%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Thu Sep 24 08:48:05 AM UTC 2026
% Result : Theorem 1.37s 1.66s
% Output : Proof 1.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t44_lopclset,conjecture,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( r1_filter_1(A,k6_lopclset(B))
& l1_pre_topc(B)
& v2_pre_topc(B)
& ~ v3_struct_0(B) ) ),
file('theBenchmark.p',t44_lopclset) ).
fof(abstractness_v1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> ( v1_pre_topc(A)
=> A = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) ) ),
file('theBenchmark.p',abstractness_v1_pre_topc) ).
fof(abstractness_v3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
file('theBenchmark.p',abstractness_v3_lattices) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc10_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> v1_xcmplx_0(B) ) ),
file('theBenchmark.p',cc10_membered) ).
fof(cc11_membered,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc11_membered) ).
fof(cc12_membered,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_rat_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc12_membered) ).
fof(cc13_membered,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc13_membered) ).
fof(cc14_membered,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v4_ordinal2(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc14_membered) ).
fof(cc15_membered,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A) ) ),
file('theBenchmark.p',cc15_membered) ).
fof(cc16_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_membered(B) ) ),
file('theBenchmark.p',cc16_membered) ).
fof(cc17_membered,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc17_membered) ).
fof(cc18_membered,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v3_membered(B)
& v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc18_membered) ).
fof(cc19_membered,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc19_membered) ).
fof(cc1_finset_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_finset_1(A) ),
file('theBenchmark.p',cc1_finset_1) ).
fof(cc1_finsub_1,axiom,
! [A] :
( v4_finsub_1(A)
=> ( v3_finsub_1(A)
& v1_finsub_1(A) ) ),
file('theBenchmark.p',cc1_finsub_1) ).
fof(cc1_funct_2,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v1_partfun1(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('theBenchmark.p',cc1_funct_2) ).
fof(cc1_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_lattices) ).
fof(cc1_membered,axiom,
! [A] :
( v5_membered(A)
=> v4_membered(A) ),
file('theBenchmark.p',cc1_membered) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('theBenchmark.p',cc1_relset_1) ).
fof(cc20_membered,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc20_membered) ).
fof(cc2_finset_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_finset_1(B) ) ),
file('theBenchmark.p',cc2_finset_1) ).
fof(cc2_finsub_1,axiom,
! [A] :
( ( v3_finsub_1(A)
& v1_finsub_1(A) )
=> v4_finsub_1(A) ),
file('theBenchmark.p',cc2_finsub_1) ).
fof(cc2_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
=> ( v10_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc2_lattices) ).
fof(cc2_membered,axiom,
! [A] :
( v4_membered(A)
=> v3_membered(A) ),
file('theBenchmark.p',cc2_membered) ).
fof(cc3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) )
=> ( v15_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc3_lattices) ).
fof(cc3_membered,axiom,
! [A] :
( v3_membered(A)
=> v2_membered(A) ),
file('theBenchmark.p',cc3_membered) ).
fof(cc4_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v15_lattices(A)
& ~ v3_struct_0(A) )
=> ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc4_lattices) ).
fof(cc4_membered,axiom,
! [A] :
( v2_membered(A)
=> v1_membered(A) ),
file('theBenchmark.p',cc4_membered) ).
fof(cc5_funct_2,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',cc5_funct_2) ).
fof(cc5_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v17_lattices(A)
& ~ v3_struct_0(A) )
=> ( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc5_lattices) ).
fof(cc6_funct_2,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& ~ v1_xboole_0(C)
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',cc6_funct_2) ).
fof(cc6_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v16_lattices(A)
& v15_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) )
=> ( v17_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc6_lattices) ).
fof(cc7_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v11_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v12_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc7_lattices) ).
fof(d1_lopclset,axiom,
! [A] :
( ( l1_pre_topc(A)
& ~ v3_struct_0(A) )
=> k1_lopclset(A) = a_1_0_lopclset(A) ),
file('theBenchmark.p',d1_lopclset) ).
fof(d4_lopclset,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> k6_lopclset(A) = g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)) ),
file('theBenchmark.p',d4_lopclset) ).
fof(d9_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ),
file('theBenchmark.p',d9_lopclset) ).
fof(dt_g1_pre_topc,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ( l1_pre_topc(g1_pre_topc(A,B))
& v1_pre_topc(g1_pre_topc(A,B)) ) ),
file('theBenchmark.p',dt_g1_pre_topc) ).
fof(dt_g3_lattices,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ( l3_lattices(g3_lattices(A,B,C))
& v3_lattices(g3_lattices(A,B,C)) ) ),
file('theBenchmark.p',dt_g3_lattices) ).
fof(dt_k11_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( l1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A)) ) ),
file('theBenchmark.p',dt_k11_lopclset) ).
fof(dt_k12_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( l3_lattices(k12_lopclset(A))
& v10_lattices(k12_lopclset(A))
& ~ v3_struct_0(k12_lopclset(A)) ) ),
file('theBenchmark.p',dt_k12_lopclset) ).
fof(dt_k1_lopclset,axiom,
! [A] :
( ( l1_pre_topc(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('theBenchmark.p',dt_k1_lopclset) ).
fof(dt_k1_xboole_0,axiom,
$true,
file('theBenchmark.p',dt_k1_xboole_0) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k1_zfmisc_1) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k2_zfmisc_1) ).
fof(dt_k4_lopclset,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_1(k4_lopclset(A)) ) ),
file('theBenchmark.p',dt_k4_lopclset) ).
fof(dt_k5_lopclset,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_1(k5_lopclset(A)) ) ),
file('theBenchmark.p',dt_k5_lopclset) ).
fof(dt_k6_lopclset,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( l3_lattices(k6_lopclset(A))
& v10_lattices(k6_lopclset(A))
& ~ v3_struct_0(k6_lopclset(A)) ) ),
file('theBenchmark.p',dt_k6_lopclset) ).
fof(dt_l1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_lattices) ).
fof(dt_l1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_pre_topc) ).
fof(dt_l1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_l1_struct_0) ).
fof(dt_l2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l2_lattices) ).
fof(dt_l3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( l2_lattices(A)
& l1_lattices(A) ) ),
file('theBenchmark.p',dt_l3_lattices) ).
fof(dt_m1_relset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_relset_1) ).
fof(dt_m1_subset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_subset_1) ).
fof(dt_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('theBenchmark.p',dt_m2_relset_1) ).
fof(dt_u1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> ( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A)) ) ),
file('theBenchmark.p',dt_u1_lattices) ).
fof(dt_u1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('theBenchmark.p',dt_u1_pre_topc) ).
fof(dt_u1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_u1_struct_0) ).
fof(dt_u2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> ( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A)) ) ),
file('theBenchmark.p',dt_u2_lattices) ).
fof(existence_l1_lattices,axiom,
? [A] : l1_lattices(A),
file('theBenchmark.p',existence_l1_lattices) ).
fof(existence_l1_pre_topc,axiom,
? [A] : l1_pre_topc(A),
file('theBenchmark.p',existence_l1_pre_topc) ).
fof(existence_l1_struct_0,axiom,
? [A] : l1_struct_0(A),
file('theBenchmark.p',existence_l1_struct_0) ).
fof(existence_l2_lattices,axiom,
? [A] : l2_lattices(A),
file('theBenchmark.p',existence_l2_lattices) ).
fof(existence_l3_lattices,axiom,
? [A] : l3_lattices(A),
file('theBenchmark.p',existence_l3_lattices) ).
fof(existence_m1_relset_1,axiom,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
file('theBenchmark.p',existence_m1_relset_1) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('theBenchmark.p',existence_m1_subset_1) ).
fof(existence_m2_relset_1,axiom,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
file('theBenchmark.p',existence_m2_relset_1) ).
fof(fc14_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_zfmisc_1(A,B)) ),
file('theBenchmark.p',fc14_finset_1) ).
fof(fc1_finsub_1,axiom,
! [A] :
( v4_finsub_1(k1_zfmisc_1(A))
& v3_finsub_1(k1_zfmisc_1(A))
& v1_finsub_1(k1_zfmisc_1(A))
& ~ v1_xboole_0(k1_zfmisc_1(A)) ),
file('theBenchmark.p',fc1_finsub_1) ).
fof(fc1_lopclset,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(k1_lopclset(A)) ),
file('theBenchmark.p',fc1_lopclset) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('theBenchmark.p',fc1_struct_0) ).
fof(fc3_lattices,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B)
& ~ v1_xboole_0(A) )
=> ( v3_lattices(g3_lattices(A,B,C))
& ~ v3_struct_0(g3_lattices(A,B,C)) ) ),
file('theBenchmark.p',fc3_lattices) ).
fof(fc4_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v2_pre_topc(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A))
& ~ v3_struct_0(k11_lopclset(A)) ) ),
file('theBenchmark.p',fc4_lopclset) ).
fof(fc6_membered,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('theBenchmark.p',fc6_membered) ).
fof(fraenkel_a_1_0_lopclset,axiom,
! [A,B] :
( ( l1_pre_topc(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_1_0_lopclset(B))
<=> ? [C] :
( v4_pre_topc(C,B)
& v3_pre_topc(C,B)
& A = C
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) ) ),
file('theBenchmark.p',fraenkel_a_1_0_lopclset) ).
fof(free_g1_pre_topc,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [C,D] :
( g1_pre_topc(A,B) = g1_pre_topc(C,D)
=> ( B = D
& A = C ) ) ),
file('theBenchmark.p',free_g1_pre_topc) ).
fof(free_g3_lattices,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [D,E,F] :
( g3_lattices(A,B,C) = g3_lattices(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('theBenchmark.p',free_g3_lattices) ).
fof(rc10_lattices,axiom,
? [A] :
( v14_lattices(A)
& v13_lattices(A)
& v12_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc10_lattices) ).
fof(rc11_lattices,axiom,
? [A] :
( v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc11_lattices) ).
fof(rc12_lattices,axiom,
? [A] :
( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc12_lattices) ).
fof(rc13_lattices,axiom,
? [A] :
( v17_lattices(A)
& v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc13_lattices) ).
fof(rc1_finset_1,axiom,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc1_finset_1) ).
fof(rc1_funct_2,axiom,
! [A,B] :
? [C] :
( v1_funct_2(C,A,B)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
file('theBenchmark.p',rc1_funct_2) ).
fof(rc1_lopclset,axiom,
? [A] :
( ~ v3_realset2(A)
& v17_lattices(A)
& v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v12_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc1_lopclset) ).
fof(rc1_membered,axiom,
? [A] :
( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc1_membered) ).
fof(rc1_pre_topc,axiom,
? [A] :
( v1_pre_topc(A)
& l1_pre_topc(A) ),
file('theBenchmark.p',rc1_pre_topc) ).
fof(rc2_partfun1,axiom,
! [A,B] :
? [C] :
( v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
file('theBenchmark.p',rc2_partfun1) ).
fof(rc2_pre_topc,axiom,
? [A] :
( v2_pre_topc(A)
& v1_pre_topc(A)
& ~ v3_struct_0(A)
& l1_pre_topc(A) ),
file('theBenchmark.p',rc2_pre_topc) ).
fof(rc3_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc3_finset_1) ).
fof(rc3_lattices,axiom,
? [A] :
( v3_lattices(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc3_lattices) ).
fof(rc3_struct_0,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('theBenchmark.p',rc3_struct_0) ).
fof(rc4_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc4_finset_1) ).
fof(rc5_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc5_struct_0) ).
fof(rc6_lattices,axiom,
? [A] :
( v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc6_lattices) ).
fof(rc6_pre_topc,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ? [B] :
( v4_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc6_pre_topc) ).
fof(rc7_pre_topc,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v4_pre_topc(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc7_pre_topc) ).
fof(rc9_lattices,axiom,
? [A] :
( v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc9_lattices) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(reflexivity_r1_filter_1,axiom,
! [A,B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> r1_filter_1(A,A) ),
file('theBenchmark.p',reflexivity_r1_filter_1) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(symmetry_r1_filter_1,axiom,
! [A,B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( r1_filter_1(A,B)
=> r1_filter_1(B,A) ) ),
file('theBenchmark.p',symmetry_r1_filter_1) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('theBenchmark.p',t2_subset) ).
fof(t2_tarski,axiom,
! [A,B] :
( ! [C] :
( r2_hidden(C,A)
<=> r2_hidden(C,B) )
=> A = B ),
file('theBenchmark.p',t2_tarski) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('theBenchmark.p',t3_subset) ).
fof(t43_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> r1_filter_1(A,k12_lopclset(A)) ),
file('theBenchmark.p',t43_lopclset) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) )
=> m1_subset_1(A,C) ),
file('theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [A,B,C] :
~ ( v1_xboole_0(C)
& m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) ),
file('theBenchmark.p',t5_subset) ).
