%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT288+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 08:48:04 AM UTC 2026
% Result : Theorem 276.14s 276.41s
% Output : Proof 276.69s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t19_lopclset,conjecture,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> r1_tarski(a_2_0_lopclset(A,B),k7_lopclset(A)) ) ),
file('theBenchmark.p',t19_lopclset) ).
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_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(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_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_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(d3_tarski,axiom,
! [A,B] :
( r1_tarski(A,B)
<=> ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
file('theBenchmark.p',d3_tarski) ).
fof(d5_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> k7_lopclset(A) = a_1_1_lopclset(A) ),
file('theBenchmark.p',d5_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_k7_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('theBenchmark.p',dt_k7_lopclset) ).
fof(dt_l1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_lattices) ).
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_filter_0,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B) ) ) ),
file('theBenchmark.p',dt_m1_filter_0) ).
fof(dt_m1_subset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_subset_1) ).
fof(dt_u1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_u1_struct_0) ).
fof(existence_l1_lattices,axiom,
? [A] : l1_lattices(A),
file('theBenchmark.p',existence_l1_lattices) ).
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_filter_0,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] : m1_filter_0(B,A) ),
file('theBenchmark.p',existence_m1_filter_0) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('theBenchmark.p',existence_m1_subset_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_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(fc2_lopclset,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_realset2(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(k7_lopclset(A)) ),
file('theBenchmark.p',fc2_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_1_lopclset,axiom,
! [A,B] :
( ( l3_lattices(B)
& ~ v3_realset2(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_1_1_lopclset(B))
<=> ? [C] :
( v1_filter_0(C,B)
& A = C
& m1_filter_0(C,B) ) ) ),
file('theBenchmark.p',fraenkel_a_1_1_lopclset) ).
fof(fraenkel_a_2_0_lopclset,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(B))
& l3_lattices(B)
& ~ v3_realset2(B)
& v17_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( r2_hidden(A,a_2_0_lopclset(B,C))
<=> ? [D] :
( r2_hidden(C,D)
& v1_filter_0(D,B)
& A = D
& m1_filter_0(D,B) ) ) ),
file('theBenchmark.p',fraenkel_a_2_0_lopclset) ).
fof(rc1_finset_1,axiom,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc1_finset_1) ).
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(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_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(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
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(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] :
( m1_subset_1(B,u1_struct_0(A))
=> r1_tarski(a_2_0_lopclset(A,B),k7_lopclset(A)) ) ),
inference(negate,[status(cth)],[t19_lopclset]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B] :
( ~ r1_tarski(a_2_0_lopclset(A,B),k7_lopclset(A))
& m1_subset_1(B,u1_struct_0(A)) )
& 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_tarski(a_2_0_lopclset(U_1,U_0),k7_lopclset(U_1))
& m1_subset_1(U_0,u1_struct_0(U_1)) )
& 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_tarski(a_2_0_lopclset(sK1,U_0),k7_lopclset(sK1))
& m1_subset_1(U_0,u1_struct_0(sK1)) )
& 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,
( ~ r1_tarski(a_2_0_lopclset(sK1,sK2),k7_lopclset(sK1))
& m1_subset_1(sK2,u1_struct_0(sK1))
& l3_lattices(sK1)
& ~ v3_realset2(sK1)
& v17_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_0,sK2)],[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,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_12,negated_conjecture,
~ r1_tarski(a_2_0_lopclset(sK1,sK2),k7_lopclset(sK1)),
inference(clausify,[status(thm)],[f_1_5]) ).
fof(f_2_1,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( ~ r2_hidden(U_2,U_3)
| ~ r2_hidden(U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( ~ r2_hidden(U_2,U_3)
| ~ r2_hidden(U_3,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_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_3_2,plain,
! [U_5] :
( ! [U_4] :
( v1_xcmplx_0(U_4)
| ~ m1_subset_1(U_4,U_5) )
| ~ v1_membered(U_5) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( v1_xcmplx_0(U_4)
| ~ m1_subset_1(U_4,U_5)
| ~ v1_membered(U_5) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_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_4_2,plain,
! [U_7] :
( ! [U_6] :
( ( v1_xreal_0(U_6)
& v1_xcmplx_0(U_6) )
| ~ m1_subset_1(U_6,U_7) )
| ~ v2_membered(U_7) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( v1_xcmplx_0(U_6)
| ~ m1_subset_1(U_6,U_7)
| ~ v2_membered(U_7) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( v1_xreal_0(U_6)
| ~ m1_subset_1(U_6,U_7)
| ~ v2_membered(U_7) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_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_5_2,plain,
! [U_9] :
( ! [U_8] :
( ( v1_rat_1(U_8)
& v1_xreal_0(U_8)
& v1_xcmplx_0(U_8) )
| ~ m1_subset_1(U_8,U_9) )
| ~ v3_membered(U_9) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( v1_xcmplx_0(U_8)
| ~ m1_subset_1(U_8,U_9)
| ~ v3_membered(U_9) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( v1_xreal_0(U_8)
| ~ m1_subset_1(U_8,U_9)
| ~ v3_membered(U_9) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_5,plain,
( v1_rat_1(U_8)
| ~ m1_subset_1(U_8,U_9)
| ~ v3_membered(U_9) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_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_6_2,plain,
! [U_11] :
( ! [U_10] :
( ( v1_rat_1(U_10)
& v1_int_1(U_10)
& v1_xreal_0(U_10)
& v1_xcmplx_0(U_10) )
| ~ m1_subset_1(U_10,U_11) )
| ~ v4_membered(U_11) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( v1_xcmplx_0(U_10)
| ~ m1_subset_1(U_10,U_11)
| ~ v4_membered(U_11) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( v1_xreal_0(U_10)
| ~ m1_subset_1(U_10,U_11)
| ~ v4_membered(U_11) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_5,plain,
( v1_int_1(U_10)
| ~ m1_subset_1(U_10,U_11)
| ~ v4_membered(U_11) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_6,plain,
( v1_rat_1(U_10)
| ~ m1_subset_1(U_10,U_11)
| ~ v4_membered(U_11) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_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_7_2,plain,
! [U_13] :
( ! [U_12] :
( ( v1_rat_1(U_12)
& v1_int_1(U_12)
& v1_xreal_0(U_12)
& v4_ordinal2(U_12)
& v1_xcmplx_0(U_12) )
| ~ m1_subset_1(U_12,U_13) )
| ~ v5_membered(U_13) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( v1_xcmplx_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v5_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( v4_ordinal2(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v5_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_5,plain,
( v1_xreal_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v5_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_6,plain,
( v1_int_1(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v5_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_7,plain,
( v1_rat_1(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v5_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_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_8_2,plain,
! [U_14] :
( ( v5_membered(U_14)
