2_hidden @ SY196 @ SV82 ) )
| ~ ~ ( ~ ! [SY145: $i] :
( ~ ( r2_hidden @ SY145 @ SV32 )
| ( r2_hidden @ SY145 @ SY195 ) )
| ~ ! [SY198: $i] :
( ~ ( r2_hidden @ SY198 @ SV82 )
| ( r2_hidden @ SY198 @ SY195 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(409,plain,
! [SV83: $i,SV66: $i] :
( ( ~ ( l1_orders_2 @ SV66 )
| ( v3_struct_0 @ SV83 )
| ~ ( l1_orders_2 @ SV83 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(410,plain,
! [SV84: $i,SV67: $i] :
( ( ~ ( l1_orders_2 @ SV67 )
| ( v3_struct_0 @ SV84 )
| ~ ( l1_orders_2 @ SV84 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV67 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(411,plain,
! [SV33: $i,SV68: $i] :
( ( ( ~ ( l1_orders_2 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ! [SY183: $i] :
( ~ ( l1_orders_2 @ SY183 )
| ~ ( v1_orders_2 @ SY183 )
| ( ( u1_struct_0 @ SY183 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SY183 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SY183
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
| ~ ~ ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(412,plain,
! [SV85: $i,SV69: $i] :
( ( ( v3_struct_0 @ SV69 )
| ~ ( l1_orders_2 @ SV69 )
| ~ ( l1_orders_2 @ SV85 )
| ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(413,plain,
! [SV86: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
| ~ ( l1_orders_2 @ SV70 )
| ~ ( l1_orders_2 @ SV86 )
| ( v1_orders_2 @ ( k1_latsum_1 @ SV70 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(414,plain,
( ( ~ ~ ( v3_struct_0 @ sK2_SY98 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(415,plain,
( ( ~ ( l1_orders_2 @ sK2_SY98 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(416,plain,
( ( ~ ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(417,plain,
( ( ~ ~ ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(418,plain,
! [SV34: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK4_B @ SV34 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV34 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK4_B @ SV34 ) ) )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_struct_0 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(419,plain,
! [SV87: $i,SV71: $i] :
( ( ~ ( m1_subset_1 @ SV71 @ ( k1_zfmisc_1 @ SV87 ) )
| ( r1_tarski @ SV71 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(420,plain,
! [SV88: $i,SV72: $i] :
( ( ~ ( r1_tarski @ SV72 @ SV88 )
| ( m1_subset_1 @ SV72 @ ( k1_zfmisc_1 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(421,plain,
! [SV5: $i,SV38: $i] :
( ( ( v1_relat_1 @ SV38 )
= $false )
| ( ( v1_relat_1 @ SV5 )
= $false )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV5 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(422,plain,
! [SV60: $i,SV53: $i,SV89: $i,SV39: $i,SV6: $i,SV73: $i] :
( ( ~ ( m1_relset_1 @ SV73 @ SV6 @ SV39 )
| ~ ( m1_relset_1 @ SV89 @ SV53 @ SV60 )
| ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SV60 @ SV73 @ SV89 ) @ SV6 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(423,plain,
! [SV61: $i,SV57: $i,SV90: $i,SV43: $i,SV17: $i,SV74: $i] :
( ( ~ ( m1_relset_1 @ SV74 @ SV17 @ SV43 )
| ~ ( m1_relset_1 @ SV90 @ SV57 @ SV61 )
| ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SV61 @ SV74 @ SV90 )
= ( k5_relat_1 @ SV74 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(424,plain,
! [SV25: $i,SV58: $i,SV47: $i] :
( ( ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV58 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV25 @ SV47 ) )
= $true )
| ( ( m1_subset_1 @ SV25 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(425,plain,
! [SV26: $i,SV59: $i,SV48: $i] :
( ( ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ SV59 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV26 @ SV48 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(426,plain,
! [SV29: $i,SV50: $i] :
( ( ( v1_xboole_0 @ SV50 )
= $false )
| ( ( SV29 = SV50 )
= $true )
| ( ( v1_xboole_0 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(427,plain,
! [SV62: $i,SV75: $i] :
( ( ( ~ ( m1_relset_1 @ SV75 @ SV62 @ SV62 ) )
= $true )
| ( ( l1_orders_2 @ ( g1_orders_2 @ SV62 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(428,plain,
! [SV63: $i,SV76: $i] :
( ( ( ~ ( m1_relset_1 @ SV76 @ SV63 @ SV63 ) )
= $true )
| ( ( v1_orders_2 @ ( g1_orders_2 @ SV63 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(429,plain,
! [SV77: $i,SV30: $i,SV91: $i] :
( ( ~ ( m1_relset_1 @ SV91 @ SV30 @ SV77 )
| ( m2_relset_1 @ SV91 @ SV30 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(430,plain,
! [SV78: $i,SV30: $i,SV92: $i] :
( ( ~ ( m2_relset_1 @ SV92 @ SV30 @ SV78 )
| ( m1_relset_1 @ SV92 @ SV30 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(431,plain,
! [SV51: $i,SV31: $i] :
( ( ( ~ ! [SY163: $i] :
( ! [SY164: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY163 @ SY164 ) )
| ( SV31 = SY163 ) ) )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(432,plain,
! [SV51: $i,SV31: $i] :
( ( ( ~ ! [SY165: $i,SY166: $i] :
( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY165 @ SY166 ) )
| ( SV51 = SY166 ) ) )
= $false )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(433,plain,
! [SV79: $i,SV64: $i] :
( ( ( ~ ( l1_orders_2 @ SV64 )
| ~ ( l1_orders_2 @ SV79 ) )
= $true )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV64 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(434,plain,
! [SV80: $i,SV65: $i] :
( ( ( ~ ( l1_orders_2 @ SV65 )
| ~ ( l1_orders_2 @ SV80 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV65 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(435,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
| ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(436,plain,
! [SV82: $i,SV32: $i,SV94: $i] :
( ( ( SV94
!= ( k2_xboole_0 @ SV32 @ SV82 ) )
| ~ ( ~ ! [SY199: $i] :
( ~ ( r2_hidden @ SY199 @ SV94 )
| ( r2_hidden @ SY199 @ SV32 )
| ( r2_hidden @ SY199 @ SV82 ) )