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('theBenchmark.p',t6_boole) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& r2_hidden(A,B) ),
file('theBenchmark.p',t7_boole) ).
fof(t8_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& A != B
& v1_xboole_0(A) ),
file('theBenchmark.p',t8_boole) ).
fof(f_1_1,negated_conjecture,
~ ! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( r1_filter_1(A,k6_lopclset(B))
& l1_pre_topc(B)
& v2_pre_topc(B)
& ~ v3_struct_0(B) ) ),
inference(negate,[status(cth)],[t44_lopclset]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ! [B] :
( ~ r1_filter_1(A,k6_lopclset(B))
| ~ l1_pre_topc(B)
| ~ v2_pre_topc(B)
| v3_struct_0(B) )
& l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_1] :
( ! [U_0] :
( ~ r1_filter_1(U_1,k6_lopclset(U_0))
| ~ l1_pre_topc(U_0)
| ~ v2_pre_topc(U_0)
| v3_struct_0(U_0) )
& l3_lattices(U_1)
& ~ v3_realset2(U_1)
& v17_lattices(U_1)
& v10_lattices(U_1)
& ~ v3_struct_0(U_1) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_0] :
( ~ r1_filter_1(sK1,k6_lopclset(U_0))
| ~ l1_pre_topc(U_0)
| ~ v2_pre_topc(U_0)
| v3_struct_0(U_0) )
& l3_lattices(sK1)
& ~ v3_realset2(sK1)
& v17_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_0] :
( ~ r1_filter_1(sK1,k6_lopclset(U_0))
| ~ l1_pre_topc(U_0)
| ~ v2_pre_topc(U_0)
| v3_struct_0(U_0) )
& l3_lattices(sK1)
& ~ v3_realset2(sK1)
& v17_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
~ v3_struct_0(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
v10_lattices(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_8,negated_conjecture,
v17_lattices(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_9,negated_conjecture,
~ v3_realset2(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_10,negated_conjecture,
l3_lattices(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_11,negated_conjecture,
( ~ r1_filter_1(sK1,k6_lopclset(U_0))
| ~ l1_pre_topc(U_0)
| ~ v2_pre_topc(U_0)
| v3_struct_0(U_0) ),
inference(clausify,[status(thm)],[f_1_5]) ).
fof(f_2_1,plain,
! [A] :
( A = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))
| ~ v1_pre_topc(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v1_pre_topc]) ).
fof(f_2_2,plain,
! [U_2] :
( U_2 = g1_pre_topc(u1_struct_0(U_2),u1_pre_topc(U_2))
| ~ v1_pre_topc(U_2)
| ~ l1_pre_topc(U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( U_2 = g1_pre_topc(u1_struct_0(U_2),u1_pre_topc(U_2))
| ~ v1_pre_topc(U_2)
| ~ l1_pre_topc(U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A] :
( A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ v3_lattices(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v3_lattices]) ).
fof(f_3_2,plain,
! [U_3] :
( U_3 = g3_lattices(u1_struct_0(U_3),u2_lattices(U_3),u1_lattices(U_3))
| ~ v3_lattices(U_3)
| ~ l3_lattices(U_3) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( U_3 = g3_lattices(u1_struct_0(U_3),u2_lattices(U_3),u1_lattices(U_3))
| ~ v3_lattices(U_3)
| ~ l3_lattices(U_3) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_4_2,plain,
! [U_5,U_4] :
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [A] :
( ! [B] :
( v1_xcmplx_0(B)
| ~ m1_subset_1(B,A) )
| ~ v1_membered(A) ),
inference(fof_nnf,[status(thm)],[cc10_membered]) ).
fof(f_5_2,plain,
! [U_7] :
( ! [U_6] :
( v1_xcmplx_0(U_6)
| ~ m1_subset_1(U_6,U_7) )
| ~ v1_membered(U_7) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( v1_xcmplx_0(U_6)
| ~ m1_subset_1(U_6,U_7)
| ~ v1_membered(U_7) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A] :
( ! [B] :
( ( v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc11_membered]) ).
fof(f_6_2,plain,
! [U_9] :
( ! [U_8] :
( ( v1_xreal_0(U_8)
& v1_xcmplx_0(U_8) )
| ~ m1_subset_1(U_8,U_9) )
| ~ v2_membered(U_9) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( v1_xcmplx_0(U_8)
| ~ m1_subset_1(U_8,U_9)
| ~ v2_membered(U_9) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( v1_xreal_0(U_8)
| ~ m1_subset_1(U_8,U_9)
| ~ v2_membered(U_9) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc12_membered]) ).
fof(f_7_2,plain,
! [U_11] :
( ! [U_10] :
( ( v1_rat_1(U_10)
& v1_xreal_0(U_10)
& v1_xcmplx_0(U_10) )
| ~ m1_subset_1(U_10,U_11) )
| ~ v3_membered(U_11) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( v1_xcmplx_0(U_10)
| ~ m1_subset_1(U_10,U_11)
| ~ v3_membered(U_11) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( v1_xreal_0(U_10)
| ~ m1_subset_1(U_10,U_11)
| ~ v3_membered(U_11) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_5,plain,
( v1_rat_1(U_10)
| ~ m1_subset_1(U_10,U_11)
| ~ v3_membered(U_11) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc13_membered]) ).
fof(f_8_2,plain,
! [U_13] :
( ! [U_12] :
( ( v1_rat_1(U_12)
& v1_int_1(U_12)
& v1_xreal_0(U_12)
& v1_xcmplx_0(U_12) )
| ~ m1_subset_1(U_12,U_13) )
| ~ v4_membered(U_13) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( v1_xcmplx_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v4_membered(U_13) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( v1_xreal_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v4_membered(U_13) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
( v1_int_1(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v4_membered(U_13) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_6,plain,
( v1_rat_1(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v4_membered(U_13) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v4_ordinal2(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc14_membered]) ).
fof(f_9_2,plain,
! [U_15] :
( ! [U_14] :
( ( v1_rat_1(U_14)
& v1_int_1(U_14)
& v1_xreal_0(U_14)
& v4_ordinal2(U_14)
& v1_xcmplx_0(U_14) )
| ~ m1_subset_1(U_14,U_15) )
| ~ v5_membered(U_15) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( v1_xcmplx_0(U_14)
| ~ m1_subset_1(U_14,U_15)
| ~ v5_membered(U_15) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( v4_ordinal2(U_14)
| ~ m1_subset_1(U_14,U_15)
| ~ v5_membered(U_15) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_5,plain,
( v1_xreal_0(U_14)
| ~ m1_subset_1(U_14,U_15)
| ~ v5_membered(U_15) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_6,plain,
( v1_int_1(U_14)
| ~ m1_subset_1(U_14,U_15)
| ~ v5_membered(U_15) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_7,plain,
( v1_rat_1(U_14)
| ~ m1_subset_1(U_14,U_15)
| ~ v5_membered(U_15) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [A] :
( ( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A) )
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc15_membered]) ).
fof(f_10_2,plain,
! [U_16] :
( ( v5_membered(U_16)
& v4_membered(U_16)
& v3_membered(U_16)
& v2_membered(U_16)
& v1_membered(U_16) )
| ~ v1_xboole_0(U_16) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( v1_membered(U_16)
| ~ v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( v2_membered(U_16)
| ~ v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_5,plain,
( v3_membered(U_16)
| ~ v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_6,plain,
( v4_membered(U_16)
| ~ v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_7,plain,
( v5_membered(U_16)
| ~ v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [A] :
( ! [B] :
( v1_membered(B)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v1_membered(A) ),
inference(fof_nnf,[status(thm)],[cc16_membered]) ).
fof(f_11_2,plain,
! [U_18] :
( ! [U_17] :
( v1_membered(U_17)
| ~ m1_subset_1(U_17,k1_zfmisc_1(U_18)) )
| ~ v1_membered(U_18) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( v1_membered(U_17)
| ~ m1_subset_1(U_17,k1_zfmisc_1(U_18))
| ~ v1_membered(U_18) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [A] :
( ! [B] :
( ( v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc17_membered]) ).
fof(f_12_2,plain,
! [U_20] :
( ! [U_19] :
( ( v2_membered(U_19)
& v1_membered(U_19) )
| ~ m1_subset_1(U_19,k1_zfmisc_1(U_20)) )
| ~ v2_membered(U_20) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( v1_membered(U_19)
| ~ m1_subset_1(U_19,k1_zfmisc_1(U_20))
| ~ v2_membered(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( v2_membered(U_19)
| ~ m1_subset_1(U_19,k1_zfmisc_1(U_20))
| ~ v2_membered(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [A] :
( ! [B] :
( ( v3_membered(B)
& v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc18_membered]) ).
fof(f_13_2,plain,
! [U_22] :
( ! [U_21] :
( ( v3_membered(U_21)
& v2_membered(U_21)
& v1_membered(U_21) )
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22)) )
| ~ v3_membered(U_22) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( v1_membered(U_21)
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22))
| ~ v3_membered(U_22) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( v2_membered(U_21)
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22))
| ~ v3_membered(U_22) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_5,plain,
( v3_membered(U_21)
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22))
| ~ v3_membered(U_22) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
! [A] :
( ! [B] :
( ( v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc19_membered]) ).
fof(f_14_2,plain,
! [U_24] :
( ! [U_23] :
( ( v4_membered(U_23)
& v3_membered(U_23)
& v2_membered(U_23)
& v1_membered(U_23) )
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24)) )
| ~ v4_membered(U_24) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( v1_membered(U_23)
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24))
| ~ v4_membered(U_24) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( v2_membered(U_23)
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24))
| ~ v4_membered(U_24) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_5,plain,
( v3_membered(U_23)
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24))
| ~ v4_membered(U_24) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_6,plain,
( v4_membered(U_23)
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24))
| ~ v4_membered(U_24) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [A] :
( v1_finset_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_finset_1]) ).
fof(f_15_2,plain,
! [U_25] :
( v1_finset_1(U_25)
| ~ v1_xboole_0(U_25) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( v1_finset_1(U_25)
| ~ v1_xboole_0(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [A] :
( ( v3_finsub_1(A)
& v1_finsub_1(A) )
| ~ v4_finsub_1(A) ),
inference(fof_nnf,[status(thm)],[cc1_finsub_1]) ).
fof(f_16_2,plain,
! [U_26] :
( ( v3_finsub_1(U_26)
& v1_finsub_1(U_26) )
| ~ v4_finsub_1(U_26) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( v1_finsub_1(U_26)
| ~ v4_finsub_1(U_26) ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_4,plain,
( v3_finsub_1(U_26)
| ~ v4_finsub_1(U_26) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [A,B,C] :
( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
| ~ v1_partfun1(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[cc1_funct_2]) ).
fof(f_17_2,plain,
! [U_29,U_28,U_27] :
( ( v1_funct_2(U_27,U_29,U_28)
& v1_funct_1(U_27) )
| ~ v1_partfun1(U_27,U_29,U_28)
| ~ v1_funct_1(U_27)
| ~ m1_relset_1(U_27,U_29,U_28) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( v1_funct_1(U_27)
| ~ v1_partfun1(U_27,U_29,U_28)
| ~ v1_funct_1(U_27)
| ~ m1_relset_1(U_27,U_29,U_28) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( v1_funct_2(U_27,U_29,U_28)
| ~ v1_partfun1(U_27,U_29,U_28)
| ~ v1_funct_1(U_27)
| ~ m1_relset_1(U_27,U_29,U_28) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [A] :
( ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc1_lattices]) ).
fof(f_18_2,plain,
! [U_30] :
( ( v9_lattices(U_30)
& v8_lattices(U_30)
& v7_lattices(U_30)
& v6_lattices(U_30)
& v5_lattices(U_30)
& v4_lattices(U_30)
& ~ v3_struct_0(U_30) )
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( ~ v3_struct_0(U_30)
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_4,plain,
( v4_lattices(U_30)
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_5,plain,
( v5_lattices(U_30)
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_6,plain,
( v6_lattices(U_30)
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_7,plain,
( v7_lattices(U_30)
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_8,plain,
( v8_lattices(U_30)
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_9,plain,
( v9_lattices(U_30)
| ~ v10_lattices(U_30)
| v3_struct_0(U_30)
| ~ l3_lattices(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [A] :
( v4_membered(A)
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc1_membered]) ).
fof(f_19_2,plain,
! [U_31] :
( v4_membered(U_31)
| ~ v5_membered(U_31) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( v4_membered(U_31)
| ~ v5_membered(U_31) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
! [A,B,C] :
( v1_relat_1(C)
| ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(fof_nnf,[status(thm)],[cc1_relset_1]) ).
fof(f_20_2,plain,
! [U_34,U_33,U_32] :
( v1_relat_1(U_32)
| ~ m1_subset_1(U_32,k1_zfmisc_1(k2_zfmisc_1(U_34,U_33))) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( v1_relat_1(U_32)
| ~ m1_subset_1(U_32,k1_zfmisc_1(k2_zfmisc_1(U_34,U_33))) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A] :
( ! [B] :
( ( v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc20_membered]) ).
fof(f_21_2,plain,
! [U_36] :
( ! [U_35] :
( ( v5_membered(U_35)
& v4_membered(U_35)
& v3_membered(U_35)
& v2_membered(U_35)
& v1_membered(U_35) )
| ~ m1_subset_1(U_35,k1_zfmisc_1(U_36)) )
| ~ v5_membered(U_36) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( v1_membered(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(U_36))
| ~ v5_membered(U_36) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_4,plain,
( v2_membered(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(U_36))
| ~ v5_membered(U_36) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_5,plain,
( v3_membered(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(U_36))
| ~ v5_membered(U_36) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_6,plain,
( v4_membered(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(U_36))
| ~ v5_membered(U_36) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_7,plain,
( v5_membered(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(U_36))
| ~ v5_membered(U_36) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
! [A] :
( ! [B] :
( v1_finset_1(B)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_finset_1]) ).
fof(f_22_2,plain,
! [U_38] :
( ! [U_37] :
( v1_finset_1(U_37)
| ~ m1_subset_1(U_37,k1_zfmisc_1(U_38)) )
| ~ v1_finset_1(U_38) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( v1_finset_1(U_37)
| ~ m1_subset_1(U_37,k1_zfmisc_1(U_38))
| ~ v1_finset_1(U_38) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A] :
( v4_finsub_1(A)
| ~ v3_finsub_1(A)
| ~ v1_finsub_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_finsub_1]) ).