& v4_membered(U_14)
& v3_membered(U_14)
& v2_membered(U_14)
& v1_membered(U_14) )
| ~ v1_xboole_0(U_14) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( v1_membered(U_14)
| ~ v1_xboole_0(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( v2_membered(U_14)
| ~ v1_xboole_0(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
( v3_membered(U_14)
| ~ v1_xboole_0(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_6,plain,
( v4_membered(U_14)
| ~ v1_xboole_0(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_7,plain,
( v5_membered(U_14)
| ~ v1_xboole_0(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_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_9_2,plain,
! [U_16] :
( ! [U_15] :
( v1_membered(U_15)
| ~ m1_subset_1(U_15,k1_zfmisc_1(U_16)) )
| ~ v1_membered(U_16) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( v1_membered(U_15)
| ~ m1_subset_1(U_15,k1_zfmisc_1(U_16))
| ~ v1_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_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_10_2,plain,
! [U_18] :
( ! [U_17] :
( ( v2_membered(U_17)
& v1_membered(U_17) )
| ~ m1_subset_1(U_17,k1_zfmisc_1(U_18)) )
| ~ v2_membered(U_18) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( v1_membered(U_17)
| ~ m1_subset_1(U_17,k1_zfmisc_1(U_18))
| ~ v2_membered(U_18) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( v2_membered(U_17)
| ~ m1_subset_1(U_17,k1_zfmisc_1(U_18))
| ~ v2_membered(U_18) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_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_11_2,plain,
! [U_20] :
( ! [U_19] :
( ( v3_membered(U_19)
& v2_membered(U_19)
& v1_membered(U_19) )
| ~ m1_subset_1(U_19,k1_zfmisc_1(U_20)) )
| ~ v3_membered(U_20) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( v1_membered(U_19)
| ~ m1_subset_1(U_19,k1_zfmisc_1(U_20))
| ~ v3_membered(U_20) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( v2_membered(U_19)
| ~ m1_subset_1(U_19,k1_zfmisc_1(U_20))
| ~ v3_membered(U_20) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_5,plain,
( v3_membered(U_19)
| ~ m1_subset_1(U_19,k1_zfmisc_1(U_20))
| ~ v3_membered(U_20) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_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_12_2,plain,
! [U_22] :
( ! [U_21] :
( ( v4_membered(U_21)
& v3_membered(U_21)
& v2_membered(U_21)
& v1_membered(U_21) )
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22)) )
| ~ v4_membered(U_22) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( v1_membered(U_21)
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22))
| ~ v4_membered(U_22) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( v2_membered(U_21)
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22))
| ~ v4_membered(U_22) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_5,plain,
( v3_membered(U_21)
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22))
| ~ v4_membered(U_22) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_6,plain,
( v4_membered(U_21)
| ~ m1_subset_1(U_21,k1_zfmisc_1(U_22))
| ~ v4_membered(U_22) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [A] :
( v1_finset_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_finset_1]) ).
fof(f_13_2,plain,
! [U_23] :
( v1_finset_1(U_23)
| ~ v1_xboole_0(U_23) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( v1_finset_1(U_23)
| ~ v1_xboole_0(U_23) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_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_14_2,plain,
! [U_24] :
( ( v3_finsub_1(U_24)
& v1_finsub_1(U_24) )
| ~ v4_finsub_1(U_24) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( v1_finsub_1(U_24)
| ~ v4_finsub_1(U_24) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( v3_finsub_1(U_24)
| ~ v4_finsub_1(U_24) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_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_15_2,plain,
! [U_25] :
( ( v9_lattices(U_25)
& v8_lattices(U_25)
& v7_lattices(U_25)
& v6_lattices(U_25)
& v5_lattices(U_25)
& v4_lattices(U_25)
& ~ v3_struct_0(U_25) )
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( ~ v3_struct_0(U_25)
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( v4_lattices(U_25)
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_5,plain,
( v5_lattices(U_25)
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_6,plain,
( v6_lattices(U_25)
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_7,plain,
( v7_lattices(U_25)
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_8,plain,
( v8_lattices(U_25)
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_9,plain,
( v9_lattices(U_25)
| ~ v10_lattices(U_25)
| v3_struct_0(U_25)
| ~ l3_lattices(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [A] :
( v4_membered(A)
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc1_membered]) ).
fof(f_16_2,plain,
! [U_26] :
( v4_membered(U_26)
| ~ v5_membered(U_26) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( v4_membered(U_26)
| ~ v5_membered(U_26) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_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_17_2,plain,
! [U_28] :
( ! [U_27] :
( ( v5_membered(U_27)
& v4_membered(U_27)
& v3_membered(U_27)
& v2_membered(U_27)
& v1_membered(U_27) )
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28)) )
| ~ v5_membered(U_28) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( v1_membered(U_27)
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28))
| ~ v5_membered(U_28) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( v2_membered(U_27)
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28))
| ~ v5_membered(U_28) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_5,plain,
( v3_membered(U_27)
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28))
| ~ v5_membered(U_28) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_6,plain,
( v4_membered(U_27)
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28))
| ~ v5_membered(U_28) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_7,plain,
( v5_membered(U_27)
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28))
| ~ v5_membered(U_28) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_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_18_2,plain,
! [U_30] :
( ! [U_29] :
( v1_finset_1(U_29)
| ~ m1_subset_1(U_29,k1_zfmisc_1(U_30)) )
| ~ v1_finset_1(U_30) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( v1_finset_1(U_29)
| ~ m1_subset_1(U_29,k1_zfmisc_1(U_30))
| ~ v1_finset_1(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_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_19_2,plain,
! [U_31] :
( v4_finsub_1(U_31)
| ~ v3_finsub_1(U_31)
| ~ v1_finsub_1(U_31) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( v4_finsub_1(U_31)
| ~ v3_finsub_1(U_31)
| ~ v1_finsub_1(U_31) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_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_20_2,plain,
! [U_32] :
( ( v10_lattices(U_32)
& ~ v3_struct_0(U_32) )
| ~ v9_lattices(U_32)
| ~ v8_lattices(U_32)
| ~ v7_lattices(U_32)
| ~ v6_lattices(U_32)
| ~ v5_lattices(U_32)
| ~ v4_lattices(U_32)
| v3_struct_0(U_32)
| ~ l3_lattices(U_32) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( ~ v3_struct_0(U_32)
| ~ v9_lattices(U_32)
| ~ v8_lattices(U_32)
| ~ v7_lattices(U_32)
| ~ v6_lattices(U_32)
| ~ v5_lattices(U_32)
| ~ v4_lattices(U_32)
| v3_struct_0(U_32)
| ~ l3_lattices(U_32) ),
inference(clausify,[status(thm)],[f_20_2]) ).
cnf(f_20_4,plain,
( v10_lattices(U_32)
| ~ v9_lattices(U_32)
| ~ v8_lattices(U_32)
| ~ v7_lattices(U_32)
| ~ v6_lattices(U_32)
| ~ v5_lattices(U_32)
| ~ v4_lattices(U_32)
| v3_struct_0(U_32)
| ~ l3_lattices(U_32) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A] :
( v3_membered(A)
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc2_membered]) ).