| ~ ~ ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) )
| ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(437,plain,
! [SV83: $i,SV66: $i] :
( ( ( ~ ( l1_orders_2 @ SV66 )
| ( v3_struct_0 @ SV83 )
| ~ ( l1_orders_2 @ SV83 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SV83 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(438,plain,
! [SV84: $i,SV67: $i] :
( ( ( ~ ( l1_orders_2 @ SV67 )
| ( v3_struct_0 @ SV84 )
| ~ ( l1_orders_2 @ SV84 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV67 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(439,plain,
! [SV33: $i,SV68: $i] :
( ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( ~ ( ~ ! [SY183: $i] :
( ~ ( l1_orders_2 @ SY183 )
| ~ ( v1_orders_2 @ SY183 )
| ( ( u1_struct_0 @ SY183 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SY183 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SY183
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
| ~ ~ ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(440,plain,
! [SV85: $i,SV69: $i] :
( ( ( ( v3_struct_0 @ SV69 )
| ~ ( l1_orders_2 @ SV69 )
| ~ ( l1_orders_2 @ SV85 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(441,plain,
! [SV86: $i,SV70: $i] :
( ( ( ( v3_struct_0 @ SV70 )
| ~ ( l1_orders_2 @ SV70 )
| ~ ( l1_orders_2 @ SV86 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV70 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(442,plain,
( ( ~ ( v3_struct_0 @ sK2_SY98 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(443,plain,
( ( l1_orders_2 @ sK2_SY98 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(444,plain,
( ( m1_subset_1 @ sK3_SY100 @ ( u1_struct_0 @ ( k1_latsum_1 @ sK1_A @ sK2_SY98 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(445,plain,
( ( ~ ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(446,plain,
! [SV34: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK4_B @ SV34 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV34 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_struct_0 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(447,plain,
! [SV34: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK4_B @ SV34 ) ) )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_struct_0 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(448,plain,
! [SV87: $i,SV71: $i] :
( ( ( ~ ( m1_subset_1 @ SV71 @ ( k1_zfmisc_1 @ SV87 ) ) )
= $true )
| ( ( r1_tarski @ SV71 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(449,plain,
! [SV88: $i,SV72: $i] :
( ( ( ~ ( r1_tarski @ SV72 @ SV88 ) )
= $true )
| ( ( m1_subset_1 @ SV72 @ ( k1_zfmisc_1 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(450,plain,
! [SV60: $i,SV53: $i,SV89: $i,SV39: $i,SV6: $i,SV73: $i] :
( ( ( ~ ( m1_relset_1 @ SV73 @ SV6 @ SV39 )
| ~ ( m1_relset_1 @ SV89 @ SV53 @ SV60 ) )
= $true )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SV60 @ SV73 @ SV89 ) @ SV6 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(451,plain,
! [SV61: $i,SV57: $i,SV90: $i,SV43: $i,SV17: $i,SV74: $i] :
( ( ( ~ ( m1_relset_1 @ SV74 @ SV17 @ SV43 )
| ~ ( m1_relset_1 @ SV90 @ SV57 @ SV61 ) )
= $true )
| ( ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SV61 @ SV74 @ SV90 )
= ( k5_relat_1 @ SV74 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(452,plain,
! [SV58: $i,SV47: $i,SV25: $i] :
( ( ( r2_hidden @ SV25 @ SV47 )
= $false )
| ( ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV58 ) )
= $false )
| ( ( m1_subset_1 @ SV25 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(453,plain,
! [SV59: $i,SV48: $i,SV26: $i] :
( ( ( r2_hidden @ SV26 @ SV48 )
= $false )
| ( ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ SV59 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(454,plain,
! [SV62: $i,SV75: $i] :
( ( ( m1_relset_1 @ SV75 @ SV62 @ SV62 )
= $false )
| ( ( l1_orders_2 @ ( g1_orders_2 @ SV62 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(455,plain,
! [SV63: $i,SV76: $i] :
( ( ( m1_relset_1 @ SV76 @ SV63 @ SV63 )
= $false )
| ( ( v1_orders_2 @ ( g1_orders_2 @ SV63 @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(456,plain,
! [SV77: $i,SV30: $i,SV91: $i] :
( ( ( ~ ( m1_relset_1 @ SV91 @ SV30 @ SV77 ) )
= $true )
| ( ( m2_relset_1 @ SV91 @ SV30 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(457,plain,
! [SV78: $i,SV30: $i,SV92: $i] :
( ( ( ~ ( m2_relset_1 @ SV92 @ SV30 @ SV78 ) )
= $true )
| ( ( m1_relset_1 @ SV92 @ SV30 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(458,plain,
! [SV51: $i,SV31: $i] :
( ( ( ! [SY163: $i] :
( ! [SY164: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY163 @ SY164 ) )
| ( SV31 = SY163 ) ) )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(459,plain,
! [SV51: $i,SV31: $i] :
( ( ( ! [SY165: $i,SY166: $i] :
( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SY165 @ SY166 ) )
| ( SV51 = SY166 ) ) )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(460,plain,
! [SV79: $i,SV64: $i] :
( ( ( ~ ( l1_orders_2 @ SV64 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV79 ) )
= $true )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV64 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(461,plain,
! [SV80: $i,SV65: $i] :
( ( ( ~ ( l1_orders_2 @ SV65 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV80 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV65 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(462,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(463,plain,
! [SV82: $i,SV32: $i,SV94: $i] :
( ( ( ( SV94
!= ( k2_xboole_0 @ SV32 @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY199: $i] :
( ~ ( r2_hidden @ SY199 @ SV94 )
| ( r2_hidden @ SY199 @ SV32 )
| ( r2_hidden @ SY199 @ SV82 ) )
| ~ ~ ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) )
| ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(464,plain,
! [SV83: $i,SV66: $i] :
( ( ( ~ ( l1_orders_2 @ SV66 )
| ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV83 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SV83 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(465,plain,
! [SV84: $i,SV67: $i] :
( ( ( ~ ( l1_orders_2 @ SV67 )
| ( v3_struct_0 @ SV84 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV84 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV67 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(466,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ! [SY183: $i] :
( ~ ( l1_orders_2 @ SY183 )
| ~ ( v1_orders_2 @ SY183 )
| ( ( u1_struct_0 @ SY183 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SY183 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SY183
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
| ~ ~ ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) ) )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(467,plain,
! [SV85: $i,SV69: $i] :
( ( ( ( v3_struct_0 @ SV69 )
| ~ ( l1_orders_2 @ SV69 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV85 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(468,plain,
! [SV86: $i,SV70: $i] :
( ( ( ( v3_struct_0 @ SV70 )
| ~ ( l1_orders_2 @ SV70 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV86 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV70 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(469,plain,
( ( v3_struct_0 @ sK2_SY98 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(470,plain,
( ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
| ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(471,plain,
! [SV34: $i] :
( ( ( m1_subset_1 @ ( sK4_B @ SV34 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV34 ) ) )
= $true )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_struct_0 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(472,plain,
! [SV34: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK4_B @ SV34 ) ) )
= $true )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_struct_0 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(473,plain,
! [SV87: $i,SV71: $i] :
( ( ( m1_subset_1 @ SV71 @ ( k1_zfmisc_1 @ SV87 ) )
= $false )
| ( ( r1_tarski @ SV71 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(474,plain,
! [SV88: $i,SV72: $i] :
( ( ( r1_tarski @ SV72 @ SV88 )
= $false )
| ( ( m1_subset_1 @ SV72 @ ( k1_zfmisc_1 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(475,plain,
! [SV60: $i,SV53: $i,SV89: $i,SV39: $i,SV6: $i,SV73: $i] :
( ( ( ~ ( m1_relset_1 @ SV73 @ SV6 @ SV39 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV89 @ SV53 @ SV60 ) )
= $true )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SV60 @ SV73 @ SV89 ) @ SV6 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(476,plain,
! [SV61: $i,SV57: $i,SV90: $i,SV43: $i,SV17: $i,SV74: $i] :
( ( ( ~ ( m1_relset_1 @ SV74 @ SV17 @ SV43 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV57 @ SV61 ) )
= $true )
| ( ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SV61 @ SV74 @ SV90 )
= ( k5_relat_1 @ SV74 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(477,plain,
! [SV26: $i,SV48: $i,SV59: $i] :
( ( ( v1_xboole_0 @ SV59 )
= $false )
| ( ( m1_subset_1 @ SV48 @ ( k1_zfmisc_1 @ SV59 ) )
= $false )
| ( ( r2_hidden @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(478,plain,
! [SV77: $i,SV30: $i,SV91: $i] :
( ( ( m1_relset_1 @ SV91 @ SV30 @ SV77 )
= $false )
| ( ( m2_relset_1 @ SV91 @ SV30 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(479,plain,
! [SV78: $i,SV30: $i,SV92: $i] :
( ( ( m2_relset_1 @ SV92 @ SV30 @ SV78 )
= $false )
| ( ( m1_relset_1 @ SV92 @ SV30 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(480,plain,
! [SV95: $i,SV51: $i,SV31: $i] :
( ( ( ! [SY202: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SV95 @ SY202 ) )
| ( SV31 = SV95 ) )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(481,plain,
! [SV96: $i,SV51: $i,SV31: $i] :
( ( ( ! [SY203: $i] :
( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SV96 @ SY203 ) )
| ( SV51 = SY203 ) ) )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(482,plain,
! [SV79: $i,SV64: $i] :
( ( ( l1_orders_2 @ SV64 )
= $false )
| ( ( ~ ( l1_orders_2 @ SV79 ) )
= $true )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV64 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(483,plain,
! [SV80: $i,SV65: $i] :
( ( ( l1_orders_2 @ SV65 )
= $false )
| ( ( ~ ( l1_orders_2 @ SV80 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV65 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(484,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
| ~ ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(485,plain,
! [SV82: $i,SV32: $i,SV94: $i] :
( ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY199: $i] :
( ~ ( r2_hidden @ SY199 @ SV94 )
| ( r2_hidden @ SY199 @ SV32 )
| ( r2_hidden @ SY199 @ SV82 ) )
| ~ ~ ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) )
| ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(486,plain,
! [SV83: $i,SV66: $i] :
( ( ( ~ ( l1_orders_2 @ SV66 ) )
= $true )
| ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV83 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SV83 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(487,plain,
! [SV84: $i,SV67: $i] :
( ( ( ~ ( l1_orders_2 @ SV67 ) )
= $true )
| ( ( v3_struct_0 @ SV84 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV84 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV67 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(488,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ! [SY183: $i] :
( ~ ( l1_orders_2 @ SY183 )
| ~ ( v1_orders_2 @ SY183 )
| ( ( u1_struct_0 @ SY183 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SY183 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SY183
= ( k1_latsum_1 @ SV33 @ SV68 ) ) ) )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(489,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) ) )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(490,plain,