fof(f_23_2,plain,
! [U_39] :
( v4_finsub_1(U_39)
| ~ v3_finsub_1(U_39)
| ~ v1_finsub_1(U_39) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( v4_finsub_1(U_39)
| ~ v3_finsub_1(U_39)
| ~ v1_finsub_1(U_39) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [A] :
( ( v10_lattices(A)
& ~ v3_struct_0(A) )
| ~ v9_lattices(A)
| ~ v8_lattices(A)
| ~ v7_lattices(A)
| ~ v6_lattices(A)
| ~ v5_lattices(A)
| ~ v4_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc2_lattices]) ).
fof(f_24_2,plain,
! [U_40] :
( ( v10_lattices(U_40)
& ~ v3_struct_0(U_40) )
| ~ v9_lattices(U_40)
| ~ v8_lattices(U_40)
| ~ v7_lattices(U_40)
| ~ v6_lattices(U_40)
| ~ v5_lattices(U_40)
| ~ v4_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( ~ v3_struct_0(U_40)
| ~ v9_lattices(U_40)
| ~ v8_lattices(U_40)
| ~ v7_lattices(U_40)
| ~ v6_lattices(U_40)
| ~ v5_lattices(U_40)
| ~ v4_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( v10_lattices(U_40)
| ~ v9_lattices(U_40)
| ~ v8_lattices(U_40)
| ~ v7_lattices(U_40)
| ~ v6_lattices(U_40)
| ~ v5_lattices(U_40)
| ~ v4_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [A] :
( v3_membered(A)
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc2_membered]) ).
fof(f_25_2,plain,
! [U_41] :
( v3_membered(U_41)
| ~ v4_membered(U_41) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( v3_membered(U_41)
| ~ v4_membered(U_41) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [A] :
( ( v15_lattices(A)
& ~ v3_struct_0(A) )
| ~ v14_lattices(A)
| ~ v13_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc3_lattices]) ).
fof(f_26_2,plain,
! [U_42] :
( ( v15_lattices(U_42)
& ~ v3_struct_0(U_42) )
| ~ v14_lattices(U_42)
| ~ v13_lattices(U_42)
| v3_struct_0(U_42)
| ~ l3_lattices(U_42) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( ~ v3_struct_0(U_42)
| ~ v14_lattices(U_42)
| ~ v13_lattices(U_42)
| v3_struct_0(U_42)
| ~ l3_lattices(U_42) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_4,plain,
( v15_lattices(U_42)
| ~ v14_lattices(U_42)
| ~ v13_lattices(U_42)
| v3_struct_0(U_42)
| ~ l3_lattices(U_42) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [A] :
( v2_membered(A)
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc3_membered]) ).
fof(f_27_2,plain,
! [U_43] :
( v2_membered(U_43)
| ~ v3_membered(U_43) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( v2_membered(U_43)
| ~ v3_membered(U_43) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
! [A] :
( ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) )
| ~ v15_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc4_lattices]) ).
fof(f_28_2,plain,
! [U_44] :
( ( v14_lattices(U_44)
& v13_lattices(U_44)
& ~ v3_struct_0(U_44) )
| ~ v15_lattices(U_44)
| v3_struct_0(U_44)
| ~ l3_lattices(U_44) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( ~ v3_struct_0(U_44)
| ~ v15_lattices(U_44)
| v3_struct_0(U_44)
| ~ l3_lattices(U_44) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( v13_lattices(U_44)
| ~ v15_lattices(U_44)
| v3_struct_0(U_44)
| ~ l3_lattices(U_44) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_5,plain,
( v14_lattices(U_44)
| ~ v15_lattices(U_44)
| v3_struct_0(U_44)
| ~ l3_lattices(U_44) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [A] :
( v1_membered(A)
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc4_membered]) ).
fof(f_29_2,plain,
! [U_45] :
( v1_membered(U_45)
| ~ v2_membered(U_45) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( v1_membered(U_45)
| ~ v2_membered(U_45) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [A,B] :
( ! [C] :
( ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& v1_funct_1(C) )
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) )
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[cc5_funct_2]) ).
fof(f_30_2,plain,
! [U_48,U_47] :
( ! [U_46] :
( ( v1_funct_2(U_46,U_48,U_47)
& v1_partfun1(U_46,U_48,U_47)
& v1_funct_1(U_46) )
| ~ v1_funct_2(U_46,U_48,U_47)
| ~ v1_funct_1(U_46)
| ~ m1_relset_1(U_46,U_48,U_47) )
| v1_xboole_0(U_47) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( v1_funct_1(U_46)
| ~ v1_funct_2(U_46,U_48,U_47)
| ~ v1_funct_1(U_46)
| ~ m1_relset_1(U_46,U_48,U_47)
| v1_xboole_0(U_47) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_4,plain,
( v1_partfun1(U_46,U_48,U_47)
| ~ v1_funct_2(U_46,U_48,U_47)
| ~ v1_funct_1(U_46)
| ~ m1_relset_1(U_46,U_48,U_47)
| v1_xboole_0(U_47) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_5,plain,
( v1_funct_2(U_46,U_48,U_47)
| ~ v1_funct_2(U_46,U_48,U_47)
| ~ v1_funct_1(U_46)
| ~ m1_relset_1(U_46,U_48,U_47)
| v1_xboole_0(U_47) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A] :
( ( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) )
| ~ v17_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc5_lattices]) ).
fof(f_31_2,plain,
! [U_49] :
( ( v16_lattices(U_49)
& v15_lattices(U_49)
& v14_lattices(U_49)
& v13_lattices(U_49)
& v11_lattices(U_49)
& ~ v3_struct_0(U_49) )
| ~ v17_lattices(U_49)
| v3_struct_0(U_49)
| ~ l3_lattices(U_49) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( ~ v3_struct_0(U_49)
| ~ v17_lattices(U_49)
| v3_struct_0(U_49)
| ~ l3_lattices(U_49) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( v11_lattices(U_49)
| ~ v17_lattices(U_49)
| v3_struct_0(U_49)
| ~ l3_lattices(U_49) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_5,plain,
( v13_lattices(U_49)
| ~ v17_lattices(U_49)
| v3_struct_0(U_49)
| ~ l3_lattices(U_49) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_6,plain,
( v14_lattices(U_49)
| ~ v17_lattices(U_49)
| v3_struct_0(U_49)
| ~ l3_lattices(U_49) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_7,plain,
( v15_lattices(U_49)
| ~ v17_lattices(U_49)
| v3_struct_0(U_49)
| ~ l3_lattices(U_49) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_8,plain,
( v16_lattices(U_49)
| ~ v17_lattices(U_49)
| v3_struct_0(U_49)
| ~ l3_lattices(U_49) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A,B] :
( ! [C] :
( ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& ~ v1_xboole_0(C)
& v1_funct_1(C) )
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) )
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc6_funct_2]) ).
fof(f_32_2,plain,
! [U_52,U_51] :
( ! [U_50] :
( ( v1_funct_2(U_50,U_52,U_51)
& v1_partfun1(U_50,U_52,U_51)
& ~ v1_xboole_0(U_50)
& v1_funct_1(U_50) )
| ~ v1_funct_2(U_50,U_52,U_51)
| ~ v1_funct_1(U_50)
| ~ m1_relset_1(U_50,U_52,U_51) )
| v1_xboole_0(U_51)
| v1_xboole_0(U_52) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( v1_funct_1(U_50)
| ~ v1_funct_2(U_50,U_52,U_51)
| ~ v1_funct_1(U_50)
| ~ m1_relset_1(U_50,U_52,U_51)
| v1_xboole_0(U_51)
| v1_xboole_0(U_52) ),
inference(clausify,[status(thm)],[f_32_2]) ).
cnf(f_32_4,plain,
( ~ v1_xboole_0(U_50)
| ~ v1_funct_2(U_50,U_52,U_51)
| ~ v1_funct_1(U_50)
| ~ m1_relset_1(U_50,U_52,U_51)
| v1_xboole_0(U_51)
| v1_xboole_0(U_52) ),
inference(clausify,[status(thm)],[f_32_2]) ).
cnf(f_32_5,plain,
( v1_partfun1(U_50,U_52,U_51)
| ~ v1_funct_2(U_50,U_52,U_51)
| ~ v1_funct_1(U_50)
| ~ m1_relset_1(U_50,U_52,U_51)
| v1_xboole_0(U_51)
| v1_xboole_0(U_52) ),
inference(clausify,[status(thm)],[f_32_2]) ).
cnf(f_32_6,plain,
( v1_funct_2(U_50,U_52,U_51)
| ~ v1_funct_2(U_50,U_52,U_51)
| ~ v1_funct_1(U_50)
| ~ m1_relset_1(U_50,U_52,U_51)
| v1_xboole_0(U_51)
| v1_xboole_0(U_52) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [A] :
( ( v17_lattices(A)
& ~ v3_struct_0(A) )
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v11_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc6_lattices]) ).
fof(f_33_2,plain,
! [U_53] :
( ( v17_lattices(U_53)
& ~ v3_struct_0(U_53) )
| ~ v16_lattices(U_53)
| ~ v15_lattices(U_53)
| ~ v11_lattices(U_53)
| v3_struct_0(U_53)
| ~ l3_lattices(U_53) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( ~ v3_struct_0(U_53)
| ~ v16_lattices(U_53)
| ~ v15_lattices(U_53)
| ~ v11_lattices(U_53)
| v3_struct_0(U_53)
| ~ l3_lattices(U_53) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( v17_lattices(U_53)
| ~ v16_lattices(U_53)
| ~ v15_lattices(U_53)
| ~ v11_lattices(U_53)
| v3_struct_0(U_53)
| ~ l3_lattices(U_53) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A] :
( ( v12_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
| ~ v11_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc7_lattices]) ).
fof(f_34_2,plain,
! [U_54] :
( ( v12_lattices(U_54)
& v10_lattices(U_54)
& v9_lattices(U_54)
& v8_lattices(U_54)
& v7_lattices(U_54)
& v6_lattices(U_54)
& v5_lattices(U_54)
& v4_lattices(U_54)
& ~ v3_struct_0(U_54) )
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( ~ v3_struct_0(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_4,plain,
( v4_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_5,plain,
( v5_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_6,plain,
( v6_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_7,plain,
( v7_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_8,plain,
( v8_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_9,plain,
( v9_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_10,plain,
( v10_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(f_34_11,plain,
( v12_lattices(U_54)
| ~ v11_lattices(U_54)
| ~ v10_lattices(U_54)
| v3_struct_0(U_54)
| ~ l3_lattices(U_54) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [A] :
( k1_lopclset(A) = a_1_0_lopclset(A)
| ~ l1_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_lopclset]) ).
fof(f_35_2,plain,
! [U_55] :
( k1_lopclset(U_55) = a_1_0_lopclset(U_55)
| ~ l1_pre_topc(U_55)
| v3_struct_0(U_55) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( k1_lopclset(U_55) = a_1_0_lopclset(U_55)
| ~ l1_pre_topc(U_55)
| v3_struct_0(U_55) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [A] :
( k6_lopclset(A) = g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d4_lopclset]) ).
fof(f_36_2,plain,
! [U_56] :
( k6_lopclset(U_56) = g3_lattices(k1_lopclset(U_56),k4_lopclset(U_56),k5_lopclset(U_56))
| ~ l1_pre_topc(U_56)
| ~ v2_pre_topc(U_56)
| v3_struct_0(U_56) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( k6_lopclset(U_56) = g3_lattices(k1_lopclset(U_56),k4_lopclset(U_56),k5_lopclset(U_56))
| ~ l1_pre_topc(U_56)
| ~ v2_pre_topc(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [A] :
( k12_lopclset(A) = k6_lopclset(k11_lopclset(A))
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d9_lopclset]) ).
fof(f_37_2,plain,
! [U_57] :
( k12_lopclset(U_57) = k6_lopclset(k11_lopclset(U_57))
| ~ l3_lattices(U_57)
| v3_realset2(U_57)
| ~ v17_lattices(U_57)
| ~ v10_lattices(U_57)
| v3_struct_0(U_57) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( k12_lopclset(U_57) = k6_lopclset(k11_lopclset(U_57))
| ~ l3_lattices(U_57)
| v3_realset2(U_57)
| ~ v17_lattices(U_57)
| ~ v10_lattices(U_57)
| v3_struct_0(U_57) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [A,B] :
( ( l1_pre_topc(g1_pre_topc(A,B))
& v1_pre_topc(g1_pre_topc(A,B)) )
| ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
inference(fof_nnf,[status(thm)],[dt_g1_pre_topc]) ).
fof(f_38_2,plain,
! [U_59,U_58] :
( ( l1_pre_topc(g1_pre_topc(U_59,U_58))
& v1_pre_topc(g1_pre_topc(U_59,U_58)) )
| ~ m1_subset_1(U_58,k1_zfmisc_1(k1_zfmisc_1(U_59))) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( v1_pre_topc(g1_pre_topc(U_59,U_58))
| ~ m1_subset_1(U_58,k1_zfmisc_1(k1_zfmisc_1(U_59))) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_4,plain,
( l1_pre_topc(g1_pre_topc(U_59,U_58))
| ~ m1_subset_1(U_58,k1_zfmisc_1(k1_zfmisc_1(U_59))) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
! [A,B,C] :
( ( l3_lattices(g3_lattices(A,B,C))
& v3_lattices(g3_lattices(A,B,C)) )
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_g3_lattices]) ).
