%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:21:37 AM UTC 2026
% Result : Theorem 16.81s 3.26s
% Output : CNFRefutation 16.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 66
% Syntax : Number of formulae : 1270 ( 466 unt; 0 typ; 0 def)
% Number of atoms : 17808 (4808 equ; 0 cnn)
% Maximal formula atoms : 16 ( 14 avg)
% Number of connectives : 36625 (10696 ~;6638 |; 480 &;18621 @)
% ( 9 <=>; 181 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 69 ( 66 usr; 15 con; 0-3 aty)
% Number of variables : 2859 ( 0 ^;2799 !; 60 ?;2859 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g3_lattices,type,
g3_lattices: $i > $i > $i > $i ).
thf(tp_k11_group_4,type,
k11_group_4: $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k3_latsubgr,type,
k3_latsubgr: $i > $i > $i > $i ).
thf(tp_l1_group_1,type,
l1_group_1: $i > $o ).
thf(tp_l1_lattices,type,
l1_lattices: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_l2_lattices,type,
l2_lattices: $i > $o ).
thf(tp_l3_lattices,type,
l3_lattices: $i > $o ).
thf(tp_m1_lattice4,type,
m1_lattice4: $i > $i > $i > $o ).
thf(tp_m1_relset_1,type,
m1_relset_1: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_m3_vectsp_8,type,
m3_vectsp_8: $i > $i > $i > $o ).
thf(tp_m4_vectsp_8,type,
m4_vectsp_8: $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_SX0,type,
sK10_SX0: $i ).
thf(tp_sK11_SX0,type,
sK11_SX0: $i ).
thf(tp_sK12_SY149,type,
sK12_SY149: $i > $i ).
thf(tp_sK13_SY184,type,
sK13_SY184: $i > $i ).
thf(tp_sK14_SY190,type,
sK14_SY190: $i > $i > $i ).
thf(tp_sK15_SY194,type,
sK15_SY194: $i ).
thf(tp_sK16_SY198,type,
sK16_SY198: $i > $i > $i ).
thf(tp_sK17_SY200,type,
sK17_SY200: $i > $i > $i ).
thf(tp_sK18_SY212,type,
sK18_SY212: $i > $i > $i ).
thf(tp_sK19_SY173,type,
sK19_SY173: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_SY172,type,
sK20_SY172: $i > $i ).
thf(tp_sK21_SY188,type,
sK21_SY188: $i > $i > $i ).
thf(tp_sK22_SY207,type,
sK22_SY207: $i > $i > $i ).
thf(tp_sK23_SY209,type,
sK23_SY209: $i > $i > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: $i ).
thf(tp_sK7_SX0,type,
sK7_SX0: $i ).
thf(tp_sK8_SX0,type,
sK8_SX0: $i ).
thf(tp_sK9_SX0,type,
sK9_SX0: $i ).
thf(tp_u1_lattices,type,
u1_lattices: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_u2_lattices,type,
u2_lattices: $i > $i ).
thf(tp_v10_lattices,type,
v10_lattices: $i > $o ).
thf(tp_v13_lattices,type,
v13_lattices: $i > $o ).
thf(tp_v14_lattices,type,
v14_lattices: $i > $o ).
thf(tp_v15_lattices,type,
v15_lattices: $i > $o ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_funct_2,type,
v1_funct_2: $i > $i > $i > $o ).
thf(tp_v1_group_6,type,
v1_group_6: $i > $i > $i > $o ).
thf(tp_v1_partfun1,type,
v1_partfun1: $i > $i > $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v2_funct_1,type,
v2_funct_1: $i > $o ).
thf(tp_v3_group_1,type,
v3_group_1: $i > $o ).
thf(tp_v3_lattices,type,
v3_lattices: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v4_group_1,type,
v4_group_1: $i > $o ).
thf(tp_v4_lattices,type,
v4_lattices: $i > $o ).
thf(tp_v5_lattices,type,
v5_lattices: $i > $o ).
thf(tp_v6_lattices,type,
v6_lattices: $i > $o ).
thf(tp_v7_lattices,type,
v7_lattices: $i > $o ).
thf(tp_v8_lattices,type,
v8_lattices: $i > $o ).
thf(tp_v9_lattices,type,
v9_lattices: $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,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
thf(7,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( m4_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_latsubgr) ).
thf(8,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v2_funct_1 @ C )
=> ( m3_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_latsubgr) ).
thf(9,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(10,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(11,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( m1_lattice4 @ C @ A @ B )
<=> ( ( m4_vectsp_8 @ C @ A @ B )
& ( m3_vectsp_8 @ C @ A @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_vectsp_8) ).
thf(12,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(13,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(14,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(15,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(16,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(17,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(18,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
thf(19,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(20,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(21,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A )
& ( v1_xboole_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_partfun1) ).
thf(22,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_lattices @ A @ B @ C )
= ( g3_lattices @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_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] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(27,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(28,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_group_4 @ A ) )
& ( v3_lattices @ ( k11_group_4 @ A ) )
& ( v4_lattices @ ( k11_group_4 @ A ) )
& ( v5_lattices @ ( k11_group_4 @ A ) )
& ( v6_lattices @ ( k11_group_4 @ A ) )
& ( v7_lattices @ ( k11_group_4 @ A ) )
& ( v8_lattices @ ( k11_group_4 @ A ) )
& ( v9_lattices @ ( k11_group_4 @ A ) )
& ( v10_lattices @ ( k11_group_4 @ A ) )
& ( v13_lattices @ ( k11_group_4 @ A ) )
& ( v14_lattices @ ( k11_group_4 @ A ) )
& ( v15_lattices @ ( k11_group_4 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_4) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m4_vectsp_8 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m4_vectsp_8) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m3_vectsp_8 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m3_vectsp_8) ).
thf(31,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(32,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(33,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(34,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m1_lattice4 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_lattice4) ).
thf(35,axiom,
? [A: $i] : ( l3_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
thf(36,axiom,
? [A: $i] : ( l2_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
thf(37,axiom,
? [A: $i] : ( l1_struct_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(38,axiom,
? [A: $i] : ( l1_lattices @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
thf(39,axiom,
? [A: $i] : ( l1_group_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
thf(40,axiom,
! [A: $i] :
( ( l2_lattices @ A )
=> ( ( v1_funct_1 @ ( u2_lattices @ A ) )
& ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
thf(41,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(42,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( ( v1_funct_1 @ ( u1_lattices @ A ) )
& ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m4_vectsp_8 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m3_vectsp_8 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m3_vectsp_8) ).
thf(45,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(46,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(47,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m1_lattice4 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_lattice4) ).
thf(49,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
thf(50,axiom,
! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
thf(51,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(52,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
thf(53,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_funct_1 @ ( k3_latsubgr @ A @ B @ C ) )
& ( v1_funct_2 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) )
& ( m2_relset_1 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_latsubgr) ).
thf(55,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(56,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(57,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(58,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_group_4 @ A ) )
& ( v3_lattices @ ( k11_group_4 @ A ) )
& ( v10_lattices @ ( k11_group_4 @ A ) )
& ( l3_lattices @ ( k11_group_4 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_group_4) ).
thf(59,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ( ( v3_lattices @ ( g3_lattices @ A @ B @ C ) )
& ( l3_lattices @ ( g3_lattices @ A @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
thf(61,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_funct_2) ).
thf(62,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(63,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
thf(64,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(65,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ A )
=> ( A
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
thf(66,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v2_funct_1 @ C )
=> ( m1_lattice4 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_latsubgr) ).
thf(67,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v2_funct_1 @ C )
=> ( m1_lattice4 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[66]) ).
thf(68,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v2_funct_1 @ C )
=> ( m1_lattice4 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[67]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(71,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(72,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(73,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(74,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(75,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( m4_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(76,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v2_funct_1 @ C )
=> ( m3_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(79,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( m1_lattice4 @ C @ A @ B )
<=> ( ( m4_vectsp_8 @ C @ A @ B )
& ( m3_vectsp_8 @ C @ A @ B ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(81,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)],[13]) ).
thf(82,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)],[14]) ).
thf(83,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(84,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(85,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(86,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(87,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(88,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(89,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A )
& ( v1_xboole_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(91,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_lattices @ A @ B @ C )
= ( g3_lattices @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(93,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(94,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(95,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(96,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_group_4 @ A ) )
& ( v3_lattices @ ( k11_group_4 @ A ) )
& ( v4_lattices @ ( k11_group_4 @ A ) )
& ( v5_lattices @ ( k11_group_4 @ A ) )
& ( v6_lattices @ ( k11_group_4 @ A ) )
& ( v7_lattices @ ( k11_group_4 @ A ) )
& ( v8_lattices @ ( k11_group_4 @ A ) )
& ( v9_lattices @ ( k11_group_4 @ A ) )
& ( v10_lattices @ ( k11_group_4 @ A ) )
& ( v13_lattices @ ( k11_group_4 @ A ) )
& ( v14_lattices @ ( k11_group_4 @ A ) )
& ( v15_lattices @ ( k11_group_4 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m4_vectsp_8 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(98,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m3_vectsp_8 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(99,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(100,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(101,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(102,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m1_lattice4 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(103,plain,
( ( ? [A: $i] : ( l3_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(104,plain,
( ( ? [A: $i] : ( l2_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(105,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(106,plain,
( ( ? [A: $i] : ( l1_lattices @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(107,plain,
( ( ? [A: $i] : ( l1_group_1 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(108,plain,
( ( ! [A: $i] :
( ( l2_lattices @ A )
=> ( ( v1_funct_1 @ ( u2_lattices @ A ) )
& ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(109,plain,
$true = $true,
inference(unfold_def,[status(thm)],[41]) ).
thf(110,plain,
( ( ! [A: $i] :
( ( l1_lattices @ A )
=> ( ( v1_funct_1 @ ( u1_lattices @ A ) )
& ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m4_vectsp_8 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(112,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m3_vectsp_8 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(113,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)],[45]) ).
thf(114,plain,
$true = $true,
inference(unfold_def,[status(thm)],[46]) ).
thf(115,plain,
$true = $true,
inference(unfold_def,[status(thm)],[47]) ).
thf(116,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m1_lattice4 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(117,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(118,plain,
( ( ! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(119,plain,
$true = $true,
inference(unfold_def,[status(thm)],[51]) ).
thf(120,plain,
( ( ! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(121,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(122,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_funct_1 @ ( k3_latsubgr @ A @ B @ C ) )
& ( v1_funct_2 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) )
& ( m2_relset_1 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(123,plain,
$true = $true,
inference(unfold_def,[status(thm)],[55]) ).
thf(124,plain,
$true = $true,
inference(unfold_def,[status(thm)],[56]) ).
thf(125,plain,
$true = $true,
inference(unfold_def,[status(thm)],[57]) ).
thf(126,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_group_4 @ A ) )
& ( v3_lattices @ ( k11_group_4 @ A ) )
& ( v10_lattices @ ( k11_group_4 @ A ) )
& ( l3_lattices @ ( k11_group_4 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ( ( v3_lattices @ ( g3_lattices @ A @ B @ C ) )
& ( l3_lattices @ ( g3_lattices @ A @ B @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(128,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(129,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(130,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)],[62]) ).
thf(131,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(133,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ A )
=> ( A
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(134,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( v3_group_1 @ sK1_A )
& ( v4_group_1 @ sK1_A )
& ( l1_group_1 @ sK1_A ) )
=> ! [SY123: $i] :
( ( ~ ( v3_struct_0 @ SY123 )
& ( v3_group_1 @ SY123 )
& ( v4_group_1 @ SY123 )
& ( l1_group_1 @ SY123 ) )
=> ! [SY124: $i] :
( ( ( v1_funct_1 @ SY124 )
& ( v1_funct_2 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) )
& ( v1_group_6 @ SY124 @ sK1_A @ SY123 )
& ( m2_relset_1 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) ) )
=> ( ( v2_funct_1 @ SY124 )
=> ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ SY123 @ SY124 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ SY123 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(135,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[134]) ).
thf(136,plain,
( ( v3_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[134]) ).
thf(137,plain,
( ( v4_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[134]) ).
thf(138,plain,
( ( l1_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[134]) ).
thf(139,plain,
( ( ! [SY123: $i] :
( ( ~ ( v3_struct_0 @ SY123 )
& ( v3_group_1 @ SY123 )
& ( v4_group_1 @ SY123 )
& ( l1_group_1 @ SY123 ) )
=> ! [SY124: $i] :
( ( ( v1_funct_1 @ SY124 )
& ( v1_funct_2 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) )
& ( v1_group_6 @ SY124 @ sK1_A @ SY123 )
& ( m2_relset_1 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) ) )
=> ( ( v2_funct_1 @ SY124 )
=> ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ SY123 @ SY124 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ SY123 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[134]) ).
thf(140,plain,
( ( ~ ! [SY123: $i] :
( ( ~ ( v3_struct_0 @ SY123 )
& ( v3_group_1 @ SY123 )
& ( v4_group_1 @ SY123 )
& ( l1_group_1 @ SY123 ) )
=> ! [SY124: $i] :
( ( ( v1_funct_1 @ SY124 )
& ( v1_funct_2 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) )
& ( v1_group_6 @ SY124 @ sK1_A @ SY123 )
& ( m2_relset_1 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) ) )
=> ( ( v2_funct_1 @ SY124 )
=> ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ SY123 @ SY124 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ SY123 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[139]) ).
thf(141,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ A )
=> ( A
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(142,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(144,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)],[130]) ).
thf(145,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(146,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ! [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
=> ( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) )
=> ( ( v1_funct_1 @ C )
& ~ ( v1_xboole_0 @ C )
& ( v1_partfun1 @ C @ A @ B )
& ( v1_funct_2 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(147,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ( ( v3_lattices @ ( g3_lattices @ A @ B @ C ) )
& ( l3_lattices @ ( g3_lattices @ A @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(148,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_group_4 @ A ) )
& ( v3_lattices @ ( k11_group_4 @ A ) )
& ( v10_lattices @ ( k11_group_4 @ A ) )
& ( l3_lattices @ ( k11_group_4 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(149,plain,
$true = $true,
inference(copy,[status(thm)],[125]) ).
thf(150,plain,
$true = $true,
inference(copy,[status(thm)],[124]) ).
thf(151,plain,
$true = $true,
inference(copy,[status(thm)],[123]) ).
thf(152,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_funct_1 @ ( k3_latsubgr @ A @ B @ C ) )
& ( v1_funct_2 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) )
& ( m2_relset_1 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(153,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(154,plain,
( ( ! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(155,plain,
$true = $true,
inference(copy,[status(thm)],[119]) ).
thf(156,plain,
( ( ! [A: $i] :
( ( l2_lattices @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(157,plain,
( ( ! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(158,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m1_lattice4 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(159,plain,
$true = $true,
inference(copy,[status(thm)],[115]) ).
thf(160,plain,
$true = $true,
inference(copy,[status(thm)],[114]) ).
thf(161,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)],[113]) ).
thf(162,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m3_vectsp_8 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(163,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m4_vectsp_8 @ C @ A @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(164,plain,
( ( ! [A: $i] :
( ( l1_lattices @ A )
=> ( ( v1_funct_1 @ ( u1_lattices @ A ) )
& ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(165,plain,
$true = $true,
inference(copy,[status(thm)],[109]) ).
thf(166,plain,
( ( ! [A: $i] :
( ( l2_lattices @ A )
=> ( ( v1_funct_1 @ ( u2_lattices @ A ) )
& ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(167,plain,
( ( ? [A: $i] : ( l1_group_1 @ A ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(168,plain,
( ( ? [A: $i] : ( l1_lattices @ A ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(169,plain,
( ( ? [A: $i] : ( l1_struct_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(170,plain,
( ( ? [A: $i] : ( l2_lattices @ A ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(171,plain,
( ( ? [A: $i] : ( l3_lattices @ A ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(172,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m1_lattice4 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(173,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(174,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(175,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(176,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m3_vectsp_8 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(177,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ? [C: $i] : ( m4_vectsp_8 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(178,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k11_group_4 @ A ) )
& ( v3_lattices @ ( k11_group_4 @ A ) )
& ( v4_lattices @ ( k11_group_4 @ A ) )
& ( v5_lattices @ ( k11_group_4 @ A ) )
& ( v6_lattices @ ( k11_group_4 @ A ) )
& ( v7_lattices @ ( k11_group_4 @ A ) )
& ( v8_lattices @ ( k11_group_4 @ A ) )
& ( v9_lattices @ ( k11_group_4 @ A ) )
& ( v10_lattices @ ( k11_group_4 @ A ) )
& ( v13_lattices @ ( k11_group_4 @ A ) )
& ( v14_lattices @ ( k11_group_4 @ A ) )
& ( v15_lattices @ ( k11_group_4 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(179,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(180,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(181,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(182,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(183,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_lattices @ A @ B @ C )
= ( g3_lattices @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(184,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(185,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A )
& ( v2_funct_1 @ A )
& ( v1_xboole_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(186,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(187,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(188,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(189,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(190,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(191,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(192,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(copy,[status(thm)],[82]) ).