! [SV85: $i,SV69: $i] :
( ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV69 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV85 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(491,plain,
! [SV86: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV70 ) )
= $true )
| ( ( ~ ( l1_orders_2 @ SV86 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV70 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(492,plain,
( ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(493,plain,
( ( ~ ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(494,plain,
! [SV34: $i] :
( ( ( v1_xboole_0 @ ( sK4_B @ SV34 ) )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( l1_struct_0 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(495,plain,
! [SV60: $i,SV53: $i,SV89: $i,SV39: $i,SV6: $i,SV73: $i] :
( ( ( m1_relset_1 @ SV73 @ SV6 @ SV39 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV89 @ SV53 @ SV60 ) )
= $true )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SV60 @ SV73 @ SV89 ) @ SV6 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(496,plain,
! [SV61: $i,SV57: $i,SV90: $i,SV43: $i,SV17: $i,SV74: $i] :
( ( ( m1_relset_1 @ SV74 @ SV17 @ SV43 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV90 @ SV57 @ SV61 ) )
= $true )
| ( ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SV61 @ SV74 @ SV90 )
= ( k5_relat_1 @ SV74 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(497,plain,
! [SV95: $i,SV51: $i,SV31: $i] :
( ( ( ! [SY202: $i] :
( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SV95 @ SY202 ) ) )
= $true )
| ( ( SV31 = SV95 )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(498,plain,
! [SV97: $i,SV96: $i,SV51: $i,SV31: $i] :
( ( ( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SV96 @ SV97 ) )
| ( SV51 = SV97 ) )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(499,plain,
! [SV64: $i,SV79: $i] :
( ( ( l1_orders_2 @ SV79 )
= $false )
| ( ( l1_orders_2 @ SV64 )
= $false )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV64 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(500,plain,
! [SV65: $i,SV80: $i] :
( ( ( l1_orders_2 @ SV80 )
= $false )
| ( ( l1_orders_2 @ SV65 )
= $false )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV65 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(501,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) ) )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(502,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(503,plain,
! [SV82: $i,SV32: $i,SV94: $i] :
( ( ( ~ ! [SY199: $i] :
( ~ ( r2_hidden @ SY199 @ SV94 )
| ( r2_hidden @ SY199 @ SV32 )
| ( r2_hidden @ SY199 @ SV82 ) )
| ~ ~ ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) )
| ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) ) )
= $false )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(504,plain,
! [SV83: $i,SV66: $i] :
( ( ( l1_orders_2 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV83 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SV83 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(505,plain,
! [SV84: $i,SV67: $i] :
( ( ( l1_orders_2 @ SV67 )
= $false )
| ( ( v3_struct_0 @ SV84 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV84 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV67 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(506,plain,
! [SV68: $i,SV33: $i] :
( ( ( ! [SY183: $i] :
( ~ ( l1_orders_2 @ SY183 )
| ~ ( v1_orders_2 @ SY183 )
| ( ( u1_struct_0 @ SY183 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SY183 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SY183
= ( k1_latsum_1 @ SV33 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(507,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(508,plain,
! [SV85: $i,SV69: $i] :
( ( ( l1_orders_2 @ SV69 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV85 ) )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(509,plain,
! [SV86: $i,SV70: $i] :
( ( ( l1_orders_2 @ SV70 )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( ~ ( l1_orders_2 @ SV86 ) )
= $true )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV70 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(510,plain,
( ( ~ ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(511,plain,
( ( ~ ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(512,plain,
! [SV39: $i,SV6: $i,SV73: $i,SV60: $i,SV53: $i,SV89: $i] :
( ( ( m1_relset_1 @ SV89 @ SV53 @ SV60 )
= $false )
| ( ( m1_relset_1 @ SV73 @ SV6 @ SV39 )
= $false )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV6 @ SV39 @ SV53 @ SV60 @ SV73 @ SV89 ) @ SV6 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(513,plain,
! [SV43: $i,SV17: $i,SV74: $i,SV61: $i,SV57: $i,SV90: $i] :
( ( ( m1_relset_1 @ SV90 @ SV57 @ SV61 )
= $false )
| ( ( m1_relset_1 @ SV74 @ SV17 @ SV43 )
= $false )
| ( ( ( k7_relset_1 @ SV17 @ SV43 @ SV57 @ SV61 @ SV74 @ SV90 )
= ( k5_relat_1 @ SV74 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(514,plain,
! [SV98: $i,SV95: $i,SV51: $i,SV31: $i] :
( ( ( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SV95 @ SV98 ) ) )
= $true )
| ( ( SV31 = SV95 )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(515,plain,
! [SV97: $i,SV96: $i,SV51: $i,SV31: $i] :
( ( ( ( ( g1_orders_2 @ SV31 @ SV51 )
!= ( g1_orders_2 @ SV96 @ SV97 ) ) )
= $true )
| ( ( SV51 = SV97 )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(516,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(517,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(518,plain,
! [SV82: $i,SV32: $i,SV94: $i] :
( ( ( ~ ! [SY199: $i] :
( ~ ( r2_hidden @ SY199 @ SV94 )
| ( r2_hidden @ SY199 @ SV32 )
| ( r2_hidden @ SY199 @ SV82 ) ) )
= $false )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(519,plain,
! [SV82: $i,SV94: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) )
| ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) ) )