fof(f_39_2,plain,
! [U_62,U_61,U_60] :
( ( l3_lattices(g3_lattices(U_62,U_61,U_60))
& v3_lattices(g3_lattices(U_62,U_61,U_60)) )
| ~ m1_relset_1(U_60,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_2(U_60,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_61,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_2(U_61,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_1(U_61) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
cnf(f_39_3,plain,
( v3_lattices(g3_lattices(U_62,U_61,U_60))
| ~ m1_relset_1(U_60,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_2(U_60,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_61,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_2(U_61,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_1(U_61) ),
inference(clausify,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( l3_lattices(g3_lattices(U_62,U_61,U_60))
| ~ m1_relset_1(U_60,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_2(U_60,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_61,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_2(U_61,k2_zfmisc_1(U_62,U_62),U_62)
| ~ v1_funct_1(U_61) ),
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
! [A] :
( ( l1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A)) )
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k11_lopclset]) ).
fof(f_40_2,plain,
! [U_63] :
( ( l1_pre_topc(k11_lopclset(U_63))
& v2_pre_topc(k11_lopclset(U_63))
& v1_pre_topc(k11_lopclset(U_63)) )
| ~ l3_lattices(U_63)
| v3_realset2(U_63)
| ~ v17_lattices(U_63)
| ~ v10_lattices(U_63)
| v3_struct_0(U_63) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
( v1_pre_topc(k11_lopclset(U_63))
| ~ l3_lattices(U_63)
| v3_realset2(U_63)
| ~ v17_lattices(U_63)
| ~ v10_lattices(U_63)
| v3_struct_0(U_63) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_4,plain,
( v2_pre_topc(k11_lopclset(U_63))
| ~ l3_lattices(U_63)
| v3_realset2(U_63)
| ~ v17_lattices(U_63)
| ~ v10_lattices(U_63)
| v3_struct_0(U_63) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_5,plain,
( l1_pre_topc(k11_lopclset(U_63))
| ~ l3_lattices(U_63)
| v3_realset2(U_63)
| ~ v17_lattices(U_63)
| ~ v10_lattices(U_63)
| v3_struct_0(U_63) ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
! [A] :
( ( l3_lattices(k12_lopclset(A))
& v10_lattices(k12_lopclset(A))
& ~ v3_struct_0(k12_lopclset(A)) )
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k12_lopclset]) ).
fof(f_41_2,plain,
! [U_64] :
( ( l3_lattices(k12_lopclset(U_64))
& v10_lattices(k12_lopclset(U_64))
& ~ v3_struct_0(k12_lopclset(U_64)) )
| ~ l3_lattices(U_64)
| v3_realset2(U_64)
| ~ v17_lattices(U_64)
| ~ v10_lattices(U_64)
| v3_struct_0(U_64) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( ~ v3_struct_0(k12_lopclset(U_64))
| ~ l3_lattices(U_64)
| v3_realset2(U_64)
| ~ v17_lattices(U_64)
| ~ v10_lattices(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_4,plain,
( v10_lattices(k12_lopclset(U_64))
| ~ l3_lattices(U_64)
| v3_realset2(U_64)
| ~ v17_lattices(U_64)
| ~ v10_lattices(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_5,plain,
( l3_lattices(k12_lopclset(U_64))
| ~ l3_lattices(U_64)
| v3_realset2(U_64)
| ~ v17_lattices(U_64)
| ~ v10_lattices(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [A] :
( m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
| ~ l1_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_lopclset]) ).
fof(f_42_2,plain,
! [U_65] :
( m1_subset_1(k1_lopclset(U_65),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(U_65))))
| ~ l1_pre_topc(U_65)
| v3_struct_0(U_65) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( m1_subset_1(k1_lopclset(U_65),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(U_65))))
| ~ l1_pre_topc(U_65)
| v3_struct_0(U_65) ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
cnf(f_43_2,plain,
$true,
inference(clausify,[status(thm)],[f_43_1]) ).
fof(f_44_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
cnf(f_44_2,plain,
$true,
inference(clausify,[status(thm)],[f_44_1]) ).
fof(f_45_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
cnf(f_45_2,plain,
$true,
inference(clausify,[status(thm)],[f_45_1]) ).
fof(f_46_1,plain,
! [A] :
( ( m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_1(k4_lopclset(A)) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_lopclset]) ).
fof(f_46_2,plain,
! [U_66] :
( ( m2_relset_1(k4_lopclset(U_66),k2_zfmisc_1(k1_lopclset(U_66),k1_lopclset(U_66)),k1_lopclset(U_66))
& v1_funct_2(k4_lopclset(U_66),k2_zfmisc_1(k1_lopclset(U_66),k1_lopclset(U_66)),k1_lopclset(U_66))
& v1_funct_1(k4_lopclset(U_66)) )
| ~ l1_pre_topc(U_66)
| ~ v2_pre_topc(U_66)
| v3_struct_0(U_66) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
( v1_funct_1(k4_lopclset(U_66))
| ~ l1_pre_topc(U_66)
| ~ v2_pre_topc(U_66)
| v3_struct_0(U_66) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( v1_funct_2(k4_lopclset(U_66),k2_zfmisc_1(k1_lopclset(U_66),k1_lopclset(U_66)),k1_lopclset(U_66))
| ~ l1_pre_topc(U_66)
| ~ v2_pre_topc(U_66)
| v3_struct_0(U_66) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_5,plain,
( m2_relset_1(k4_lopclset(U_66),k2_zfmisc_1(k1_lopclset(U_66),k1_lopclset(U_66)),k1_lopclset(U_66))
| ~ l1_pre_topc(U_66)
| ~ v2_pre_topc(U_66)
| v3_struct_0(U_66) ),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
! [A] :
( ( m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& v1_funct_1(k5_lopclset(A)) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_lopclset]) ).
fof(f_47_2,plain,
! [U_67] :
( ( m2_relset_1(k5_lopclset(U_67),k2_zfmisc_1(k1_lopclset(U_67),k1_lopclset(U_67)),k1_lopclset(U_67))
& v1_funct_2(k5_lopclset(U_67),k2_zfmisc_1(k1_lopclset(U_67),k1_lopclset(U_67)),k1_lopclset(U_67))
& v1_funct_1(k5_lopclset(U_67)) )
| ~ l1_pre_topc(U_67)
| ~ v2_pre_topc(U_67)
| v3_struct_0(U_67) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
cnf(f_47_3,plain,
( v1_funct_1(k5_lopclset(U_67))
| ~ l1_pre_topc(U_67)
| ~ v2_pre_topc(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_47_2]) ).
cnf(f_47_4,plain,
( v1_funct_2(k5_lopclset(U_67),k2_zfmisc_1(k1_lopclset(U_67),k1_lopclset(U_67)),k1_lopclset(U_67))
| ~ l1_pre_topc(U_67)
| ~ v2_pre_topc(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_47_2]) ).
cnf(f_47_5,plain,
( m2_relset_1(k5_lopclset(U_67),k2_zfmisc_1(k1_lopclset(U_67),k1_lopclset(U_67)),k1_lopclset(U_67))
| ~ l1_pre_topc(U_67)
| ~ v2_pre_topc(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,plain,
! [A] :
( ( l3_lattices(k6_lopclset(A))
& v10_lattices(k6_lopclset(A))
& ~ v3_struct_0(k6_lopclset(A)) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_lopclset]) ).
fof(f_48_2,plain,
! [U_68] :
( ( l3_lattices(k6_lopclset(U_68))
& v10_lattices(k6_lopclset(U_68))
& ~ v3_struct_0(k6_lopclset(U_68)) )
| ~ l1_pre_topc(U_68)
| ~ v2_pre_topc(U_68)
| v3_struct_0(U_68) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_3,plain,
( ~ v3_struct_0(k6_lopclset(U_68))
| ~ l1_pre_topc(U_68)
| ~ v2_pre_topc(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_48_2]) ).
cnf(f_48_4,plain,
( v10_lattices(k6_lopclset(U_68))
| ~ l1_pre_topc(U_68)
| ~ v2_pre_topc(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_48_2]) ).
cnf(f_48_5,plain,
( l3_lattices(k6_lopclset(U_68))
| ~ l1_pre_topc(U_68)
| ~ v2_pre_topc(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_lattices]) ).
fof(f_49_2,plain,
! [U_69] :
( l1_struct_0(U_69)
| ~ l1_lattices(U_69) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
( l1_struct_0(U_69)
| ~ l1_lattices(U_69) ),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_pre_topc]) ).
fof(f_50_2,plain,
! [U_70] :
( l1_struct_0(U_70)
| ~ l1_pre_topc(U_70) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
cnf(f_50_3,plain,
( l1_struct_0(U_70)
| ~ l1_pre_topc(U_70) ),
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
cnf(f_51_2,plain,
$true,
inference(clausify,[status(thm)],[f_51_1]) ).
fof(f_52_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l2_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_lattices]) ).
fof(f_52_2,plain,
! [U_71] :
( l1_struct_0(U_71)
| ~ l2_lattices(U_71) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
cnf(f_52_3,plain,
( l1_struct_0(U_71)
| ~ l2_lattices(U_71) ),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
! [A] :
( ( l2_lattices(A)
& l1_lattices(A) )
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l3_lattices]) ).
fof(f_53_2,plain,
! [U_72] :
( ( l2_lattices(U_72)
& l1_lattices(U_72) )
| ~ l3_lattices(U_72) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
( l1_lattices(U_72)
| ~ l3_lattices(U_72) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_4,plain,
( l2_lattices(U_72)
| ~ l3_lattices(U_72) ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
cnf(f_54_2,plain,
$true,
inference(clausify,[status(thm)],[f_54_1]) ).
fof(f_55_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_55_2,plain,
$true,
inference(clausify,[status(thm)],[f_55_1]) ).
fof(f_56_1,plain,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_m2_relset_1]) ).
fof(f_56_2,plain,
! [U_75,U_74,U_73] :
( m1_subset_1(U_73,k1_zfmisc_1(k2_zfmisc_1(U_75,U_74)))
| ~ m2_relset_1(U_73,U_75,U_74) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
cnf(f_56_3,plain,
( m1_subset_1(U_73,k1_zfmisc_1(k2_zfmisc_1(U_75,U_74)))
| ~ m2_relset_1(U_73,U_75,U_74) ),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
! [A] :
( ( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A)) )
| ~ l1_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_lattices]) ).
fof(f_57_2,plain,
! [U_76] :
( ( m2_relset_1(u1_lattices(U_76),k2_zfmisc_1(u1_struct_0(U_76),u1_struct_0(U_76)),u1_struct_0(U_76))
& v1_funct_2(u1_lattices(U_76),k2_zfmisc_1(u1_struct_0(U_76),u1_struct_0(U_76)),u1_struct_0(U_76))
& v1_funct_1(u1_lattices(U_76)) )
| ~ l1_lattices(U_76) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
cnf(f_57_3,plain,
( v1_funct_1(u1_lattices(U_76))
| ~ l1_lattices(U_76) ),
inference(clausify,[status(thm)],[f_57_2]) ).
cnf(f_57_4,plain,
( v1_funct_2(u1_lattices(U_76),k2_zfmisc_1(u1_struct_0(U_76),u1_struct_0(U_76)),u1_struct_0(U_76))
| ~ l1_lattices(U_76) ),
inference(clausify,[status(thm)],[f_57_2]) ).
cnf(f_57_5,plain,
( m2_relset_1(u1_lattices(U_76),k2_zfmisc_1(u1_struct_0(U_76),u1_struct_0(U_76)),u1_struct_0(U_76))
| ~ l1_lattices(U_76) ),
inference(clausify,[status(thm)],[f_57_2]) ).
fof(f_58_1,plain,
! [A] :
( m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_pre_topc]) ).
fof(f_58_2,plain,
! [U_77] :
( m1_subset_1(u1_pre_topc(U_77),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(U_77))))
| ~ l1_pre_topc(U_77) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
( m1_subset_1(u1_pre_topc(U_77),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(U_77))))
| ~ l1_pre_topc(U_77) ),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
cnf(f_59_2,plain,
$true,
inference(clausify,[status(thm)],[f_59_1]) ).
fof(f_60_1,plain,
! [A] :
( ( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A)) )
| ~ l2_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_u2_lattices]) ).
fof(f_60_2,plain,
! [U_78] :
( ( m2_relset_1(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
& v1_funct_2(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
& v1_funct_1(u2_lattices(U_78)) )
| ~ l2_lattices(U_78) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
cnf(f_60_3,plain,
( v1_funct_1(u2_lattices(U_78))
| ~ l2_lattices(U_78) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_4,plain,
( v1_funct_2(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
| ~ l2_lattices(U_78) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_5,plain,
( m2_relset_1(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
| ~ l2_lattices(U_78) ),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
? [A] : l1_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l1_lattices]) ).
fof(f_61_2,plain,
? [U_79] : l1_lattices(U_79),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
l1_lattices(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_79,sK2)],[f_61_2]) ).
cnf(f_61_4,plain,
l1_lattices(sK2),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_1,plain,
? [A] : l1_pre_topc(A),
inference(fof_nnf,[status(thm)],[existence_l1_pre_topc]) ).
fof(f_62_2,plain,
? [U_80] : l1_pre_topc(U_80),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
l1_pre_topc(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_80,sK3)],[f_62_2]) ).
cnf(f_62_4,plain,
l1_pre_topc(sK3),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_63_2,plain,
? [U_81] : l1_struct_0(U_81),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
l1_struct_0(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_81,sK4)],[f_63_2]) ).
cnf(f_63_4,plain,
l1_struct_0(sK4),
inference(clausify,[status(thm)],[f_63_3]) ).
fof(f_64_1,plain,
? [A] : l2_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l2_lattices]) ).