thf(193,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(194,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(195,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( m1_lattice4 @ C @ A @ B )
<=> ( ( m4_vectsp_8 @ C @ A @ B )
& ( m3_vectsp_8 @ C @ A @ B ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(196,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(197,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(198,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v2_funct_1 @ C )
=> ( m3_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(199,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( m4_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(200,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(201,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(202,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(203,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(204,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(205,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(206,plain,
( ( l1_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(207,plain,
( ( v4_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(208,plain,
( ( v3_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(209,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(210,plain,
( ( ~ ! [SY123: $i] :
( ( ~ ( v3_struct_0 @ SY123 )
& ( v3_group_1 @ SY123 )
& ( v4_group_1 @ SY123 )
& ( l1_group_1 @ SY123 ) )
=> ! [SY124: $i] :
( ( ( v1_funct_1 @ SY124 )
& ( v1_funct_2 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) )
& ( v1_group_6 @ SY124 @ sK1_A @ SY123 )
& ( m2_relset_1 @ SY124 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SY123 ) ) )
=> ( ( v2_funct_1 @ SY124 )
=> ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ SY123 @ SY124 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ SY123 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(211,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 ) )
| ~ ( l3_lattices @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v10_lattices @ SX1 ) )
| ~ ( l3_lattices @ SX1 ) )
| ~ ! [SX2: $i] :
~ ( m4_vectsp_8 @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(212,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX1 )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ! [SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( v1_group_6 @ SX2 @ SX0 @ SX1 ) )
| ~ ( m2_relset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( v2_funct_1 @ SX2 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SX0 @ SX1 @ SX2 ) @ ( k11_group_4 @ SX0 ) @ ( k11_group_4 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(213,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 ) )
| ~ ( l3_lattices @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v10_lattices @ SX1 ) )
| ~ ( l3_lattices @ SX1 ) )
| ! [SX2: $i] :
( ~ ( m4_vectsp_8 @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( m2_relset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(214,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( l1_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(215,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(216,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ~ ( v1_funct_1 @ SX2 ) )
| ~ ( v1_funct_2 @ SX2 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ~ ( m1_relset_1 @ SX2 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ~ ( ~ ( v3_lattices @ ( g3_lattices @ SX0 @ SX1 @ SX2 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(217,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SX0 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(218,plain,
( ( ~ ! [SX0: $i] :
~ ( l2_lattices @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(219,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 ) )
| ~ ( l3_lattices @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v10_lattices @ SX1 ) )
| ~ ( l3_lattices @ SX1 ) )
| ! [SX2: $i] :
( ~ ( m1_lattice4 @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( m2_relset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(220,plain,
( ( ! [SX0: $i] :
( ~ ( l1_lattices @ SX0 )
| ( l1_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(221,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(222,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_relset_1 @ SX2 @ SX0 @ SX1 ) )
| ~ ( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(223,plain,
( ( ~ ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v1_group_6 @ SX1 @ sK1_A @ SX0 ) )
| ~ ( m2_relset_1 @ SX1 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v2_funct_1 @ SX1 )
| ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ SX0 @ SX1 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ~ ( v1_xboole_0 @ SX2 ) )
| ~ ( v1_partfun1 @ SX2 @ SX0 @ SX1 ) )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(225,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ~ ( v1_xboole_0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(226,plain,
( ( ! [SX0: $i] :
( ~ ( l2_lattices @ SX0 )
| ( l1_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(227,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ SX1 )
| ( v1_xboole_0 @ SX1 )
| ( r2_hidden @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(228,plain,
( ( ~ ! [SX0: $i] :
~ ( l1_group_1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(229,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( v1_xboole_0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(230,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(231,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ( m1_subset_1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(232,plain,
( ( ! [SX0: $i] :
( ~ ( l1_lattices @ SX0 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u1_lattices @ SX0 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(233,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_funct_1 @ SX0 ) )
| ~ ( v2_funct_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(234,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(235,plain,
( ( ! [SX0: $i] :
( ~ ( l2_lattices @ SX0 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u2_lattices @ SX0 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ SX0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(236,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_struct_0 @ SX0 ) )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(237,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( m1_subset_1 @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(238,plain,
( ( ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( l1_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(239,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(240,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 ) )
| ~ ( l3_lattices @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v10_lattices @ SX1 ) )
| ~ ( l3_lattices @ SX1 ) )
| ! [SX2: $i] :
( ~ ( m3_vectsp_8 @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( m2_relset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(241,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_relat_1 @ SX2 ) )
| ~ ( v1_funct_1 @ SX2 ) )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(242,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SX0 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SX0 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(243,plain,
( ( ~ ! [SX0: $i] :
~ ( l1_struct_0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(244,plain,
( ( ~ ! [SX0: $i] :
~ ( l3_lattices @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(245,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ~ ( m1_relset_1 @ SX1 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ~ ( v1_funct_1 @ SX2 ) )
| ~ ( v1_funct_2 @ SX2 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ~ ( m1_relset_1 @ SX2 @ ( k2_zfmisc_1 @ SX0 @ SX0 ) @ SX0 ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ( ( g3_lattices @ SX0 @ SX1 @ SX2 )
!= ( g3_lattices @ SX3 @ SX4 @ SX5 ) )
| ~ ( ~ ~ ( ( SX0 != SX3 )
| ( SX1 != SX4 ) )
| ( SX2 != SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(246,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ~ ( ~ ( l1_lattices @ SX0 )
| ~ ( l2_lattices @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(247,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) )
| ( v1_relat_1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(248,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(249,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(250,plain,
( ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(251,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX1 )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ! [SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( v1_group_6 @ SX2 @ SX0 @ SX1 ) )
| ~ ( m2_relset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SX0 @ SX1 @ SX2 ) @ ( k11_group_4 @ SX0 ) @ ( k11_group_4 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(252,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 ) )
| ~ ( l3_lattices @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v10_lattices @ SX1 ) )
| ~ ( l3_lattices @ SX1 ) )
| ~ ! [SX2: $i] :
~ ( m1_lattice4 @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(253,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_partfun1 @ SX2 @ SX0 @ SX1 ) )
| ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(254,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_struct_0 @ SX0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(255,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(256,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 ) )
| ~ ( l3_lattices @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v10_lattices @ SX1 ) )
| ~ ( l3_lattices @ SX1 ) )
| ~ ! [SX2: $i] :
~ ( m3_vectsp_8 @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(257,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v10_lattices @ SX0 ) )
| ~ ( l3_lattices @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX1 )
| ~ ( v10_lattices @ SX1 ) )
| ~ ( l3_lattices @ SX1 ) )
| ! [SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( m2_relset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ( m4_vectsp_8 @ SX2 @ SX0 @ SX1 )
| ~ ( m3_vectsp_8 @ SX2 @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SX2 @ SX0 @ SX1 )
| ~ ( m3_vectsp_8 @ SX2 @ SX0 @ SX1 ) )
| ( m1_lattice4 @ SX2 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(258,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(259,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(260,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ~ ( v1_funct_1 @ SX2 ) )
| ~ ( v1_funct_2 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( m1_relset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SX0 @ SX1 @ SX2 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SX0 @ SX1 @ SX2 ) @ ( u1_struct_0 @ ( k11_group_4 @ SX0 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SX1 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SX0 @ SX1 @ SX2 ) @ ( u1_struct_0 @ ( k11_group_4 @ SX0 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(261,plain,
( ( ~ ! [SX0: $i] :
~ ( l1_lattices @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(262,plain,
( ( ! [SX0: $i] :
( ~ ( l3_lattices @ SX0 )
| ~ ( v3_lattices @ SX0 )
| ( SX0
= ( g3_lattices @ ( u1_struct_0 @ SX0 ) @ ( u2_lattices @ SX0 ) @ ( u1_lattices @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(263,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( v1_xboole_0 @ SX1 )
| ! [SX2: $i] :
( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX2 )
| ~ ( v1_partfun1 @ SX2 @ SX0 @ SX1 ) )
| ~ ( v1_funct_2 @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(264,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(265,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_relat_1 @ SX2 ) )
| ~ ( v1_funct_1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(266,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(267,plain,
! [SV1: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(268,plain,
! [SV2: $i] :
( ( ! [SY125: $i] : ( r1_tarski @ SV2 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(269,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(270,plain,
! [SV3: $i] :
( ( ! [SY126: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SY126 ) )
| ~ ( v10_lattices @ SY126 ) )
| ~ ( l3_lattices @ SY126 ) )
| ~ ! [SY127: $i] :
~ ( m4_vectsp_8 @ SY127 @ SV3 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(271,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) )
| ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(272,plain,
! [SV5: $i] :
( ( ! [SY130: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SY130 ) )
| ~ ( v10_lattices @ SY130 ) )
| ~ ( l3_lattices @ SY130 ) )
| ! [SY131: $i] :
( ~ ( m4_vectsp_8 @ SY131 @ SV5 @ SY130 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY131 )
| ~ ( v1_funct_2 @ SY131 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SY130 ) ) )
| ~ ( m2_relset_1 @ SY131 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SY130 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(273,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( l1_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(274,plain,
! [SV6: $i] :
( ( ! [SY132: $i] :
~ ! [SY133: $i] :
~ ( m1_relset_1 @ SY133 @ SV6 @ SY132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(275,plain,
! [SV7: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY134 )
| ~ ( v1_funct_2 @ SY134 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SY134 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SY135 ) )
| ~ ( v1_funct_2 @ SY135 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SY135 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SY134 @ SY135 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SY134 @ SY135 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(276,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(277,plain,
( ( ! [SX0: $i] :
~ ( l2_lattices @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(278,plain,
! [SV9: $i] :
( ( ! [SY136: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SY136 ) )
| ~ ( v10_lattices @ SY136 ) )
| ~ ( l3_lattices @ SY136 ) )
| ! [SY137: $i] :
( ~ ( m1_lattice4 @ SY137 @ SV9 @ SY136 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY137 )
| ~ ( v1_funct_2 @ SY137 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SY136 ) ) )
| ~ ( m2_relset_1 @ SY137 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SY136 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(279,plain,
! [SV10: $i] :
( ( ~ ( l1_lattices @ SV10 )
| ( l1_struct_0 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(280,plain,
! [SV11: $i] :
( ( ! [SY138: $i] :
( ~ ( r2_hidden @ SV11 @ SY138 )
| ( m1_subset_1 @ SV11 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(281,plain,
! [SV12: $i] :
( ( ! [SY139: $i,SY140: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SY140 @ SV12 @ SY139 )
| ( m1_relset_1 @ SY140 @ SV12 @ SY139 ) )
| ~ ( ~ ( m1_relset_1 @ SY140 @ SV12 @ SY139 )
| ( m2_relset_1 @ SY140 @ SV12 @ SY139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(282,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SX1 )
| ~ ( v1_funct_2 @ SX1 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v1_group_6 @ SX1 @ sK1_A @ SX0 ) )
| ~ ( m2_relset_1 @ SX1 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( v2_funct_1 @ SX1 )
| ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ SX0 @ SX1 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(283,plain,
! [SV13: $i] :
( ( ! [SY141: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV13 )
| ~ ~ ( v1_xboole_0 @ SY141 ) )
| ! [SY142: $i] :
( ~ ( m1_relset_1 @ SY142 @ SV13 @ SY141 )
| ~ ~ ( ~ ( v1_funct_1 @ SY142 )
| ~ ( v1_funct_2 @ SY142 @ SV13 @ SY141 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY142 )
| ~ ~ ( v1_xboole_0 @ SY142 ) )
| ~ ( v1_partfun1 @ SY142 @ SV13 @ SY141 ) )
| ~ ( v1_funct_2 @ SY142 @ SV13 @ SY141 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(284,plain,
! [SV14: $i] :
( ( ! [SY143: $i,SY144: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SY143 )
| ~ ( m1_subset_1 @ SY143 @ ( k1_zfmisc_1 @ SY144 ) ) )
| ~ ( v1_xboole_0 @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(285,plain,
! [SV15: $i] :
( ( ~ ( l2_lattices @ SV15 )
| ( l1_struct_0 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(286,plain,
! [SV16: $i] :
( ( ! [SY145: $i] :
( ~ ( m1_subset_1 @ SV16 @ SY145 )
| ( v1_xboole_0 @ SY145 )
| ( r2_hidden @ SV16 @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(287,plain,
( ( ! [SX0: $i] :
~ ( l1_group_1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(288,plain,
( ( ! [SX0: $i] :
~ ~ ( v1_xboole_0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(289,plain,
! [SV17: $i] :
( ( ~ ( v1_xboole_0 @ SV17 )
| ( SV17 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(290,plain,
! [SV18: $i] :
( ( ! [SY146: $i,SY147: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV18 @ SY146 )
| ~ ( m1_subset_1 @ SY146 @ ( k1_zfmisc_1 @ SY147 ) ) )
| ( m1_subset_1 @ SV18 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(291,plain,
! [SV19: $i] :
( ( ~ ( l1_lattices @ SV19 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(292,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_funct_1 @ SX0 ) )
| ~ ( v2_funct_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(293,plain,
! [SV20: $i] :
( ( ! [SY148: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SY148 ) )
| ( r1_tarski @ SV20 @ SY148 ) )
| ~ ( ~ ( r1_tarski @ SV20 @ SY148 )
| ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SY148 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(294,plain,
! [SV21: $i] :
( ( ~ ( l2_lattices @ SV21 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(295,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( l1_struct_0 @ SV22 ) )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(296,plain,
! [SV23: $i] :
( ( ~ ! [SY149: $i] :
~ ( m1_subset_1 @ SY149 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(297,plain,
! [SV24: $i] :
( ( ~ ( l1_group_1 @ SV24 )
| ( l1_struct_0 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(298,plain,
! [SV25: $i] :
( ( ! [SY150: $i] :
~ ! [SY151: $i] :
~ ( m2_relset_1 @ SY151 @ SV25 @ SY150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(299,plain,
! [SV26: $i] :
( ( ! [SY152: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SY152 ) )
| ~ ( v10_lattices @ SY152 ) )
| ~ ( l3_lattices @ SY152 ) )
| ! [SY153: $i] :
( ~ ( m3_vectsp_8 @ SY153 @ SV26 @ SY152 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY153 )
| ~ ( v1_funct_2 @ SY153 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SY152 ) ) )
| ~ ( m2_relset_1 @ SY153 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SY152 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(300,plain,
! [SV27: $i] :
( ( ! [SY154: $i] :
~ ! [SY155: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY155 @ SV27 @ SY154 )
| ~ ( v1_relat_1 @ SY155 ) )
| ~ ( v1_funct_1 @ SY155 ) )
| ~ ( v1_funct_2 @ SY155 @ SV27 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(301,plain,
! [SV28: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
| ~ ( v4_group_1 @ SV28 ) )
| ~ ( l1_group_1 @ SV28 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(302,plain,
( ( ! [SX0: $i] :
~ ( l1_struct_0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(303,plain,
( ( ! [SX0: $i] :
~ ( l3_lattices @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(304,plain,
! [SV29: $i] :
( ( ! [SY156: $i,SY157: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY156 )
| ~ ( v1_funct_2 @ SY156 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SY156 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SY157 ) )
| ~ ( v1_funct_2 @ SY157 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SY157 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ! [SY158: $i,SY159: $i,SY160: $i] :
( ( ( g3_lattices @ SV29 @ SY156 @ SY157 )
!= ( g3_lattices @ SY158 @ SY159 @ SY160 ) )
| ~ ( ~ ~ ( ( SV29 != SY158 )
| ( SY156 != SY159 ) )
| ( SY157 != SY160 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(305,plain,
! [SV30: $i] :
( ( ~ ( l3_lattices @ SV30 )
| ~ ( ~ ( l1_lattices @ SV30 )
| ~ ( l2_lattices @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(306,plain,