= $false )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(520,plain,
! [SV66: $i,SV83: $i] :
( ( ( l1_orders_2 @ SV83 )
= $false )
| ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( l1_orders_2 @ SV66 )
= $false )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SV83 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(521,plain,
! [SV67: $i,SV84: $i] :
( ( ( l1_orders_2 @ SV84 )
= $false )
| ( ( v3_struct_0 @ SV84 )
= $true )
| ( ( l1_orders_2 @ SV67 )
= $false )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV67 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(522,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( ~ ( l1_orders_2 @ SV99 )
| ~ ( v1_orders_2 @ SV99 )
| ( ( u1_struct_0 @ SV99 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(523,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
| ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(524,plain,
! [SV69: $i,SV85: $i] :
( ( ( l1_orders_2 @ SV85 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( l1_orders_2 @ SV69 )
= $false )
| ( ( ~ ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(525,plain,
! [SV70: $i,SV86: $i] :
( ( ( l1_orders_2 @ SV86 )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_orders_2 @ SV70 )
= $false )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV70 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(526,plain,
( ( r2_hidden @ sK3_SY100 @ ( u1_struct_0 @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(527,plain,
( ( r2_hidden @ sK3_SY100 @ ( k4_xboole_0 @ ( u1_struct_0 @ sK2_SY98 ) @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(528,plain,
! [SV98: $i,SV95: $i,SV51: $i,SV31: $i] :
( ( ( ( g1_orders_2 @ SV31 @ SV51 )
= ( g1_orders_2 @ SV95 @ SV98 ) )
= $false )
| ( ( SV31 = SV95 )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(529,plain,
! [SV97: $i,SV96: $i,SV51: $i,SV31: $i] :
( ( ( ( g1_orders_2 @ SV31 @ SV51 )
= ( g1_orders_2 @ SV96 @ SV97 ) )
= $false )
| ( ( SV51 = SV97 )
= $true )
| ( ( m1_relset_1 @ SV51 @ SV31 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(530,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
| ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(531,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
= $true )
| ( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
| ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(532,plain,
! [SV82: $i,SV32: $i,SV94: $i] :
( ( ( ! [SY199: $i] :
( ~ ( r2_hidden @ SY199 @ SV94 )
| ( r2_hidden @ SY199 @ SV32 )
| ( r2_hidden @ SY199 @ SV82 ) ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(533,plain,
! [SV82: $i,SV94: $i,SV32: $i] :
( ( ( ~ ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) )
| ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(534,plain,
! [SV83: $i,SV66: $i] :
( ( ( v3_struct_0 @ ( k1_latsum_1 @ SV66 @ SV83 ) )
= $false )
| ( ( l1_orders_2 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( l1_orders_2 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(535,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( ~ ( l1_orders_2 @ SV99 )
| ~ ( v1_orders_2 @ SV99 ) )
= $true )
| ( ( ( ( u1_struct_0 @ SV99 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(536,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) ) )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(537,plain,
! [SV68: $i,SV33: $i] :
( ( ( ~ ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(538,plain,
! [SV85: $i,SV69: $i] :
( ( ( v3_struct_0 @ ( k1_latsum_1 @ SV69 @ SV85 ) )
= $false )
| ( ( l1_orders_2 @ SV69 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( l1_orders_2 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(539,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) ) )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(540,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) ) )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(541,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
= $true )
| ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 )
= $true )
| ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(542,plain,
! [SV82: $i,SV32: $i,SV94: $i,SV100: $i] :
( ( ( ~ ( r2_hidden @ SV100 @ SV94 )
| ( r2_hidden @ SV100 @ SV32 )
| ( r2_hidden @ SV100 @ SV82 ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(543,plain,
! [SV82: $i,SV94: $i,SV32: $i] :
( ( ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) )
| ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) )
= $false )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(544,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( ~ ( l1_orders_2 @ SV99 ) )
= $true )
| ( ( ~ ( v1_orders_2 @ SV99 ) )
= $true )
| ( ( ( ( u1_struct_0 @ SV99 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(545,plain,
! [SV68: $i,SV33: $i] :
( ( ( ! [SY184: $i] :
( ~ ( l1_orders_2 @ SY184 )
| ~ ( v1_orders_2 @ SY184 )
| ( SY184
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SY184 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(546,plain,
! [SV68: $i,SV33: $i] :
( ( ( ! [SY185: $i] :
( ~ ( l1_orders_2 @ SY185 )
| ~ ( v1_orders_2 @ SY185 )
| ( SY185
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SY185 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(547,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(548,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
| ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(549,plain,
! [SV82: $i,SV32: $i,SV94: $i,SV100: $i] :
( ( ( ~ ( r2_hidden @ SV100 @ SV94 ) )
= $true )
| ( ( ( r2_hidden @ SV100 @ SV32 )
| ( r2_hidden @ SV100 @ SV82 ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(550,plain,
! [SV82: $i,SV94: $i,SV32: $i] :
( ( ( ~ ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) ) )
= $false )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(551,plain,
! [SV32: $i,SV94: $i,SV82: $i] :
( ( ( ~ ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) )