fof(f_64_2,plain,
? [U_82] : l2_lattices(U_82),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
l2_lattices(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_82,sK5)],[f_64_2]) ).
cnf(f_64_4,plain,
l2_lattices(sK5),
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_1,plain,
? [A] : l3_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l3_lattices]) ).
fof(f_65_2,plain,
? [U_83] : l3_lattices(U_83),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
l3_lattices(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_83,sK6)],[f_65_2]) ).
cnf(f_65_4,plain,
l3_lattices(sK6),
inference(clausify,[status(thm)],[f_65_3]) ).
fof(f_66_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_66_2,plain,
! [U_86,U_85] :
? [U_84] : m1_relset_1(U_84,U_86,U_85),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
! [U_86,U_85] : m1_relset_1(sK7(U_86,U_85),U_86,U_85),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_84,sK7(U_86,U_85))],[f_66_2]) ).
cnf(f_66_4,plain,
m1_relset_1(sK7(U_86,U_85),U_86,U_85),
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_67_2,plain,
! [U_88] :
? [U_87] : m1_subset_1(U_87,U_88),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
! [U_88] : m1_subset_1(sK8(U_88),U_88),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_87,sK8(U_88))],[f_67_2]) ).
cnf(f_67_4,plain,
m1_subset_1(sK8(U_88),U_88),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_68_2,plain,
! [U_91,U_90] :
? [U_89] : m2_relset_1(U_89,U_91,U_90),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
! [U_91,U_90] : m2_relset_1(sK9(U_91,U_90),U_91,U_90),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_89,sK9(U_91,U_90))],[f_68_2]) ).
cnf(f_68_4,plain,
m2_relset_1(sK9(U_91,U_90),U_91,U_90),
inference(clausify,[status(thm)],[f_68_3]) ).
fof(f_69_1,plain,
! [A,B] :
( v1_finset_1(k2_zfmisc_1(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc14_finset_1]) ).
fof(f_69_2,plain,
! [U_93,U_92] :
( v1_finset_1(k2_zfmisc_1(U_93,U_92))
| ~ v1_finset_1(U_92)
| ~ v1_finset_1(U_93) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
cnf(f_69_3,plain,
( v1_finset_1(k2_zfmisc_1(U_93,U_92))
| ~ v1_finset_1(U_92)
| ~ v1_finset_1(U_93) ),
inference(clausify,[status(thm)],[f_69_2]) ).
fof(f_70_1,plain,
! [A] :
( v4_finsub_1(k1_zfmisc_1(A))
& v3_finsub_1(k1_zfmisc_1(A))
& v1_finsub_1(k1_zfmisc_1(A))
& ~ v1_xboole_0(k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[fc1_finsub_1]) ).
fof(f_70_2,plain,
! [U_94] :
( v4_finsub_1(k1_zfmisc_1(U_94))
& v3_finsub_1(k1_zfmisc_1(U_94))
& v1_finsub_1(k1_zfmisc_1(U_94))
& ~ v1_xboole_0(k1_zfmisc_1(U_94)) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
( ! [U_98] : v4_finsub_1(k1_zfmisc_1(U_98))
& ! [U_97] : v3_finsub_1(k1_zfmisc_1(U_97))
& ! [U_96] : v1_finsub_1(k1_zfmisc_1(U_96))
& ! [U_95] : ~ v1_xboole_0(k1_zfmisc_1(U_95)) ),
inference(miniscope,[status(thm)],[f_70_2]) ).
cnf(f_70_4,plain,
~ v1_xboole_0(k1_zfmisc_1(U_95)),
inference(clausify,[status(thm)],[f_70_3]) ).
cnf(f_70_5,plain,
v1_finsub_1(k1_zfmisc_1(U_96)),
inference(clausify,[status(thm)],[f_70_3]) ).
cnf(f_70_6,plain,
v3_finsub_1(k1_zfmisc_1(U_97)),
inference(clausify,[status(thm)],[f_70_3]) ).
cnf(f_70_7,plain,
v4_finsub_1(k1_zfmisc_1(U_98)),
inference(clausify,[status(thm)],[f_70_3]) ).
fof(f_71_1,plain,
! [A] :
( ~ v1_xboole_0(k1_lopclset(A))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_lopclset]) ).
fof(f_71_2,plain,
! [U_99] :
( ~ v1_xboole_0(k1_lopclset(U_99))
| ~ l1_pre_topc(U_99)
| ~ v2_pre_topc(U_99)
| v3_struct_0(U_99) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
cnf(f_71_3,plain,
( ~ v1_xboole_0(k1_lopclset(U_99))
| ~ l1_pre_topc(U_99)
| ~ v2_pre_topc(U_99)
| v3_struct_0(U_99) ),
inference(clausify,[status(thm)],[f_71_2]) ).
fof(f_72_1,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_struct_0]) ).
fof(f_72_2,plain,
! [U_100] :
( ~ v1_xboole_0(u1_struct_0(U_100))
| ~ l1_struct_0(U_100)
| v3_struct_0(U_100) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
cnf(f_72_3,plain,
( ~ v1_xboole_0(u1_struct_0(U_100))
| ~ l1_struct_0(U_100)
| v3_struct_0(U_100) ),
inference(clausify,[status(thm)],[f_72_2]) ).
fof(f_73_1,plain,
! [A,B,C] :
( ( v3_lattices(g3_lattices(A,B,C))
& ~ v3_struct_0(g3_lattices(A,B,C)) )
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_lattices]) ).
fof(f_73_2,plain,
! [U_103,U_102,U_101] :
( ( v3_lattices(g3_lattices(U_103,U_102,U_101))
& ~ v3_struct_0(g3_lattices(U_103,U_102,U_101)) )
| ~ m1_relset_1(U_101,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_2(U_101,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_1(U_101)
| ~ m1_relset_1(U_102,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_2(U_102,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_1(U_102)
| v1_xboole_0(U_103) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
cnf(f_73_3,plain,
( ~ v3_struct_0(g3_lattices(U_103,U_102,U_101))
| ~ m1_relset_1(U_101,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_2(U_101,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_1(U_101)
| ~ m1_relset_1(U_102,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_2(U_102,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_1(U_102)
| v1_xboole_0(U_103) ),
inference(clausify,[status(thm)],[f_73_2]) ).
cnf(f_73_4,plain,
( v3_lattices(g3_lattices(U_103,U_102,U_101))
| ~ m1_relset_1(U_101,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_2(U_101,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_1(U_101)
| ~ m1_relset_1(U_102,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_2(U_102,k2_zfmisc_1(U_103,U_103),U_103)
| ~ v1_funct_1(U_102)
| v1_xboole_0(U_103) ),
inference(clausify,[status(thm)],[f_73_2]) ).
fof(f_74_1,plain,
! [A] :
( ( v2_pre_topc(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A))
& ~ v3_struct_0(k11_lopclset(A)) )
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_lopclset]) ).
fof(f_74_2,plain,
! [U_104] :
( ( v2_pre_topc(k11_lopclset(U_104))
& v1_pre_topc(k11_lopclset(U_104))
& ~ v3_struct_0(k11_lopclset(U_104)) )
| ~ l3_lattices(U_104)
| v3_realset2(U_104)
| ~ v17_lattices(U_104)
| ~ v10_lattices(U_104)
| v3_struct_0(U_104) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
cnf(f_74_3,plain,
( ~ v3_struct_0(k11_lopclset(U_104))
| ~ l3_lattices(U_104)
| v3_realset2(U_104)
| ~ v17_lattices(U_104)
| ~ v10_lattices(U_104)
| v3_struct_0(U_104) ),
inference(clausify,[status(thm)],[f_74_2]) ).
cnf(f_74_4,plain,
( v1_pre_topc(k11_lopclset(U_104))
| ~ l3_lattices(U_104)
| v3_realset2(U_104)
| ~ v17_lattices(U_104)
| ~ v10_lattices(U_104)
| v3_struct_0(U_104) ),
inference(clausify,[status(thm)],[f_74_2]) ).
cnf(f_74_5,plain,
( v2_pre_topc(k11_lopclset(U_104))
| ~ l3_lattices(U_104)
| v3_realset2(U_104)
| ~ v17_lattices(U_104)
| ~ v10_lattices(U_104)
| v3_struct_0(U_104) ),
inference(clausify,[status(thm)],[f_74_2]) ).
fof(f_75_1,plain,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc6_membered]) ).
cnf(f_75_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_75_1]) ).
cnf(f_75_3,plain,
v1_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_75_1]) ).
cnf(f_75_4,plain,
v2_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_75_1]) ).
cnf(f_75_5,plain,
v3_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_75_1]) ).
cnf(f_75_6,plain,
v4_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_75_1]) ).
cnf(f_75_7,plain,
v5_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_75_1]) ).
fof(f_76_1,plain,
! [A,B] :
( ( ( r2_hidden(A,a_1_0_lopclset(B))
| ! [C] :
( ~ v4_pre_topc(C,B)
| ~ v3_pre_topc(C,B)
| A != C
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) ) )
& ( ? [C] :
( v4_pre_topc(C,B)
& v3_pre_topc(C,B)
& A = C
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ r2_hidden(A,a_1_0_lopclset(B)) ) )
| ~ l1_pre_topc(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_1_0_lopclset]) ).
fof(f_76_2,plain,
! [U_108,U_107] :
( ( ( r2_hidden(U_108,a_1_0_lopclset(U_107))
| ! [U_106] :
( ~ v4_pre_topc(U_106,U_107)
| ~ v3_pre_topc(U_106,U_107)
| U_108 != U_106
| ~ m1_subset_1(U_106,k1_zfmisc_1(u1_struct_0(U_107))) ) )
& ( ? [U_105] :
( v4_pre_topc(U_105,U_107)
& v3_pre_topc(U_105,U_107)
& U_108 = U_105
& m1_subset_1(U_105,k1_zfmisc_1(u1_struct_0(U_107))) )
| ~ r2_hidden(U_108,a_1_0_lopclset(U_107)) ) )
| ~ l1_pre_topc(U_107)
| v3_struct_0(U_107) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
! [U_108,U_107] :
( ( ( r2_hidden(U_108,a_1_0_lopclset(U_107))
| ! [U_106] :
( ~ v4_pre_topc(U_106,U_107)
| ~ v3_pre_topc(U_106,U_107)
| U_108 != U_106
| ~ m1_subset_1(U_106,k1_zfmisc_1(u1_struct_0(U_107))) ) )
& ( ( v4_pre_topc(sK10(U_108,U_107),U_107)
& v3_pre_topc(sK10(U_108,U_107),U_107)
& U_108 = sK10(U_108,U_107)
& m1_subset_1(sK10(U_108,U_107),k1_zfmisc_1(u1_struct_0(U_107))) )
| ~ r2_hidden(U_108,a_1_0_lopclset(U_107)) ) )
| ~ l1_pre_topc(U_107)
| v3_struct_0(U_107) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_105,sK10(U_108,U_107))],[f_76_2]) ).
cnf(f_76_4,plain,
( m1_subset_1(sK10(U_108,U_107),k1_zfmisc_1(u1_struct_0(U_107)))
| ~ r2_hidden(U_108,a_1_0_lopclset(U_107))
| ~ l1_pre_topc(U_107)
| v3_struct_0(U_107) ),
inference(clausify,[status(thm)],[f_76_3]) ).
cnf(f_76_5,plain,
( U_108 = sK10(U_108,U_107)
| ~ r2_hidden(U_108,a_1_0_lopclset(U_107))
| ~ l1_pre_topc(U_107)
| v3_struct_0(U_107) ),
inference(clausify,[status(thm)],[f_76_3]) ).
cnf(f_76_6,plain,
( v3_pre_topc(sK10(U_108,U_107),U_107)
| ~ r2_hidden(U_108,a_1_0_lopclset(U_107))
| ~ l1_pre_topc(U_107)
| v3_struct_0(U_107) ),
inference(clausify,[status(thm)],[f_76_3]) ).
cnf(f_76_7,plain,
( v4_pre_topc(sK10(U_108,U_107),U_107)
| ~ r2_hidden(U_108,a_1_0_lopclset(U_107))
| ~ l1_pre_topc(U_107)
| v3_struct_0(U_107) ),
inference(clausify,[status(thm)],[f_76_3]) ).
cnf(f_76_8,plain,
( r2_hidden(U_108,a_1_0_lopclset(U_107))
| ~ v4_pre_topc(U_106,U_107)
| ~ v3_pre_topc(U_106,U_107)
| U_108 != U_106
| ~ m1_subset_1(U_106,k1_zfmisc_1(u1_struct_0(U_107)))
| ~ l1_pre_topc(U_107)
| v3_struct_0(U_107) ),
inference(clausify,[status(thm)],[f_76_3]) ).
fof(f_77_1,plain,
! [A,B] :
( ! [C,D] :
( ( B = D
& A = C )
| g1_pre_topc(A,B) != g1_pre_topc(C,D) )
| ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
inference(fof_nnf,[status(thm)],[free_g1_pre_topc]) ).
fof(f_77_2,plain,
! [U_112,U_111] :
( ! [U_110,U_109] :
( ( U_111 = U_109
& U_112 = U_110 )
| g1_pre_topc(U_112,U_111) != g1_pre_topc(U_110,U_109) )
| ~ m1_subset_1(U_111,k1_zfmisc_1(k1_zfmisc_1(U_112))) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
cnf(f_77_3,plain,
( U_112 = U_110
| g1_pre_topc(U_112,U_111) != g1_pre_topc(U_110,U_109)
| ~ m1_subset_1(U_111,k1_zfmisc_1(k1_zfmisc_1(U_112))) ),
inference(clausify,[status(thm)],[f_77_2]) ).