fof(f_21_2,plain,
! [U_33] :
( v3_membered(U_33)
| ~ v4_membered(U_33) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( v3_membered(U_33)
| ~ v4_membered(U_33) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_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_22_2,plain,
! [U_34] :
( ( v15_lattices(U_34)
& ~ v3_struct_0(U_34) )
| ~ v14_lattices(U_34)
| ~ v13_lattices(U_34)
| v3_struct_0(U_34)
| ~ l3_lattices(U_34) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( ~ v3_struct_0(U_34)
| ~ v14_lattices(U_34)
| ~ v13_lattices(U_34)
| v3_struct_0(U_34)
| ~ l3_lattices(U_34) ),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
( v15_lattices(U_34)
| ~ v14_lattices(U_34)
| ~ v13_lattices(U_34)
| v3_struct_0(U_34)
| ~ l3_lattices(U_34) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A] :
( v2_membered(A)
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc3_membered]) ).
fof(f_23_2,plain,
! [U_35] :
( v2_membered(U_35)
| ~ v3_membered(U_35) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( v2_membered(U_35)
| ~ v3_membered(U_35) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_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_24_2,plain,
! [U_36] :
( ( v14_lattices(U_36)
& v13_lattices(U_36)
& ~ v3_struct_0(U_36) )
| ~ v15_lattices(U_36)
| v3_struct_0(U_36)
| ~ l3_lattices(U_36) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( ~ v3_struct_0(U_36)
| ~ v15_lattices(U_36)
| v3_struct_0(U_36)
| ~ l3_lattices(U_36) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( v13_lattices(U_36)
| ~ v15_lattices(U_36)
| v3_struct_0(U_36)
| ~ l3_lattices(U_36) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_5,plain,
( v14_lattices(U_36)
| ~ v15_lattices(U_36)
| v3_struct_0(U_36)
| ~ l3_lattices(U_36) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [A] :
( v1_membered(A)
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc4_membered]) ).
fof(f_25_2,plain,
! [U_37] :
( v1_membered(U_37)
| ~ v2_membered(U_37) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( v1_membered(U_37)
| ~ v2_membered(U_37) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_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_26_2,plain,
! [U_38] :
( ( v16_lattices(U_38)
& v15_lattices(U_38)
& v14_lattices(U_38)
& v13_lattices(U_38)
& v11_lattices(U_38)
& ~ v3_struct_0(U_38) )
| ~ v17_lattices(U_38)
| v3_struct_0(U_38)
| ~ l3_lattices(U_38) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( ~ v3_struct_0(U_38)
| ~ v17_lattices(U_38)
| v3_struct_0(U_38)
| ~ l3_lattices(U_38) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_4,plain,
( v11_lattices(U_38)
| ~ v17_lattices(U_38)
| v3_struct_0(U_38)
| ~ l3_lattices(U_38) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_5,plain,
( v13_lattices(U_38)
| ~ v17_lattices(U_38)
| v3_struct_0(U_38)
| ~ l3_lattices(U_38) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_6,plain,
( v14_lattices(U_38)
| ~ v17_lattices(U_38)
| v3_struct_0(U_38)
| ~ l3_lattices(U_38) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_7,plain,
( v15_lattices(U_38)
| ~ v17_lattices(U_38)
| v3_struct_0(U_38)
| ~ l3_lattices(U_38) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_8,plain,
( v16_lattices(U_38)
| ~ v17_lattices(U_38)
| v3_struct_0(U_38)
| ~ l3_lattices(U_38) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_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_27_2,plain,
! [U_39] :
( ( v17_lattices(U_39)
& ~ v3_struct_0(U_39) )
| ~ v16_lattices(U_39)
| ~ v15_lattices(U_39)
| ~ v11_lattices(U_39)
| v3_struct_0(U_39)
| ~ l3_lattices(U_39) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( ~ v3_struct_0(U_39)
| ~ v16_lattices(U_39)
| ~ v15_lattices(U_39)
| ~ v11_lattices(U_39)
| v3_struct_0(U_39)
| ~ l3_lattices(U_39) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_4,plain,
( v17_lattices(U_39)
| ~ v16_lattices(U_39)
| ~ v15_lattices(U_39)
| ~ v11_lattices(U_39)
| v3_struct_0(U_39)
| ~ l3_lattices(U_39) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_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_28_2,plain,
! [U_40] :
( ( v12_lattices(U_40)
& 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) )
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( ~ v3_struct_0(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( v4_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_5,plain,
( v5_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_6,plain,
( v6_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_7,plain,
( v7_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_8,plain,
( v8_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_9,plain,
( v9_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_10,plain,
( v10_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_11,plain,
( v12_lattices(U_40)
| ~ v11_lattices(U_40)
| ~ v10_lattices(U_40)
| v3_struct_0(U_40)
| ~ l3_lattices(U_40) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [A,B] :
( ( r1_tarski(A,B)
| ? [C] :
( ~ r2_hidden(C,B)
& r2_hidden(C,A) ) )
& ( ! [C] :
( r2_hidden(C,B)
| ~ r2_hidden(C,A) )
| ~ r1_tarski(A,B) ) ),
inference(fof_nnf,[status(thm)],[d3_tarski]) ).
fof(f_29_2,plain,
! [U_44,U_43] :
( ( r1_tarski(U_44,U_43)
| ? [U_42] :
( ~ r2_hidden(U_42,U_43)
& r2_hidden(U_42,U_44) ) )
& ( ! [U_41] :
( r2_hidden(U_41,U_43)
| ~ r2_hidden(U_41,U_44) )
| ~ r1_tarski(U_44,U_43) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_48,U_46] :
( r1_tarski(U_48,U_46)
| ? [U_42] :
( ~ r2_hidden(U_42,U_46)
& r2_hidden(U_42,U_48) ) )
& ! [U_47,U_45] :
( ! [U_41] :
( r2_hidden(U_41,U_45)
| ~ r2_hidden(U_41,U_47) )
| ~ r1_tarski(U_47,U_45) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_48,U_46] :
( r1_tarski(U_48,U_46)
| ( ~ r2_hidden(sK3(U_48,U_46),U_46)
& r2_hidden(sK3(U_48,U_46),U_48) ) )
& ! [U_47,U_45] :
( ! [U_41] :
( r2_hidden(U_41,U_45)
| ~ r2_hidden(U_41,U_47) )
| ~ r1_tarski(U_47,U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_42,sK3(U_48,U_46))],[f_29_3]) ).
cnf(f_29_5,plain,
( r2_hidden(U_41,U_45)
| ~ r2_hidden(U_41,U_47)
| ~ r1_tarski(U_47,U_45) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_6,plain,
( r2_hidden(sK3(U_48,U_46),U_48)
| r1_tarski(U_48,U_46) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_7,plain,
( ~ r2_hidden(sK3(U_48,U_46),U_46)
| r1_tarski(U_48,U_46) ),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
! [A] :
( k7_lopclset(A) = a_1_1_lopclset(A)
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_lopclset]) ).