= $false )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(552,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( l1_orders_2 @ SV99 )
= $false )
| ( ( ~ ( v1_orders_2 @ SV99 ) )
= $true )
| ( ( ( ( u1_struct_0 @ SV99 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(553,plain,
! [SV68: $i,SV33: $i,SV101: $i] :
( ( ( ~ ( l1_orders_2 @ SV101 )
| ~ ( v1_orders_2 @ SV101 )
| ( SV101
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SV101 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(554,plain,
! [SV68: $i,SV33: $i,SV102: $i] :
( ( ( ~ ( l1_orders_2 @ SV102 )
| ~ ( v1_orders_2 @ SV102 )
| ( SV102
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SV102 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(555,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(556,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(557,plain,
! [SV82: $i,SV32: $i,SV94: $i,SV100: $i] :
( ( ( r2_hidden @ SV100 @ SV94 )
= $false )
| ( ( ( r2_hidden @ SV100 @ SV32 )
| ( r2_hidden @ SV100 @ SV82 ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(558,plain,
! [SV82: $i,SV94: $i,SV32: $i] :
( ( ( ! [SY200: $i] :
( ~ ( r2_hidden @ SY200 @ SV32 )
| ( r2_hidden @ SY200 @ SV94 ) ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(559,plain,
! [SV32: $i,SV94: $i,SV82: $i] :
( ( ( ! [SY201: $i] :
( ~ ( r2_hidden @ SY201 @ SV82 )
| ( r2_hidden @ SY201 @ SV94 ) ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(560,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( v1_orders_2 @ SV99 )
= $false )
| ( ( l1_orders_2 @ SV99 )
= $false )
| ( ( ( ( u1_struct_0 @ SV99 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
| ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(561,plain,
! [SV68: $i,SV33: $i,SV101: $i] :
( ( ( ~ ( l1_orders_2 @ SV101 )
| ~ ( v1_orders_2 @ SV101 ) )
= $true )
| ( ( ( SV101
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SV101 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(562,plain,
! [SV68: $i,SV33: $i,SV102: $i] :
( ( ( ~ ( l1_orders_2 @ SV102 )
| ~ ( v1_orders_2 @ SV102 ) )
= $true )
| ( ( ( SV102
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SV102 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(563,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
= $false )
| ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(564,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
= $false )
| ( ( ~ ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 ) )
= $true )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(565,plain,
! [SV94: $i,SV82: $i,SV32: $i,SV100: $i] :
( ( ( r2_hidden @ SV100 @ SV32 )
= $true )
| ( ( r2_hidden @ SV100 @ SV82 )
= $true )
| ( ( r2_hidden @ SV100 @ SV94 )
= $false )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(566,plain,
! [SV82: $i,SV94: $i,SV32: $i,SV103: $i] :
( ( ( ~ ( r2_hidden @ SV103 @ SV32 )
| ( r2_hidden @ SV103 @ SV94 ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(567,plain,
! [SV32: $i,SV94: $i,SV82: $i,SV104: $i] :
( ( ( ~ ( r2_hidden @ SV104 @ SV82 )
| ( r2_hidden @ SV104 @ SV94 ) )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(568,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( ( ( u1_struct_0 @ SV99 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
| ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) )
= $true )
| ( ( l1_orders_2 @ SV99 )
= $false )
| ( ( v1_orders_2 @ SV99 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(569,plain,
! [SV68: $i,SV33: $i,SV101: $i] :
( ( ( ~ ( l1_orders_2 @ SV101 ) )
= $true )
| ( ( ~ ( v1_orders_2 @ SV101 ) )
= $true )
| ( ( ( SV101
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SV101 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(570,plain,
! [SV68: $i,SV33: $i,SV102: $i] :
( ( ( ~ ( l1_orders_2 @ SV102 ) )
= $true )
| ( ( ~ ( v1_orders_2 @ SV102 ) )
= $true )
| ( ( ( SV102
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SV102 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(571,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV32 )
= $false )
| ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(572,plain,
! [SV32: $i,SV81: $i,SV93: $i] :
( ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV81 )
= $false )
| ( ( r2_hidden @ ( sK13_D @ SV93 @ SV81 @ SV32 ) @ SV93 )
= $false )
| ( ( SV93
= ( k2_xboole_0 @ SV32 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(573,plain,
! [SV82: $i,SV94: $i,SV32: $i,SV103: $i] :
( ( ( ~ ( r2_hidden @ SV103 @ SV32 ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV94 )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(574,plain,
! [SV32: $i,SV94: $i,SV82: $i,SV104: $i] :
( ( ( ~ ( r2_hidden @ SV104 @ SV82 ) )
= $true )
| ( ( r2_hidden @ SV104 @ SV94 )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(575,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( ( ( u1_struct_0 @ SV99 )
!= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
= $true )
| ( ( ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) )
= $true )
| ( ( l1_orders_2 @ SV99 )
= $false )
| ( ( v1_orders_2 @ SV99 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(576,plain,
! [SV68: $i,SV33: $i,SV101: $i] :
( ( ( l1_orders_2 @ SV101 )
= $false )
| ( ( ~ ( v1_orders_2 @ SV101 ) )
= $true )
| ( ( ( SV101
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SV101 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(577,plain,
! [SV68: $i,SV33: $i,SV102: $i] :
( ( ( l1_orders_2 @ SV102 )
= $false )
| ( ( ~ ( v1_orders_2 @ SV102 ) )
= $true )
| ( ( ( SV102
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SV102 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(578,plain,
! [SV82: $i,SV94: $i,SV32: $i,SV103: $i] :
( ( ( r2_hidden @ SV103 @ SV32 )
= $false )
| ( ( r2_hidden @ SV103 @ SV94 )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(579,plain,
! [SV32: $i,SV94: $i,SV82: $i,SV104: $i] :
( ( ( r2_hidden @ SV104 @ SV82 )
= $false )