cnf(f_77_4,plain,
( U_111 = U_109
| g1_pre_topc(U_112,U_111) != g1_pre_topc(U_110,U_109)
| ~ m1_subset_1(U_111,k1_zfmisc_1(k1_zfmisc_1(U_112))) ),
inference(clausify,[status(thm)],[f_77_2]) ).
fof(f_78_1,plain,
! [A,B,C] :
( ! [D,E,F] :
( ( C = F
& B = E
& A = D )
| g3_lattices(A,B,C) != g3_lattices(D,E,F) )
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[free_g3_lattices]) ).
fof(f_78_2,plain,
! [U_118,U_117,U_116] :
( ! [U_115,U_114,U_113] :
( ( U_116 = U_113
& U_117 = U_114
& U_118 = U_115 )
| g3_lattices(U_118,U_117,U_116) != g3_lattices(U_115,U_114,U_113) )
| ~ m1_relset_1(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_116)
| ~ m1_relset_1(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_117) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
cnf(f_78_3,plain,
( U_118 = U_115
| g3_lattices(U_118,U_117,U_116) != g3_lattices(U_115,U_114,U_113)
| ~ m1_relset_1(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_116)
| ~ m1_relset_1(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_117) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_4,plain,
( U_117 = U_114
| g3_lattices(U_118,U_117,U_116) != g3_lattices(U_115,U_114,U_113)
| ~ m1_relset_1(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_116)
| ~ m1_relset_1(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_117) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_5,plain,
( U_116 = U_113
| g3_lattices(U_118,U_117,U_116) != g3_lattices(U_115,U_114,U_113)
| ~ m1_relset_1(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_116,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_116)
| ~ m1_relset_1(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_2(U_117,k2_zfmisc_1(U_118,U_118),U_118)
| ~ v1_funct_1(U_117) ),
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
? [A] :
( v14_lattices(A)
& v13_lattices(A)
& v12_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc10_lattices]) ).
fof(f_79_2,plain,
? [U_119] :
( v14_lattices(U_119)
& v13_lattices(U_119)
& v12_lattices(U_119)
& v11_lattices(U_119)
& v10_lattices(U_119)
& v9_lattices(U_119)
& v8_lattices(U_119)
& v7_lattices(U_119)
& v6_lattices(U_119)
& v5_lattices(U_119)
& v4_lattices(U_119)
& v3_lattices(U_119)
& ~ v3_struct_0(U_119)
& l3_lattices(U_119) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
( v14_lattices(sK11)
& v13_lattices(sK11)
& v12_lattices(sK11)
& v11_lattices(sK11)
& v10_lattices(sK11)
& v9_lattices(sK11)
& v8_lattices(sK11)
& v7_lattices(sK11)
& v6_lattices(sK11)
& v5_lattices(sK11)
& v4_lattices(sK11)
& v3_lattices(sK11)
& ~ v3_struct_0(sK11)
& l3_lattices(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_119,sK11)],[f_79_2]) ).
cnf(f_79_4,plain,
l3_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_5,plain,
~ v3_struct_0(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_6,plain,
v3_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_7,plain,
v4_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_8,plain,
v5_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_9,plain,
v6_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_10,plain,
v7_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_11,plain,
v8_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_12,plain,
v9_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_13,plain,
v10_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_14,plain,
v11_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_15,plain,
v12_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_16,plain,
v13_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_17,plain,
v14_lattices(sK11),
inference(clausify,[status(thm)],[f_79_3]) ).
fof(f_80_1,plain,
? [A] :
( v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc11_lattices]) ).
fof(f_80_2,plain,
? [U_120] :
( v15_lattices(U_120)
& v14_lattices(U_120)
& v13_lattices(U_120)
& v10_lattices(U_120)
& v9_lattices(U_120)
& v8_lattices(U_120)
& v7_lattices(U_120)
& v6_lattices(U_120)
& v5_lattices(U_120)
& v4_lattices(U_120)
& v3_lattices(U_120)
& ~ v3_struct_0(U_120)
& l3_lattices(U_120) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
( v15_lattices(sK12)
& v14_lattices(sK12)
& v13_lattices(sK12)
& v10_lattices(sK12)
& v9_lattices(sK12)
& v8_lattices(sK12)
& v7_lattices(sK12)
& v6_lattices(sK12)
& v5_lattices(sK12)
& v4_lattices(sK12)
& v3_lattices(sK12)
& ~ v3_struct_0(sK12)
& l3_lattices(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_120,sK12)],[f_80_2]) ).
cnf(f_80_4,plain,
l3_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_5,plain,
~ v3_struct_0(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_6,plain,
v3_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_7,plain,
v4_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_8,plain,
v5_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_9,plain,
v6_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_10,plain,
v7_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_11,plain,
v8_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_12,plain,
v9_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_13,plain,
v10_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_14,plain,
v13_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_15,plain,
v14_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_16,plain,
v15_lattices(sK12),
inference(clausify,[status(thm)],[f_80_3]) ).
fof(f_81_1,plain,
? [A] :
( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc12_lattices]) ).
fof(f_81_2,plain,
? [U_121] :
( v16_lattices(U_121)
& v15_lattices(U_121)
& v14_lattices(U_121)
& v13_lattices(U_121)
& v10_lattices(U_121)
& v9_lattices(U_121)
& v8_lattices(U_121)
& v7_lattices(U_121)
& v6_lattices(U_121)
& v5_lattices(U_121)
& v4_lattices(U_121)
& v3_lattices(U_121)
& ~ v3_struct_0(U_121)
& l3_lattices(U_121) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
( v16_lattices(sK13)
& v15_lattices(sK13)
& v14_lattices(sK13)
& v13_lattices(sK13)
& v10_lattices(sK13)
& v9_lattices(sK13)
& v8_lattices(sK13)
& v7_lattices(sK13)
& v6_lattices(sK13)
& v5_lattices(sK13)
& v4_lattices(sK13)
& v3_lattices(sK13)
& ~ v3_struct_0(sK13)
& l3_lattices(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_121,sK13)],[f_81_2]) ).
cnf(f_81_4,plain,
l3_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_5,plain,
~ v3_struct_0(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_6,plain,
v3_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_7,plain,
v4_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_8,plain,
v5_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_9,plain,
v6_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_10,plain,
v7_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_11,plain,
v8_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_12,plain,
v9_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_13,plain,
v10_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_14,plain,
v13_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_15,plain,
v14_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_16,plain,
v15_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_17,plain,
v16_lattices(sK13),
inference(clausify,[status(thm)],[f_81_3]) ).
fof(f_82_1,plain,
? [A] :
( v17_lattices(A)
& v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc13_lattices]) ).
fof(f_82_2,plain,
? [U_122] :
( v17_lattices(U_122)
& v16_lattices(U_122)
& v15_lattices(U_122)
& v14_lattices(U_122)
& v13_lattices(U_122)
& v11_lattices(U_122)
& v10_lattices(U_122)
& v9_lattices(U_122)
& v8_lattices(U_122)
& v7_lattices(U_122)
& v6_lattices(U_122)
& v5_lattices(U_122)
& v4_lattices(U_122)
& v3_lattices(U_122)
& ~ v3_struct_0(U_122)
& l3_lattices(U_122) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
( v17_lattices(sK14)
& v16_lattices(sK14)
& v15_lattices(sK14)
& v14_lattices(sK14)
& v13_lattices(sK14)
& v11_lattices(sK14)
& v10_lattices(sK14)
& v9_lattices(sK14)
& v8_lattices(sK14)
& v7_lattices(sK14)
& v6_lattices(sK14)
& v5_lattices(sK14)
& v4_lattices(sK14)
& v3_lattices(sK14)
& ~ v3_struct_0(sK14)
& l3_lattices(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_122,sK14)],[f_82_2]) ).
cnf(f_82_4,plain,
l3_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_5,plain,
~ v3_struct_0(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_6,plain,
v3_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_7,plain,
v4_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_8,plain,
v5_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_9,plain,
v6_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_10,plain,
v7_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_11,plain,
v8_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_12,plain,
v9_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_13,plain,
v10_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_14,plain,
v11_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_15,plain,
v13_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_16,plain,
v14_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_17,plain,
v15_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_18,plain,
v16_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_19,plain,
v17_lattices(sK14),
inference(clausify,[status(thm)],[f_82_3]) ).
fof(f_83_1,plain,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_finset_1]) ).
fof(f_83_2,plain,
? [U_123] :
( v1_finset_1(U_123)
& ~ v1_xboole_0(U_123) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
( v1_finset_1(sK15)
& ~ v1_xboole_0(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_123,sK15)],[f_83_2]) ).
cnf(f_83_4,plain,
~ v1_xboole_0(sK15),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_5,plain,
v1_finset_1(sK15),
inference(clausify,[status(thm)],[f_83_3]) ).
fof(f_84_1,plain,
! [A,B] :
? [C] :
( v1_funct_2(C,A,B)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[rc1_funct_2]) ).
fof(f_84_2,plain,
! [U_126,U_125] :
? [U_124] :
( v1_funct_2(U_124,U_126,U_125)
& v1_funct_1(U_124)
& v1_relat_1(U_124)
& m1_relset_1(U_124,U_126,U_125) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
! [U_126,U_125] :
( v1_funct_2(sK16(U_126,U_125),U_126,U_125)
& v1_funct_1(sK16(U_126,U_125))
& v1_relat_1(sK16(U_126,U_125))
& m1_relset_1(sK16(U_126,U_125),U_126,U_125) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_124,sK16(U_126,U_125))],[f_84_2]) ).
cnf(f_84_4,plain,
m1_relset_1(sK16(U_126,U_125),U_126,U_125),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_5,plain,
v1_relat_1(sK16(U_126,U_125)),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_6,plain,
v1_funct_1(sK16(U_126,U_125)),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_7,plain,
v1_funct_2(sK16(U_126,U_125),U_126,U_125),
inference(clausify,[status(thm)],[f_84_3]) ).
fof(f_85_1,plain,
? [A] :
( ~ v3_realset2(A)
& v17_lattices(A)
& v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v12_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc1_lopclset]) ).
fof(f_85_2,plain,
? [U_127] :
( ~ v3_realset2(U_127)
& v17_lattices(U_127)
& v16_lattices(U_127)
& v15_lattices(U_127)
& v14_lattices(U_127)
& v13_lattices(U_127)
& v12_lattices(U_127)
& v11_lattices(U_127)
& v10_lattices(U_127)
& v9_lattices(U_127)
& v8_lattices(U_127)
& v7_lattices(U_127)
& v6_lattices(U_127)
& v5_lattices(U_127)
& v4_lattices(U_127)
& ~ v3_struct_0(U_127)
& l3_lattices(U_127) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
( ~ v3_realset2(sK17)
& v17_lattices(sK17)
& v16_lattices(sK17)
& v15_lattices(sK17)
& v14_lattices(sK17)
& v13_lattices(sK17)
& v12_lattices(sK17)
& v11_lattices(sK17)
& v10_lattices(sK17)
& v9_lattices(sK17)
& v8_lattices(sK17)
& v7_lattices(sK17)
& v6_lattices(sK17)
& v5_lattices(sK17)
& v4_lattices(sK17)
& ~ v3_struct_0(sK17)
& l3_lattices(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_127,sK17)],[f_85_2]) ).
cnf(f_85_4,plain,
l3_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_5,plain,
~ v3_struct_0(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_6,plain,
v4_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_7,plain,
v5_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_8,plain,
v6_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_9,plain,
v7_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_10,plain,
v8_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_11,plain,
v9_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_12,plain,
v10_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_13,plain,
v11_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_14,plain,
v12_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_15,plain,
v13_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_16,plain,
v14_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_17,plain,
v15_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_18,plain,
v16_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_19,plain,
v17_lattices(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_20,plain,
~ v3_realset2(sK17),
inference(clausify,[status(thm)],[f_85_3]) ).
fof(f_86_1,plain,
? [A] :
( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_membered]) ).
fof(f_86_2,plain,
? [U_128] :
( v5_membered(U_128)
& v4_membered(U_128)
& v3_membered(U_128)
& v2_membered(U_128)
& v1_membered(U_128)
& ~ v1_xboole_0(U_128) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
( v5_membered(sK18)
& v4_membered(sK18)
& v3_membered(sK18)
& v2_membered(sK18)
& v1_membered(sK18)
& ~ v1_xboole_0(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_128,sK18)],[f_86_2]) ).
cnf(f_86_4,plain,
~ v1_xboole_0(sK18),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_5,plain,
v1_membered(sK18),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_6,plain,
v2_membered(sK18),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_7,plain,
v3_membered(sK18),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_8,plain,
v4_membered(sK18),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_9,plain,
v5_membered(sK18),
inference(clausify,[status(thm)],[f_86_3]) ).
fof(f_87_1,plain,
? [A] :
( v1_pre_topc(A)
& l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc1_pre_topc]) ).
fof(f_87_2,plain,
? [U_129] :
( v1_pre_topc(U_129)
& l1_pre_topc(U_129) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
( v1_pre_topc(sK19)
& l1_pre_topc(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_129,sK19)],[f_87_2]) ).
cnf(f_87_4,plain,
l1_pre_topc(sK19),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_5,plain,
v1_pre_topc(sK19),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_1,plain,
! [A,B] :
? [C] :
( v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[rc2_partfun1]) ).