fof(f_30_2,plain,
! [U_49] :
( k7_lopclset(U_49) = a_1_1_lopclset(U_49)
| ~ l3_lattices(U_49)
| v3_realset2(U_49)
| ~ v17_lattices(U_49)
| ~ v10_lattices(U_49)
| v3_struct_0(U_49) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( k7_lopclset(U_49) = a_1_1_lopclset(U_49)
| ~ l3_lattices(U_49)
| v3_realset2(U_49)
| ~ v17_lattices(U_49)
| ~ v10_lattices(U_49)
| v3_struct_0(U_49) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
cnf(f_31_2,plain,
$true,
inference(clausify,[status(thm)],[f_31_1]) ).
fof(f_32_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
cnf(f_32_2,plain,
$true,
inference(clausify,[status(thm)],[f_32_1]) ).
fof(f_33_1,plain,
! [A] :
( m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_lopclset]) ).
fof(f_33_2,plain,
! [U_50] :
( m1_subset_1(k7_lopclset(U_50),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(U_50))))
| ~ l3_lattices(U_50)
| v3_realset2(U_50)
| ~ v17_lattices(U_50)
| ~ v10_lattices(U_50)
| v3_struct_0(U_50) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( m1_subset_1(k7_lopclset(U_50),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(U_50))))
| ~ l3_lattices(U_50)
| v3_realset2(U_50)
| ~ v17_lattices(U_50)
| ~ v10_lattices(U_50)
| v3_struct_0(U_50) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_lattices]) ).
fof(f_34_2,plain,
! [U_51] :
( l1_struct_0(U_51)
| ~ l1_lattices(U_51) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( l1_struct_0(U_51)
| ~ l1_lattices(U_51) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
cnf(f_35_2,plain,
$true,
inference(clausify,[status(thm)],[f_35_1]) ).
fof(f_36_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l2_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_lattices]) ).
fof(f_36_2,plain,
! [U_52] :
( l1_struct_0(U_52)
| ~ l2_lattices(U_52) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( l1_struct_0(U_52)
| ~ l2_lattices(U_52) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [A] :
( ( l2_lattices(A)
& l1_lattices(A) )
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l3_lattices]) ).
fof(f_37_2,plain,
! [U_53] :
( ( l2_lattices(U_53)
& l1_lattices(U_53) )
| ~ l3_lattices(U_53) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( l1_lattices(U_53)
| ~ l3_lattices(U_53) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_4,plain,
( l2_lattices(U_53)
| ~ l3_lattices(U_53) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [A] :
( ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B) )
| ~ m1_filter_0(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_filter_0]) ).
fof(f_38_2,plain,
! [U_55] :
( ! [U_54] :
( ( m1_subset_1(U_54,k1_zfmisc_1(u1_struct_0(U_55)))
& ~ v1_xboole_0(U_54) )
| ~ m1_filter_0(U_54,U_55) )
| ~ l3_lattices(U_55)
| ~ v10_lattices(U_55)
| v3_struct_0(U_55) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( ~ v1_xboole_0(U_54)
| ~ m1_filter_0(U_54,U_55)
| ~ l3_lattices(U_55)
| ~ v10_lattices(U_55)
| v3_struct_0(U_55) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_4,plain,
( m1_subset_1(U_54,k1_zfmisc_1(u1_struct_0(U_55)))
| ~ m1_filter_0(U_54,U_55)
| ~ l3_lattices(U_55)
| ~ v10_lattices(U_55)
| v3_struct_0(U_55) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_39_2,plain,
$true,
inference(clausify,[status(thm)],[f_39_1]) ).
fof(f_40_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
cnf(f_40_2,plain,
$true,
inference(clausify,[status(thm)],[f_40_1]) ).
fof(f_41_1,plain,
? [A] : l1_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l1_lattices]) ).
fof(f_41_2,plain,
? [U_56] : l1_lattices(U_56),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
l1_lattices(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_56,sK4)],[f_41_2]) ).
cnf(f_41_4,plain,
l1_lattices(sK4),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_42_2,plain,
? [U_57] : l1_struct_0(U_57),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
l1_struct_0(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_57,sK5)],[f_42_2]) ).
cnf(f_42_4,plain,
l1_struct_0(sK5),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
? [A] : l2_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l2_lattices]) ).
fof(f_43_2,plain,
? [U_58] : l2_lattices(U_58),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
l2_lattices(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_58,sK6)],[f_43_2]) ).
cnf(f_43_4,plain,
l2_lattices(sK6),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
? [A] : l3_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l3_lattices]) ).
fof(f_44_2,plain,
? [U_59] : l3_lattices(U_59),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
l3_lattices(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_59,sK7)],[f_44_2]) ).
cnf(f_44_4,plain,
l3_lattices(sK7),
inference(clausify,[status(thm)],[f_44_3]) ).
fof(f_45_1,plain,
! [A] :
( ? [B] : m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_filter_0]) ).
fof(f_45_2,plain,
! [U_61] :
( ? [U_60] : m1_filter_0(U_60,U_61)
| ~ l3_lattices(U_61)
| ~ v10_lattices(U_61)
| v3_struct_0(U_61) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
! [U_61] :
( m1_filter_0(sK8(U_61),U_61)
| ~ l3_lattices(U_61)
| ~ v10_lattices(U_61)
| v3_struct_0(U_61) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_60,sK8(U_61))],[f_45_2]) ).
cnf(f_45_4,plain,
( m1_filter_0(sK8(U_61),U_61)
| ~ l3_lattices(U_61)
| ~ v10_lattices(U_61)
| v3_struct_0(U_61) ),
inference(clausify,[status(thm)],[f_45_3]) ).
fof(f_46_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_46_2,plain,
! [U_63] :
? [U_62] : m1_subset_1(U_62,U_63),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_63] : m1_subset_1(sK9(U_63),U_63),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_62,sK9(U_63))],[f_46_2]) ).
cnf(f_46_4,plain,
m1_subset_1(sK9(U_63),U_63),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_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_47_2,plain,
! [U_64] :
( v4_finsub_1(k1_zfmisc_1(U_64))
& v3_finsub_1(k1_zfmisc_1(U_64))
& v1_finsub_1(k1_zfmisc_1(U_64))
& ~ v1_xboole_0(k1_zfmisc_1(U_64)) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
( ! [U_68] : v4_finsub_1(k1_zfmisc_1(U_68))
& ! [U_67] : v3_finsub_1(k1_zfmisc_1(U_67))
& ! [U_66] : v1_finsub_1(k1_zfmisc_1(U_66))
& ! [U_65] : ~ v1_xboole_0(k1_zfmisc_1(U_65)) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
cnf(f_47_4,plain,
~ v1_xboole_0(k1_zfmisc_1(U_65)),
inference(clausify,[status(thm)],[f_47_3]) ).
cnf(f_47_5,plain,
v1_finsub_1(k1_zfmisc_1(U_66)),
inference(clausify,[status(thm)],[f_47_3]) ).