! [SV31: $i] :
( ( ! [SY161: $i,SY162: $i] :
( ~ ( m1_subset_1 @ SY162 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV31 @ SY161 ) ) )
| ( v1_relat_1 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(307,plain,
! [SV32: $i] :
( ( ! [SY163: $i] :
( ~ ( r2_hidden @ SV32 @ SY163 )
| ~ ( r2_hidden @ SY163 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(308,plain,
! [SV33: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ~ ( m2_relset_1 @ SY165 @ SV33 @ SY164 )
| ( m1_subset_1 @ SY165 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV33 @ SY164 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(309,plain,
( ( ! [SX0: $i] :
~ ( v1_xboole_0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(310,plain,
! [SV34: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) )
| ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(311,plain,
! [SV35: $i] :
( ( ! [SY168: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SY168 ) )
| ~ ( v10_lattices @ SY168 ) )
| ~ ( l3_lattices @ SY168 ) )
| ~ ! [SY169: $i] :
~ ( m1_lattice4 @ SY169 @ SV35 @ SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(312,plain,
! [SV36: $i] :
( ( ! [SY170: $i,SY171: $i] :
( ~ ( m1_relset_1 @ SY171 @ SV36 @ SY170 )
| ~ ~ ( ~ ( v1_funct_1 @ SY171 )
| ~ ( v1_partfun1 @ SY171 @ SV36 @ SY170 ) )
| ~ ( ~ ( v1_funct_1 @ SY171 )
| ~ ( v1_funct_2 @ SY171 @ SV36 @ SY170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(313,plain,
! [SV37: $i] :
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( l1_struct_0 @ SV37 ) )
| ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(314,plain,
! [SV38: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV38 )
| ~ ! [SY173: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY173 @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ SY173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(315,plain,
! [SV39: $i] :
( ( ! [SY174: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SY174 ) )
| ~ ( v10_lattices @ SY174 ) )
| ~ ( l3_lattices @ SY174 ) )
| ~ ! [SY175: $i] :
~ ( m3_vectsp_8 @ SY175 @ SV39 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(316,plain,
! [SV40: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) )
| ~ ( l3_lattices @ SV40 ) )
| ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(317,plain,
! [SV41: $i] :
( ( ! [SY178: $i] :
~ ~ ( ~ ( r2_hidden @ SV41 @ SY178 )
| ~ ( v1_xboole_0 @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(318,plain,
! [SV42: $i] :
( ( ! [SY179: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV42 )
| ~ ( ( SV42 != SY179 ) ) )
| ~ ( v1_xboole_0 @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(319,plain,
! [SV43: $i] :
( ( ! [SY180: $i,SY181: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SY180 ) )
| ~ ( v3_group_1 @ SY180 ) )
| ~ ( v4_group_1 @ SY180 ) )
| ~ ( l1_group_1 @ SY180 ) )
| ~ ( v1_funct_1 @ SY181 ) )
| ~ ( v1_funct_2 @ SY181 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SY180 ) ) )
| ~ ( m1_relset_1 @ SY181 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SY180 ) ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SY180 @ SY181 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SY180 @ SY181 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SY180 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SY180 @ SY181 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SY180 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(320,plain,
( ( ! [SX0: $i] :
~ ( l1_lattices @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(321,plain,
! [SV44: $i] :
( ( ~ ( l3_lattices @ SV44 )
| ~ ( v3_lattices @ SV44 )
| ( SV44
= ( g3_lattices @ ( u1_struct_0 @ SV44 ) @ ( u2_lattices @ SV44 ) @ ( u1_lattices @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(322,plain,
! [SV45: $i] :
( ( ! [SY182: $i] :
( ~ ~ ( v1_xboole_0 @ SY182 )
| ! [SY183: $i] :
( ~ ( m1_relset_1 @ SY183 @ SV45 @ SY182 )
| ~ ~ ( ~ ( v1_funct_1 @ SY183 )
| ~ ( v1_funct_2 @ SY183 @ SV45 @ SY182 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY183 )
| ~ ( v1_partfun1 @ SY183 @ SV45 @ SY182 ) )
| ~ ( v1_funct_2 @ SY183 @ SV45 @ SY182 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(323,plain,
! [SV46: $i] :
( ( ~ ! [SY184: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY184 @ ( k1_zfmisc_1 @ SV46 ) )
| ~ ( v1_xboole_0 @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(324,plain,
! [SV47: $i] :
( ( ! [SY185: $i] :
~ ! [SY186: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY186 @ SV47 @ SY185 )
| ~ ( v1_relat_1 @ SY186 ) )
| ~ ( v1_funct_1 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(325,plain,
! [SV48: $i] :
( ( ! [SY187: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV48 )
| ~ ~ ( v1_xboole_0 @ SY187 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SY187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(326,plain,
! [SV1: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(327,plain,
! [SV2: $i] :
( ( r1_tarski @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(328,plain,
! [SV50: $i,SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
| ~ ( v10_lattices @ SV50 ) )
| ~ ( l3_lattices @ SV50 ) )
| ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(329,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(330,plain,
! [SV51: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
| ~ ( v10_lattices @ SV51 ) )
| ~ ( l3_lattices @ SV51 ) )
| ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(331,plain,
( ( ~ ~ ( ~ ( l1_struct_0 @ sK2_SX0 )
| ~ ~ ( v3_struct_0 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[273]) ).
thf(332,plain,
! [SV52: $i,SV6: $i] :
( ( ~ ! [SY190: $i] :
~ ( m1_relset_1 @ SY190 @ SV6 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(333,plain,
! [SV7: $i,SV53: $i] :
( ( ! [SY191: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SY191 ) )
| ~ ( v1_funct_2 @ SY191 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SY191 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SY191 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SY191 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(334,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(335,plain,
( ( ~ ( l2_lattices @ sK3_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[277]) ).
thf(336,plain,
! [SV54: $i,SV9: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
| ~ ( v10_lattices @ SV54 ) )
| ~ ( l3_lattices @ SV54 ) )
| ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(337,plain,
! [SV10: $i] :
( ( ( ~ ( l1_lattices @ SV10 ) )
= $true )
| ( ( l1_struct_0 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(338,plain,
! [SV55: $i,SV11: $i] :
( ( ~ ( r2_hidden @ SV11 @ SV55 )
| ( m1_subset_1 @ SV11 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(339,plain,
! [SV56: $i,SV12: $i] :
( ( ! [SY193: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SY193 @ SV12 @ SV56 )
| ( m1_relset_1 @ SY193 @ SV12 @ SV56 ) )
| ~ ( ~ ( m1_relset_1 @ SY193 @ SV12 @ SV56 )
| ( m2_relset_1 @ SY193 @ SV12 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(340,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
| ~ ( v4_group_1 @ sK4_SX0 ) )
| ~ ( l1_group_1 @ sK4_SX0 ) )
| ! [SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY194 )
| ~ ( v1_funct_2 @ SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ SY194 @ sK1_A @ sK4_SX0 ) )
| ~ ( m2_relset_1 @ SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v2_funct_1 @ SY194 )
| ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ sK4_SX0 @ SY194 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ sK4_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[282]) ).
thf(341,plain,
! [SV57: $i,SV13: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV13 )
| ~ ~ ( v1_xboole_0 @ SV57 ) )
| ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(342,plain,
! [SV58: $i,SV14: $i] :
( ( ! [SY196: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV58 )
| ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SY196 ) ) )
| ~ ( v1_xboole_0 @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(343,plain,
! [SV15: $i] :
( ( ( ~ ( l2_lattices @ SV15 ) )
= $true )
| ( ( l1_struct_0 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(344,plain,
! [SV59: $i,SV16: $i] :
( ( ~ ( m1_subset_1 @ SV16 @ SV59 )
| ( v1_xboole_0 @ SV59 )
| ( r2_hidden @ SV16 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(345,plain,
( ( ~ ( l1_group_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[287]) ).
thf(346,plain,
( ( ~ ~ ( v1_xboole_0 @ sK6_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(347,plain,
! [SV17: $i] :
( ( ( ~ ( v1_xboole_0 @ SV17 ) )
= $true )
| ( ( SV17 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(348,plain,
! [SV60: $i,SV18: $i] :
( ( ! [SY197: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV18 @ SV60 )
| ~ ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SY197 ) ) )
| ( m1_subset_1 @ SV18 @ SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(349,plain,
! [SV19: $i] :
( ( ( ~ ( l1_lattices @ SV19 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(350,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) )
| ~ ( v2_funct_1 @ sK7_SX0 ) )
| ~ ( v1_xboole_0 @ sK7_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(351,plain,
! [SV61: $i,SV20: $i] :
( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV20 @ SV61 ) )
| ~ ( ~ ( r1_tarski @ SV20 @ SV61 )
| ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(352,plain,
! [SV21: $i] :
( ( ( ~ ( l2_lattices @ SV21 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(353,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( l1_struct_0 @ SV22 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(354,plain,
! [SV23: $i] :
( ( ! [SY149: $i] :
~ ( m1_subset_1 @ SY149 @ SV23 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(355,plain,
! [SV24: $i] :
( ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( l1_struct_0 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(356,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ! [SY198: $i] :
~ ( m2_relset_1 @ SY198 @ SV25 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(357,plain,
! [SV63: $i,SV26: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
| ~ ( v10_lattices @ SV63 ) )
| ~ ( l3_lattices @ SV63 ) )
| ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(358,plain,
! [SV64: $i,SV27: $i] :
( ( ~ ! [SY200: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY200 @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ SY200 ) )
| ~ ( v1_funct_1 @ SY200 ) )
| ~ ( v1_funct_2 @ SY200 @ SV27 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(359,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
| ~ ( v4_group_1 @ SV28 ) )
| ~ ( l1_group_1 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(360,plain,
( ( ~ ( l1_struct_0 @ sK8_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[302]) ).
thf(361,plain,
( ( ~ ( l3_lattices @ sK9_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[303]) ).
thf(362,plain,
! [SV29: $i,SV65: $i] :
( ( ! [SY201: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SY201 ) )
| ~ ( v1_funct_2 @ SY201 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SY201 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ! [SY202: $i,SY203: $i,SY204: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SY201 )
!= ( g3_lattices @ SY202 @ SY203 @ SY204 ) )
| ~ ( ~ ~ ( ( SV29 != SY202 )
| ( SV65 != SY203 ) )
| ( SY201 != SY204 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(363,plain,
! [SV30: $i] :
( ( ( ~ ( l3_lattices @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( l1_lattices @ SV30 )
| ~ ( l2_lattices @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(364,plain,
! [SV66: $i,SV31: $i] :
( ( ! [SY205: $i] :
( ~ ( m1_subset_1 @ SY205 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV31 @ SV66 ) ) )
| ( v1_relat_1 @ SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(365,plain,
! [SV67: $i,SV32: $i] :
( ( ~ ( r2_hidden @ SV32 @ SV67 )
| ~ ( r2_hidden @ SV67 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(366,plain,
! [SV68: $i,SV33: $i] :
( ( ! [SY206: $i] :
( ~ ( m2_relset_1 @ SY206 @ SV33 @ SV68 )
| ( m1_subset_1 @ SY206 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV33 @ SV68 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(367,plain,
( ( ~ ( v1_xboole_0 @ sK10_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[309]) ).
thf(368,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(369,plain,
! [SV69: $i,SV35: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
| ~ ( v10_lattices @ SV69 ) )
| ~ ( l3_lattices @ SV69 ) )
| ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(370,plain,
! [SV70: $i,SV36: $i] :
( ( ! [SY208: $i] :
( ~ ( m1_relset_1 @ SY208 @ SV36 @ SV70 )
| ~ ~ ( ~ ( v1_funct_1 @ SY208 )
| ~ ( v1_partfun1 @ SY208 @ SV36 @ SV70 ) )
| ~ ( ~ ( v1_funct_1 @ SY208 )
| ~ ( v1_funct_2 @ SY208 @ SV36 @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(371,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( l1_struct_0 @ SV37 ) ) )
= $true )
| ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(372,plain,
! [SV38: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV38 ) )
= $true )
| ( ( ~ ! [SY173: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY173 @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ SY173 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(373,plain,
! [SV71: $i,SV39: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
| ~ ( v10_lattices @ SV71 ) )
| ~ ( l3_lattices @ SV71 ) )
| ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(374,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) )
| ~ ( l3_lattices @ SV40 ) ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(375,plain,
! [SV72: $i,SV41: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV41 @ SV72 )
| ~ ( v1_xboole_0 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(376,plain,
! [SV73: $i,SV42: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV42 )
| ~ ( ( SV42 != SV73 ) ) )
| ~ ( v1_xboole_0 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(377,plain,
! [SV74: $i,SV43: $i] :
( ( ! [SY210: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SY210 ) )
| ~ ( v1_funct_2 @ SY210 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
| ~ ( m1_relset_1 @ SY210 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SY210 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SY210 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SY210 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(378,plain,
( ( ~ ( l1_lattices @ sK11_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[320]) ).
thf(379,plain,
! [SV44: $i] :
( ( ( ~ ( l3_lattices @ SV44 ) )
= $true )
| ( ( ~ ( v3_lattices @ SV44 )
| ( SV44
= ( g3_lattices @ ( u1_struct_0 @ SV44 ) @ ( u2_lattices @ SV44 ) @ ( u1_lattices @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(380,plain,
! [SV45: $i,SV75: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV75 )
| ! [SY211: $i] :
( ~ ( m1_relset_1 @ SY211 @ SV45 @ SV75 )
| ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_partfun1 @ SY211 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(381,plain,
! [SV46: $i] :
( ( ! [SY184: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY184 @ ( k1_zfmisc_1 @ SV46 ) )
| ~ ( v1_xboole_0 @ SY184 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(382,plain,
! [SV76: $i,SV47: $i] :
( ( ~ ! [SY212: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY212 @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ SY212 ) )
| ~ ( v1_funct_1 @ SY212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(383,plain,
! [SV77: $i,SV48: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV48 )
| ~ ~ ( v1_xboole_0 @ SV77 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(384,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
| ~ ( v10_lattices @ SV50 ) )
| ~ ( l3_lattices @ SV50 ) ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(385,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) ) )
= $false )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(386,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
| ~ ( v10_lattices @ SV51 ) )
| ~ ( l3_lattices @ SV51 ) ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(387,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK2_SX0 )
| ~ ~ ( v3_struct_0 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(388,plain,
! [SV52: $i,SV6: $i] :
( ( ! [SY190: $i] :
~ ( m1_relset_1 @ SY190 @ SV6 @ SV52 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(389,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
| ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(390,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(391,plain,
( ( l2_lattices @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(392,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
| ~ ( v10_lattices @ SV54 ) )
| ~ ( l3_lattices @ SV54 ) ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(393,plain,
! [SV10: $i] :
( ( ( l1_lattices @ SV10 )
= $false )
| ( ( l1_struct_0 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(394,plain,
! [SV55: $i,SV11: $i] :
( ( ( ~ ( r2_hidden @ SV11 @ SV55 ) )
= $true )
| ( ( m1_subset_1 @ SV11 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(395,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ~ ( ~ ( ~ ( m2_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m1_relset_1 @ SV79 @ SV12 @ SV56 ) )
| ~ ( ~ ( m1_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m2_relset_1 @ SV79 @ SV12 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(396,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
| ~ ( v4_group_1 @ sK4_SX0 ) )
| ~ ( l1_group_1 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(397,plain,
( ( ! [SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY194 )
| ~ ( v1_funct_2 @ SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ SY194 @ sK1_A @ sK4_SX0 ) )
| ~ ( m2_relset_1 @ SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v2_funct_1 @ SY194 )
| ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ sK4_SX0 @ SY194 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ sK4_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(398,plain,
! [SV57: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV13 )
| ~ ~ ( v1_xboole_0 @ SV57 ) ) )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(399,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV58 )
| ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) )
| ~ ( v1_xboole_0 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(400,plain,
! [SV15: $i] :
( ( ( l2_lattices @ SV15 )
= $false )
| ( ( l1_struct_0 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(401,plain,
! [SV59: $i,SV16: $i] :
( ( ( ~ ( m1_subset_1 @ SV16 @ SV59 ) )
= $true )
| ( ( ( v1_xboole_0 @ SV59 )
| ( r2_hidden @ SV16 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(402,plain,
( ( l1_group_1 @ sK5_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(403,plain,
( ( ~ ( v1_xboole_0 @ sK6_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(404,plain,
! [SV17: $i] :
( ( ( v1_xboole_0 @ SV17 )
= $false )
| ( ( SV17 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(405,plain,
! [SV81: $i,SV60: $i,SV18: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV18 @ SV60 )
| ~ ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SV81 ) ) )
| ( m1_subset_1 @ SV18 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(406,plain,
! [SV19: $i] :
( ( ( l1_lattices @ SV19 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(407,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) )
| ~ ( v2_funct_1 @ sK7_SX0 ) )
| ~ ( v1_xboole_0 @ sK7_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(408,plain,
! [SV61: $i,SV20: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV20 @ SV61 ) )
| ~ ( ~ ( r1_tarski @ SV20 @ SV61 )
| ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(409,plain,
! [SV21: $i] :
( ( ( l2_lattices @ SV21 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(410,plain,
! [SV22: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( l1_struct_0 @ SV22 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(411,plain,
! [SV23: $i] :
( ( ~ ( m1_subset_1 @ ( sK12_SY149 @ SV23 ) @ SV23 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[354]) ).