| ( ( r2_hidden @ SV104 @ SV94 )
= $true )
| ( ( SV94
= ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(580,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( ( u1_struct_0 @ SV99 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
= $false )
| ( ( ( ( u1_orders_2 @ SV99 )
!= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) )
= $true )
| ( ( l1_orders_2 @ SV99 )
= $false )
| ( ( v1_orders_2 @ SV99 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(581,plain,
! [SV68: $i,SV33: $i,SV101: $i] :
( ( ( v1_orders_2 @ SV101 )
= $false )
| ( ( l1_orders_2 @ SV101 )
= $false )
| ( ( ( SV101
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_struct_0 @ SV101 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(582,plain,
! [SV68: $i,SV33: $i,SV102: $i] :
( ( ( v1_orders_2 @ SV102 )
= $false )
| ( ( l1_orders_2 @ SV102 )
= $false )
| ( ( ( SV102
!= ( k1_latsum_1 @ SV33 @ SV68 ) )
| ( ( u1_orders_2 @ SV102 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(583,plain,
! [SV68: $i,SV33: $i,SV99: $i] :
( ( ( ( u1_orders_2 @ SV99 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
= $false )
| ( ( ( u1_struct_0 @ SV99 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
= $false )
| ( ( SV99
= ( k1_latsum_1 @ SV33 @ SV68 ) )
= $true )
| ( ( l1_orders_2 @ SV99 )
= $false )
| ( ( v1_orders_2 @ SV99 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(584,plain,
! [SV68: $i,SV33: $i,SV101: $i] :
( ( ( ( SV101
!= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
= $true )
| ( ( ( u1_struct_0 @ SV101 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
= $true )
| ( ( l1_orders_2 @ SV101 )
= $false )
| ( ( v1_orders_2 @ SV101 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(585,plain,
! [SV68: $i,SV33: $i,SV102: $i] :
( ( ( ( SV102
!= ( k1_latsum_1 @ SV33 @ SV68 ) ) )
= $true )
| ( ( ( u1_orders_2 @ SV102 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV102 )
= $false )
| ( ( v1_orders_2 @ SV102 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(586,plain,
! [SV68: $i,SV33: $i,SV101: $i] :
( ( ( SV101
= ( k1_latsum_1 @ SV33 @ SV68 ) )
= $false )
| ( ( ( u1_struct_0 @ SV101 )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
= $true )
| ( ( l1_orders_2 @ SV101 )
= $false )
| ( ( v1_orders_2 @ SV101 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(587,plain,
! [SV68: $i,SV33: $i,SV102: $i] :
( ( ( SV102
= ( k1_latsum_1 @ SV33 @ SV68 ) )
= $false )
| ( ( ( u1_orders_2 @ SV102 )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
= $true )
| ( ( l1_orders_2 @ SV102 )
= $false )
| ( ( v1_orders_2 @ SV102 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( l1_orders_2 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(588,plain,
! [SV2: $i,SV35: $i] :
( ( ( r2_hidden @ SV2 @ SV35 )
= $false )
| ( ( ( r2_hidden @ SV35 @ SV2 )
= ( r2_hidden @ SV2 @ SV35 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[388]) ).
thf(589,plain,
! [SV28: $i,SV49: $i] :
( ( ( r2_hidden @ SV28 @ SV49 )
= $false )
| ( ( ( v1_xboole_0 @ SV49 )
= ( r2_hidden @ SV28 @ SV49 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[398]) ).
thf(590,plain,
! [SV2: $i,SV35: $i] :
( ( ( ~ ( ( r2_hidden @ SV35 @ SV2 )
| ( r2_hidden @ SV2 @ SV35 ) )
| ~ ( ~ ( r2_hidden @ SV35 @ SV2 )
| ~ ( r2_hidden @ SV2 @ SV35 ) ) )
= $false )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[588]) ).
thf(591,plain,
! [SV2: $i,SV35: $i] :
( ( ( ( r2_hidden @ SV35 @ SV2 )
= ( r2_hidden @ SV2 @ SV35 ) )
= $false )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[588]) ).
thf(592,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( ( v1_xboole_0 @ SV49 )
| ( r2_hidden @ SV28 @ SV49 ) )
| ~ ( ~ ( v1_xboole_0 @ SV49 )
| ~ ( r2_hidden @ SV28 @ SV49 ) ) )
= $false )
| ( ( r2_hidden @ SV28 @ SV49 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[589]) ).
thf(595,plain,
! [SV2: $i,SV35: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV35 @ SV2 )
| ~ ( r2_hidden @ SV2 @ SV35 ) ) )
= $false )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(597,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV49 )
| ~ ( r2_hidden @ SV28 @ SV49 ) ) )
= $false )
| ( ( r2_hidden @ SV28 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(599,plain,
! [SV2: $i,SV35: $i] :
( ( ( ~ ( r2_hidden @ SV35 @ SV2 )
| ~ ( r2_hidden @ SV2 @ SV35 ) )
= $true )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(601,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( v1_xboole_0 @ SV49 )
| ~ ( r2_hidden @ SV28 @ SV49 ) )
= $true )
| ( ( r2_hidden @ SV28 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(603,plain,
! [SV2: $i,SV35: $i] :
( ( ( ~ ( r2_hidden @ SV35 @ SV2 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV2 @ SV35 ) )
= $true )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(605,plain,
! [SV28: $i,SV49: $i] :
( ( ( ~ ( v1_xboole_0 @ SV49 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV28 @ SV49 ) )
= $true )
| ( ( r2_hidden @ SV28 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(606,plain,
! [SV2: $i,SV35: $i] :
( ( ( r2_hidden @ SV35 @ SV2 )
= $false )
| ( ( ~ ( r2_hidden @ SV2 @ SV35 ) )
= $true )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(607,plain,
! [SV28: $i,SV49: $i] :
( ( ( v1_xboole_0 @ SV49 )
= $false )
| ( ( ~ ( r2_hidden @ SV28 @ SV49 ) )
= $true )
| ( ( r2_hidden @ SV28 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(608,plain,
! [SV35: $i,SV2: $i] :
( ( ( r2_hidden @ SV2 @ SV35 )
= $false )
| ( ( r2_hidden @ SV35 @ SV2 )
= $false )
| ( ( r2_hidden @ SV2 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(609,plain,
! [SV49: $i,SV28: $i] :
( ( ( r2_hidden @ SV28 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $false )
| ( ( r2_hidden @ SV28 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(610,plain,
! [SV2: $i] :
( ( r2_hidden @ SV2 @ SV2 )
= $false ),
inference(extuni,[status(esa)],[591:[bind(SV35,$thf( SV2 ))]]) ).