cnf(f_47_6,plain,
v3_finsub_1(k1_zfmisc_1(U_67)),
inference(clausify,[status(thm)],[f_47_3]) ).
cnf(f_47_7,plain,
v4_finsub_1(k1_zfmisc_1(U_68)),
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_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_48_2,plain,
! [U_69] :
( ~ v1_xboole_0(u1_struct_0(U_69))
| ~ l1_struct_0(U_69)
| v3_struct_0(U_69) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_3,plain,
( ~ v1_xboole_0(u1_struct_0(U_69))
| ~ l1_struct_0(U_69)
| v3_struct_0(U_69) ),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
! [A] :
( ~ v1_xboole_0(k7_lopclset(A))
| ~ l3_lattices(A)
| v3_realset2(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_lopclset]) ).
fof(f_49_2,plain,
! [U_70] :
( ~ v1_xboole_0(k7_lopclset(U_70))
| ~ l3_lattices(U_70)
| v3_realset2(U_70)
| ~ v17_lattices(U_70)
| ~ v10_lattices(U_70)
| v3_struct_0(U_70) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
( ~ v1_xboole_0(k7_lopclset(U_70))
| ~ l3_lattices(U_70)
| v3_realset2(U_70)
| ~ v17_lattices(U_70)
| ~ v10_lattices(U_70)
| v3_struct_0(U_70) ),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_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_50_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_50_1]) ).
cnf(f_50_3,plain,
v1_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_50_1]) ).
cnf(f_50_4,plain,
v2_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_50_1]) ).
cnf(f_50_5,plain,
v3_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_50_1]) ).
cnf(f_50_6,plain,
v4_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_50_1]) ).
cnf(f_50_7,plain,
v5_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_50_1]) ).
fof(f_51_1,plain,
! [A,B] :
( ( ( r2_hidden(A,a_1_1_lopclset(B))
| ! [C] :
( ~ v1_filter_0(C,B)
| A != C
| ~ m1_filter_0(C,B) ) )
& ( ? [C] :
( v1_filter_0(C,B)
& A = C
& m1_filter_0(C,B) )
| ~ r2_hidden(A,a_1_1_lopclset(B)) ) )
| ~ l3_lattices(B)
| v3_realset2(B)
| ~ v17_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_1_1_lopclset]) ).
fof(f_51_2,plain,
! [U_74,U_73] :
( ( ( r2_hidden(U_74,a_1_1_lopclset(U_73))
| ! [U_72] :
( ~ v1_filter_0(U_72,U_73)
| U_74 != U_72
| ~ m1_filter_0(U_72,U_73) ) )
& ( ? [U_71] :
( v1_filter_0(U_71,U_73)
& U_74 = U_71
& m1_filter_0(U_71,U_73) )
| ~ r2_hidden(U_74,a_1_1_lopclset(U_73)) ) )
| ~ l3_lattices(U_73)
| v3_realset2(U_73)
| ~ v17_lattices(U_73)
| ~ v10_lattices(U_73)
| v3_struct_0(U_73) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
! [U_74,U_73] :
( ( ( r2_hidden(U_74,a_1_1_lopclset(U_73))
| ! [U_72] :
( ~ v1_filter_0(U_72,U_73)
| U_74 != U_72
| ~ m1_filter_0(U_72,U_73) ) )
& ( ( v1_filter_0(sK10(U_74,U_73),U_73)
& U_74 = sK10(U_74,U_73)
& m1_filter_0(sK10(U_74,U_73),U_73) )
| ~ r2_hidden(U_74,a_1_1_lopclset(U_73)) ) )
| ~ l3_lattices(U_73)
| v3_realset2(U_73)
| ~ v17_lattices(U_73)
| ~ v10_lattices(U_73)
| v3_struct_0(U_73) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_71,sK10(U_74,U_73))],[f_51_2]) ).
cnf(f_51_4,plain,
( m1_filter_0(sK10(U_74,U_73),U_73)
| ~ r2_hidden(U_74,a_1_1_lopclset(U_73))
| ~ l3_lattices(U_73)
| v3_realset2(U_73)
| ~ v17_lattices(U_73)
| ~ v10_lattices(U_73)
| v3_struct_0(U_73) ),
inference(clausify,[status(thm)],[f_51_3]) ).
cnf(f_51_5,plain,
( U_74 = sK10(U_74,U_73)
| ~ r2_hidden(U_74,a_1_1_lopclset(U_73))
| ~ l3_lattices(U_73)
| v3_realset2(U_73)
| ~ v17_lattices(U_73)
| ~ v10_lattices(U_73)
| v3_struct_0(U_73) ),
inference(clausify,[status(thm)],[f_51_3]) ).
cnf(f_51_6,plain,
( v1_filter_0(sK10(U_74,U_73),U_73)
| ~ r2_hidden(U_74,a_1_1_lopclset(U_73))
| ~ l3_lattices(U_73)
| v3_realset2(U_73)
| ~ v17_lattices(U_73)
| ~ v10_lattices(U_73)
| v3_struct_0(U_73) ),
inference(clausify,[status(thm)],[f_51_3]) ).
cnf(f_51_7,plain,
( r2_hidden(U_74,a_1_1_lopclset(U_73))
| ~ v1_filter_0(U_72,U_73)
| U_74 != U_72
| ~ m1_filter_0(U_72,U_73)
| ~ l3_lattices(U_73)
| v3_realset2(U_73)
| ~ v17_lattices(U_73)
| ~ v10_lattices(U_73)
| v3_struct_0(U_73) ),
inference(clausify,[status(thm)],[f_51_3]) ).
fof(f_52_1,plain,
! [A,B,C] :
( ( ( r2_hidden(A,a_2_0_lopclset(B,C))
| ! [D] :
( ~ r2_hidden(C,D)
| ~ v1_filter_0(D,B)
| A != D
| ~ m1_filter_0(D,B) ) )
& ( ? [D] :
( r2_hidden(C,D)
& v1_filter_0(D,B)
& A = D
& m1_filter_0(D,B) )
| ~ r2_hidden(A,a_2_0_lopclset(B,C)) ) )
| ~ m1_subset_1(C,u1_struct_0(B))
| ~ l3_lattices(B)
| v3_realset2(B)
| ~ v17_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B) ),
inference(fof_nnf,[status(thm)],[fraenkel_a_2_0_lopclset]) ).