thf(412,plain,
! [SV24: $i] :
( ( ( l1_group_1 @ SV24 )
= $false )
| ( ( l1_struct_0 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(413,plain,
! [SV62: $i,SV25: $i] :
( ( ! [SY198: $i] :
~ ( m2_relset_1 @ SY198 @ SV25 @ SV62 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(414,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
| ~ ( v10_lattices @ SV63 ) )
| ~ ( l3_lattices @ SV63 ) ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(415,plain,
! [SV64: $i,SV27: $i] :
( ( ! [SY200: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY200 @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ SY200 ) )
| ~ ( v1_funct_1 @ SY200 ) )
| ~ ( v1_funct_2 @ SY200 @ SV27 @ SV64 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(416,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
| ~ ( v4_group_1 @ SV28 ) )
| ~ ( l1_group_1 @ SV28 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(417,plain,
( ( l1_struct_0 @ sK8_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(418,plain,
( ( l3_lattices @ sK9_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(419,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
| ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(420,plain,
! [SV30: $i] :
( ( ( l3_lattices @ SV30 )
= $false )
| ( ( ~ ( ~ ( l1_lattices @ SV30 )
| ~ ( l2_lattices @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(421,plain,
! [SV66: $i,SV31: $i,SV83: $i] :
( ( ~ ( m1_subset_1 @ SV83 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV31 @ SV66 ) ) )
| ( v1_relat_1 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(422,plain,
! [SV67: $i,SV32: $i] :
( ( ( ~ ( r2_hidden @ SV32 @ SV67 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV67 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(423,plain,
! [SV68: $i,SV33: $i,SV84: $i] :
( ( ~ ( m2_relset_1 @ SV84 @ SV33 @ SV68 )
| ( m1_subset_1 @ SV84 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV33 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(424,plain,
( ( v1_xboole_0 @ sK10_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(425,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) ) )
= $false )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(426,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
| ~ ( v10_lattices @ SV69 ) )
| ~ ( l3_lattices @ SV69 ) ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(427,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ~ ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
| ~ ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) )
| ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(428,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( l1_struct_0 @ SV37 ) ) )
= $false )
| ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(429,plain,
! [SV38: $i] :
( ( ( ~ ( v1_xboole_0 @ SV38 ) )
= $false )
| ( ( ~ ! [SY173: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY173 @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ SY173 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(430,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
| ~ ( v10_lattices @ SV71 ) )
| ~ ( l3_lattices @ SV71 ) ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(431,plain,
! [SV40: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) )
| ~ ( l3_lattices @ SV40 ) ) )
= $false )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(432,plain,
! [SV72: $i,SV41: $i] :
( ( ~ ( ~ ( r2_hidden @ SV41 @ SV72 )
| ~ ( v1_xboole_0 @ SV72 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(433,plain,
! [SV73: $i,SV42: $i] :
( ( ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV42 )
| ~ ( ( SV42 != SV73 ) ) )
| ~ ( v1_xboole_0 @ SV73 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(434,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
| ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
| ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(435,plain,
( ( l1_lattices @ sK11_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(436,plain,
! [SV44: $i] :
( ( ( l3_lattices @ SV44 )
= $false )
| ( ( ~ ( v3_lattices @ SV44 )
| ( SV44
= ( g3_lattices @ ( u1_struct_0 @ SV44 ) @ ( u2_lattices @ SV44 ) @ ( u1_lattices @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(437,plain,
! [SV45: $i,SV75: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV75 ) )
= $true )
| ( ( ! [SY211: $i] :
( ~ ( m1_relset_1 @ SY211 @ SV45 @ SV75 )
| ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_partfun1 @ SY211 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(438,plain,
! [SV46: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK13_SY184 @ SV46 ) @ ( k1_zfmisc_1 @ SV46 ) )
| ~ ( v1_xboole_0 @ ( sK13_SY184 @ SV46 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[381]) ).
thf(439,plain,
! [SV76: $i,SV47: $i] :
( ( ! [SY212: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY212 @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ SY212 ) )
| ~ ( v1_funct_1 @ SY212 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(440,plain,
! [SV77: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV48 )
| ~ ~ ( v1_xboole_0 @ SV77 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(441,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
| ~ ( v10_lattices @ SV50 ) )
| ~ ( l3_lattices @ SV50 ) ) )
= $false )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(442,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(443,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
| ~ ( v10_lattices @ SV51 ) )
| ~ ( l3_lattices @ SV51 ) ) )
= $false )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(444,plain,
( ( ~ ( l1_struct_0 @ sK2_SX0 )
| ~ ~ ( v3_struct_0 @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(445,plain,
! [SV6: $i,SV52: $i] :
( ( ~ ( m1_relset_1 @ ( sK14_SY190 @ SV52 @ SV6 ) @ SV6 @ SV52 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[388]) ).
thf(446,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
| ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(447,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(448,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
| ~ ( v10_lattices @ SV54 ) )
| ~ ( l3_lattices @ SV54 ) ) )
= $false )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(449,plain,
! [SV55: $i,SV11: $i] :
( ( ( r2_hidden @ SV11 @ SV55 )
= $false )
| ( ( m1_subset_1 @ SV11 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(450,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ~ ( ~ ( m2_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m1_relset_1 @ SV79 @ SV12 @ SV56 ) )
| ~ ( ~ ( m1_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m2_relset_1 @ SV79 @ SV12 @ SV56 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(451,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
| ~ ( v4_group_1 @ sK4_SX0 ) )
| ~ ( l1_group_1 @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(452,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) )
| ~ ( m2_relset_1 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v2_funct_1 @ sK15_SY194 )
| ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ sK4_SX0 @ sK15_SY194 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[397]) ).
thf(453,plain,
! [SV57: $i,SV13: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV13 )
| ~ ~ ( v1_xboole_0 @ SV57 ) ) )
= $false )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(454,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV58 )
| ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) )
| ~ ( v1_xboole_0 @ SV80 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(455,plain,
! [SV59: $i,SV16: $i] :
( ( ( m1_subset_1 @ SV16 @ SV59 )
= $false )
| ( ( ( v1_xboole_0 @ SV59 )
| ( r2_hidden @ SV16 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(456,plain,
( ( v1_xboole_0 @ sK6_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(457,plain,
! [SV81: $i,SV60: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV18 @ SV60 )
| ~ ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SV81 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(458,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(459,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) )
| ~ ( v2_funct_1 @ sK7_SX0 ) )
| ~ ( v1_xboole_0 @ sK7_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(460,plain,
! [SV61: $i,SV20: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV20 @ SV61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(461,plain,
! [SV61: $i,SV20: $i] :
( ( ~ ( ~ ( r1_tarski @ SV20 @ SV61 )
| ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(462,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
= $false )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(463,plain,
! [SV22: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( l1_struct_0 @ SV22 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(464,plain,
! [SV23: $i] :
( ( m1_subset_1 @ ( sK12_SY149 @ SV23 ) @ SV23 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(465,plain,
! [SV25: $i,SV62: $i] :
( ( ~ ( m2_relset_1 @ ( sK16_SY198 @ SV62 @ SV25 ) @ SV25 @ SV62 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[413]) ).
thf(466,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
| ~ ( v10_lattices @ SV63 ) )
| ~ ( l3_lattices @ SV63 ) ) )
= $false )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(467,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_2 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[415]) ).
thf(468,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
| ~ ( v4_group_1 @ SV28 ) )
| ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(469,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
| ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(470,plain,
! [SV30: $i] :
( ( ( ~ ( l1_lattices @ SV30 )
| ~ ( l2_lattices @ SV30 ) )
= $false )
| ( ( l3_lattices @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(471,plain,
! [SV66: $i,SV31: $i,SV83: $i] :
( ( ( ~ ( m1_subset_1 @ SV83 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV31 @ SV66 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(472,plain,
! [SV67: $i,SV32: $i] :
( ( ( r2_hidden @ SV32 @ SV67 )
= $false )
| ( ( ~ ( r2_hidden @ SV67 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(473,plain,
! [SV68: $i,SV33: $i,SV84: $i] :
( ( ( ~ ( m2_relset_1 @ SV84 @ SV33 @ SV68 ) )
= $true )
| ( ( m1_subset_1 @ SV84 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV33 @ SV68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(474,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(475,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
| ~ ( v10_lattices @ SV69 ) )
| ~ ( l3_lattices @ SV69 ) ) )
= $false )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(476,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ( m1_relset_1 @ SV85 @ SV36 @ SV70 ) )
= $true )
| ( ( ~ ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) )
| ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(477,plain,
! [SV37: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( l1_struct_0 @ SV37 ) )
= $true )
| ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(478,plain,
! [SV38: $i] :
( ( ( v1_xboole_0 @ SV38 )
= $true )
| ( ( ~ ! [SY173: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY173 @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ SY173 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(479,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
| ~ ( v10_lattices @ SV71 ) )
| ~ ( l3_lattices @ SV71 ) ) )
= $false )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(480,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) )
| ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(481,plain,
! [SV72: $i,SV41: $i] :
( ( ~ ( r2_hidden @ SV41 @ SV72 )
| ~ ( v1_xboole_0 @ SV72 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(482,plain,
! [SV73: $i,SV42: $i] :
( ( ~ ~ ( ~ ( v1_xboole_0 @ SV42 )
| ~ ( ( SV42 != SV73 ) ) )
| ~ ( v1_xboole_0 @ SV73 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(483,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
| ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
| ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(484,plain,
! [SV44: $i] :
( ( ( ~ ( v3_lattices @ SV44 ) )
= $true )
| ( ( SV44
= ( g3_lattices @ ( u1_struct_0 @ SV44 ) @ ( u2_lattices @ SV44 ) @ ( u1_lattices @ SV44 ) ) )
= $true )
| ( ( l3_lattices @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(485,plain,
! [SV45: $i,SV75: $i] :
( ( ( ~ ( v1_xboole_0 @ SV75 ) )
= $false )
| ( ( ! [SY211: $i] :
( ~ ( m1_relset_1 @ SY211 @ SV45 @ SV75 )
| ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_partfun1 @ SY211 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(486,plain,
! [SV46: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK13_SY184 @ SV46 ) @ ( k1_zfmisc_1 @ SV46 ) )
| ~ ( v1_xboole_0 @ ( sK13_SY184 @ SV46 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(487,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) )
| ~ ( v1_funct_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[439]) ).