fof(f_88_2,plain,
! [U_132,U_131] :
? [U_130] :
( v1_funct_1(U_130)
& v1_relat_1(U_130)
& m1_relset_1(U_130,U_132,U_131) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
! [U_132,U_131] :
( v1_funct_1(sK20(U_132,U_131))
& v1_relat_1(sK20(U_132,U_131))
& m1_relset_1(sK20(U_132,U_131),U_132,U_131) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_130,sK20(U_132,U_131))],[f_88_2]) ).
cnf(f_88_4,plain,
m1_relset_1(sK20(U_132,U_131),U_132,U_131),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
v1_relat_1(sK20(U_132,U_131)),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_6,plain,
v1_funct_1(sK20(U_132,U_131)),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_1,plain,
? [A] :
( v2_pre_topc(A)
& v1_pre_topc(A)
& ~ v3_struct_0(A)
& l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc2_pre_topc]) ).
fof(f_89_2,plain,
? [U_133] :
( v2_pre_topc(U_133)
& v1_pre_topc(U_133)
& ~ v3_struct_0(U_133)
& l1_pre_topc(U_133) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
( v2_pre_topc(sK21)
& v1_pre_topc(sK21)
& ~ v3_struct_0(sK21)
& l1_pre_topc(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_133,sK21)],[f_89_2]) ).
cnf(f_89_4,plain,
l1_pre_topc(sK21),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_5,plain,
~ v3_struct_0(sK21),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_6,plain,
v1_pre_topc(sK21),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_7,plain,
v2_pre_topc(sK21),
inference(clausify,[status(thm)],[f_89_3]) ).
fof(f_90_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_finset_1]) ).
fof(f_90_2,plain,
! [U_135] :
( ? [U_134] :
( v1_finset_1(U_134)
& ~ v1_xboole_0(U_134)
& m1_subset_1(U_134,k1_zfmisc_1(U_135)) )
| v1_xboole_0(U_135) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
! [U_135] :
( ( v1_finset_1(sK22(U_135))
& ~ v1_xboole_0(sK22(U_135))
& m1_subset_1(sK22(U_135),k1_zfmisc_1(U_135)) )
| v1_xboole_0(U_135) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_134,sK22(U_135))],[f_90_2]) ).
cnf(f_90_4,plain,
( m1_subset_1(sK22(U_135),k1_zfmisc_1(U_135))
| v1_xboole_0(U_135) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
( ~ v1_xboole_0(sK22(U_135))
| v1_xboole_0(U_135) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_6,plain,
( v1_finset_1(sK22(U_135))
| v1_xboole_0(U_135) ),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
? [A] :
( v3_lattices(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc3_lattices]) ).
fof(f_91_2,plain,
? [U_136] :
( v3_lattices(U_136)
& l3_lattices(U_136) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
( v3_lattices(sK23)
& l3_lattices(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_136,sK23)],[f_91_2]) ).
cnf(f_91_4,plain,
l3_lattices(sK23),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_5,plain,
v3_lattices(sK23),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_92_2,plain,
? [U_137] :
( ~ v3_struct_0(U_137)
& l1_struct_0(U_137) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
( ~ v3_struct_0(sK24)
& l1_struct_0(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_137,sK24)],[f_92_2]) ).
cnf(f_92_4,plain,
l1_struct_0(sK24),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_5,plain,
~ v3_struct_0(sK24),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_finset_1]) ).
fof(f_93_2,plain,
! [U_139] :
( ? [U_138] :
( v1_finset_1(U_138)
& ~ v1_xboole_0(U_138)
& m1_subset_1(U_138,k1_zfmisc_1(U_139)) )
| v1_xboole_0(U_139) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
! [U_139] :
( ( v1_finset_1(sK25(U_139))
& ~ v1_xboole_0(sK25(U_139))
& m1_subset_1(sK25(U_139),k1_zfmisc_1(U_139)) )
| v1_xboole_0(U_139) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_138,sK25(U_139))],[f_93_2]) ).
cnf(f_93_4,plain,
( m1_subset_1(sK25(U_139),k1_zfmisc_1(U_139))
| v1_xboole_0(U_139) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_5,plain,
( ~ v1_xboole_0(sK25(U_139))
| v1_xboole_0(U_139) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_6,plain,
( v1_finset_1(sK25(U_139))
| v1_xboole_0(U_139) ),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc5_struct_0]) ).
fof(f_94_2,plain,
! [U_141] :
( ? [U_140] :
( ~ v1_xboole_0(U_140)
& m1_subset_1(U_140,k1_zfmisc_1(u1_struct_0(U_141))) )
| ~ l1_struct_0(U_141)
| v3_struct_0(U_141) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_141] :
( ( ~ v1_xboole_0(sK26(U_141))
& m1_subset_1(sK26(U_141),k1_zfmisc_1(u1_struct_0(U_141))) )
| ~ l1_struct_0(U_141)
| v3_struct_0(U_141) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_140,sK26(U_141))],[f_94_2]) ).
cnf(f_94_4,plain,
( m1_subset_1(sK26(U_141),k1_zfmisc_1(u1_struct_0(U_141)))
| ~ l1_struct_0(U_141)
| v3_struct_0(U_141) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( ~ v1_xboole_0(sK26(U_141))
| ~ l1_struct_0(U_141)
| v3_struct_0(U_141) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
? [A] :
( v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc6_lattices]) ).
fof(f_95_2,plain,
? [U_142] :
( v3_lattices(U_142)
& ~ v3_struct_0(U_142)
& l3_lattices(U_142) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
( v3_lattices(sK27)
& ~ v3_struct_0(sK27)
& l3_lattices(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_142,sK27)],[f_95_2]) ).
cnf(f_95_4,plain,
l3_lattices(sK27),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_5,plain,
~ v3_struct_0(sK27),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_6,plain,
v3_lattices(sK27),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
! [A] :
( ? [B] :
( v4_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc6_pre_topc]) ).
fof(f_96_2,plain,
! [U_144] :
( ? [U_143] :
( v4_pre_topc(U_143,U_144)
& m1_subset_1(U_143,k1_zfmisc_1(u1_struct_0(U_144))) )
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
! [U_144] :
( ( v4_pre_topc(sK28(U_144),U_144)
& m1_subset_1(sK28(U_144),k1_zfmisc_1(u1_struct_0(U_144))) )
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_143,sK28(U_144))],[f_96_2]) ).
cnf(f_96_4,plain,
( m1_subset_1(sK28(U_144),k1_zfmisc_1(u1_struct_0(U_144)))
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
( v4_pre_topc(sK28(U_144),U_144)
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [A] :
( ? [B] :
( v4_pre_topc(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc7_pre_topc]) ).
fof(f_97_2,plain,
! [U_146] :
( ? [U_145] :
( v4_pre_topc(U_145,U_146)
& ~ v1_xboole_0(U_145)
& m1_subset_1(U_145,k1_zfmisc_1(u1_struct_0(U_146))) )
| ~ l1_pre_topc(U_146)
| ~ v2_pre_topc(U_146)
| v3_struct_0(U_146) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
! [U_146] :
( ( v4_pre_topc(sK29(U_146),U_146)
& ~ v1_xboole_0(sK29(U_146))
& m1_subset_1(sK29(U_146),k1_zfmisc_1(u1_struct_0(U_146))) )
| ~ l1_pre_topc(U_146)
| ~ v2_pre_topc(U_146)
| v3_struct_0(U_146) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_145,sK29(U_146))],[f_97_2]) ).
cnf(f_97_4,plain,
( m1_subset_1(sK29(U_146),k1_zfmisc_1(u1_struct_0(U_146)))
| ~ l1_pre_topc(U_146)
| ~ v2_pre_topc(U_146)
| v3_struct_0(U_146) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_5,plain,
( ~ v1_xboole_0(sK29(U_146))
| ~ l1_pre_topc(U_146)
| ~ v2_pre_topc(U_146)
| v3_struct_0(U_146) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_6,plain,
( v4_pre_topc(sK29(U_146),U_146)
| ~ l1_pre_topc(U_146)
| ~ v2_pre_topc(U_146)
| v3_struct_0(U_146) ),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_1,plain,
? [A] :
( v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc9_lattices]) ).
fof(f_98_2,plain,
? [U_147] :
( v10_lattices(U_147)
& v9_lattices(U_147)
& v8_lattices(U_147)
& v7_lattices(U_147)
& v6_lattices(U_147)
& v5_lattices(U_147)
& v4_lattices(U_147)
& v3_lattices(U_147)
& ~ v3_struct_0(U_147)
& l3_lattices(U_147) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
( v10_lattices(sK30)
& v9_lattices(sK30)
& v8_lattices(sK30)
& v7_lattices(sK30)
& v6_lattices(sK30)
& v5_lattices(sK30)
& v4_lattices(sK30)
& v3_lattices(sK30)
& ~ v3_struct_0(sK30)
& l3_lattices(sK30) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_147,sK30)],[f_98_2]) ).
cnf(f_98_4,plain,
l3_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_5,plain,
~ v3_struct_0(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_6,plain,
v3_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_7,plain,
v4_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_8,plain,
v5_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_9,plain,
v6_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_10,plain,
v7_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_11,plain,
v8_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_12,plain,
v9_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_13,plain,
v10_lattices(sK30),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1]) ).
fof(f_99_2,plain,
! [U_150,U_149,U_148] :
( ( m2_relset_1(U_148,U_150,U_149)
| ~ m1_relset_1(U_148,U_150,U_149) )
& ( m1_relset_1(U_148,U_150,U_149)
| ~ m2_relset_1(U_148,U_150,U_149) ) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( ! [U_156,U_154,U_152] :
( m2_relset_1(U_152,U_156,U_154)
| ~ m1_relset_1(U_152,U_156,U_154) )
& ! [U_155,U_153,U_151] :
( m1_relset_1(U_151,U_155,U_153)
| ~ m2_relset_1(U_151,U_155,U_153) ) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
cnf(f_99_4,plain,
( m1_relset_1(U_151,U_155,U_153)
| ~ m2_relset_1(U_151,U_155,U_153) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
( m2_relset_1(U_152,U_156,U_154)
| ~ m1_relset_1(U_152,U_156,U_154) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [A,B] :
( r1_filter_1(A,A)
| ~ l3_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r1_filter_1]) ).
fof(f_100_2,plain,
! [U_158,U_157] :
( r1_filter_1(U_158,U_158)
| ~ l3_lattices(U_157)
| ~ v10_lattices(U_157)
| v3_struct_0(U_157)
| ~ l3_lattices(U_158)
| ~ v10_lattices(U_158)
| v3_struct_0(U_158) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
! [U_158] :
( ! [U_157] :
( ~ l3_lattices(U_157)
| ~ v10_lattices(U_157)
| v3_struct_0(U_157) )
| ~ l3_lattices(U_158)
| ~ v10_lattices(U_158)
| v3_struct_0(U_158)
| r1_filter_1(U_158,U_158) ),
inference(miniscope,[status(thm)],[f_100_2]) ).
cnf(f_100_4,plain,
( ~ l3_lattices(U_157)
| ~ v10_lattices(U_157)
| v3_struct_0(U_157)
| ~ l3_lattices(U_158)
| ~ v10_lattices(U_158)
| v3_struct_0(U_158)
| r1_filter_1(U_158,U_158) ),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_101_2,plain,
! [U_160,U_159] : r1_tarski(U_160,U_160),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
! [U_160] : r1_tarski(U_160,U_160),
inference(miniscope,[status(thm)],[f_101_2]) ).
cnf(f_101_4,plain,
r1_tarski(U_160,U_160),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [A,B] :
( r1_filter_1(B,A)
| ~ r1_filter_1(A,B)
| ~ l3_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[symmetry_r1_filter_1]) ).
fof(f_102_2,plain,
! [U_162,U_161] :
( r1_filter_1(U_161,U_162)
| ~ r1_filter_1(U_162,U_161)
| ~ l3_lattices(U_161)
| ~ v10_lattices(U_161)
| v3_struct_0(U_161)
| ~ l3_lattices(U_162)
| ~ v10_lattices(U_162)
| v3_struct_0(U_162) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
cnf(f_102_3,plain,
( r1_filter_1(U_161,U_162)
| ~ r1_filter_1(U_162,U_161)
| ~ l3_lattices(U_161)
| ~ v10_lattices(U_161)
| v3_struct_0(U_161)
| ~ l3_lattices(U_162)
| ~ v10_lattices(U_162)
| v3_struct_0(U_162) ),
inference(clausify,[status(thm)],[f_102_2]) ).
fof(f_103_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_103_2,plain,
! [U_164,U_163] :
( m1_subset_1(U_164,U_163)
| ~ r2_hidden(U_164,U_163) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
cnf(f_103_3,plain,
( m1_subset_1(U_164,U_163)
| ~ r2_hidden(U_164,U_163) ),
inference(clausify,[status(thm)],[f_103_2]) ).
fof(f_104_1,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(fof_nnf,[status(thm)],[t2_subset]) ).
fof(f_104_2,plain,
! [U_166,U_165] :
( r2_hidden(U_166,U_165)
| v1_xboole_0(U_165)
| ~ m1_subset_1(U_166,U_165) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
cnf(f_104_3,plain,
( r2_hidden(U_166,U_165)
| v1_xboole_0(U_165)
| ~ m1_subset_1(U_166,U_165) ),
inference(clausify,[status(thm)],[f_104_2]) ).
fof(f_105_1,plain,
! [A,B] :
( A = B
| ? [C] :
( ( ~ r2_hidden(C,A)
& r2_hidden(C,B) )
| ( ~ r2_hidden(C,B)
& r2_hidden(C,A) ) ) ),
inference(fof_nnf,[status(thm)],[t2_tarski]) ).