fof(f_52_2,plain,
! [U_79,U_78,U_77] :
( ( ( r2_hidden(U_79,a_2_0_lopclset(U_78,U_77))
| ! [U_76] :
( ~ r2_hidden(U_77,U_76)
| ~ v1_filter_0(U_76,U_78)
| U_79 != U_76
| ~ m1_filter_0(U_76,U_78) ) )
& ( ? [U_75] :
( r2_hidden(U_77,U_75)
& v1_filter_0(U_75,U_78)
& U_79 = U_75
& m1_filter_0(U_75,U_78) )
| ~ r2_hidden(U_79,a_2_0_lopclset(U_78,U_77)) ) )
| ~ m1_subset_1(U_77,u1_struct_0(U_78))
| ~ l3_lattices(U_78)
| v3_realset2(U_78)
| ~ v17_lattices(U_78)
| ~ v10_lattices(U_78)
| v3_struct_0(U_78) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
! [U_79,U_78,U_77] :
( ( ( r2_hidden(U_79,a_2_0_lopclset(U_78,U_77))
| ! [U_76] :
( ~ r2_hidden(U_77,U_76)
| ~ v1_filter_0(U_76,U_78)
| U_79 != U_76
| ~ m1_filter_0(U_76,U_78) ) )
& ( ( r2_hidden(U_77,sK11(U_79,U_78,U_77))
& v1_filter_0(sK11(U_79,U_78,U_77),U_78)
& U_79 = sK11(U_79,U_78,U_77)
& m1_filter_0(sK11(U_79,U_78,U_77),U_78) )
| ~ r2_hidden(U_79,a_2_0_lopclset(U_78,U_77)) ) )
| ~ m1_subset_1(U_77,u1_struct_0(U_78))
| ~ l3_lattices(U_78)
| v3_realset2(U_78)
| ~ v17_lattices(U_78)
| ~ v10_lattices(U_78)
| v3_struct_0(U_78) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_75,sK11(U_79,U_78,U_77))],[f_52_2]) ).
cnf(f_52_4,plain,
( m1_filter_0(sK11(U_79,U_78,U_77),U_78)
| ~ r2_hidden(U_79,a_2_0_lopclset(U_78,U_77))
| ~ m1_subset_1(U_77,u1_struct_0(U_78))
| ~ l3_lattices(U_78)
| v3_realset2(U_78)
| ~ v17_lattices(U_78)
| ~ v10_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_5,plain,
( U_79 = sK11(U_79,U_78,U_77)
| ~ r2_hidden(U_79,a_2_0_lopclset(U_78,U_77))
| ~ m1_subset_1(U_77,u1_struct_0(U_78))
| ~ l3_lattices(U_78)
| v3_realset2(U_78)
| ~ v17_lattices(U_78)
| ~ v10_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_6,plain,
( v1_filter_0(sK11(U_79,U_78,U_77),U_78)
| ~ r2_hidden(U_79,a_2_0_lopclset(U_78,U_77))
| ~ m1_subset_1(U_77,u1_struct_0(U_78))
| ~ l3_lattices(U_78)
| v3_realset2(U_78)
| ~ v17_lattices(U_78)
| ~ v10_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_7,plain,
( r2_hidden(U_77,sK11(U_79,U_78,U_77))
| ~ r2_hidden(U_79,a_2_0_lopclset(U_78,U_77))
| ~ m1_subset_1(U_77,u1_struct_0(U_78))
| ~ l3_lattices(U_78)
| v3_realset2(U_78)
| ~ v17_lattices(U_78)
| ~ v10_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_8,plain,
( r2_hidden(U_79,a_2_0_lopclset(U_78,U_77))
| ~ r2_hidden(U_77,U_76)
| ~ v1_filter_0(U_76,U_78)
| U_79 != U_76
| ~ m1_filter_0(U_76,U_78)
| ~ m1_subset_1(U_77,u1_struct_0(U_78))
| ~ l3_lattices(U_78)
| v3_realset2(U_78)
| ~ v17_lattices(U_78)
| ~ v10_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_1,plain,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_finset_1]) ).
fof(f_53_2,plain,
? [U_80] :
( v1_finset_1(U_80)
& ~ v1_xboole_0(U_80) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
( v1_finset_1(sK12)
& ~ v1_xboole_0(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_80,sK12)],[f_53_2]) ).
cnf(f_53_4,plain,
~ v1_xboole_0(sK12),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_5,plain,
v1_finset_1(sK12),
inference(clausify,[status(thm)],[f_53_3]) ).
fof(f_54_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_54_2,plain,
? [U_81] :
( ~ v3_realset2(U_81)
& v17_lattices(U_81)
& v16_lattices(U_81)
& v15_lattices(U_81)
& v14_lattices(U_81)
& v13_lattices(U_81)
& v12_lattices(U_81)
& v11_lattices(U_81)
& v10_lattices(U_81)
& v9_lattices(U_81)
& v8_lattices(U_81)
& v7_lattices(U_81)
& v6_lattices(U_81)
& v5_lattices(U_81)
& v4_lattices(U_81)
& ~ v3_struct_0(U_81)
& l3_lattices(U_81) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
( ~ v3_realset2(sK13)
& v17_lattices(sK13)
& v16_lattices(sK13)
& v15_lattices(sK13)
& v14_lattices(sK13)
& v13_lattices(sK13)
& v12_lattices(sK13)
& v11_lattices(sK13)
& v10_lattices(sK13)
& v9_lattices(sK13)
& v8_lattices(sK13)
& v7_lattices(sK13)
& v6_lattices(sK13)
& v5_lattices(sK13)
& v4_lattices(sK13)
& ~ v3_struct_0(sK13)
& l3_lattices(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_81,sK13)],[f_54_2]) ).
cnf(f_54_4,plain,
l3_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_5,plain,
~ v3_struct_0(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_6,plain,
v4_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_7,plain,
v5_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_8,plain,
v6_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_9,plain,
v7_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_10,plain,
v8_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_11,plain,
v9_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_12,plain,
v10_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_13,plain,
v11_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_14,plain,
v12_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_15,plain,
v13_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_16,plain,
v14_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_17,plain,
v15_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_18,plain,
v16_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_19,plain,
v17_lattices(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_20,plain,
~ v3_realset2(sK13),
inference(clausify,[status(thm)],[f_54_3]) ).
fof(f_55_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_55_2,plain,
? [U_82] :
( v5_membered(U_82)
& v4_membered(U_82)
& v3_membered(U_82)
& v2_membered(U_82)
& v1_membered(U_82)
& ~ v1_xboole_0(U_82) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
( v5_membered(sK14)
& v4_membered(sK14)
& v3_membered(sK14)
& v2_membered(sK14)
& v1_membered(sK14)
& ~ v1_xboole_0(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_82,sK14)],[f_55_2]) ).
cnf(f_55_4,plain,
~ v1_xboole_0(sK14),
inference(clausify,[status(thm)],[f_55_3]) ).
cnf(f_55_5,plain,
v1_membered(sK14),
inference(clausify,[status(thm)],[f_55_3]) ).
cnf(f_55_6,plain,
v2_membered(sK14),
inference(clausify,[status(thm)],[f_55_3]) ).
cnf(f_55_7,plain,
v3_membered(sK14),
inference(clausify,[status(thm)],[f_55_3]) ).
cnf(f_55_8,plain,
v4_membered(sK14),
inference(clausify,[status(thm)],[f_55_3]) ).
cnf(f_55_9,plain,
v5_membered(sK14),
inference(clausify,[status(thm)],[f_55_3]) ).