thf(488,plain,
! [SV77: $i,SV48: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV48 )
| ~ ~ ( v1_xboole_0 @ SV77 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(489,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
| ~ ( v10_lattices @ SV50 ) )
| ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(490,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(491,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
| ~ ( v10_lattices @ SV51 ) )
| ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(492,plain,
( ( ~ ( l1_struct_0 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(493,plain,
( ( ~ ~ ( v3_struct_0 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(494,plain,
! [SV6: $i,SV52: $i] :
( ( m1_relset_1 @ ( sK14_SY190 @ SV52 @ SV6 ) @ SV6 @ SV52 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(495,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
| ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $false )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(496,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(497,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
| ~ ( v10_lattices @ SV54 ) )
| ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(498,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ~ ( ~ ( m2_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m1_relset_1 @ SV79 @ SV12 @ SV56 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(499,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ~ ( ~ ( m1_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m2_relset_1 @ SV79 @ SV12 @ SV56 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(500,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
| ~ ( v4_group_1 @ sK4_SX0 ) )
| ~ ( l1_group_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(501,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) )
| ~ ( m2_relset_1 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(502,plain,
( ( ~ ( v2_funct_1 @ sK15_SY194 )
| ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ sK4_SX0 @ sK15_SY194 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(503,plain,
! [SV57: $i,SV13: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV13 )
| ~ ~ ( v1_xboole_0 @ SV57 ) )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(504,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV58 )
| ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) )
| ~ ( v1_xboole_0 @ SV80 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(505,plain,
! [SV16: $i,SV59: $i] :
( ( ( v1_xboole_0 @ SV59 )
= $true )
| ( ( r2_hidden @ SV16 @ SV59 )
= $true )
| ( ( m1_subset_1 @ SV16 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(506,plain,
! [SV81: $i,SV60: $i,SV18: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV18 @ SV60 )
| ~ ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SV81 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(507,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) ) )
= $false )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(508,plain,
! [SV19: $i] :
( ( ( ~ ( m2_relset_1 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(509,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) )
| ~ ( v2_funct_1 @ sK7_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(510,plain,
( ( ~ ( v1_xboole_0 @ sK7_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(511,plain,
! [SV61: $i,SV20: $i] :
( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV20 @ SV61 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(512,plain,
! [SV61: $i,SV20: $i] :
( ( ~ ( r1_tarski @ SV20 @ SV61 )
| ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(513,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) ) )
= $false )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(514,plain,
! [SV21: $i] :
( ( ( ~ ( m2_relset_1 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
= $false )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(515,plain,
! [SV22: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV22 ) )
= $true )
| ( ( ~ ( l1_struct_0 @ SV22 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(516,plain,
! [SV25: $i,SV62: $i] :
( ( m2_relset_1 @ ( sK16_SY198 @ SV62 @ SV25 ) @ SV25 @ SV62 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(517,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
| ~ ( v10_lattices @ SV63 ) )
| ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(518,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_2 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(519,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
| ~ ( v4_group_1 @ SV28 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(520,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
| ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $false )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(521,plain,
! [SV30: $i] :
( ( ( ~ ( l1_lattices @ SV30 ) )
= $false )
| ( ( l3_lattices @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(522,plain,
! [SV30: $i] :
( ( ( ~ ( l2_lattices @ SV30 ) )
= $false )
| ( ( l3_lattices @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(523,plain,
! [SV66: $i,SV31: $i,SV83: $i] :
( ( ( m1_subset_1 @ SV83 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV31 @ SV66 ) ) )
= $false )
| ( ( v1_relat_1 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(524,plain,
! [SV32: $i,SV67: $i] :
( ( ( r2_hidden @ SV67 @ SV32 )
= $false )
| ( ( r2_hidden @ SV32 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(525,plain,
! [SV68: $i,SV33: $i,SV84: $i] :
( ( ( m2_relset_1 @ SV84 @ SV33 @ SV68 )
= $false )
| ( ( m1_subset_1 @ SV84 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV33 @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(526,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(527,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
| ~ ( v10_lattices @ SV69 ) )
| ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(528,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false )
| ( ( ~ ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) )
| ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(529,plain,
! [SV37: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV37 ) )
= $true )
| ( ( ~ ( l1_struct_0 @ SV37 ) )
= $true )
| ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(530,plain,
! [SV38: $i] :
( ( ( ! [SY173: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY173 @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ SY173 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(531,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
| ~ ( v10_lattices @ SV71 ) )
| ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(532,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(533,plain,
! [SV72: $i,SV41: $i] :
( ( ( ~ ( r2_hidden @ SV41 @ SV72 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(534,plain,
! [SV73: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( v1_xboole_0 @ SV42 )
| ~ ( ( SV42 != SV73 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(535,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
| ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
| ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(536,plain,
! [SV44: $i] :
( ( ( v3_lattices @ SV44 )
= $false )
| ( ( SV44
= ( g3_lattices @ ( u1_struct_0 @ SV44 ) @ ( u2_lattices @ SV44 ) @ ( u1_lattices @ SV44 ) ) )
= $true )
| ( ( l3_lattices @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(537,plain,
! [SV45: $i,SV75: $i] :
( ( ( v1_xboole_0 @ SV75 )
= $true )
| ( ( ! [SY211: $i] :
( ~ ( m1_relset_1 @ SY211 @ SV45 @ SV75 )
| ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY211 )
| ~ ( v1_partfun1 @ SY211 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SY211 @ SV45 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(538,plain,
! [SV46: $i] :
( ( ~ ( m1_subset_1 @ ( sK13_SY184 @ SV46 ) @ ( k1_zfmisc_1 @ SV46 ) )
| ~ ( v1_xboole_0 @ ( sK13_SY184 @ SV46 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(539,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) )
| ~ ( v1_funct_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(540,plain,
! [SV77: $i,SV48: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV48 )
| ~ ~ ( v1_xboole_0 @ SV77 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(541,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
| ~ ( v10_lattices @ SV50 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(542,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(543,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
| ~ ( v10_lattices @ SV51 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(544,plain,
( ( l1_struct_0 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(545,plain,
( ( ~ ( v3_struct_0 @ sK2_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(546,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
| ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(547,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(548,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
| ~ ( v10_lattices @ SV54 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(549,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ~ ( m2_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m1_relset_1 @ SV79 @ SV12 @ SV56 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(550,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ~ ( m1_relset_1 @ SV79 @ SV12 @ SV56 )
| ( m2_relset_1 @ SV79 @ SV12 @ SV56 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(551,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
| ~ ( v4_group_1 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(552,plain,
( ( ~ ( l1_group_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(553,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) )
| ~ ( m2_relset_1 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(554,plain,
( ( ~ ( v2_funct_1 @ sK15_SY194 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(555,plain,
( ( m1_lattice4 @ ( k3_latsubgr @ sK1_A @ sK4_SX0 @ sK15_SY194 ) @ ( k11_group_4 @ sK1_A ) @ ( k11_group_4 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(556,plain,
! [SV57: $i,SV13: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV13 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV57 ) )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(557,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV58 )
| ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(558,plain,
! [SV81: $i,SV60: $i,SV18: $i] :
( ( ( ~ ( r2_hidden @ SV18 @ SV60 )
| ~ ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SV81 ) ) )
= $true )
| ( ( m1_subset_1 @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(559,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) ) )
= $true )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(560,plain,
! [SV19: $i] :
( ( ( m2_relset_1 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) )
= $true )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(561,plain,
( ( ~ ( ~ ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) )
| ~ ( v2_funct_1 @ sK7_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(562,plain,
( ( v1_xboole_0 @ sK7_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(563,plain,
! [SV61: $i,SV20: $i] :
( ( ( ~ ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) ) )
= $true )
| ( ( r1_tarski @ SV20 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(564,plain,
! [SV61: $i,SV20: $i] :
( ( ( ~ ( r1_tarski @ SV20 @ SV61 ) )
= $true )
| ( ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(565,plain,
! [SV21: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) ) )
= $true )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(566,plain,
! [SV21: $i] :
( ( ( m2_relset_1 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) )
= $true )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(567,plain,
! [SV22: $i] :
( ( ( ~ ( v3_struct_0 @ SV22 ) )
= $false )
| ( ( ~ ( l1_struct_0 @ SV22 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(568,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
| ~ ( v10_lattices @ SV63 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(569,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_2 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(570,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
| ~ ( v4_group_1 @ SV28 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(571,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
| ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(572,plain,
! [SV30: $i] :
( ( ( l1_lattices @ SV30 )
= $true )
| ( ( l3_lattices @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(573,plain,
! [SV30: $i] :
( ( ( l2_lattices @ SV30 )
= $true )
| ( ( l3_lattices @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(574,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(575,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
| ~ ( v10_lattices @ SV69 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(576,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) ) )
= $true )
| ( ( ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(577,plain,
! [SV37: $i] :
( ( ( ~ ( v3_struct_0 @ SV37 ) )
= $false )
| ( ( ~ ( l1_struct_0 @ SV37 ) )
= $true )
| ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(578,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK19_SY173 @ SV38 ) @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_SY173 @ SV38 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[530]) ).
thf(579,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
| ~ ( v10_lattices @ SV71 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(580,plain,
! [SV40: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(581,plain,
! [SV72: $i,SV41: $i] :
( ( ( r2_hidden @ SV41 @ SV72 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(582,plain,
! [SV73: $i,SV42: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV42 )
| ~ ( ( SV42 != SV73 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(583,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
| ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
| ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(584,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
| ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(585,plain,
! [SV46: $i] :
( ( ~ ( m1_subset_1 @ ( sK13_SY184 @ SV46 ) @ ( k1_zfmisc_1 @ SV46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(586,plain,
! [SV46: $i] :
( ( ~ ( v1_xboole_0 @ ( sK13_SY184 @ SV46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(587,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) )
| ~ ( v1_funct_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(588,plain,
! [SV77: $i,SV48: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV48 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV77 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(589,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
| ~ ( v10_lattices @ SV50 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(590,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(591,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
| ~ ( v10_lattices @ SV51 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(592,plain,
( ( v3_struct_0 @ sK2_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(593,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
| ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(594,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(595,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
| ~ ( v10_lattices @ SV54 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(596,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ( ~ ( m2_relset_1 @ SV79 @ SV12 @ SV56 ) )
= $true )
| ( ( m1_relset_1 @ SV79 @ SV12 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(597,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ( ~ ( m1_relset_1 @ SV79 @ SV12 @ SV56 ) )
= $true )
| ( ( m2_relset_1 @ SV79 @ SV12 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(598,plain,
( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
| ~ ( v4_group_1 @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(599,plain,
( ( l1_group_1 @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(600,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) )
| ~ ( m2_relset_1 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(601,plain,
( ( v2_funct_1 @ sK15_SY194 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(602,plain,
! [SV57: $i,SV13: $i] :
( ( ( ~ ( v1_xboole_0 @ SV13 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV57 ) )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(603,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV14 @ SV58 )
| ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(604,plain,
! [SV81: $i,SV60: $i,SV18: $i] :
( ( ( ~ ( r2_hidden @ SV18 @ SV60 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SV81 ) ) )
= $true )
| ( ( m1_subset_1 @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(605,plain,
! [SV19: $i] :
( ( ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(606,plain,
( ( ~ ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) )
| ~ ( v2_funct_1 @ sK7_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(607,plain,
! [SV61: $i,SV20: $i] :
( ( ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) )
= $false )
| ( ( r1_tarski @ SV20 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(608,plain,
! [SV61: $i,SV20: $i] :
( ( ( r1_tarski @ SV20 @ SV61 )
= $false )
| ( ( m1_subset_1 @ SV20 @ ( k1_zfmisc_1 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(609,plain,
! [SV21: $i] :
( ( ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
= $false )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(610,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV22 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(611,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
| ~ ( v10_lattices @ SV63 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(612,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(613,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( v1_funct_2 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(614,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
| ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(615,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
| ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(616,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(617,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
| ~ ( v10_lattices @ SV69 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(618,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) ) )
= $false )
| ( ( ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(619,plain,
! [SV37: $i] :
( ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( ~ ( l1_struct_0 @ SV37 ) )
= $true )
| ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(620,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK19_SY173 @ SV38 ) @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_SY173 @ SV38 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(621,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
| ~ ( v10_lattices @ SV71 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(622,plain,
! [SV40: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v10_lattices @ SV40 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(623,plain,
! [SV41: $i,SV72: $i] :
( ( ( v1_xboole_0 @ SV72 )
= $false )
| ( ( r2_hidden @ SV41 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(624,plain,
! [SV73: $i,SV42: $i] :
( ( ( ~ ( v1_xboole_0 @ SV42 )
| ~ ( ( SV42 != SV73 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV73 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(625,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
| ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(626,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( m1_relset_1 @ SV87 @ SV45 @ SV75 ) )
= $true )
| ( ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(627,plain,
! [SV46: $i] :
( ( m1_subset_1 @ ( sK13_SY184 @ SV46 ) @ ( k1_zfmisc_1 @ SV46 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(628,plain,
! [SV46: $i] :
( ( v1_xboole_0 @ ( sK13_SY184 @ SV46 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(629,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(630,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ( v1_funct_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(631,plain,
! [SV77: $i,SV48: $i] :
( ( ( ~ ( v1_xboole_0 @ SV48 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV77 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(632,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
| ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(633,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(634,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
| ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(635,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
| ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $false )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(636,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(637,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
| ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(638,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ( m2_relset_1 @ SV79 @ SV12 @ SV56 )
= $false )
| ( ( m1_relset_1 @ SV79 @ SV12 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(639,plain,
! [SV56: $i,SV12: $i,SV79: $i] :
( ( ( m1_relset_1 @ SV79 @ SV12 @ SV56 )
= $false )
| ( ( m2_relset_1 @ SV79 @ SV12 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(640,plain,
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
| ~ ( v4_group_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(641,plain,
( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(642,plain,
( ( ~ ( m2_relset_1 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(643,plain,
! [SV57: $i,SV13: $i] :
( ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV57 ) )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(644,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ( ~ ( r2_hidden @ SV14 @ SV58 )
| ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV80 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(645,plain,
! [SV81: $i,SV60: $i,SV18: $i] :
( ( ( r2_hidden @ SV18 @ SV60 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SV81 ) ) )
= $true )
| ( ( m1_subset_1 @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(646,plain,
! [SV19: $i] :
( ( ( ~ ( v1_funct_1 @ ( u1_lattices @ SV19 ) ) )
= $false )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(647,plain,
! [SV19: $i] :
( ( ( ~ ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) ) )
= $false )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(648,plain,
( ( ~ ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(649,plain,
( ( ~ ( v2_funct_1 @ sK7_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(650,plain,
! [SV21: $i] :
( ( ( ~ ( v1_funct_1 @ ( u2_lattices @ SV21 ) ) )
= $false )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(651,plain,
! [SV21: $i] :
( ( ( ~ ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) ) )
= $false )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(652,plain,
! [SV22: $i] :
( ( ( l1_struct_0 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(653,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
| ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(654,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(655,plain,
! [SV27: $i,SV64: $i] :
( ( v1_funct_2 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(656,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(657,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
| ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $false )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(658,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(659,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
| ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(660,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) )
= $true )
| ( ( ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(661,plain,
! [SV37: $i] :
( ( ( l1_struct_0 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(662,plain,
! [SV38: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK19_SY173 @ SV38 ) @ ( k1_zfmisc_1 @ SV38 ) )
| ~ ~ ( v1_xboole_0 @ ( sK19_SY173 @ SV38 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(663,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
| ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(664,plain,
! [SV40: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV40 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV40 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(665,plain,
! [SV73: $i,SV42: $i] :
( ( ( ~ ( v1_xboole_0 @ SV42 ) )
= $true )
| ( ( ~ ( ( SV42 != SV73 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(666,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
| ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) ) )
= $false )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(667,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(668,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(669,plain,
! [SV47: $i,SV76: $i] :
( ( v1_funct_1 @ ( sK18_SY212 @ SV76 @ SV47 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(670,plain,
! [SV77: $i,SV48: $i] :
( ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV77 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(671,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(672,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(673,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(674,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
| ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(675,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(676,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(677,plain,
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(678,plain,
( ( ~ ( v4_group_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(679,plain,
( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(680,plain,
( ( m2_relset_1 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(681,plain,
! [SV13: $i,SV57: $i] :
( ( ( ~ ( v1_xboole_0 @ SV57 ) )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(682,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ( ~ ( r2_hidden @ SV14 @ SV58 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(683,plain,
! [SV18: $i,SV81: $i,SV60: $i] :
( ( ( m1_subset_1 @ SV60 @ ( k1_zfmisc_1 @ SV81 ) )
= $false )
| ( ( r2_hidden @ SV18 @ SV60 )
= $false )
| ( ( m1_subset_1 @ SV18 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(684,plain,
! [SV19: $i] :
( ( ( v1_funct_1 @ ( u1_lattices @ SV19 ) )
= $true )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(685,plain,
! [SV19: $i] :
( ( ( v1_funct_2 @ ( u1_lattices @ SV19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV19 ) @ ( u1_struct_0 @ SV19 ) ) @ ( u1_struct_0 @ SV19 ) )
= $true )
| ( ( l1_lattices @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(686,plain,
( ( ~ ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(687,plain,
( ( v2_funct_1 @ sK7_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(688,plain,
! [SV21: $i] :
( ( ( v1_funct_1 @ ( u2_lattices @ SV21 ) )
= $true )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(689,plain,
! [SV21: $i] :
( ( ( v1_funct_2 @ ( u2_lattices @ SV21 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ SV21 ) @ ( u1_struct_0 @ SV21 ) ) @ ( u1_struct_0 @ SV21 ) )
= $true )
| ( ( l2_lattices @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(690,plain,
! [SV22: $i] :
( ( ( v1_xboole_0 @ ( u1_struct_0 @ SV22 ) )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( l1_struct_0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(691,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(692,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
| ~ ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(693,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(694,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
| ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(695,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(696,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(697,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ( v1_funct_1 @ SV85 ) )
= $true )
| ( ( ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) )
= $true )
| ( ( ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(698,plain,
! [SV37: $i] :
( ( ( ! [SY172: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY172 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ SY172 ) ) )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(699,plain,
! [SV38: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK19_SY173 @ SV38 ) @ ( k1_zfmisc_1 @ SV38 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(700,plain,
! [SV38: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK19_SY173 @ SV38 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(701,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(702,plain,
! [SV40: $i] :
( ( ( ~ ( v3_struct_0 @ SV40 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV40 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(703,plain,
! [SV73: $i,SV42: $i] :
( ( ( v1_xboole_0 @ SV42 )
= $false )
| ( ( ~ ( ( SV42 != SV73 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(704,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
| ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(705,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(706,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 )
| ~ ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(707,plain,
! [SV48: $i,SV77: $i] :
( ( ( ~ ( v1_xboole_0 @ SV77 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(708,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) ) )
= $false )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(709,plain,
! [SV4: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(710,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) ) )
= $false )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(711,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(712,plain,
! [SV8: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(713,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) ) )
= $false )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(714,plain,
( ( ~ ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(715,plain,
( ( v4_group_1 @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(716,plain,
( ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
| ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(717,plain,
! [SV13: $i,SV57: $i] :
( ( ( v1_xboole_0 @ SV57 )
= $true )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( m1_relset_1 @ SY195 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY195 )
| ~ ~ ( v1_xboole_0 @ SY195 ) )
| ~ ( v1_partfun1 @ SY195 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SY195 @ SV13 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(718,plain,
! [SV80: $i,SV58: $i,SV14: $i] :
( ( ( r2_hidden @ SV14 @ SV58 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(719,plain,
( ( ~ ( v1_relat_1 @ sK7_SX0 )
| ~ ( v1_funct_1 @ sK7_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(720,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) ) )
= $false )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(721,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(722,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(723,plain,
! [SV28: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(724,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(725,plain,
! [SV34: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(726,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) ) )
= $false )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(727,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( v1_funct_1 @ SV85 )
= $false )
| ( ( ~ ( v1_partfun1 @ SV85 @ SV36 @ SV70 ) )
= $true )
| ( ( ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(728,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK20_SY172 @ SV37 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK20_SY172 @ SV37 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[698]) ).