fof(f_105_2,plain,
! [U_169,U_168] :
( U_169 = U_168
| ? [U_167] :
( ( ~ r2_hidden(U_167,U_169)
& r2_hidden(U_167,U_168) )
| ( ~ r2_hidden(U_167,U_168)
& r2_hidden(U_167,U_169) ) ) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
! [U_169,U_168] :
( U_169 = U_168
| ? [U_171] :
( ~ r2_hidden(U_171,U_169)
& r2_hidden(U_171,U_168) )
| ? [U_170] :
( ~ r2_hidden(U_170,U_168)
& r2_hidden(U_170,U_169) ) ),
inference(miniscope,[status(thm)],[f_105_2]) ).
fof(f_105_4,plain,
! [U_169,U_168] :
( U_169 = U_168
| ? [U_171] :
( ~ r2_hidden(U_171,U_169)
& r2_hidden(U_171,U_168) )
| ( ~ r2_hidden(sK31(U_169,U_168),U_168)
& r2_hidden(sK31(U_169,U_168),U_169) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_170,sK31(U_169,U_168))],[f_105_3]) ).
fof(f_105_5,plain,
! [U_169,U_168] :
( U_169 = U_168
| ( ~ r2_hidden(sK32(U_169,U_168),U_169)
& r2_hidden(sK32(U_169,U_168),U_168) )
| ( ~ r2_hidden(sK31(U_169,U_168),U_168)
& r2_hidden(sK31(U_169,U_168),U_169) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_171,sK32(U_169,U_168))],[f_105_4]) ).
cnf(f_105_6,plain,
( r2_hidden(sK32(U_169,U_168),U_168)
| r2_hidden(sK31(U_169,U_168),U_169)
| U_169 = U_168 ),
inference(clausify,[status(thm)],[f_105_5]) ).
cnf(f_105_7,plain,
( ~ r2_hidden(sK32(U_169,U_168),U_169)
| r2_hidden(sK31(U_169,U_168),U_169)
| U_169 = U_168 ),
inference(clausify,[status(thm)],[f_105_5]) ).
cnf(f_105_8,plain,
( r2_hidden(sK32(U_169,U_168),U_168)
| ~ r2_hidden(sK31(U_169,U_168),U_168)
| U_169 = U_168 ),
inference(clausify,[status(thm)],[f_105_5]) ).
cnf(f_105_9,plain,
( ~ r2_hidden(sK32(U_169,U_168),U_169)
| ~ r2_hidden(sK31(U_169,U_168),U_168)
| U_169 = U_168 ),
inference(clausify,[status(thm)],[f_105_5]) ).
fof(f_106_1,plain,
! [A,B] :
( ( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) )
& ( r1_tarski(A,B)
| ~ m1_subset_1(A,k1_zfmisc_1(B)) ) ),
inference(fof_nnf,[status(thm)],[t3_subset]) ).
fof(f_106_2,plain,
! [U_173,U_172] :
( ( m1_subset_1(U_173,k1_zfmisc_1(U_172))
| ~ r1_tarski(U_173,U_172) )
& ( r1_tarski(U_173,U_172)
| ~ m1_subset_1(U_173,k1_zfmisc_1(U_172)) ) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( ! [U_177,U_175] :
( m1_subset_1(U_177,k1_zfmisc_1(U_175))
| ~ r1_tarski(U_177,U_175) )
& ! [U_176,U_174] :
( r1_tarski(U_176,U_174)
| ~ m1_subset_1(U_176,k1_zfmisc_1(U_174)) ) ),
inference(miniscope,[status(thm)],[f_106_2]) ).
cnf(f_106_4,plain,
( r1_tarski(U_176,U_174)
| ~ m1_subset_1(U_176,k1_zfmisc_1(U_174)) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_5,plain,
( m1_subset_1(U_177,k1_zfmisc_1(U_175))
| ~ r1_tarski(U_177,U_175) ),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_1,plain,
! [A] :
( r1_filter_1(A,k12_lopclset(A))
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t43_lopclset]) ).
fof(f_107_2,plain,
! [U_178] :
( r1_filter_1(U_178,k12_lopclset(U_178))
| ~ l3_lattices(U_178)
| v3_realset2(U_178)
| ~ v17_lattices(U_178)
| ~ v10_lattices(U_178)
| v3_struct_0(U_178) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
cnf(f_107_3,plain,
( r1_filter_1(U_178,k12_lopclset(U_178))
| ~ l3_lattices(U_178)
| v3_realset2(U_178)
| ~ v17_lattices(U_178)
| ~ v10_lattices(U_178)
| v3_struct_0(U_178) ),
inference(clausify,[status(thm)],[f_107_2]) ).
fof(f_108_1,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t4_subset]) ).
fof(f_108_2,plain,
! [U_181,U_180,U_179] :
( m1_subset_1(U_181,U_179)
| ~ m1_subset_1(U_180,k1_zfmisc_1(U_179))
| ~ r2_hidden(U_181,U_180) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
cnf(f_108_3,plain,
( m1_subset_1(U_181,U_179)
| ~ m1_subset_1(U_180,k1_zfmisc_1(U_179))
| ~ r2_hidden(U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_2]) ).
fof(f_109_1,plain,
! [A,B,C] :
( ~ v1_xboole_0(C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t5_subset]) ).
fof(f_109_2,plain,
! [U_184,U_183,U_182] :
( ~ v1_xboole_0(U_182)
| ~ m1_subset_1(U_183,k1_zfmisc_1(U_182))
| ~ r2_hidden(U_184,U_183) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
! [U_184,U_183] :
( ! [U_182] :
( ~ v1_xboole_0(U_182)
| ~ m1_subset_1(U_183,k1_zfmisc_1(U_182)) )
| ~ r2_hidden(U_184,U_183) ),
inference(miniscope,[status(thm)],[f_109_2]) ).
cnf(f_109_4,plain,
( ~ v1_xboole_0(U_182)
| ~ m1_subset_1(U_183,k1_zfmisc_1(U_182))
| ~ r2_hidden(U_184,U_183) ),
inference(clausify,[status(thm)],[f_109_3]) ).
fof(f_110_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_110_2,plain,
! [U_185] :
( U_185 = k1_xboole_0
| ~ v1_xboole_0(U_185) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
cnf(f_110_3,plain,
( U_185 = k1_xboole_0
| ~ v1_xboole_0(U_185) ),
inference(clausify,[status(thm)],[f_110_2]) ).
fof(f_111_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_111_2,plain,
! [U_187,U_186] :
( ~ v1_xboole_0(U_186)
| ~ r2_hidden(U_187,U_186) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
cnf(f_111_3,plain,
( ~ v1_xboole_0(U_186)
| ~ r2_hidden(U_187,U_186) ),
inference(clausify,[status(thm)],[f_111_2]) ).
fof(f_112_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_112_2,plain,
! [U_189,U_188] :
( ~ v1_xboole_0(U_188)
| U_189 = U_188
| ~ v1_xboole_0(U_189) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_189] :
( ! [U_188] :
( ~ v1_xboole_0(U_188)
| U_189 = U_188 )
| ~ v1_xboole_0(U_189) ),
inference(miniscope,[status(thm)],[f_112_2]) ).
cnf(f_112_4,plain,
( ~ v1_xboole_0(U_188)
| U_189 = U_188
| ~ v1_xboole_0(U_189) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_17_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_17_3]) ).
cnf(f_18_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_18_3]) ).
cnf(f_24_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_24_3]) ).
cnf(f_26_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_26_3]) ).
cnf(f_28_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_3]) ).
cnf(f_30_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_3]) ).
cnf(f_30_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_5]) ).
cnf(f_31_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_31_3]) ).
cnf(f_32_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_32_3]) ).
cnf(f_32_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_32_6]) ).
cnf(f_33_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_33_3]) ).
cnf(f_34_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_34_3]) ).
cnf(f_34_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_34_10]) ).
cnf(f_43_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_43_2]) ).
cnf(f_44_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_44_2]) ).
cnf(f_45_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_2]) ).
cnf(f_51_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_51_2]) ).
cnf(f_54_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_54_2]) ).
cnf(f_55_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_55_2]) ).
cnf(f_59_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_59_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( k6_lopclset(Eq_x_0) = k6_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( u1_struct_0(Eq_x_0) = u1_struct_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( u1_pre_topc(Eq_x_0) = u1_pre_topc(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( g1_pre_topc(Eq_x_0,Eq_x_1) = g1_pre_topc(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( u2_lattices(Eq_x_0) = u2_lattices(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( u1_lattices(Eq_x_0) = u1_lattices(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( g3_lattices(Eq_x_0,Eq_x_1,Eq_x_2) = g3_lattices(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( k1_zfmisc_1(Eq_x_0) = k1_zfmisc_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( k2_zfmisc_1(Eq_x_0,Eq_x_1) = k2_zfmisc_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( k1_lopclset(Eq_x_0) = k1_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( a_1_0_lopclset(Eq_x_0) = a_1_0_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( k4_lopclset(Eq_x_0) = k4_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( k5_lopclset(Eq_x_0) = k5_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( k12_lopclset(Eq_x_0) = k12_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( k11_lopclset(Eq_x_0) = k11_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( sK7(Eq_x_0,Eq_x_1) = sK7(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( sK10(Eq_x_0,Eq_x_1) = sK10(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( sK16(Eq_x_0,Eq_x_1) = sK16(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( sK20(Eq_x_0,Eq_x_1) = sK20(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( sK22(Eq_x_0) = sK22(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK25(Eq_x_0) = sK25(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK26(Eq_x_0) = sK26(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( sK28(Eq_x_0) = sK28(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( sK29(Eq_x_0) = sK29(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( sK31(Eq_x_0,Eq_x_1) = sK31(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( sK32(Eq_x_0,Eq_x_1) = sK32(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( v3_struct_0(Eq_y_0)
| ~ v3_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_33,axiom,
( v10_lattices(Eq_y_0)
| ~ v10_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_34,axiom,
( v17_lattices(Eq_y_0)
| ~ v17_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_35,axiom,
( v3_realset2(Eq_y_0)
| ~ v3_realset2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,axiom,
( l3_lattices(Eq_y_0)
| ~ l3_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_37,axiom,
( v2_pre_topc(Eq_y_0)
| ~ v2_pre_topc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( l1_pre_topc(Eq_y_0)
| ~ l1_pre_topc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( r1_filter_1(Eq_y_0,Eq_y_1)
| ~ r1_filter_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( v1_pre_topc(Eq_y_0)
| ~ v1_pre_topc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,axiom,
( v3_lattices(Eq_y_0)
| ~ v3_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( r2_hidden(Eq_y_0,Eq_y_1)
| ~ r2_hidden(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( m1_subset_1(Eq_y_0,Eq_y_1)
| ~ m1_subset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( v1_xcmplx_0(Eq_y_0)
| ~ v1_xcmplx_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_47,axiom,
( v1_xreal_0(Eq_y_0)
| ~ v1_xreal_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_49,axiom,
( v1_rat_1(Eq_y_0)
| ~ v1_rat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,axiom,
( v1_int_1(Eq_y_0)
| ~ v1_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_54,axiom,
( v1_xboole_0(Eq_y_0)
| ~ v1_xboole_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_55,axiom,
( v1_finset_1(Eq_y_0)
| ~ v1_finset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_56,axiom,
( v4_finsub_1(Eq_y_0)
| ~ v4_finsub_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_57,axiom,
( v1_finsub_1(Eq_y_0)
| ~ v1_finsub_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_58,axiom,
( v3_finsub_1(Eq_y_0)
| ~ v3_finsub_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_59,axiom,
( m1_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_relset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_60,axiom,
( v1_funct_1(Eq_y_0)
| ~ v1_funct_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_61,axiom,
( v1_partfun1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_partfun1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_62,axiom,
( v1_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_63,axiom,
( v4_lattices(Eq_y_0)
| ~ v4_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_64,axiom,
( v5_lattices(Eq_y_0)
| ~ v5_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_65,axiom,
( v6_lattices(Eq_y_0)
| ~ v6_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_66,axiom,
( v7_lattices(Eq_y_0)
| ~ v7_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_67,axiom,
( v8_lattices(Eq_y_0)
| ~ v8_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_68,axiom,
( v9_lattices(Eq_y_0)
| ~ v9_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_69,axiom,
( v1_relat_1(Eq_y_0)
| ~ v1_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_70,axiom,
( v13_lattices(Eq_y_0)
| ~ v13_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_71,axiom,
( v14_lattices(Eq_y_0)
| ~ v14_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_72,axiom,
( v15_lattices(Eq_y_0)
| ~ v15_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_73,axiom,
( v11_lattices(Eq_y_0)
| ~ v11_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_74,axiom,
( v16_lattices(Eq_y_0)
| ~ v16_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_75,axiom,
( v12_lattices(Eq_y_0)
| ~ v12_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_76,axiom,
( m2_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_relset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_77,axiom,
( l1_lattices(Eq_y_0)
| ~ l1_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_78,axiom,
( l1_struct_0(Eq_y_0)
| ~ l1_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_79,axiom,
( l2_lattices(Eq_y_0)
| ~ l2_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_80,axiom,
( v3_pre_topc(Eq_y_0,Eq_y_1)
| ~ v3_pre_topc(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_81,axiom,
( v4_pre_topc(Eq_y_0,Eq_y_1)
| ~ v4_pre_topc(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_82,axiom,
( r1_tarski(Eq_y_0,Eq_y_1)
| ~ r1_tarski(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 19 13:07:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 1.37/1.66 % SZS status Theorem for theBenchmark
% 1.37/1.66 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------