fof(f_56_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_56_2,plain,
! [U_84] :
( ? [U_83] :
( v1_finset_1(U_83)
& ~ v1_xboole_0(U_83)
& m1_subset_1(U_83,k1_zfmisc_1(U_84)) )
| v1_xboole_0(U_84) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
! [U_84] :
( ( v1_finset_1(sK15(U_84))
& ~ v1_xboole_0(sK15(U_84))
& m1_subset_1(sK15(U_84),k1_zfmisc_1(U_84)) )
| v1_xboole_0(U_84) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_83,sK15(U_84))],[f_56_2]) ).
cnf(f_56_4,plain,
( m1_subset_1(sK15(U_84),k1_zfmisc_1(U_84))
| v1_xboole_0(U_84) ),
inference(clausify,[status(thm)],[f_56_3]) ).
cnf(f_56_5,plain,
( ~ v1_xboole_0(sK15(U_84))
| v1_xboole_0(U_84) ),
inference(clausify,[status(thm)],[f_56_3]) ).
cnf(f_56_6,plain,
( v1_finset_1(sK15(U_84))
| v1_xboole_0(U_84) ),
inference(clausify,[status(thm)],[f_56_3]) ).
fof(f_57_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_57_2,plain,
? [U_85] :
( ~ v3_struct_0(U_85)
& l1_struct_0(U_85) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
( ~ v3_struct_0(sK16)
& l1_struct_0(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_85,sK16)],[f_57_2]) ).
cnf(f_57_4,plain,
l1_struct_0(sK16),
inference(clausify,[status(thm)],[f_57_3]) ).
cnf(f_57_5,plain,
~ v3_struct_0(sK16),
inference(clausify,[status(thm)],[f_57_3]) ).
fof(f_58_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_58_2,plain,
! [U_87] :
( ? [U_86] :
( v1_finset_1(U_86)
& ~ v1_xboole_0(U_86)
& m1_subset_1(U_86,k1_zfmisc_1(U_87)) )
| v1_xboole_0(U_87) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
! [U_87] :
( ( v1_finset_1(sK17(U_87))
& ~ v1_xboole_0(sK17(U_87))
& m1_subset_1(sK17(U_87),k1_zfmisc_1(U_87)) )
| v1_xboole_0(U_87) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_86,sK17(U_87))],[f_58_2]) ).
cnf(f_58_4,plain,
( m1_subset_1(sK17(U_87),k1_zfmisc_1(U_87))
| v1_xboole_0(U_87) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_5,plain,
( ~ v1_xboole_0(sK17(U_87))
| v1_xboole_0(U_87) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_6,plain,
( v1_finset_1(sK17(U_87))
| v1_xboole_0(U_87) ),
inference(clausify,[status(thm)],[f_58_3]) ).
fof(f_59_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_59_2,plain,
! [U_89] :
( ? [U_88] :
( ~ v1_xboole_0(U_88)
& m1_subset_1(U_88,k1_zfmisc_1(u1_struct_0(U_89))) )
| ~ l1_struct_0(U_89)
| v3_struct_0(U_89) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
! [U_89] :
( ( ~ v1_xboole_0(sK18(U_89))
& m1_subset_1(sK18(U_89),k1_zfmisc_1(u1_struct_0(U_89))) )
| ~ l1_struct_0(U_89)
| v3_struct_0(U_89) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_88,sK18(U_89))],[f_59_2]) ).
cnf(f_59_4,plain,
( m1_subset_1(sK18(U_89),k1_zfmisc_1(u1_struct_0(U_89)))
| ~ l1_struct_0(U_89)
| v3_struct_0(U_89) ),
inference(clausify,[status(thm)],[f_59_3]) ).
cnf(f_59_5,plain,
( ~ v1_xboole_0(sK18(U_89))
| ~ l1_struct_0(U_89)
| v3_struct_0(U_89) ),
inference(clausify,[status(thm)],[f_59_3]) ).
fof(f_60_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_60_2,plain,
! [U_91,U_90] : r1_tarski(U_91,U_91),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
! [U_91] : r1_tarski(U_91,U_91),
inference(miniscope,[status(thm)],[f_60_2]) ).
cnf(f_60_4,plain,
r1_tarski(U_91,U_91),
inference(clausify,[status(thm)],[f_60_3]) ).
fof(f_61_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_61_2,plain,
! [U_93,U_92] :
( m1_subset_1(U_93,U_92)
| ~ r2_hidden(U_93,U_92) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
cnf(f_61_3,plain,
( m1_subset_1(U_93,U_92)
| ~ r2_hidden(U_93,U_92) ),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_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_62_2,plain,
! [U_95,U_94] :
( r2_hidden(U_95,U_94)
| v1_xboole_0(U_94)
| ~ m1_subset_1(U_95,U_94) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
cnf(f_62_3,plain,
( r2_hidden(U_95,U_94)
| v1_xboole_0(U_94)
| ~ m1_subset_1(U_95,U_94) ),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_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_63_2,plain,
! [U_98,U_97] :
( U_98 = U_97
| ? [U_96] :
( ( ~ r2_hidden(U_96,U_98)
& r2_hidden(U_96,U_97) )
| ( ~ r2_hidden(U_96,U_97)
& r2_hidden(U_96,U_98) ) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
! [U_98,U_97] :
( U_98 = U_97
| ? [U_100] :
( ~ r2_hidden(U_100,U_98)
& r2_hidden(U_100,U_97) )
| ? [U_99] :
( ~ r2_hidden(U_99,U_97)
& r2_hidden(U_99,U_98) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
! [U_98,U_97] :
( U_98 = U_97
| ? [U_100] :
( ~ r2_hidden(U_100,U_98)
& r2_hidden(U_100,U_97) )
| ( ~ r2_hidden(sK19(U_98,U_97),U_97)
& r2_hidden(sK19(U_98,U_97),U_98) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_99,sK19(U_98,U_97))],[f_63_3]) ).
fof(f_63_5,plain,
! [U_98,U_97] :
( U_98 = U_97
| ( ~ r2_hidden(sK20(U_98,U_97),U_98)
& r2_hidden(sK20(U_98,U_97),U_97) )
| ( ~ r2_hidden(sK19(U_98,U_97),U_97)
& r2_hidden(sK19(U_98,U_97),U_98) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_100,sK20(U_98,U_97))],[f_63_4]) ).
cnf(f_63_6,plain,
( r2_hidden(sK20(U_98,U_97),U_97)
| r2_hidden(sK19(U_98,U_97),U_98)
| U_98 = U_97 ),
inference(clausify,[status(thm)],[f_63_5]) ).
cnf(f_63_7,plain,
( ~ r2_hidden(sK20(U_98,U_97),U_98)
| r2_hidden(sK19(U_98,U_97),U_98)
| U_98 = U_97 ),
inference(clausify,[status(thm)],[f_63_5]) ).
cnf(f_63_8,plain,
( r2_hidden(sK20(U_98,U_97),U_97)
| ~ r2_hidden(sK19(U_98,U_97),U_97)
| U_98 = U_97 ),
inference(clausify,[status(thm)],[f_63_5]) ).