thf(729,plain,
! [SV38: $i] :
( ( ( m1_subset_1 @ ( sK19_SY173 @ SV38 ) @ ( k1_zfmisc_1 @ SV38 ) )
= $true )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(730,plain,
! [SV38: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK19_SY173 @ SV38 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(731,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) ) )
= $false )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(732,plain,
! [SV40: $i] :
( ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( ~ ( v10_lattices @ SV40 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(733,plain,
! [SV73: $i,SV42: $i] :
( ( ( SV42 != SV73 )
= $false )
| ( ( v1_xboole_0 @ SV42 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(734,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(735,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(736,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(737,plain,
! [SV47: $i,SV76: $i] :
( ( ~ ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(738,plain,
! [SV48: $i,SV77: $i] :
( ( ( v1_xboole_0 @ SV77 )
= $true )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(739,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
| ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(740,plain,
! [SV4: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV4 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(741,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
| ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(742,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) ) )
= $false )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(743,plain,
! [SV8: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV8 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(744,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
| ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(745,plain,
( ( ~ ~ ( v3_struct_0 @ sK4_SX0 )
| ~ ( v3_group_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(746,plain,
( ( ~ ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(747,plain,
( ( ~ ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(748,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
| ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(749,plain,
! [SV14: $i,SV80: $i,SV58: $i] :
( ( ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) )
= $false )
| ( ( r2_hidden @ SV14 @ SV58 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(750,plain,
( ( ~ ( v1_relat_1 @ sK7_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(751,plain,
( ( ~ ( v1_funct_1 @ sK7_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(752,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
| ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(753,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(754,plain,
! [SV27: $i,SV64: $i] :
( ( v1_funct_1 @ ( sK17_SY200 @ SV64 @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(755,plain,
! [SV28: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(756,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) ) )
= $false )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(757,plain,
! [SV34: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV34 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(758,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(759,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( v1_partfun1 @ SV85 @ SV36 @ SV70 )
= $false )
| ( ( v1_funct_1 @ SV85 )
= $false )
| ( ( ~ ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) ) )
= $true )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(760,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK20_SY172 @ SV37 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK20_SY172 @ SV37 ) ) ) )
= $true )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(761,plain,
! [SV38: $i] :
( ( ( v1_xboole_0 @ ( sK19_SY173 @ SV38 ) )
= $false )
| ( ( v1_xboole_0 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(762,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
| ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(763,plain,
! [SV40: $i] :
( ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( ~ ( l3_lattices @ SV40 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(764,plain,
! [SV73: $i,SV42: $i] :
( ( ( SV42 = SV73 )
= $true )
| ( ( v1_xboole_0 @ SV42 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV73 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(765,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) ) )
= $false )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(766,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(767,plain,
! [SV47: $i,SV76: $i] :
( ( m1_relset_1 @ ( sK18_SY212 @ SV76 @ SV47 ) @ SV47 @ SV76 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(768,plain,
! [SV47: $i,SV76: $i] :
( ( v1_relat_1 @ ( sK18_SY212 @ SV76 @ SV47 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(769,plain,
! [SV77: $i,SV48: $i] :
( ( ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV48 @ SV77 ) )
= $false )
| ( ( v1_xboole_0 @ SV48 )
= $true )
| ( ( v1_xboole_0 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(770,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(771,plain,
! [SV4: $i] :
( ( ( ~ ( v3_struct_0 @ SV4 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(772,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(773,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(774,plain,
! [SV8: $i] :
( ( ( ~ ( v3_struct_0 @ SV8 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(775,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(776,plain,
( ( ~ ~ ( v3_struct_0 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(777,plain,
( ( ~ ( v3_group_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(778,plain,
( ( ~ ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(779,plain,
( ( v1_group_6 @ sK15_SY194 @ sK1_A @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(780,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( m1_relset_1 @ SV88 @ SV13 @ SV57 ) )
= $true )
| ( ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(781,plain,
! [SV58: $i,SV14: $i,SV80: $i] :
( ( ( v1_xboole_0 @ SV80 )
= $false )
| ( ( r2_hidden @ SV14 @ SV58 )
= $false )
| ( ( m1_subset_1 @ SV58 @ ( k1_zfmisc_1 @ SV80 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(782,plain,
( ( v1_relat_1 @ sK7_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(783,plain,
( ( v1_funct_1 @ sK7_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(784,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(785,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
| ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(786,plain,
! [SV28: $i] :
( ( ( ~ ( v3_struct_0 @ SV28 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(787,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(788,plain,
! [SV34: $i] :
( ( ( ~ ( v3_struct_0 @ SV34 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(789,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(790,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ( v1_funct_1 @ SV85 )
| ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) )
= $false )
| ( ( v1_funct_1 @ SV85 )
= $false )
| ( ( v1_partfun1 @ SV85 @ SV36 @ SV70 )
= $false )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(791,plain,
! [SV37: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK20_SY172 @ SV37 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
| ~ ~ ( v1_xboole_0 @ ( sK20_SY172 @ SV37 ) ) )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(792,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(793,plain,
! [SV40: $i] :
( ( ( l3_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( ! [SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY176 )
| ~ ( v10_lattices @ SY176 ) )
| ~ ( l3_lattices @ SY176 ) )
| ! [SY177: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY177 )
| ~ ( v1_funct_2 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( m2_relset_1 @ SY177 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SY176 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY177 @ SV40 @ SY176 )
| ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY177 @ SV40 @ SY176 )
| ~ ( m3_vectsp_8 @ SY177 @ SV40 @ SY176 ) )
| ( m1_lattice4 @ SY177 @ SV40 @ SY176 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(794,plain,
! [SV42: $i,SV73: $i] :
( ( ( v1_xboole_0 @ SV73 )
= $false )
| ( ( v1_xboole_0 @ SV42 )
= $false )
| ( ( SV42 = SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(795,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(796,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( v1_funct_1 @ SV87 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(797,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(798,plain,
! [SV4: $i] :
( ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(799,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(800,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(801,plain,
! [SV8: $i] :
( ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(802,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(803,plain,
( ( ~ ( v3_struct_0 @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(804,plain,
( ( v3_group_1 @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(805,plain,
( ( ~ ( v1_funct_1 @ sK15_SY194 )
| ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(806,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(807,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(808,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[785]) ).
thf(809,plain,
! [SV27: $i,SV64: $i] :
( ( ~ ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[785]) ).
thf(810,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ( v3_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(811,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(812,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(813,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(814,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ( v1_funct_1 @ SV85 ) )
= $false )
| ( ( v1_funct_1 @ SV85 )
= $false )
| ( ( v1_partfun1 @ SV85 @ SV36 @ SV70 )
= $false )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(815,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( ~ ( v1_funct_2 @ SV85 @ SV36 @ SV70 ) )
= $false )
| ( ( v1_funct_1 @ SV85 )
= $false )
| ( ( v1_partfun1 @ SV85 @ SV36 @ SV70 )
= $false )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(816,plain,
! [SV37: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK20_SY172 @ SV37 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(817,plain,
! [SV37: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK20_SY172 @ SV37 ) ) )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(818,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(819,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV89 )
| ~ ( v10_lattices @ SV89 ) )
| ~ ( l3_lattices @ SV89 ) )
| ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(820,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(821,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(822,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
| ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(823,plain,
! [SV4: $i] :
( ( ( v3_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(824,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
| ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(825,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $false )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(826,plain,
! [SV8: $i] :
( ( ( v3_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(827,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
| ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(828,plain,
( ( v3_struct_0 @ sK4_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(829,plain,
( ( ~ ( v1_funct_1 @ sK15_SY194 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(830,plain,
( ( ~ ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(831,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(832,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
| ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(833,plain,
! [SV27: $i,SV64: $i] :
( ( m1_relset_1 @ ( sK17_SY200 @ SV64 @ SV27 ) @ SV27 @ SV64 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(834,plain,
! [SV27: $i,SV64: $i] :
( ( v1_relat_1 @ ( sK17_SY200 @ SV64 @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(835,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ( v4_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(836,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $false )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(837,plain,
! [SV34: $i] :
( ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(838,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
| ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(839,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( v1_funct_1 @ SV85 )
= $true )
| ( ( v1_funct_1 @ SV85 )
= $false )
| ( ( v1_partfun1 @ SV85 @ SV36 @ SV70 )
= $false )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(840,plain,
! [SV70: $i,SV36: $i,SV85: $i] :
( ( ( v1_funct_2 @ SV85 @ SV36 @ SV70 )
= $true )
| ( ( v1_funct_1 @ SV85 )
= $false )
| ( ( v1_partfun1 @ SV85 @ SV36 @ SV70 )
= $false )
| ( ( m1_relset_1 @ SV85 @ SV36 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(841,plain,
! [SV37: $i] :
( ( ( m1_subset_1 @ ( sK20_SY172 @ SV37 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ SV37 ) ) )
= $true )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(842,plain,
! [SV37: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK20_SY172 @ SV37 ) ) )
= $true )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(843,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
| ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(844,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV89 )
| ~ ( v10_lattices @ SV89 ) )
| ~ ( l3_lattices @ SV89 ) ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(845,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) ) )
= $false )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(846,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(847,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(848,plain,
! [SV4: $i] :
( ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(849,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(850,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
| ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(851,plain,
! [SV8: $i] :
( ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(852,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(853,plain,
( ( v1_funct_1 @ sK15_SY194 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(854,plain,
( ( v1_funct_2 @ sK15_SY194 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(855,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(856,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(857,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(858,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
| ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(859,plain,
! [SV34: $i] :
( ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(860,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(861,plain,
! [SV37: $i] :
( ( ( v1_xboole_0 @ ( sK20_SY172 @ SV37 ) )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( l1_struct_0 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(862,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(863,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV89 )
| ~ ( v10_lattices @ SV89 ) )
| ~ ( l3_lattices @ SV89 ) ) )
= $false )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(864,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(865,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
| ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(866,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(867,plain,
! [SV4: $i] :
( ( ( l1_group_1 @ SV4 )
= $false )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY128 )
| ~ ( v3_group_1 @ SY128 ) )
| ~ ( v4_group_1 @ SY128 ) )
| ~ ( l1_group_1 @ SY128 ) )
| ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY129 )
| ~ ( v1_funct_2 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v1_group_6 @ SY129 @ SV4 @ SY128 ) )
| ~ ( m2_relset_1 @ SY129 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SY128 ) ) )
| ~ ( v2_funct_1 @ SY129 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SY128 @ SY129 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SY128 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(868,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(869,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(870,plain,
! [SV8: $i] :
( ( ( l1_group_1 @ SV8 )
= $false )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(871,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(872,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( v1_funct_1 @ SV88 )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(873,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(874,plain,
! [SV28: $i] :
( ( ( l1_group_1 @ SV28 )
= $false )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(875,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(876,plain,
! [SV34: $i] :
( ( ( l1_group_1 @ SV34 )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY166 )
| ~ ( v3_group_1 @ SY166 ) )
| ~ ( v4_group_1 @ SY166 ) )
| ~ ( l1_group_1 @ SY166 ) )
| ! [SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY167 )
| ~ ( v1_funct_2 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ~ ( v1_group_6 @ SY167 @ SV34 @ SY166 ) )
| ~ ( m2_relset_1 @ SY167 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SY166 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SY166 @ SY167 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SY166 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(877,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(878,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(879,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV89 )
| ~ ( v10_lattices @ SV89 ) )
| ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(880,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(881,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) ) )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(882,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( v1_funct_2 @ SV87 @ SV45 @ SV75 ) )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(883,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v10_lattices @ SV3 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(884,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
| ~ ( v4_group_1 @ SV90 ) )
| ~ ( l1_group_1 @ SV90 ) )
| ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(885,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v10_lattices @ SV5 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(886,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) ) )
= $false )
| ( ( ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(887,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(888,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(889,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( v1_funct_1 @ SV88 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(890,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v10_lattices @ SV26 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(891,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(892,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) ) )
= $false )
| ( ( ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(893,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) )
| ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(894,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v10_lattices @ SV35 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(895,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV39 )
| ~ ( v10_lattices @ SV39 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(896,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV89 )
| ~ ( v10_lattices @ SV89 ) ) )
= $true )
| ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(897,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(898,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) ) )
= $true )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(899,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $true )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(900,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV3 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV3 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(901,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
| ~ ( v4_group_1 @ SV90 ) )
| ~ ( l1_group_1 @ SV90 ) ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(902,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV5 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV5 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(903,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ( v1_funct_1 @ SV53 )
| ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(904,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(905,plain,
! [SV8: $i] :
( ( ( ~ ( v15_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(906,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV9 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(907,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(908,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV26 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV26 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(909,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(910,plain,
! [SV28: $i] :
( ( ( ~ ( l3_lattices @ ( k11_group_4 @ SV28 ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(911,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ( v1_funct_1 @ SV65 )
| ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(912,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(913,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV35 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV35 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(914,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV39 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV39 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(915,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV89 )
| ~ ( v10_lattices @ SV89 ) ) )
= $false )
| ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(916,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(917,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( v1_funct_1 @ SV87 )
| ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(918,plain,
! [SV50: $i,SV3: $i] :
( ( ( ~ ( v3_struct_0 @ SV3 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV3 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(919,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
| ~ ( v4_group_1 @ SV90 ) )
| ~ ( l1_group_1 @ SV90 ) ) )
= $false )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(920,plain,
! [SV51: $i,SV5: $i] :
( ( ( ~ ( v3_struct_0 @ SV5 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV5 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(921,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( ~ ( v1_funct_1 @ SV53 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(922,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(923,plain,
! [SV8: $i] :
( ( ( v15_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[905]) ).