thf(613,plain,
! [SV82: $i,SV32: $i,SV100: $i] :
( ( ( r2_hidden @ SV100 @ ( k2_xboole_0 @ SV32 @ SV82 ) )
= $false )
| ( ( r2_hidden @ SV100 @ SV82 )
= $true )
| ( ( r2_hidden @ SV100 @ SV32 )
= $true ) ),
inference(extuni,[status(esa)],[565:[bind(SV94,$thf( k2_xboole_0 @ SV32 @ SV82 ))]]) ).
thf(614,plain,
! [SV82: $i,SV32: $i,SV103: $i] :
( ( ( r2_hidden @ SV103 @ ( k2_xboole_0 @ SV32 @ SV82 ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV32 )
= $false ) ),
inference(extuni,[status(esa)],[578:[bind(SV94,$thf( k2_xboole_0 @ SV32 @ SV82 ))]]) ).
thf(615,plain,
! [SV82: $i,SV32: $i,SV104: $i] :
( ( ( r2_hidden @ SV104 @ ( k2_xboole_0 @ SV32 @ SV82 ) )
= $true )
| ( ( r2_hidden @ SV104 @ SV82 )
= $false ) ),
inference(extuni,[status(esa)],[579:[bind(SV94,$thf( k2_xboole_0 @ SV32 @ SV82 ))]]) ).
thf(616,plain,
! [SV68: $i,SV33: $i] :
( ( ( l1_orders_2 @ SV33 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV33 @ SV68 ) )
= $false )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV33 @ SV68 ) )
= $false )
| ( ( ( u1_struct_0 @ ( k1_latsum_1 @ SV33 @ SV68 ) )
= ( k2_xboole_0 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[586:[bind(SV101,$thf( k1_latsum_1 @ SV33 @ SV68 ))]]) ).
thf(617,plain,
! [SV68: $i,SV33: $i] :
( ( ( l1_orders_2 @ SV33 )
= $false )
| ( ( l1_orders_2 @ SV68 )
= $false )
| ( ( v1_orders_2 @ ( k1_latsum_1 @ SV33 @ SV68 ) )
= $false )
| ( ( l1_orders_2 @ ( k1_latsum_1 @ SV33 @ SV68 ) )
= $false )
| ( ( ( u1_orders_2 @ ( k1_latsum_1 @ SV33 @ SV68 ) )
= ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV33 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_struct_0 @ SV68 ) @ ( u1_orders_2 @ SV33 ) @ ( u1_orders_2 @ SV68 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[587:[bind(SV102,$thf( k1_latsum_1 @ SV33 @ SV68 ))]]) ).
thf(618,plain,
! [SV35: $i,SV2: $i] :
( ( ( r2_hidden @ SV2 @ SV35 )
= $false )
| ( ( r2_hidden @ SV35 @ SV2 )
= $false ) ),
inference(sim,[status(thm)],[608]) ).
thf(619,plain,
! [SV49: $i,SV28: $i] :
( ( ( r2_hidden @ SV28 @ SV49 )
= $false )
| ( ( v1_xboole_0 @ SV49 )
= $false ) ),
inference(sim,[status(thm)],[609]) ).
thf(620,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[179,619,618,617,616,615,614,613,610,587,586,583,579,578,572,571,565,541,538,534,529,528,527,526,525,521,513,512,500,499,494,479,478,477,474,473,471,469,455,454,452,444,443,426,421,398,395,393,392,389,388,387,378,361,359,358,341,327,318,316,286,279,278,272,256,250,249,245,244,242,241,236,211,192,186,180]) ).
thf(621,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 08:06:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38 .
% 0.13/0.38
% 0.13/0.38 No.of.Axioms: 54
% 0.13/0.38
% 0.13/0.38 Length.of.Defs: 0
% 0.13/0.38
% 0.13/0.38 Contains.Choice.Funs: false
% 0.20/0.41 .
% 0.20/0.41 (rf:0,axioms:54,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:0,translation:fof_full).................................eprover: CPU time limit exceeded, terminating
% 74.49/74.75 ....
% 91.10/91.41
% 91.10/91.41 ********************************
% 91.10/91.41 * All subproblems solved! *
% 91.10/91.41 ********************************
% 91.10/91.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:56,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:620,loop_count:0,foatp_calls:2,translation:fof_full)
% 91.30/91.57
% 91.30/91.57 %**** Beginning of derivation protocol ****
% 91.30/91.57 % SZS output start CNFRefutation
% See solution above
% 91.30/91.57
% 91.30/91.57 %**** End of derivation protocol ****
% 91.30/91.57 %**** no. of clauses in derivation: 585 ****
% 91.30/91.57 %**** clause counter: 620 ****
% 91.30/91.57
% 91.30/91.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:56,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:620,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------