cnf(f_63_9,plain,
( ~ r2_hidden(sK20(U_98,U_97),U_98)
| ~ r2_hidden(sK19(U_98,U_97),U_97)
| U_98 = U_97 ),
inference(clausify,[status(thm)],[f_63_5]) ).
fof(f_64_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_64_2,plain,
! [U_102,U_101] :
( ( m1_subset_1(U_102,k1_zfmisc_1(U_101))
| ~ r1_tarski(U_102,U_101) )
& ( r1_tarski(U_102,U_101)
| ~ m1_subset_1(U_102,k1_zfmisc_1(U_101)) ) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_106,U_104] :
( m1_subset_1(U_106,k1_zfmisc_1(U_104))
| ~ r1_tarski(U_106,U_104) )
& ! [U_105,U_103] :
( r1_tarski(U_105,U_103)
| ~ m1_subset_1(U_105,k1_zfmisc_1(U_103)) ) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
cnf(f_64_4,plain,
( r1_tarski(U_105,U_103)
| ~ m1_subset_1(U_105,k1_zfmisc_1(U_103)) ),
inference(clausify,[status(thm)],[f_64_3]) ).
cnf(f_64_5,plain,
( m1_subset_1(U_106,k1_zfmisc_1(U_104))
| ~ r1_tarski(U_106,U_104) ),
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_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_65_2,plain,
! [U_109,U_108,U_107] :
( m1_subset_1(U_109,U_107)
| ~ m1_subset_1(U_108,k1_zfmisc_1(U_107))
| ~ r2_hidden(U_109,U_108) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
cnf(f_65_3,plain,
( m1_subset_1(U_109,U_107)
| ~ m1_subset_1(U_108,k1_zfmisc_1(U_107))
| ~ r2_hidden(U_109,U_108) ),
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_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_66_2,plain,
! [U_112,U_111,U_110] :
( ~ v1_xboole_0(U_110)
| ~ m1_subset_1(U_111,k1_zfmisc_1(U_110))
| ~ r2_hidden(U_112,U_111) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
! [U_112,U_111] :
( ! [U_110] :
( ~ v1_xboole_0(U_110)
| ~ m1_subset_1(U_111,k1_zfmisc_1(U_110)) )
| ~ r2_hidden(U_112,U_111) ),
inference(miniscope,[status(thm)],[f_66_2]) ).
cnf(f_66_4,plain,
( ~ v1_xboole_0(U_110)
| ~ m1_subset_1(U_111,k1_zfmisc_1(U_110))
| ~ r2_hidden(U_112,U_111) ),
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_67_2,plain,
! [U_113] :
( U_113 = k1_xboole_0
| ~ v1_xboole_0(U_113) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
cnf(f_67_3,plain,
( U_113 = k1_xboole_0
| ~ v1_xboole_0(U_113) ),
inference(clausify,[status(thm)],[f_67_2]) ).
fof(f_68_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_68_2,plain,
! [U_115,U_114] :
( ~ v1_xboole_0(U_114)
| ~ r2_hidden(U_115,U_114) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
cnf(f_68_3,plain,
( ~ v1_xboole_0(U_114)
| ~ r2_hidden(U_115,U_114) ),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_69_2,plain,
! [U_117,U_116] :
( ~ v1_xboole_0(U_116)
| U_117 = U_116
| ~ v1_xboole_0(U_117) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_117] :
( ! [U_116] :
( ~ v1_xboole_0(U_116)
| U_117 = U_116 )
| ~ v1_xboole_0(U_117) ),
inference(miniscope,[status(thm)],[f_69_2]) ).
cnf(f_69_4,plain,
( ~ v1_xboole_0(U_116)
| U_117 = U_116
| ~ v1_xboole_0(U_117) ),
inference(clausify,[status(thm)],[f_69_3]) ).
cnf(f_15_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_15_3]) ).
cnf(f_20_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_20_3]) ).
cnf(f_22_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_22_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_27_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_3]) ).
cnf(f_28_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_3]) ).
cnf(f_28_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_10]) ).
cnf(f_31_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_31_2]) ).
cnf(f_32_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_32_2]) ).
cnf(f_35_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_35_2]) ).
cnf(f_39_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_39_2]) ).
cnf(f_40_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_40_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,
( u1_struct_0(Eq_x_0) = u1_struct_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( a_2_0_lopclset(Eq_x_0,Eq_x_1) = a_2_0_lopclset(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( k7_lopclset(Eq_x_0) = k7_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,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_8,axiom,
( a_1_1_lopclset(Eq_x_0) = a_1_1_lopclset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( sK3(Eq_x_0,Eq_x_1) = sK3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,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_13,axiom,
( sK11(Eq_x_0,Eq_x_1,Eq_x_2) = sK11(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_14,axiom,
( sK15(Eq_x_0) = sK15(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( sK17(Eq_x_0) = sK17(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( sK18(Eq_x_0) = sK18(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( sK19(Eq_x_0,Eq_x_1) = sK19(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,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_19,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_20,axiom,
( v10_lattices(Eq_y_0)
| ~ v10_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( v17_lattices(Eq_y_0)
| ~ v17_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( v3_realset2(Eq_y_0)
| ~ v3_realset2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( l3_lattices(Eq_y_0)
| ~ l3_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,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_25,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(equality_26,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_27,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_28,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_29,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,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_31,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_32,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_33,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_34,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_35,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_37,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_38,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_39,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_40,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_41,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_42,axiom,
( v4_lattices(Eq_y_0)
| ~ v4_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( v5_lattices(Eq_y_0)
| ~ v5_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( v6_lattices(Eq_y_0)
| ~ v6_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( v7_lattices(Eq_y_0)
| ~ v7_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,axiom,
( v8_lattices(Eq_y_0)
| ~ v8_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_47,axiom,
( v9_lattices(Eq_y_0)
| ~ v9_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,axiom,
( v13_lattices(Eq_y_0)
| ~ v13_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_49,axiom,
( v14_lattices(Eq_y_0)
| ~ v14_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,axiom,
( v15_lattices(Eq_y_0)
| ~ v15_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,axiom,
( v11_lattices(Eq_y_0)
| ~ v11_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( v16_lattices(Eq_y_0)
| ~ v16_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,axiom,
( v12_lattices(Eq_y_0)
| ~ v12_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_54,axiom,
( l1_lattices(Eq_y_0)
| ~ l1_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_55,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_56,axiom,
( l2_lattices(Eq_y_0)
| ~ l2_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_57,axiom,
( m1_filter_0(Eq_y_0,Eq_y_1)
| ~ m1_filter_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_58,axiom,
( v1_filter_0(Eq_y_0,Eq_y_1)
| ~ v1_filter_0(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
% 0.00/0.02 % Problem : LAT288+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 13:04:28 UTC 2026
% 0.08/0.37 % CPUTime :
% 276.14/276.41 % SZS status Theorem for theBenchmark
% 276.14/276.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------