thf(924,plain,
! [SV54: $i,SV9: $i] :
( ( ( ~ ( v3_struct_0 @ SV9 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(925,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(926,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( v3_struct_0 @ SV26 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV26 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(927,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(928,plain,
! [SV28: $i] :
( ( ( l3_lattices @ ( k11_group_4 @ SV28 ) )
= $true )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(929,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( ~ ( v1_funct_1 @ SV65 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(930,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) ) )
= $false )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(931,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ( v3_struct_0 @ SV35 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV35 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(932,plain,
! [SV71: $i,SV39: $i] :
( ( ( ~ ( v3_struct_0 @ SV39 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV39 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(933,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV89 )
| ~ ( v10_lattices @ SV89 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(934,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(935,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( v1_funct_1 @ SV87 ) )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(936,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( ~ ( v1_partfun1 @ SV87 @ SV45 @ SV75 ) )
= $false )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(937,plain,
! [SV50: $i,SV3: $i] :
( ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( ~ ( v10_lattices @ SV3 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(938,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
| ~ ( v4_group_1 @ SV90 ) )
| ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(939,plain,
! [SV51: $i,SV5: $i] :
( ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( ~ ( v10_lattices @ SV5 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(940,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(941,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(942,plain,
! [SV54: $i,SV9: $i] :
( ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( ~ ( v10_lattices @ SV9 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(943,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
| ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(944,plain,
! [SV63: $i,SV26: $i] :
( ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( ~ ( v10_lattices @ SV26 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(945,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(946,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(947,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(948,plain,
! [SV69: $i,SV35: $i] :
( ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( ~ ( v10_lattices @ SV35 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(949,plain,
! [SV71: $i,SV39: $i] :
( ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( v10_lattices @ SV39 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(950,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV89 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV89 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(951,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(952,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( v1_funct_1 @ SV87 )
= $true )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(953,plain,
! [SV75: $i,SV45: $i,SV87: $i] :
( ( ( v1_partfun1 @ SV87 @ SV45 @ SV75 )
= $true )
| ( ( v1_funct_1 @ SV87 )
= $false )
| ( ( v1_funct_2 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( m1_relset_1 @ SV87 @ SV45 @ SV75 )
= $false )
| ( ( v1_xboole_0 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(954,plain,
! [SV50: $i,SV3: $i] :
( ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( ~ ( l3_lattices @ SV3 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(955,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
| ~ ( v4_group_1 @ SV90 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(956,plain,
! [SV51: $i,SV5: $i] :
( ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( ~ ( l3_lattices @ SV5 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(957,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(958,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(959,plain,
! [SV8: $i] :
( ( ( ~ ( v14_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(960,plain,
! [SV54: $i,SV9: $i] :
( ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( ~ ( l3_lattices @ SV9 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(961,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(962,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( v1_funct_2 @ SV88 @ SV13 @ SV57 ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(963,plain,
! [SV63: $i,SV26: $i] :
( ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( ~ ( l3_lattices @ SV26 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(964,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(965,plain,
! [SV28: $i] :
( ( ( ~ ( v10_lattices @ ( k11_group_4 @ SV28 ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(966,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(967,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(968,plain,
! [SV69: $i,SV35: $i] :
( ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( ~ ( l3_lattices @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(969,plain,
! [SV71: $i,SV39: $i] :
( ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( ~ ( l3_lattices @ SV39 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(970,plain,
! [SV40: $i,SV89: $i] :
( ( ( ~ ( v3_struct_0 @ SV89 ) )
= $false )
| ( ( ~ ( v10_lattices @ SV89 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(971,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
| ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(972,plain,
! [SV50: $i,SV3: $i] :
( ( ( l3_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(973,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
| ~ ( v4_group_1 @ SV90 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(974,plain,
! [SV51: $i,SV5: $i] :
( ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(975,plain,
! [SV78: $i,SV7: $i,SV53: $i] :
( ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV78 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(976,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(977,plain,
! [SV8: $i] :
( ( ( v14_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(978,plain,
! [SV54: $i,SV9: $i] :
( ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(979,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) ) )
= $true )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(980,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $true )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(981,plain,
! [SV63: $i,SV26: $i] :
( ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(982,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(983,plain,
! [SV28: $i] :
( ( ( v10_lattices @ ( k11_group_4 @ SV28 ) )
= $true )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(984,plain,
! [SV82: $i,SV29: $i,SV65: $i] :
( ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV82 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(985,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(986,plain,
! [SV69: $i,SV35: $i] :
( ( ( l3_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV69 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(987,plain,
! [SV71: $i,SV39: $i] :
( ( ( l3_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(988,plain,
! [SV40: $i,SV89: $i] :
( ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( ~ ( v10_lattices @ SV89 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(989,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(990,plain,
! [SV3: $i,SV50: $i] :
( ( ( ~ ( v3_struct_0 @ SV50 ) )
= $false )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(991,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
| ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(992,plain,
! [SV5: $i,SV51: $i] :
( ( ( ~ ( v3_struct_0 @ SV51 ) )
= $false )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(993,plain,
! [SV7: $i,SV53: $i,SV78: $i] :
( ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(994,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(995,plain,
! [SV9: $i,SV54: $i] :
( ( ( ~ ( v3_struct_0 @ SV54 ) )
= $false )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(996,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
| ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(997,plain,
! [SV26: $i,SV63: $i] :
( ( ( ~ ( v3_struct_0 @ SV63 ) )
= $false )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(998,plain,
! [SV28: $i] :
( ( ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(999,plain,
! [SV29: $i,SV65: $i,SV82: $i] :
( ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1000,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1001,plain,
! [SV35: $i,SV69: $i] :
( ( ( ~ ( v3_struct_0 @ SV69 ) )
= $false )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1002,plain,
! [SV39: $i,SV71: $i] :
( ( ( ~ ( v3_struct_0 @ SV71 ) )
= $false )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l3_lattices @ SV39 )
= $false )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1003,plain,
! [SV40: $i,SV89: $i] :
( ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( ~ ( l3_lattices @ SV89 ) )
= $true )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1004,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1005,plain,
! [SV3: $i,SV50: $i] :
( ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( ~ ( v10_lattices @ SV50 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1006,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1007,plain,
! [SV5: $i,SV51: $i] :
( ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( ~ ( v10_lattices @ SV51 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1008,plain,
! [SV53: $i,SV7: $i,SV78: $i] :
( ( ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1009,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1010,plain,
! [SV8: $i] :
( ( ( ~ ( v13_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1011,plain,
! [SV9: $i,SV54: $i] :
( ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( ~ ( v10_lattices @ SV54 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1012,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1013,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( v1_partfun1 @ SV88 @ SV13 @ SV57 ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1014,plain,
! [SV26: $i,SV63: $i] :
( ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( ~ ( v10_lattices @ SV63 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1015,plain,
! [SV28: $i] :
( ( ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1016,plain,
! [SV28: $i] :
( ( ( ~ ( v3_lattices @ ( k11_group_4 @ SV28 ) ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1017,plain,
! [SV65: $i,SV29: $i,SV82: $i] :
( ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 ) )
= $true )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1018,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1019,plain,
! [SV35: $i,SV69: $i] :
( ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false )
| ( ( ~ ( v10_lattices @ SV69 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1020,plain,
! [SV39: $i,SV71: $i] :
( ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l3_lattices @ SV39 )
= $false )
| ( ( ~ ( v10_lattices @ SV71 ) )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1021,plain,
! [SV40: $i,SV89: $i] :
( ( ( l3_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( ! [SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY216 )
| ~ ( v1_funct_2 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SY216 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SY216 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SY216 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SY216 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SY216 @ SV40 @ SV89 ) ) ) ) )
= $true )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1022,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1023,plain,
! [SV3: $i,SV50: $i] :
( ( ( v10_lattices @ SV50 )
= $false )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( ~ ( l3_lattices @ SV50 ) )
= $true )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1024,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1025,plain,
! [SV5: $i,SV51: $i] :
( ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( ~ ( l3_lattices @ SV51 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1026,plain,
! [SV53: $i,SV7: $i,SV78: $i] :
( ( ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( ~ ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1027,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1028,plain,
! [SV8: $i] :
( ( ( v13_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1029,plain,
! [SV9: $i,SV54: $i] :
( ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( ~ ( l3_lattices @ SV54 ) )
= $true )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1030,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) ) )
= $true )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1031,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( v1_partfun1 @ SV88 @ SV13 @ SV57 )
= $true )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1032,plain,
! [SV26: $i,SV63: $i] :
( ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( ~ ( l3_lattices @ SV63 ) )
= $true )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1033,plain,
! [SV28: $i] :
( ( ( ~ ( v3_struct_0 @ ( k11_group_4 @ SV28 ) ) )
= $true )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1034,plain,
! [SV28: $i] :
( ( ( v3_lattices @ ( k11_group_4 @ SV28 ) )
= $true )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1035,plain,
! [SV65: $i,SV29: $i,SV82: $i] :
( ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SY213 @ SY214 @ SY215 ) )
| ~ ( ~ ~ ( ( SV29 != SY213 )
| ( SV65 != SY214 ) )
| ( SV82 != SY215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1036,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1037,plain,
! [SV35: $i,SV69: $i] :
( ( ( v10_lattices @ SV69 )
= $false )
| ( ( l3_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( ~ ( l3_lattices @ SV69 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1038,plain,
! [SV39: $i,SV71: $i] :
( ( ( v10_lattices @ SV71 )
= $false )
| ( ( l3_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( ~ ( l3_lattices @ SV71 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1039,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV92 )
| ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1040,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1041,plain,
! [SV3: $i,SV50: $i] :
( ( ( l3_lattices @ SV50 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( v10_lattices @ SV50 )
= $false )
| ( ( ~ ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1042,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV90 )
| ~ ( v3_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1043,plain,
! [SV5: $i,SV51: $i] :
( ( ( l3_lattices @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( ! [SY189: $i] :
( ~ ( m4_vectsp_8 @ SY189 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY189 )
| ~ ( v1_funct_2 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SY189 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1044,plain,
! [SV78: $i,SV53: $i,SV7: $i] :
( ( ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
| ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) )
= $false )
| ( ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1045,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1046,plain,
! [SV9: $i,SV54: $i] :
( ( ( l3_lattices @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( ! [SY192: $i] :
( ~ ( m1_lattice4 @ SY192 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY192 )
| ~ ( v1_funct_2 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SY192 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1047,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( v1_funct_1 @ SV88 )
| ~ ~ ( v1_xboole_0 @ SV88 ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1048,plain,
! [SV26: $i,SV63: $i] :
( ( ( l3_lattices @ SV63 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( ! [SY199: $i] :
( ~ ( m3_vectsp_8 @ SY199 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY199 )
| ~ ( v1_funct_2 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SY199 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1049,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ ( k11_group_4 @ SV28 ) )
= $false )
| ( ( v4_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( v3_group_1 @ SV28 )
= $false )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1050,plain,
! [SV93: $i,SV82: $i,SV65: $i,SV29: $i] :
( ( ( ! [SY219: $i,SY220: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SV93 @ SY219 @ SY220 ) )
| ~ ( ~ ~ ( ( SV29 != SV93 )
| ( SV65 != SY219 ) )
| ( SV82 != SY220 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1051,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV91 )
| ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1052,plain,
! [SV35: $i,SV69: $i] :
( ( ( l3_lattices @ SV69 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( l3_lattices @ SV35 )
= $false )
| ( ( v10_lattices @ SV69 )
= $false )
| ( ( ~ ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1053,plain,
! [SV39: $i,SV71: $i] :
( ( ( l3_lattices @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( l3_lattices @ SV39 )
= $false )
| ( ( v10_lattices @ SV71 )
= $false )
| ( ( ~ ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1054,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV92 )
| ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1055,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1056,plain,
! [SV50: $i,SV3: $i] :
( ( ( ! [SY188: $i] :
~ ( m4_vectsp_8 @ SY188 @ SV3 @ SV50 ) )
= $false )
| ( ( v10_lattices @ SV50 )
= $false )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( l3_lattices @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1057,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV90 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1058,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) )
= $true )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1059,plain,
! [SV78: $i,SV53: $i,SV7: $i] :
( ( ( ~ ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) )
= $false )
| ( ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1060,plain,
! [SV78: $i,SV53: $i,SV7: $i] :
( ( ( ~ ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) ) )
= $false )
| ( ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1061,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1062,plain,
! [SV8: $i] :
( ( ( ~ ( v10_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1063,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV95 )
| ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) )
= $true )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1064,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( v1_funct_1 @ SV88 ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1065,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV88 ) )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1066,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
| ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV96 )
| ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) )
= $true )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1067,plain,
! [SV97: $i,SV93: $i,SV82: $i,SV65: $i,SV29: $i] :
( ( ( ! [SY221: $i] :
( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SV93 @ SV97 @ SY221 ) )
| ~ ( ~ ~ ( ( SV29 != SV93 )
| ( SV65 != SV97 ) )
| ( SV82 != SY221 ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1068,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1069,plain,
! [SV69: $i,SV35: $i] :
( ( ( ! [SY207: $i] :
~ ( m1_lattice4 @ SY207 @ SV35 @ SV69 ) )
= $false )
| ( ( v10_lattices @ SV69 )
= $false )
| ( ( l3_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( l3_lattices @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1070,plain,
! [SV71: $i,SV39: $i] :
( ( ( ! [SY209: $i] :
~ ( m3_vectsp_8 @ SY209 @ SV39 @ SV71 ) )
= $false )
| ( ( v10_lattices @ SV71 )
= $false )
| ( ( l3_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( l3_lattices @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1071,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV92 )
| ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1072,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1073,plain,
! [SV3: $i,SV50: $i] :
( ( ( ~ ( m4_vectsp_8 @ ( sK21_SY188 @ SV50 @ SV3 ) @ SV3 @ SV50 ) )
= $false )
| ( ( v10_lattices @ SV50 )
= $false )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( l3_lattices @ SV50 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1056]) ).
thf(1074,plain,
! [SV4: $i,SV90: $i] :
( ( ( ~ ( v3_struct_0 @ SV90 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1075,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) )
= $true )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1076,plain,
! [SV78: $i,SV53: $i,SV7: $i] :
( ( ( v3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
= $true )
| ( ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1077,plain,
! [SV78: $i,SV53: $i,SV7: $i] :
( ( ( l3_lattices @ ( g3_lattices @ SV7 @ SV53 @ SV78 ) )
= $true )
| ( ( v1_funct_2 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( m1_relset_1 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV53 )
= $false )
| ( ( v1_funct_2 @ SV53 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false )
| ( ( v1_funct_1 @ SV78 )
= $false )
| ( ( m1_relset_1 @ SV78 @ ( k2_zfmisc_1 @ SV7 @ SV7 ) @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1078,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1079,plain,
! [SV8: $i] :
( ( ( v10_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1080,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ( m1_lattice4 @ SV95 @ SV9 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV95 )
| ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) )
= $true )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1081,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( v1_funct_1 @ SV88 )
= $true )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1082,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( ~ ( v1_xboole_0 @ SV88 ) )
= $true )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1083,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV96 )
| ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) )
= $true )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1084,plain,
! [SV98: $i,SV97: $i,SV93: $i,SV82: $i,SV65: $i,SV29: $i] :
( ( ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
| ~ ( ~ ~ ( ( SV29 != SV93 )
| ( SV65 != SV97 ) )
| ( SV82 != SV98 ) ) )
= $true )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1085,plain,
! [SV34: $i,SV91: $i] :
( ( ( ~ ( v3_struct_0 @ SV91 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1086,plain,
! [SV35: $i,SV69: $i] :
( ( ( ~ ( m1_lattice4 @ ( sK22_SY207 @ SV69 @ SV35 ) @ SV35 @ SV69 ) )
= $false )
| ( ( v10_lattices @ SV69 )
= $false )
| ( ( l3_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( l3_lattices @ SV69 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1069]) ).
thf(1087,plain,
! [SV39: $i,SV71: $i] :
( ( ( ~ ( m3_vectsp_8 @ ( sK23_SY209 @ SV71 @ SV39 ) @ SV39 @ SV71 ) )
= $false )
| ( ( v10_lattices @ SV71 )
= $false )
| ( ( l3_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( l3_lattices @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1070]) ).
thf(1088,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV92 )
| ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
| ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1089,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1090,plain,
! [SV3: $i,SV50: $i] :
( ( ( m4_vectsp_8 @ ( sK21_SY188 @ SV50 @ SV3 ) @ SV3 @ SV50 )
= $true )
| ( ( v10_lattices @ SV50 )
= $false )
| ( ( l3_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v10_lattices @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( l3_lattices @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1091,plain,
! [SV4: $i,SV90: $i] :
( ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( ~ ( v3_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1092,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) )
= $true )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1093,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1094,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV95 )
| ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) )
= $true )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1095,plain,
! [SV57: $i,SV13: $i,SV88: $i] :
( ( ( v1_xboole_0 @ SV88 )
= $false )
| ( ( v1_funct_1 @ SV88 )
= $false )
| ( ( v1_funct_2 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( m1_relset_1 @ SV88 @ SV13 @ SV57 )
= $false )
| ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( v1_xboole_0 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1096,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV96 )
| ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) )
= $true )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1097,plain,
! [SV98: $i,SV97: $i,SV93: $i,SV82: $i,SV65: $i,SV29: $i] :
( ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
!= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV29 != SV93 )
| ( SV65 != SV97 ) )
| ( SV82 != SV98 ) ) )
= $true )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1098,plain,
! [SV34: $i,SV91: $i] :
( ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1099,plain,
! [SV35: $i,SV69: $i] :
( ( ( m1_lattice4 @ ( sK22_SY207 @ SV69 @ SV35 ) @ SV35 @ SV69 )
= $true )
| ( ( v10_lattices @ SV69 )
= $false )
| ( ( l3_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v10_lattices @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV69 )
= $true )
| ( ( l3_lattices @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1086]) ).
thf(1100,plain,
! [SV39: $i,SV71: $i] :
( ( ( m3_vectsp_8 @ ( sK23_SY209 @ SV71 @ SV39 ) @ SV39 @ SV71 )
= $true )
| ( ( v10_lattices @ SV71 )
= $false )
| ( ( l3_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV39 )
= $true )
| ( ( v10_lattices @ SV39 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( l3_lattices @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1101,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV92 )
| ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1102,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1103,plain,
! [SV4: $i,SV90: $i] :
( ( ( v3_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( ~ ( v4_group_1 @ SV90 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1104,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m2_relset_1 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
= $false )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1105,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1106,plain,
! [SV8: $i] :
( ( ( ~ ( v9_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1107,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV95 )
| ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
| ~ ( m2_relset_1 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
= $false )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1108,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV96 )
| ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m2_relset_1 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
= $false )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1109,plain,
! [SV98: $i,SV97: $i,SV93: $i,SV82: $i,SV65: $i,SV29: $i] :
( ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV29 != SV93 )
| ( SV65 != SV97 ) )
| ( SV82 != SV98 ) ) )
= $true )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1110,plain,
! [SV34: $i,SV91: $i] :
( ( ( v3_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1111,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV92 )
| ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) ) )
= $false )
| ( ( ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1112,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1113,plain,
! [SV4: $i,SV90: $i] :
( ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( ~ ( l1_group_1 @ SV90 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1114,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) )
= $false )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1115,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ( m2_relset_1 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
= $false )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1116,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1117,plain,
! [SV8: $i] :
( ( ( v9_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1118,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV95 )
| ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) )
= $false )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1119,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ( m2_relset_1 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
= $false )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1120,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV96 )
| ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) )
= $false )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1121,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ( m2_relset_1 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
= $false )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1122,plain,
! [SV98: $i,SV82: $i,SV97: $i,SV65: $i,SV93: $i,SV29: $i] :
( ( ( ~ ~ ( ( SV29 != SV93 )
| ( SV65 != SV97 ) )
| ( SV82 != SV98 ) )
= $false )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1123,plain,
! [SV34: $i,SV91: $i] :
( ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1124,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( v1_funct_1 @ SV92 )
| ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1125,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1126,plain,
! [SV4: $i,SV90: $i] :
( ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY217 )
| ~ ( v1_funct_2 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SY217 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SY217 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SY217 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SY217 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1127,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) ) )
= $true )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1128,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( m2_relset_1 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) )
= $true )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1129,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1130,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV95 )
| ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) ) )
= $true )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1131,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( m2_relset_1 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) )
= $true )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1132,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV96 )
| ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) ) )
= $true )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1133,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( m2_relset_1 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) )
= $true )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1134,plain,
! [SV98: $i,SV82: $i,SV97: $i,SV65: $i,SV93: $i,SV29: $i] :
( ( ( ~ ~ ( ( SV29 != SV93 )
| ( SV65 != SV97 ) ) )
= $false )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1135,plain,
! [SV97: $i,SV93: $i,SV65: $i,SV29: $i,SV98: $i,SV82: $i] :
( ( ( SV82 != SV98 )
= $false )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1136,plain,
! [SV34: $i,SV91: $i] :
( ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SY218 )
| ~ ( v1_funct_2 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SY218 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SY218 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SY218 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1137,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( v1_funct_1 @ SV92 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1138,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1139,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1140,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ( v1_funct_1 @ SV94 )
| ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
= $false )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1141,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1142,plain,
! [SV8: $i] :
( ( ( ~ ( v8_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1143,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ( v1_funct_1 @ SV95 )
| ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
= $false )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1144,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ( v1_funct_1 @ SV96 )
| ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
= $false )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1145,plain,
! [SV98: $i,SV82: $i,SV97: $i,SV65: $i,SV93: $i,SV29: $i] :
( ( ( ~ ( ( SV29 != SV93 )
| ( SV65 != SV97 ) ) )
= $true )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1146,plain,
! [SV97: $i,SV93: $i,SV65: $i,SV29: $i,SV98: $i,SV82: $i] :
( ( ( SV82 = SV98 )
= $true )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1147,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1148,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1149,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1150,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1151,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ( v1_funct_1 @ SV94 ) )
= $false )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1152,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( ~ ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) ) )
= $false )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1153,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1154,plain,
! [SV8: $i] :
( ( ( v8_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1155,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ( v1_funct_1 @ SV95 ) )
= $false )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1156,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( ~ ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) ) )
= $false )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1157,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ( v1_funct_1 @ SV96 ) )
= $false )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1158,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( ~ ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) ) )
= $false )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1159,plain,
! [SV98: $i,SV82: $i,SV97: $i,SV65: $i,SV93: $i,SV29: $i] :
( ( ( ( SV29 != SV93 )
| ( SV65 != SV97 ) )
= $false )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1160,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1161,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( ~ ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1162,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV43 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1163,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) ) )
= $false )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1164,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( v1_funct_1 @ SV94 )
= $true )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1165,plain,
! [SV51: $i,SV5: $i,SV94: $i] :
( ( ( v1_funct_2 @ SV94 @ ( u1_struct_0 @ SV5 ) @ ( u1_struct_0 @ SV51 ) )
= $true )
| ( ( m4_vectsp_8 @ SV94 @ SV5 @ SV51 )
= $false )
| ( ( v10_lattices @ SV51 )
= $false )
| ( ( l3_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v10_lattices @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( l3_lattices @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1166,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1167,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( v1_funct_1 @ SV95 )
= $true )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1155]) ).
thf(1168,plain,
! [SV54: $i,SV9: $i,SV95: $i] :
( ( ( v1_funct_2 @ SV95 @ ( u1_struct_0 @ SV9 ) @ ( u1_struct_0 @ SV54 ) )
= $true )
| ( ( m1_lattice4 @ SV95 @ SV9 @ SV54 )
= $false )
| ( ( v10_lattices @ SV54 )
= $false )
| ( ( l3_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( v10_lattices @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( l3_lattices @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1156]) ).
thf(1169,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( v1_funct_1 @ SV96 )
= $true )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1170,plain,
! [SV63: $i,SV26: $i,SV96: $i] :
( ( ( v1_funct_2 @ SV96 @ ( u1_struct_0 @ SV26 ) @ ( u1_struct_0 @ SV63 ) )
= $true )
| ( ( m3_vectsp_8 @ SV96 @ SV26 @ SV63 )
= $false )
| ( ( v10_lattices @ SV63 )
= $false )
| ( ( l3_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v10_lattices @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l3_lattices @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1171,plain,
! [SV98: $i,SV97: $i,SV82: $i,SV65: $i,SV93: $i,SV29: $i] :
( ( ( SV29 != SV93 )
= $false )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1172,plain,
! [SV98: $i,SV93: $i,SV82: $i,SV29: $i,SV97: $i,SV65: $i] :
( ( ( SV65 != SV97 )
= $false )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1173,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) ) )
= $false )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1174,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) ) )
= $true )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1175,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( v3_struct_0 @ SV43 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1176,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
| ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1177,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1178,plain,
! [SV8: $i] :
( ( ( ~ ( v7_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1179,plain,
! [SV98: $i,SV97: $i,SV82: $i,SV65: $i,SV93: $i,SV29: $i] :
( ( ( SV29 = SV93 )
= $true )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1180,plain,
! [SV98: $i,SV93: $i,SV82: $i,SV29: $i,SV97: $i,SV65: $i] :
( ( ( SV65 = SV97 )
= $true )
| ( ( ( g3_lattices @ SV29 @ SV65 @ SV82 )
= ( g3_lattices @ SV93 @ SV97 @ SV98 ) )
= $false )
| ( ( v1_funct_2 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( m1_relset_1 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV65 )
= $false )
| ( ( v1_funct_2 @ SV65 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false )
| ( ( v1_funct_1 @ SV82 )
= $false )
| ( ( m1_relset_1 @ SV82 @ ( k2_zfmisc_1 @ SV29 @ SV29 ) @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1181,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
| ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1182,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
| ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1183,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1184,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1176]) ).
thf(1185,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1186,plain,
! [SV8: $i] :
( ( ( v7_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1187,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1188,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1189,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) ) )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1190,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( ~ ( v4_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1191,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) ) )
= $false )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1192,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1193,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) ) )
= $false )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1194,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
| ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1195,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
| ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1196,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1197,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
| ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1198,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1199,plain,
! [SV8: $i] :
( ( ( ~ ( v6_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1200,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
| ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1201,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( m1_lattice4 @ SV92 @ SV40 @ SV89 ) )
= $true )
| ( ( ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1202,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
= $true )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1195]) ).
thf(1203,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1204,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1205,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1206,plain,
! [SV8: $i] :
( ( ( v6_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1207,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1208,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1209,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) ) )
= $false )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1210,plain,
! [SV86: $i,SV43: $i,SV74: $i] :
( ( ( ~ ( v3_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1211,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) ) )
= $false )
| ( ( ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1212,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1213,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) ) )
= $false )
| ( ( ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1214,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
= $false )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1215,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
| ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
= $true )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1216,plain,
! [SV86: $i,SV43: $i,SV74: $i] :
( ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1217,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ( v1_funct_1 @ SV99 )
| ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1218,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1219,plain,
! [SV8: $i] :
( ( ( ~ ( v5_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1220,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ( v1_funct_1 @ SV100 )
| ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1221,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
= $false )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1222,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
= $false )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1223,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( ~ ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
= $true )
| ( ( ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
= $true )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1224,plain,
! [SV86: $i,SV43: $i,SV74: $i] :
( ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1225,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ( v1_funct_1 @ SV99 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1217]) ).
thf(1226,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1227,plain,
! [SV8: $i] :
( ( ( v5_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1228,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( ~ ( v1_funct_1 @ SV100 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1229,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1230,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1231,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( ~ ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 ) )
= $true )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1232,plain,
! [SV86: $i,SV43: $i,SV74: $i] :
( ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1233,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( v1_funct_1 @ SV99 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1234,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
| ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1235,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( v1_funct_1 @ SV100 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1236,plain,
! [SV89: $i,SV40: $i,SV92: $i] :
( ( ( m3_vectsp_8 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( m4_vectsp_8 @ SV92 @ SV40 @ SV89 )
= $false )
| ( ( m1_lattice4 @ SV92 @ SV40 @ SV89 )
= $true )
| ( ( v1_funct_2 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v1_funct_1 @ SV92 )
= $false )
| ( ( m2_relset_1 @ SV92 @ ( u1_struct_0 @ SV40 ) @ ( u1_struct_0 @ SV89 ) )
= $false )
| ( ( v10_lattices @ SV89 )
= $false )
| ( ( v3_struct_0 @ SV89 )
= $true )
| ( ( l3_lattices @ SV89 )
= $false )
| ( ( v10_lattices @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( l3_lattices @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1237,plain,
! [SV86: $i,SV43: $i,SV74: $i] :
( ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( ~ ( v1_funct_1 @ SV86 ) )
= $true )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1238,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( v1_funct_1 @ SV99 )
= $false )
| ( ( ~ ( v1_group_6 @ SV99 @ SV4 @ SV90 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1239,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1240,plain,
! [SV8: $i] :
( ( ( ~ ( v4_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1241,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) )
= $false )
| ( ( v1_funct_1 @ SV100 )
= $false )
| ( ( ~ ( v1_group_6 @ SV100 @ SV34 @ SV91 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1242,plain,
! [SV43: $i,SV74: $i,SV86: $i] :
( ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( ~ ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1243,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( v1_group_6 @ SV99 @ SV4 @ SV90 )
= $false )
| ( ( v1_funct_1 @ SV99 )
= $false )
| ( ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( ~ ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) ) )
= $true )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1244,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1245,plain,
! [SV8: $i] :
( ( ( v4_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1246,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( v1_group_6 @ SV100 @ SV34 @ SV91 )
= $false )
| ( ( v1_funct_1 @ SV100 )
= $false )
| ( ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) )
= $false )
| ( ( ~ ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) ) )
= $true )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1247,plain,
! [SV74: $i,SV43: $i,SV86: $i] :
( ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1248,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( v1_funct_1 @ SV99 )
= $false )
| ( ( v1_group_6 @ SV99 @ SV4 @ SV90 )
= $false )
| ( ( ~ ( v2_funct_1 @ SV99 )
| ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) ) )
= $true )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1249,plain,
! [SV8: $i] :
( ( ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
| ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1250,plain,
! [SV91: $i,SV34: $i,SV100: $i] :
( ( ( m2_relset_1 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) )
= $false )
| ( ( v1_funct_2 @ SV100 @ ( u1_struct_0 @ SV34 ) @ ( u1_struct_0 @ SV91 ) )
= $false )
| ( ( v1_funct_1 @ SV100 )
= $false )
| ( ( v1_group_6 @ SV100 @ SV34 @ SV91 )
= $false )
| ( ( m4_vectsp_8 @ ( k3_latsubgr @ SV34 @ SV91 @ SV100 ) @ ( k11_group_4 @ SV34 ) @ ( k11_group_4 @ SV91 ) )
= $true )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1251,plain,
! [SV74: $i,SV43: $i,SV86: $i] :
( ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1252,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( ~ ( v2_funct_1 @ SV99 ) )
= $true )
| ( ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) )
= $true )
| ( ( v1_group_6 @ SV99 @ SV4 @ SV90 )
= $false )
| ( ( v1_funct_1 @ SV99 )
= $false )
| ( ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1248]) ).
thf(1253,plain,
! [SV8: $i] :
( ( ( ~ ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1249]) ).
thf(1254,plain,
! [SV8: $i] :
( ( ( ~ ( v3_lattices @ ( k11_group_4 @ SV8 ) ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1249]) ).
thf(1255,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
| ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1256,plain,
! [SV90: $i,SV4: $i,SV99: $i] :
( ( ( v2_funct_1 @ SV99 )
= $false )
| ( ( m3_vectsp_8 @ ( k3_latsubgr @ SV4 @ SV90 @ SV99 ) @ ( k11_group_4 @ SV4 ) @ ( k11_group_4 @ SV90 ) )
= $true )
| ( ( v1_group_6 @ SV99 @ SV4 @ SV90 )
= $false )
| ( ( v1_funct_1 @ SV99 )
= $false )
| ( ( v1_funct_2 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( m2_relset_1 @ SV99 @ ( u1_struct_0 @ SV4 ) @ ( u1_struct_0 @ SV90 ) )
= $false )
| ( ( v4_group_1 @ SV90 )
= $false )
| ( ( v3_struct_0 @ SV90 )
= $true )
| ( ( v3_group_1 @ SV90 )
= $false )
| ( ( l1_group_1 @ SV90 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1257,plain,
! [SV8: $i] :
( ( ( ~ ( v3_struct_0 @ ( k11_group_4 @ SV8 ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1253]) ).
thf(1258,plain,
! [SV8: $i] :
( ( ( v3_lattices @ ( k11_group_4 @ SV8 ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1254]) ).
thf(1259,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1260,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1261,plain,
! [SV8: $i] :
( ( ( v3_struct_0 @ ( k11_group_4 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1262,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) ) )
= $true )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1259]) ).
thf(1263,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( m2_relset_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) )
= $true )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1264,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
| ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1265,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) ) )
= $false )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1266,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( ~ ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) ) )
= $false )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1267,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( v1_funct_1 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) )
= $true )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1268,plain,
! [SV86: $i,SV74: $i,SV43: $i] :
( ( ( v1_funct_2 @ ( k3_latsubgr @ SV43 @ SV74 @ SV86 ) @ ( u1_struct_0 @ ( k11_group_4 @ SV43 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ SV74 ) ) )
= $true )
| ( ( v1_funct_2 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v4_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v1_funct_1 @ SV86 )
= $false )
| ( ( m1_relset_1 @ SV86 @ ( u1_struct_0 @ SV43 ) @ ( u1_struct_0 @ SV74 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1269,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[149,1268,1267,1263,1261,1258,1256,1250,1245,1236,1230,1229,1227,1206,1186,1180,1179,1170,1169,1168,1167,1165,1164,1154,1146,1133,1131,1128,1117,1100,1099,1095,1090,1081,1079,1077,1076,1049,1034,1031,1028,983,980,977,953,952,928,923,899,861,854,853,841,840,839,834,833,828,804,794,783,782,781,779,769,768,767,761,754,729,715,690,689,688,687,685,684,683,680,669,655,639,638,628,627,623,608,607,601,599,592,573,572,566,562,560,555,544,536,525,524,523,516,505,494,464,456,449,435,424,418,417,412,404,402,400,393,391,327,326,269,208,207,206,181,165,160,159,155,151,150]) ).
thf(1270,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 10:49:24 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.81/3.26
% 16.81/3.26 No.of.Axioms: 65
% 16.81/3.26
% 16.81/3.26 Length.of.Defs: 0
% 16.81/3.26
% 16.81/3.26 Contains.Choice.Funs: false
% 16.81/3.26 ........................................
% 16.81/3.26
% 16.81/3.26 ********************************
% 16.81/3.26 * All subproblems solved! *
% 16.81/3.26 ********************************
% 16.81/3.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:69,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1269,loop_count:0,foatp_calls:1,translation:fof_full)
% 16.81/3.26
% 16.81/3.26 %**** Beginning of derivation protocol ****
% 16.81/3.26 % SZS output start CNFRefutation
% See solution above
% 16.81/3.28
% 16.81/3.28 %**** End of derivation protocol ****
% 16.81/3.28 %**** no. of clauses in derivation: 1270 ****
% 16.81/3.28 %**** clause counter: 1269 ****
% 16.81/3.28
% 16.81/3.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:69,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1269,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------